Finite Group Databasebeta

← C47×#61610 #26101308

Subgroups — C47×#61610 #26101308

Order 12032.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3541C211yesmaximal, characteristic, complemented
2C47×#3484C211yesmaximal, characteristic, complemented
3C47×#3324C211yesmaximal, characteristic, complemented
4C47×#3323C211yesmaximal, characteristic, complemented
5C47×#3318C211yesmaximal, characteristic, complemented
6C47×#3314C211yesmaximal, characteristic, complemented
7C47×#3311C211yesmaximal, characteristic, complemented
8C47×#3310C211yesmaximal, characteristic, complemented
9C47×#3297C211yesmaximal, characteristic, complemented
10C47×#3295C211yesmaximal, characteristic, complemented
11C47×#3282C211yesmaximal, characteristic, complemented
12D4×SD16×C47C211yesmaximal, characteristic, complemented
13C47×#3275C211yesmaximal, characteristic, complemented
14C47×#3272C211yesmaximal, characteristic, complemented
15C47×#3267C211yesmaximal, characteristic, complemented
16C47×#3266C211yesmaximal, characteristic, complemented
17C47×#3265C211yesmaximal, characteristic, complemented
18C47×#3265C211yesmaximal, characteristic, complemented
19C47×#3224C211yesmaximal, characteristic, complemented
20C47×#3222C211yesmaximal, characteristic, complemented
21C47×#3200C211yesmaximal, characteristic, complemented
22C47×#3198C211yesmaximal, characteristic, complemented
23C47×#3196C211yesmaximal, characteristic, complemented
24C47×#3191C211yesmaximal, characteristic, complemented
25C47×#3123C211yesmaximal, characteristic, complemented
26C47×#3118C211yesmaximal, characteristic, complemented
27C47×#3012C211yesmaximal, characteristic, complemented
28C47×#3009C211yesmaximal, characteristic, complemented
29C47×#3003C211yesmaximal, characteristic, complemented
30C2×C47×#450C211yesmaximal, characteristic, complemented
31C47×#2976C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C47C2211yescharacteristic
33C23×D4×C47C2211yescharacteristic
34C2×#137×C47C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
36C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
38C2×#135×C47C2211yescharacteristic, complemented
39C22×SD16×C47C2211yescharacteristic, complemented
40C22×SD16×C47C2211yescharacteristic, complemented
41C22×SD16×C47C2211yescharacteristic, complemented
42C47×#563—21no—
43C47×#562—21no—
44C47×#556C2211yescharacteristic, complemented
45C47×#554—21no—
46C47×#554C2211yescharacteristic, complemented
47C47×#553—21no—
48C47×#553C2211yescharacteristic, complemented
49C47×#552C2211yescharacteristic, complemented
50D4×Q8×C47C2211yescharacteristic, complemented
51C47×#548C2211yescharacteristic, complemented
52C47×#548C2211yescharacteristic, complemented
53C47×#547C2211yescharacteristic, complemented
54C47×#546—21no—
55C47×#546—21no—
56C47×#546C2211yescharacteristic
57C47×#546C2211yescharacteristic
58C47×#546C2211yescharacteristic
59C47×#546C2211yescharacteristic
60D42×C47—21no—
61D42×C47—21no—
62D42×C47C2211yescharacteristic
63D42×C47C2211yescharacteristic
64D42×C47C2211yescharacteristic
65D42×C47C2211yescharacteristic
66C47×#542—21no—
67C47×#542C2211yescharacteristic, complemented
68C47×#541C2211yescharacteristic, complemented
69C47×#539—21no—
70C47×#538—21no—
71C47×#538—21no—
72C47×#537C2211yescharacteristic, complemented
73C47×#536C2211yescharacteristic, complemented
74C47×#535C2211yescharacteristic
75C47×#535C2211yescharacteristic
76C47×#534—21no—
77C47×#534—21no—
78C47×#525C2211yescharacteristic
79C47×#525C2211yescharacteristic
80C47×#525C2211yescharacteristic, complemented
81C2×C22⋊Q8×C47C2211yescharacteristic, complemented
82C2×#120×C47—21no—
83C2×#120×C47—21no—
84C47×#518C2211yescharacteristic
85C47×#497C2211yescharacteristic, complemented
86C47×#496C2211yescharacteristic, complemented
87C47×#495C2211yescharacteristic, complemented
88C47×#492C2211yescharacteristic, complemented
89C47×#490C2211yescharacteristic, complemented
90C47×#489C2211yescharacteristic, complemented
91C47×#488C2211yescharacteristic, complemented
92C47×#486C2211yescharacteristic, complemented
93C47×#485C2211yescharacteristic, complemented
94C47×#485C2211yescharacteristic, complemented
95C47×#485C2211yescharacteristic, complemented
96C47×#485C2211yescharacteristic, complemented
97C47×#484C2211yescharacteristic, complemented
98C47×#482C2211yescharacteristic, complemented
99C47×#482C2211yescharacteristic, complemented
100C47×#482C2211yescharacteristic, complemented
101C47×#482C2211yescharacteristic, complemented
102C47×#481C2211yescharacteristic, complemented
103C47×#481C2211yescharacteristic, complemented
104C47×#480C2211yescharacteristic, complemented
105C47×#478C2211yescharacteristic, complemented
106C47×#478C2211yescharacteristic, complemented
107C47×#476C2211yescharacteristic, complemented
108C47×#474C2211yescharacteristic, complemented
109C47×#470C2211yescharacteristic, complemented
110C47×#470C2211yescharacteristic, complemented
111C47×#469C2211yescharacteristic, complemented
112C47×#468C2211yescharacteristic, complemented
113C47×#468C2211yescharacteristic, complemented
114C47×#468C2211yescharacteristic, complemented
115C47×#468C2211yescharacteristic, complemented
116C47×#468C2211yescharacteristic, complemented
117C47×#467C2211yescharacteristic, complemented
118C47×#466C2211yescharacteristic, complemented
119C47×#466C2211yescharacteristic, complemented
120C47×#465C2211yescharacteristic, complemented
121C47×#465C2211yescharacteristic, complemented
122C47×#465C2211yescharacteristic, complemented
123C47×#465C2211yescharacteristic, complemented
124C47×#465C2211yescharacteristic, complemented
125C47×#464C2211yescharacteristic, complemented
126C47×#464C2211yescharacteristic, complemented
127C47×#464C2211yescharacteristic, complemented
128C47×#463C2211yescharacteristic, complemented
129C47×#463C2211yescharacteristic, complemented
130C47×#463C2211yescharacteristic, complemented
131C47×#461C2211yescharacteristic, complemented
132C47×#461C2211yescharacteristic, complemented
133C47×#460C2211yescharacteristic, complemented
134C47×#460C2211yescharacteristic, complemented
135C47×#460C2211yescharacteristic, complemented
136C47×#459C2211yescharacteristic, complemented
137C47×#452C2211yescharacteristic, complemented
138C47×#452C2211yescharacteristic, complemented
139C47×#452C2211yescharacteristic, complemented
140C47×#452C2211yescharacteristic, complemented
141C47×#452C2211yescharacteristic, complemented
142C47×#452C2211yescharacteristic, complemented
143C47×#452C2211yescharacteristic, complemented
144C47×#451C2211yescharacteristic, complemented
145C47×#450C2211yescharacteristic
146C47×#450C2211yescharacteristic
147C47×#450C2211yescharacteristic
148C47×#450C2211yescharacteristic, complemented
149C47×#450C2211yescharacteristic, complemented
150C47×#450C2211yescharacteristic, complemented
151C47×#450C2211yescharacteristic, complemented
152C47×#450C2211yescharacteristic, complemented
153C47×#450C2211yescharacteristic, complemented
154C47×#450C2211yescharacteristic, complemented
155C47×#450C2211yescharacteristic, complemented
156C47×#450C2211yescharacteristic, complemented
157C47×#450C2211yescharacteristic, complemented
158C47×#450C2211yescharacteristic, complemented
159C47×#450C2211yescharacteristic, complemented
160C47×#449C2211yescharacteristic, complemented
161C47×#449C2211yescharacteristic, complemented
162C47×#449C2211yescharacteristic, complemented
163C47×#449C2211yescharacteristic, complemented
164C47×#449C2211yescharacteristic, complemented
165C47×#448C2211yescharacteristic, complemented
166C47×#448C2211yescharacteristic, complemented
167C47×#448C2211yescharacteristic, complemented
168C47×#447C2211yescharacteristic
169C47×#447C2211yescharacteristic, complemented
170C47×#447C2211yescharacteristic, complemented
171C47×#447C2211yescharacteristic, complemented
172C47×#447C2211yescharacteristic, complemented
173C47×#442C2211yescharacteristic, complemented
174C47×#440C2211yescharacteristic, complemented
175C47×#440C2211yescharacteristic, complemented
176C47×#440C2211yescharacteristic, complemented
177C4×SD16×C47C2211yescharacteristic, complemented
178C4×SD16×C47C2211yescharacteristic, complemented
179C4×SD16×C47C2211yescharacteristic, complemented
180C4×D8×C47C2211yescharacteristic, complemented
181C47×#436C2211yescharacteristic, complemented
182C47×#436C2211yescharacteristic, complemented
183C47×#435C2211yescharacteristic, complemented
184C47×#435C2211yescharacteristic, complemented
185C47×#435C2211yescharacteristic, complemented
186C47×#435C2211yescharacteristic, complemented
187C8×D4×C47C2211yescharacteristic, complemented
188C8×D4×C47C2211yescharacteristic, complemented
189C47×#433C2211yescharacteristic, complemented
190C47×#433C2211yescharacteristic, complemented
191C47×#418C2211yescharacteristic, complemented
192C47×#418C2211yescharacteristic, complemented
193C47×#418C2211yescharacteristic, complemented
194C47×#417C2211yescharacteristic, complemented
195C47×#416C2211yescharacteristic, complemented
196C2×#102×C47C2211yescharacteristic, complemented
197C2×#102×C47C2211yescharacteristic, complemented
198C2×#102×C47C2211yescharacteristic, complemented
199C47×#408C2211yescharacteristic, complemented
200C47×#408C2211yescharacteristic, complemented
201C47×#407C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203C25×C47—21no—
204H(5,𝔽2)×C47—42no—
205H(5,𝔽2)×C47—42no—
206C2×#41×C47—21no—
207C2×#41×C47C2311yescharacteristic
208C2×#41×C47C2311yescharacteristic
209C2×#41×C47C2311yescharacteristic
210C2×#41×C47C2311yescharacteristic
211C2×#41×C47C2311yescharacteristic
212C2×#41×C47C2311yescharacteristic, complemented
213C22×Q8×C47C2311yescharacteristic
214C22×Q8×C47C2311yescharacteristic, complemented
215C22×D4×C47—21no—
216C22×D4×C47—21no—
217C22×D4×C47—21no—
218C22×D4×C47—21no—
219C22×D4×C47—21no—
220C22×D4×C47—21no—
221C22×D4×C47—21no—
222C22×D4×C47—21no—
223C22×D4×C47—21no—
224C22×D4×C47—21no—
225C22×D4×C47—42no—
226C22×D4×C47—42no—
227C22×D4×C47C2311yescharacteristic
228C22×D4×C47C2311yescharacteristic
229C22×D4×C47C2311yescharacteristic
230C22×D4×C47C2311yescharacteristic
231C22×D4×C47C2311yescharacteristic
232C22×D4×C47C2311yescharacteristic
233C22×D4×C47C2311yescharacteristic
234C22×D4×C47C2311yescharacteristic
235C23×C4×C47C2311yescharacteristic
236#137×C47—42no—
237AGL(1,ℤ/8)×C47—42no—
238AGL(1,ℤ/8)×C47—42no—
239AGL(1,ℤ/8)×C47—42no—
240#135×C47—42no—
241C2×Q16×C47C2311yescharacteristic, complemented
242C2×Q16×C47C2311yescharacteristic, complemented
243C2×Q16×C47C2311yescharacteristic, complemented
244C2×SD16×C47—42no—
245C2×SD16×C47—42no—
246C2×SD16×C47—42no—
247C2×SD16×C47C2311yescharacteristic
248C2×SD16×C47C2311yescharacteristic
249C2×SD16×C47C2311yescharacteristic
250C2×SD16×C47C2311yescharacteristic
251C2×SD16×C47C2311yescharacteristic
252C2×SD16×C47C2311yescharacteristic
253C2×SD16×C47C2311yescharacteristic
254C2×SD16×C47C2311yescharacteristic
255C2×SD16×C47C2311yescharacteristic
256C2×SD16×C47C2311yescharacteristic
257C2×SD16×C47C2311yescharacteristic
258C2×SD16×C47C2311yescharacteristic
259C2×SD16×C47C2311yescharacteristic, complemented
260C2×SD16×C47C2311yescharacteristic, complemented
261C2×SD16×C47C2311yescharacteristic, complemented
262C2×SD16×C47C2311yescharacteristic, complemented
263C2×D8×C47C2311yescharacteristic
264C2×D8×C47C2311yescharacteristic
265C2×D8×C47C2311yescharacteristic
266C2×D8×C47C2311yescharacteristic
267C2×D8×C47C2311yescharacteristic, complemented
268C2×M16×C47C2311yescharacteristic
269C2×M16×C47C2311yescharacteristic
270C2×M16×C47C2311yescharacteristic, complemented
271C2×M16×C47C2311yescharacteristic, complemented
272C22×C8×C47C2311yescharacteristic
273C22×C8×C47C2311yescharacteristic
274C22×C8×C47C2311yescharacteristic, complemented
275C22×C8×C47C2311yescharacteristic, complemented
276C4⋊Q8×C47—21no—
277C4⋊Q8×C47—21no—
278C4⋊Q8×C47C2311yescharacteristic, complemented
279C4⋊Q8×C47C2311yescharacteristic, complemented
280#127×C47—21no—
281#127×C47C2311yescharacteristic
282#127×C47C2311yescharacteristic
283#126×C47—21no—
284#126×C47—21no—
285#126×C47—21no—
286#126×C47—21no—
287#126×C47—21no—
288#126×C47—21no—
289#126×C47—21no—
290#125×C47—21no—
291#125×C47—21no—
292#125×C47—21no—
293#125×C47—21no—
294#125×C47C2311yescharacteristic, complemented
295#124×C47—21no—
296#124×C47—21no—
297#124×C47—21no—
298#124×C47—21no—
299#124×C47—21no—
300#124×C47—21no—
301#124×C47C2311yescharacteristic
302#124×C47C2311yescharacteristic
303#124×C47C2311yescharacteristic, complemented
304#123×C47—21no—
305#123×C47—21no—
306#123×C47—21no—
307#123×C47—21no—
308#123×C47—21no—
309#123×C47—21no—
310#123×C47—21no—
311#123×C47—21no—
312#123×C47—21no—
313#123×C47—21no—
314#123×C47—21no—
315#123×C47—21no—
316#123×C47—21no—
317#123×C47D411yescharacteristic
318#123×C47D411yescharacteristic
319C22⋊Q8×C47—21no—
320C22⋊Q8×C47—21no—
321C22⋊Q8×C47—21no—
322C22⋊Q8×C47—21no—
323C22⋊Q8×C47—21no—
324C22⋊Q8×C47—21no—
325C22⋊Q8×C47—21no—
326C22⋊Q8×C47—21no—
327C22⋊Q8×C47—21no—
328C22⋊Q8×C47—21no—
329C22⋊Q8×C47D411yescharacteristic
330C22⋊Q8×C47D411yescharacteristic
331C22⋊Q8×C47C2311yescharacteristic
332C22⋊Q8×C47C2311yescharacteristic
333C22⋊Q8×C47C2311yescharacteristic
334C22⋊Q8×C47C2311yescharacteristic
335C22⋊Q8×C47C2311yescharacteristic
336C22⋊Q8×C47C2311yescharacteristic
337C22⋊Q8×C47C2311yescharacteristic
338C22⋊Q8×C47C2311yescharacteristic
339C22⋊Q8×C47C2311yescharacteristic, complemented
340C22⋊Q8×C47C2311yescharacteristic, complemented
341C22⋊Q8×C47C2311yescharacteristic, complemented
342#121×C47—21no—
343#121×C47—21no—
344#121×C47—21no—
345#121×C47—21no—
346#121×C47—21no—
347#121×C47—21no—
348#121×C47—21no—
349#121×C47—21no—
350#121×C47—21no—
351#121×C47—21no—
352#121×C47—21no—
353#121×C47—21no—
354#121×C47—21no—
355#121×C47—21no—
356#121×C47—21no—
357#121×C47—21no—
358#121×C47—21no—
359#121×C47D411yescharacteristic
360#121×C47D411yescharacteristic
361#121×C47C2311yescharacteristic
362#121×C47C2311yescharacteristic
363#121×C47C2311yescharacteristic
364#121×C47C2311yescharacteristic
365#121×C47C2311yescharacteristic
366#121×C47C2311yescharacteristic
367#121×C47C2311yescharacteristic
368#121×C47C2311yescharacteristic
369#121×C47C2311yescharacteristic, complemented
370#120×C47—21no—
371#120×C47—21no—
372#120×C47—21no—
373#120×C47—21no—
374#120×C47—21no—
375#120×C47—21no—
376#120×C47—21no—
377#120×C47—21no—
378#120×C47—21no—
379#120×C47—21no—
380#120×C47—21no—
381#120×C47—21no—
382#120×C47—21no—
383#120×C47—21no—
384#120×C47—21no—
385#120×C47—21no—
386#120×C47—21no—
387#120×C47—21no—
388#120×C47D411yescharacteristic
389#120×C47D411yescharacteristic
390C4×Q8×C47—21no—
391C4×Q8×C47C2311yescharacteristic, complemented
392C4×Q8×C47C2311yescharacteristic, complemented
393C4×Q8×C47C2311yescharacteristic, complemented
394C4×D4×C47—21no—
395C4×D4×C47—21no—
396C4×D4×C47—21no—
397C4×D4×C47—21no—
398C4×D4×C47—21no—
399C4×D4×C47—21no—
400C4×D4×C47—21no—
401C4×D4×C47—21no—
402C4×D4×C47—21no—
403C4×D4×C47—21no—
404C4×D4×C47—21no—
405C4×D4×C47C2311yescharacteristic
406C4×D4×C47C2311yescharacteristic
407C4×D4×C47C2311yescharacteristic
408C4×D4×C47C2311yescharacteristic
409C4×D4×C47C2311yescharacteristic
410C4×D4×C47C2311yescharacteristic
411C4×D4×C47C2311yescharacteristic
412C4×D4×C47C2311yescharacteristic
413C4×D4×C47C2311yescharacteristic, complemented
414#117×C47—21no—
415#117×C47C2311yescharacteristic
416#117×C47C2311yescharacteristic
417#117×C47C2311yescharacteristic
418#117×C47C2311yescharacteristic, complemented
419C2×C4⋊C4×C47—21no—
420C2×C4⋊C4×C47—21no—
421C2×C4⋊C4×C47C2311yescharacteristic
422C2×C4⋊C4×C47C2311yescharacteristic, complemented
423C2×C22⋊C4×C47—21no—
424C2×C22⋊C4×C47—21no—
425C2×C22⋊C4×C47—21no—
426C2×C22⋊C4×C47—21no—
427C2×C22⋊C4×C47—21no—
428C2×C22⋊C4×C47—21no—
429C2×C22⋊C4×C47—21no—
430#107×C47C2311yescharacteristic, complemented
431#107×C47C2311yescharacteristic, complemented
432#107×C47C2311yescharacteristic, complemented
433#107×C47C2311yescharacteristic, complemented
434#106×C47C2311yescharacteristic, complemented
435#106×C47C2311yescharacteristic, complemented
436#106×C47C2311yescharacteristic, complemented
437#106×C47C2311yescharacteristic, complemented
438C4⋊C8×C47C2311yescharacteristic, complemented
439C4⋊C8×C47C2311yescharacteristic, complemented
440C4⋊C8×C47C2311yescharacteristic, complemented
441C4⋊C8×C47C2311yescharacteristic, complemented
442#103×C47C2311yescharacteristic, complemented
443#103×C47C2311yescharacteristic, complemented
444#103×C47C2311yescharacteristic, complemented
445#103×C47C2311yescharacteristic, complemented
446#103×C47C2311yescharacteristic, complemented
447#103×C47C2311yescharacteristic, complemented
448#103×C47C2311yescharacteristic, complemented
449#103×C47C2311yescharacteristic, complemented
450#103×C47C2311yescharacteristic, complemented
451#103×C47C2311yescharacteristic, complemented
452#102×C47C2311yescharacteristic
453#102×C47C2311yescharacteristic
454#102×C47C2311yescharacteristic
455#102×C47C2311yescharacteristic
456#102×C47C2311yescharacteristic
457#102×C47C2311yescharacteristic
458#102×C47C2311yescharacteristic
459#102×C47C2311yescharacteristic
460#102×C47C2311yescharacteristic
461#102×C47C2311yescharacteristic
462#102×C47C2311yescharacteristic
463#102×C47C2311yescharacteristic
464#102×C47C2311yescharacteristic
465#102×C47C2311yescharacteristic
466#102×C47C2311yescharacteristic
467#102×C47C2311yescharacteristic
468#102×C47C2311yescharacteristic, complemented
469#102×C47C2311yescharacteristic, complemented
470#102×C47C2311yescharacteristic, complemented
471#102×C47C2311yescharacteristic, complemented
472#102×C47C2311yescharacteristic, complemented
473#102×C47C2311yescharacteristic, complemented
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic, complemented
483C22⋊C8×C47C2311yescharacteristic, complemented
484C22⋊C8×C47C2311yescharacteristic, complemented
485C22⋊C8×C47C2311yescharacteristic, complemented
486#97×C47C2311yescharacteristic, complemented
487#97×C47C2311yescharacteristic, complemented
488C4×C8×C47C2311yescharacteristic, complemented
489C4×C8×C47C2311yescharacteristic, complemented
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C24×C47—21no—
494C24×C47—21no—
495C24×C47—21no—
496C24×C47—21no—
497C24×C47—21no—
498C24×C47—44no—
499C24×C47—82no—
500C24×C47—82no—
501C24×C47C2×D411yescharacteristic
502#41×C47—22no—
503#41×C47—22no—
504#41×C47—41no—
505#41×C47—41no—
506#41×C47—41no—
507#41×C47—41no—
508#41×C47—41no—
509#41×C47—41no—
510#41×C47—41no—
511#41×C47—41no—
512#41×C47—41no—
513#41×C47—41no—
514#41×C47—44no—
515C2×Q8×C47—21no—
516C2×Q8×C47—21no—
517C2×Q8×C47—21no—
518C2×Q8×C47—41no—
519C2×Q8×C47—41no—
520C2×Q8×C47—41no—
521C2×Q8×C47—41no—
522C2×Q8×C47C2×D411yescharacteristic
523C2×Q8×C47C2411yescharacteristic
524C2×Q8×C47C2411yescharacteristic
525C2×Q8×C47C2411yescharacteristic
526C2×Q8×C47C2411yescharacteristic
527C2×D4×C47—22no—
528C2×D4×C47—22no—
529C2×D4×C47—22no—
530C2×D4×C47—22no—
531C2×D4×C47—22no—
532C2×D4×C47—22no—
533C2×D4×C47—22no—
534C2×D4×C47—22no—
535C2×D4×C47—21no—
536C2×D4×C47—21no—
537C2×D4×C47—21no—
538C2×D4×C47—21no—
539C2×D4×C47—21no—
540C2×D4×C47—21no—
541C2×D4×C47—21no—
542C2×D4×C47—21no—
543C2×D4×C47—21no—
544C2×D4×C47—21no—
545C2×D4×C47—21no—
546C2×D4×C47—21no—
547C2×D4×C47—21no—
548C2×D4×C47—21no—
549C2×D4×C47—21no—
550C2×D4×C47—21no—
551C2×D4×C47—21no—
552C2×D4×C47—21no—
553C2×D4×C47—21no—
554C2×D4×C47—21no—
555C2×D4×C47—21no—
556C2×D4×C47—21no—
557C2×D4×C47—21no—
558C2×D4×C47—21no—
559C2×D4×C47—21no—
560C2×D4×C47—21no—
561C2×D4×C47—41no—
562C2×D4×C47—41no—
563C2×D4×C47—41no—
564C2×D4×C47—41no—
565C2×D4×C47—41no—
566C2×D4×C47—41no—
567C2×D4×C47—41no—
568C2×D4×C47—41no—
569C2×D4×C47—44no—
570C2×D4×C47—44no—
571C2×D4×C47—44no—
572C2×D4×C47—44no—
573C2×D4×C47—44no—
574C2×D4×C47—44no—
575C2×D4×C47—82no—
576C2×D4×C47—82no—
577C2×D4×C47—82no—
578C2×D4×C47—82no—
579C2×D4×C47C2×D411yescharacteristic
580C2×D4×C47C2×D411yescharacteristic
581C2×D4×C47C2×D411yescharacteristic
582C2×D4×C47C2×D411yescharacteristic
583C2×D4×C47C2×D411yescharacteristic
584C2×D4×C47C2×D411yescharacteristic
585C2×D4×C47C2×D411yescharacteristic
586C2×D4×C47C2411yescharacteristic
587C2×D4×C47C2411yescharacteristic
588C2×D4×C47C2411yescharacteristic
589C2×D4×C47C2411yescharacteristic
590C2×D4×C47C2411yescharacteristic
591C2×D4×C47C2411yescharacteristic
592C22×C4×C47—21no—
593C22×C4×C47—21no—
594C22×C4×C47—21no—
595C22×C4×C47—21no—
596C22×C4×C47—21no—
597C22×C4×C47—21no—
598C22×C4×C47—21no—
599C22×C4×C47—21no—
600C22×C4×C47—21no—
601C22×C4×C47—21no—
602C22×C4×C47—21no—
603C22×C4×C47—21no—
604C22×C4×C47—21no—
605C22×C4×C47—21no—
606C22×C4×C47—41no—
607C22×C4×C47—41no—
608C22×C4×C47C2×D411yescharacteristic
609C22×C4×C47C2×D411yescharacteristic
610C22×C4×C47C2×D411yescharacteristic
611C22×C4×C47C2411yescharacteristic
612C22×C4×C47C2411yescharacteristic
613C22×C4×C47C2411yescharacteristic
614C22×C4×C47C2411yescharacteristic
615C22×C4×C47C2411yescharacteristic
616Q16×C47—41no—
617Q16×C47—41no—
618Q16×C47—41no—
619SD16×C47—22no—
620SD16×C47—22no—
621SD16×C47—22no—
622SD16×C47—22no—
623SD16×C47—22no—
624SD16×C47—22no—
625SD16×C47—41no—
626SD16×C47—41no—
627SD16×C47—41no—
628SD16×C47—41no—
629SD16×C47—41no—
630SD16×C47—41no—
631SD16×C47—41no—
632SD16×C47—41no—
633SD16×C47—41no—
634SD16×C47—41no—
635D8×C47—22no—
636D8×C47—22no—
637D8×C47—41no—
638D8×C47—41no—
639D8×C47—41no—
640M16×C47—41no—
641M16×C47—41no—
642M16×C47—41no—
643M16×C47—41no—
644C2×C8×C47—41no—
645C2×C8×C47—41no—
646C2×C8×C47—41no—
647C2×C8×C47—41no—
648C2×C8×C47C2411yescharacteristic
649C2×C8×C47C2411yescharacteristic
650C2×C8×C47C2411yescharacteristic
651C2×C8×C47C2411yescharacteristic
652C2×C8×C47C2411yescharacteristic
653C2×C8×C47C2411yescharacteristic
654C2×C8×C47C2411yescharacteristic
655C2×C8×C47C2411yescharacteristic
656C4⋊C4×C47—21no—
657C4⋊C4×C47—21no—
658C4⋊C4×C47—21no—
659C4⋊C4×C47—21no—
660C4⋊C4×C47—21no—
661C4⋊C4×C47—21no—
662C4⋊C4×C47—21no—
663C4⋊C4×C47—21no—
664C4⋊C4×C47—21no—
665C4⋊C4×C47—21no—
666C4⋊C4×C47—21no—
667C4⋊C4×C47—21no—
668C4⋊C4×C47—21no—
669C4⋊C4×C47—21no—
670C4⋊C4×C47—21no—
671C4⋊C4×C47—21no—
672C4⋊C4×C47—21no—
673C4⋊C4×C47—21no—
674C4⋊C4×C47—21no—
675C4⋊C4×C47—21no—
676C4⋊C4×C47—21no—
677C4⋊C4×C47C2×D411yescharacteristic
678C4⋊C4×C47C2×D411yescharacteristic
679C4⋊C4×C47C2×D411yescharacteristic
680C4⋊C4×C47C2×D411yescharacteristic
681C4⋊C4×C47C2×D411yescharacteristic
682C4⋊C4×C47C2×D411yescharacteristic
683C4⋊C4×C47C2411yescharacteristic
684C4⋊C4×C47C2411yescharacteristic
685C4⋊C4×C47C2411yescharacteristic
686C4⋊C4×C47C2411yescharacteristic
687C4⋊C4×C47C2411yescharacteristic
688C4⋊C4×C47C2411yescharacteristic
689C22⋊C4×C47—21no—
690C22⋊C4×C47—21no—
691C22⋊C4×C47—21no—
692C22⋊C4×C47—21no—
693C22⋊C4×C47—21no—
694C22⋊C4×C47—21no—
695C22⋊C4×C47—21no—
696C22⋊C4×C47—21no—
697C22⋊C4×C47—21no—
698C22⋊C4×C47—21no—
699C22⋊C4×C47—21no—
700C22⋊C4×C47—21no—
701C22⋊C4×C47—21no—
702C22⋊C4×C47—21no—
703C22⋊C4×C47—21no—
704C22⋊C4×C47—21no—
705C22⋊C4×C47—21no—
706C22⋊C4×C47—21no—
707C22⋊C4×C47—21no—
708C22⋊C4×C47—21no—
709C22⋊C4×C47—21no—
710C22⋊C4×C47—21no—
711C22⋊C4×C47—21no—
712C22⋊C4×C47—21no—
713C22⋊C4×C47—21no—
714C22⋊C4×C47—21no—
715C22⋊C4×C47—21no—
716C22⋊C4×C47—21no—
717C22⋊C4×C47—21no—
718C22⋊C4×C47—21no—
719C22⋊C4×C47—21no—
720C22⋊C4×C47—21no—
721C22⋊C4×C47—21no—
722C22⋊C4×C47—21no—
723C22⋊C4×C47C2×D411yescharacteristic
724C22⋊C4×C47C2×D411yescharacteristic
725C22⋊C4×C47C2×D411yescharacteristic
726C22⋊C4×C47C2×D411yescharacteristic
727C22⋊C4×C47C2×D411yescharacteristic
728C22⋊C4×C47C2×D411yescharacteristic
729C22⋊C4×C47C2×D411yescharacteristic
730C22⋊C4×C47C2×D411yescharacteristic
731C22⋊C4×C47C2×D411yescharacteristic
732C22⋊C4×C47C2×D411yescharacteristic
733C42×C47—21no—
734C42×C47—21no—
735C42×C47—21no—
736C42×C47—21no—
737C42×C47—21no—
738C42×C47—21no—
739C42×C47C2411yescharacteristic
740C42×C47C2411yescharacteristic
741C23×C47—24no—
742C23×C47—22no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—21no—
747C23×C47—21no—
748C23×C47—21no—
749C23×C47—41no—
750C23×C47—41no—
751C23×C47—42no—
752C23×C47—42no—
753C23×C47—42no—
754C23×C47—42no—
755C23×C47—42no—
756C23×C47—42no—
757C23×C47—42no—
758C23×C47—42no—
759C23×C47—42no—
760C23×C47—42no—
761C23×C47—42no—
762C23×C47—81no—
763C23×C47—81no—
764C23×C47—81no—
765C23×C47—81no—
766C23×C47—81no—
767C23×C47—81no—
768C23×C47—81no—
769C23×C47—81no—
770C23×C47—81no—
771C23×C47—81no—
772C23×C47—81no—
773C23×C47—81no—
774C23×C47—816no—
775C23×C47C22×D411yescharacteristic
776C23×C47C22×D411yescharacteristic
777C23×C47C22×D411yescharacteristic
778C23×C47C22×D411yescharacteristic
779C23×C47C22×D411yescharacteristic
780Q8×C47—21no—
781Q8×C47—21no—
782Q8×C47—21no—
783Q8×C47—21no—
784Q8×C47—21no—
785Q8×C47—21no—
786Q8×C47—21no—
787Q8×C47—21no—
788Q8×C47—41no—
789Q8×C47—81no—
790Q8×C47—81no—
791Q8×C47—81no—
792D4×C47—24no—
793D4×C47—22no—
794D4×C47—22no—
795D4×C47—21no—
796D4×C47—21no—
797D4×C47—21no—
798D4×C47—21no—
799D4×C47—21no—
800D4×C47—21no—
801D4×C47—21no—
802D4×C47—21no—
803D4×C47—21no—
804D4×C47—21no—
805D4×C47—41no—
806D4×C47—41no—
807D4×C47—41no—
808D4×C47—41no—
809D4×C47—41no—
810D4×C47—42no—
811D4×C47—42no—
812D4×C47—42no—
813D4×C47—42no—
814D4×C47—42no—
815D4×C47—42no—
816D4×C47—42no—
817D4×C47—42no—
818D4×C47—42no—
819D4×C47—42no—
820D4×C47—42no—
821D4×C47—42no—
822D4×C47—42no—
823D4×C47—81no—
824D4×C47—81no—
825D4×C47—81no—
826D4×C47—81no—
827D4×C47—81no—
828D4×C47—81no—
829D4×C47—81no—
830D4×C47—81no—
831D4×C47—81no—
832D4×C47—81no—
833D4×C47—81no—
834D4×C47—81no—
835D4×C47H(5,𝔽2)12yes—
836D4×C47H(5,𝔽2)12yes—
837C2×C4×C47—21no—
838C2×C4×C47—21no—
839C2×C4×C47—21no—
840C2×C4×C47—21no—
841C2×C4×C47—21no—
842C2×C4×C47—21no—
843C2×C4×C47—21no—
844C2×C4×C47—21no—
845C2×C4×C47—21no—
846C2×C4×C47—21no—
847C2×C4×C47—21no—
848C2×C4×C47—21no—
849C2×C4×C47—21no—
850C2×C4×C47—21no—
851C2×C4×C47—21no—
852C2×C4×C47—21no—
853C2×C4×C47—21no—
854C2×C4×C47—21no—
855C2×C4×C47—21no—
856C2×C4×C47—21no—
857C2×C4×C47—41no—
858C2×C4×C47—41no—
859C2×C4×C47—41no—
860C2×C4×C47—42no—
861C2×C4×C47—42no—
862C2×C4×C47—42no—
863C2×C4×C47—81no—
864C2×C4×C47—81no—
865C2×C4×C47—81no—
866C2×C4×C47—81no—
867C2×C4×C47—81no—
868C2×C4×C47—81no—
869C2×C4×C47—81no—
870C2×C4×C47—81no—
871C2×C4×C47—81no—
872C2×C4×C47—81no—
873C2×C4×C47—81no—
874C2×C4×C47C22×D411yescharacteristic
875C2×C4×C47C22×D411yescharacteristic
876C2×C4×C47C22×D411yescharacteristic
877C2×C4×C47C22×D411yescharacteristic
878C2×C4×C47C22×D411yescharacteristic
879C2×C4×C47C22×D411yescharacteristic
880C2×C4×C47C22×D411yescharacteristic
881C2×C4×C47C22×D411yescharacteristic
882C2×C4×C47C22×D411yescharacteristic
883C2×C4×C47C2511yescharacteristic
884C8×C47—21no—
885C8×C47—21no—
886C8×C47—21no—
887C8×C47—21no—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892#61610C4711yesmaximal, characteristic, direct product factor, Sylow
893C22×C47—21no—
894C22×C47—21no—
895C22×C47—21no—
896C22×C47—21no—
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—22no—
904C22×C47—22no—
905C22×C47—21no—
906C22×C47—21no—
907C22×C47—21no—
908C22×C47—21no—
909C22×C47—44no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—41no—
913C22×C47—41no—
914C22×C47—41no—
915C22×C47—41no—
916C22×C47—41no—
917C22×C47—41no—
918C22×C47—41no—
919C22×C47—41no—
920C22×C47—41no—
921C22×C47—41no—
922C22×C47—41no—
923C22×C47—41no—
924C22×C47—41no—
925C22×C47—41no—
926C22×C47—84no—
927C22×C47—84no—
928C22×C47—84no—
929C22×C47—84no—
930C22×C47—84no—
931C22×C47—84no—
932C22×C47—162no—
933C22×C47—162no—
934C22×C47#57712yes—
935C22×C47C23×D411yescharacteristic
936C4×C47—21no—
937C4×C47—21no—
938C4×C47—21no—
939C4×C47—21no—
940C4×C47—21no—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47—41no—
950C4×C47—41no—
951C4×C47—41no—
952C4×C47—41no—
953C4×C47—41no—
954C4×C47—41no—
955C4×C47C2×H(5,𝔽2)11yescharacteristic
956C4×C47C2×H(5,𝔽2)11yescharacteristic
957#3541C2×C4711yescharacteristic, complemented
958#3484C2×C4711yescharacteristic, complemented
959#3324C2×C4711yescharacteristic, complemented
960#3323C2×C4711yescharacteristic, complemented
961#3318C2×C4711yescharacteristic, complemented
962#3314C2×C4711yescharacteristic, complemented
963#3311C2×C4711yescharacteristic, complemented
964#3310C2×C4711yescharacteristic, complemented
965#3297C2×C4711yescharacteristic, complemented
966#3295C2×C4711yescharacteristic, complemented
967#3282C2×C4711yescharacteristic, complemented
968D4×SD16C2×C4711yescharacteristic, complemented
969#3275C2×C4711yescharacteristic, complemented
970#3272C2×C4711yescharacteristic, complemented
971#3267C2×C4711yescharacteristic, complemented
972#3266C2×C4711yescharacteristic, complemented
973#3265C2×C4711yescharacteristic, complemented
974#3265C2×C4711yescharacteristic, complemented
975#3224C2×C4711yescharacteristic, complemented
976#3222C2×C4711yescharacteristic, complemented
977#3200C2×C4711yescharacteristic, complemented
978#3198C2×C4711yescharacteristic, complemented
979#3196C2×C4711yescharacteristic, complemented
980#3191C2×C4711yescharacteristic, complemented
981#3123C2×C4711yescharacteristic, complemented
982#3118C2×C4711yescharacteristic, complemented
983#3012C2×C4711yescharacteristic, complemented
984#3009C2×C4711yescharacteristic, complemented
985#3003C2×C4711yescharacteristic, complemented
986C2×#450C2×C4711yescharacteristic, complemented
987#2976C2×C4711yescharacteristic, complemented
988C2×C47—22no—
989C2×C47—41no—
990C2×C47—41no—
991C2×C47—41no—
992C2×C47—41no—
993C2×C47—42no—
994C2×C47—42no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47—81no—
999C2×C47#348411yescharacteristic
1000C2×C47C2×#57711yescharacteristic
1001C2×C47#358511yescharacteristic
1002C2×H(5,𝔽2)C22×C4711yescharacteristic
1003C23×D4C22×C4711yescharacteristic
1004C2×#137C22×C4711yescharacteristic, complemented
1005C2×AGL(1,ℤ/8)C22×C4711yescharacteristic, complemented
1006C2×AGL(1,ℤ/8)C22×C4711yescharacteristic, complemented
1007C2×AGL(1,ℤ/8)C22×C4711yescharacteristic, complemented
1008C2×#135C22×C4711yescharacteristic, complemented
1009C22×SD16C22×C4711yescharacteristic, complemented
1010C22×SD16C22×C4711yescharacteristic, complemented
1011C22×SD16C22×C4711yescharacteristic, complemented
1012#563—21no—
1013#562—21no—
1014#556C22×C4711yescharacteristic, complemented
1015#554—21no—
1016#554C22×C4711yescharacteristic, complemented
1017#553—21no—
1018#553C22×C4711yescharacteristic, complemented
1019#552C22×C4711yescharacteristic, complemented
1020D4×Q8C22×C4711yescharacteristic, complemented
1021#548C22×C4711yescharacteristic, complemented
1022#548C22×C4711yescharacteristic, complemented
1023#547C22×C4711yescharacteristic, complemented
1024#546—21no—
1025#546—21no—
1026#546C22×C4711yescharacteristic
1027#546C22×C4711yescharacteristic
1028#546C22×C4711yescharacteristic
1029#546C22×C4711yescharacteristic
1030D42—21no—
1031D42—21no—
1032D42C22×C4711yescharacteristic
1033D42C22×C4711yescharacteristic
1034D42C22×C4711yescharacteristic
1035D42C22×C4711yescharacteristic
1036#542—21no—
1037#542C22×C4711yescharacteristic, complemented
1038#541C22×C4711yescharacteristic, complemented
1039#539—21no—
1040#538—21no—
1041#538—21no—
1042#537C22×C4711yescharacteristic, complemented
1043#536C22×C4711yescharacteristic, complemented
1044#535C22×C4711yescharacteristic
1045#535C22×C4711yescharacteristic
1046#534—21no—
1047#534—21no—
1048#525C22×C4711yescharacteristic
1049#525C22×C4711yescharacteristic
1050#525C22×C4711yescharacteristic, complemented
1051C2×C22⋊Q8C22×C4711yescharacteristic, complemented
1052C2×#120—21no—
1053C2×#120—21no—
1054#518C22×C4711yescharacteristic
1055#497C22×C4711yescharacteristic, complemented
1056#496C22×C4711yescharacteristic, complemented
1057#495C22×C4711yescharacteristic, complemented
1058#492C22×C4711yescharacteristic, complemented
1059#490C22×C4711yescharacteristic, complemented
1060#489C22×C4711yescharacteristic, complemented
1061#488C22×C4711yescharacteristic, complemented
1062#486C22×C4711yescharacteristic, complemented
1063#485C22×C4711yescharacteristic, complemented
1064#485C22×C4711yescharacteristic, complemented
1065#485C22×C4711yescharacteristic, complemented
1066#485C22×C4711yescharacteristic, complemented
1067#484C22×C4711yescharacteristic, complemented
1068#482C22×C4711yescharacteristic, complemented
1069#482C22×C4711yescharacteristic, complemented
1070#482C22×C4711yescharacteristic, complemented
1071#482C22×C4711yescharacteristic, complemented
1072#481C22×C4711yescharacteristic, complemented
1073#481C22×C4711yescharacteristic, complemented
1074#480C22×C4711yescharacteristic, complemented
1075#478C22×C4711yescharacteristic, complemented
1076#478C22×C4711yescharacteristic, complemented
1077#476C22×C4711yescharacteristic, complemented
1078#474C22×C4711yescharacteristic, complemented
1079#470C22×C4711yescharacteristic, complemented
1080#470C22×C4711yescharacteristic, complemented
1081#469C22×C4711yescharacteristic, complemented
1082#468C22×C4711yescharacteristic, complemented
1083#468C22×C4711yescharacteristic, complemented
1084#468C22×C4711yescharacteristic, complemented
1085#468C22×C4711yescharacteristic, complemented
1086#468C22×C4711yescharacteristic, complemented
1087#467C22×C4711yescharacteristic, complemented
1088#466C22×C4711yescharacteristic, complemented
1089#466C22×C4711yescharacteristic, complemented
1090#465C22×C4711yescharacteristic, complemented
1091#465C22×C4711yescharacteristic, complemented
1092#465C22×C4711yescharacteristic, complemented
1093#465C22×C4711yescharacteristic, complemented
1094#465C22×C4711yescharacteristic, complemented
1095#464C22×C4711yescharacteristic, complemented
1096#464C22×C4711yescharacteristic, complemented
1097#464C22×C4711yescharacteristic, complemented
1098#463C22×C4711yescharacteristic, complemented
1099#463C22×C4711yescharacteristic, complemented
1100#463C22×C4711yescharacteristic, complemented
1101#461C22×C4711yescharacteristic, complemented
1102#461C22×C4711yescharacteristic, complemented
1103#460C22×C4711yescharacteristic, complemented
1104#460C22×C4711yescharacteristic, complemented
1105#460C22×C4711yescharacteristic, complemented
1106#459C22×C4711yescharacteristic, complemented
1107#452C22×C4711yescharacteristic, complemented
1108#452C22×C4711yescharacteristic, complemented
1109#452C22×C4711yescharacteristic, complemented
1110#452C22×C4711yescharacteristic, complemented
1111#452C22×C4711yescharacteristic, complemented
1112#452C22×C4711yescharacteristic, complemented
1113#452C22×C4711yescharacteristic, complemented
1114#451C22×C4711yescharacteristic, complemented
1115#450C22×C4711yescharacteristic
1116#450C22×C4711yescharacteristic
1117#450C22×C4711yescharacteristic
1118#450C22×C4711yescharacteristic, complemented
1119#450C22×C4711yescharacteristic, complemented
1120#450C22×C4711yescharacteristic, complemented
1121#450C22×C4711yescharacteristic, complemented
1122#450C22×C4711yescharacteristic, complemented
1123#450C22×C4711yescharacteristic, complemented
1124#450C22×C4711yescharacteristic, complemented
1125#450C22×C4711yescharacteristic, complemented
1126#450C22×C4711yescharacteristic, complemented
1127#450C22×C4711yescharacteristic, complemented
1128#450C22×C4711yescharacteristic, complemented
1129#450C22×C4711yescharacteristic, complemented
1130#449C22×C4711yescharacteristic, complemented
1131#449C22×C4711yescharacteristic, complemented
1132#449C22×C4711yescharacteristic, complemented
1133#449C22×C4711yescharacteristic, complemented
1134#449C22×C4711yescharacteristic, complemented
1135#448C22×C4711yescharacteristic, complemented
1136#448C22×C4711yescharacteristic, complemented
1137#448C22×C4711yescharacteristic, complemented
1138#447C22×C4711yescharacteristic
1139#447C22×C4711yescharacteristic, complemented
1140#447C22×C4711yescharacteristic, complemented
1141#447C22×C4711yescharacteristic, complemented
1142#447C22×C4711yescharacteristic, complemented
1143#442C22×C4711yescharacteristic, complemented
1144#440C22×C4711yescharacteristic, complemented
1145#440C22×C4711yescharacteristic, complemented
1146#440C22×C4711yescharacteristic, complemented
1147C4×SD16C22×C4711yescharacteristic, complemented
1148C4×SD16C22×C4711yescharacteristic, complemented
1149C4×SD16C22×C4711yescharacteristic, complemented
1150C4×D8C22×C4711yescharacteristic, complemented
1151#436C22×C4711yescharacteristic, complemented
1152#436C22×C4711yescharacteristic, complemented
1153#435C22×C4711yescharacteristic, complemented
1154#435C22×C4711yescharacteristic, complemented
1155#435C22×C4711yescharacteristic, complemented
1156#435C22×C4711yescharacteristic, complemented
1157C8×D4C22×C4711yescharacteristic, complemented
1158C8×D4C22×C4711yescharacteristic, complemented
1159#433C22×C4711yescharacteristic, complemented
1160#433C22×C4711yescharacteristic, complemented
1161#418C22×C4711yescharacteristic, complemented
1162#418C22×C4711yescharacteristic, complemented
1163#418C22×C4711yescharacteristic, complemented
1164#417C22×C4711yescharacteristic, complemented
1165#416C22×C4711yescharacteristic, complemented
1166C2×#102C22×C4711yescharacteristic, complemented
1167C2×#102C22×C4711yescharacteristic, complemented
1168C2×#102C22×C4711yescharacteristic, complemented
1169#408C22×C4711yescharacteristic, complemented
1170#408C22×C4711yescharacteristic, complemented
1171#407C22×C4711yescharacteristic, complemented
1172C2×C22⋊C8C22×C4711yescharacteristic, complemented
1173C47#6161011yescharacteristic, direct product factor, Sylow
1174C25—21no—
1175H(5,𝔽2)—42no—
1176H(5,𝔽2)—42no—
1177C2×#41—21no—
1178C2×#41C23×C4711yescharacteristic
1179C2×#41C23×C4711yescharacteristic
1180C2×#41C23×C4711yescharacteristic
1181C2×#41C23×C4711yescharacteristic
1182C2×#41C23×C4711yescharacteristic
1183C2×#41C23×C4711yescharacteristic, complemented
1184C22×Q8C23×C4711yescharacteristic
1185C22×Q8C23×C4711yescharacteristic, complemented
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—21no—
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—21no—
1194C22×D4—21no—
1195C22×D4—21no—
1196C22×D4—42no—
1197C22×D4—42no—
1198C22×D4C23×C4711yescharacteristic
1199C22×D4C23×C4711yescharacteristic
1200C22×D4C23×C4711yescharacteristic
1201C22×D4C23×C4711yescharacteristic
1202C22×D4C23×C4711yescharacteristic
1203C22×D4C23×C4711yescharacteristic
1204C22×D4C23×C4711yescharacteristic
1205C22×D4C23×C4711yescharacteristic
1206C23×C4C23×C4711yescharacteristic
1207#137—42no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—42no—
1210AGL(1,ℤ/8)—42no—
1211#135—42no—
1212C2×Q16C23×C4711yescharacteristic, complemented
1213C2×Q16C23×C4711yescharacteristic, complemented
1214C2×Q16C23×C4711yescharacteristic, complemented
1215C2×SD16—42no—
1216C2×SD16—42no—
1217C2×SD16—42no—
1218C2×SD16C23×C4711yescharacteristic
1219C2×SD16C23×C4711yescharacteristic
1220C2×SD16C23×C4711yescharacteristic
1221C2×SD16C23×C4711yescharacteristic
1222C2×SD16C23×C4711yescharacteristic
1223C2×SD16C23×C4711yescharacteristic
1224C2×SD16C23×C4711yescharacteristic
1225C2×SD16C23×C4711yescharacteristic
1226C2×SD16C23×C4711yescharacteristic
1227C2×SD16C23×C4711yescharacteristic
1228C2×SD16C23×C4711yescharacteristic
1229C2×SD16C23×C4711yescharacteristic
1230C2×SD16C23×C4711yescharacteristic, complemented
1231C2×SD16C23×C4711yescharacteristic, complemented
1232C2×SD16C23×C4711yescharacteristic, complemented
1233C2×SD16C23×C4711yescharacteristic, complemented
1234C2×D8C23×C4711yescharacteristic
1235C2×D8C23×C4711yescharacteristic
1236C2×D8C23×C4711yescharacteristic
1237C2×D8C23×C4711yescharacteristic
1238C2×D8C23×C4711yescharacteristic, complemented
1239C2×M16C23×C4711yescharacteristic
1240C2×M16C23×C4711yescharacteristic
1241C2×M16C23×C4711yescharacteristic, complemented
1242C2×M16C23×C4711yescharacteristic, complemented
1243C22×C8C23×C4711yescharacteristic
1244C22×C8C23×C4711yescharacteristic
1245C22×C8C23×C4711yescharacteristic, complemented
1246C22×C8C23×C4711yescharacteristic, complemented
1247C4⋊Q8—21no—
1248C4⋊Q8—21no—
1249C4⋊Q8C23×C4711yescharacteristic, complemented
1250C4⋊Q8C23×C4711yescharacteristic, complemented
1251#127—21no—
1252#127C23×C4711yescharacteristic
1253#127C23×C4711yescharacteristic
1254#126—21no—
1255#126—21no—
1256#126—21no—
1257#126—21no—
1258#126—21no—
1259#126—21no—
1260#126—21no—
1261#125—21no—
1262#125—21no—
1263#125—21no—
1264#125—21no—
1265#125C23×C4711yescharacteristic, complemented
1266#124—21no—
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—21no—
1272#124C23×C4711yescharacteristic
1273#124C23×C4711yescharacteristic
1274#124C23×C4711yescharacteristic, complemented
1275#123—21no—
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
1286#123—21no—
1287#123—21no—
1288#123D4×C4711yescharacteristic
1289#123D4×C4711yescharacteristic
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8—21no—
1296C22⋊Q8—21no—
1297C22⋊Q8—21no—
1298C22⋊Q8—21no—
1299C22⋊Q8—21no—
1300C22⋊Q8D4×C4711yescharacteristic
1301C22⋊Q8D4×C4711yescharacteristic
1302C22⋊Q8C23×C4711yescharacteristic
1303C22⋊Q8C23×C4711yescharacteristic
1304C22⋊Q8C23×C4711yescharacteristic
1305C22⋊Q8C23×C4711yescharacteristic
1306C22⋊Q8C23×C4711yescharacteristic
1307C22⋊Q8C23×C4711yescharacteristic
1308C22⋊Q8C23×C4711yescharacteristic
1309C22⋊Q8C23×C4711yescharacteristic
1310C22⋊Q8C23×C4711yescharacteristic, complemented
1311C22⋊Q8C23×C4711yescharacteristic, complemented
1312C22⋊Q8C23×C4711yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121D4×C4711yescharacteristic
1331#121D4×C4711yescharacteristic
1332#121C23×C4711yescharacteristic
1333#121C23×C4711yescharacteristic
1334#121C23×C4711yescharacteristic
1335#121C23×C4711yescharacteristic
1336#121C23×C4711yescharacteristic
1337#121C23×C4711yescharacteristic
1338#121C23×C4711yescharacteristic
1339#121C23×C4711yescharacteristic
1340#121C23×C4711yescharacteristic, complemented
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120—21no—
1347#120—21no—
1348#120—21no—
1349#120—21no—
1350#120—21no—
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120D4×C4711yescharacteristic
1360#120D4×C4711yescharacteristic
1361C4×Q8—21no—
1362C4×Q8C23×C4711yescharacteristic, complemented
1363C4×Q8C23×C4711yescharacteristic, complemented
1364C4×Q8C23×C4711yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4—21no—
1368C4×D4—21no—
1369C4×D4—21no—
1370C4×D4—21no—
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4C23×C4711yescharacteristic
1377C4×D4C23×C4711yescharacteristic
1378C4×D4C23×C4711yescharacteristic
1379C4×D4C23×C4711yescharacteristic
1380C4×D4C23×C4711yescharacteristic
1381C4×D4C23×C4711yescharacteristic
1382C4×D4C23×C4711yescharacteristic
1383C4×D4C23×C4711yescharacteristic
1384C4×D4C23×C4711yescharacteristic, complemented
1385#117—21no—
1386#117C23×C4711yescharacteristic
1387#117C23×C4711yescharacteristic
1388#117C23×C4711yescharacteristic
1389#117C23×C4711yescharacteristic, complemented
1390C2×C4⋊C4—21no—
1391C2×C4⋊C4—21no—
1392C2×C4⋊C4C23×C4711yescharacteristic
1393C2×C4⋊C4C23×C4711yescharacteristic, complemented
1394C2×C22⋊C4—21no—
1395C2×C22⋊C4—21no—
1396C2×C22⋊C4—21no—
1397C2×C22⋊C4—21no—
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—21no—
1400C2×C22⋊C4—21no—
1401#107C23×C4711yescharacteristic, complemented
1402#107C23×C4711yescharacteristic, complemented
1403#107C23×C4711yescharacteristic, complemented
1404#107C23×C4711yescharacteristic, complemented
1405#106C23×C4711yescharacteristic, complemented
1406#106C23×C4711yescharacteristic, complemented
1407#106C23×C4711yescharacteristic, complemented
1408#106C23×C4711yescharacteristic, complemented
1409C4⋊C8C23×C4711yescharacteristic, complemented
1410C4⋊C8C23×C4711yescharacteristic, complemented
1411C4⋊C8C23×C4711yescharacteristic, complemented
1412C4⋊C8C23×C4711yescharacteristic, complemented
1413#103C23×C4711yescharacteristic, complemented
1414#103C23×C4711yescharacteristic, complemented
1415#103C23×C4711yescharacteristic, complemented
1416#103C23×C4711yescharacteristic, complemented
1417#103C23×C4711yescharacteristic, complemented
1418#103C23×C4711yescharacteristic, complemented
1419#103C23×C4711yescharacteristic, complemented
1420#103C23×C4711yescharacteristic, complemented
1421#103C23×C4711yescharacteristic, complemented
1422#103C23×C4711yescharacteristic, complemented
1423#102C23×C4711yescharacteristic
1424#102C23×C4711yescharacteristic
1425#102C23×C4711yescharacteristic
1426#102C23×C4711yescharacteristic
1427#102C23×C4711yescharacteristic
1428#102C23×C4711yescharacteristic
1429#102C23×C4711yescharacteristic
1430#102C23×C4711yescharacteristic
1431#102C23×C4711yescharacteristic
1432#102C23×C4711yescharacteristic
1433#102C23×C4711yescharacteristic
1434#102C23×C4711yescharacteristic
1435#102C23×C4711yescharacteristic
1436#102C23×C4711yescharacteristic
1437#102C23×C4711yescharacteristic
1438#102C23×C4711yescharacteristic
1439#102C23×C4711yescharacteristic, complemented
1440#102C23×C4711yescharacteristic, complemented
1441#102C23×C4711yescharacteristic, complemented
1442#102C23×C4711yescharacteristic, complemented
1443#102C23×C4711yescharacteristic, complemented
1444#102C23×C4711yescharacteristic, complemented
1445C22⋊C8C23×C4711yescharacteristic
1446C22⋊C8C23×C4711yescharacteristic
1447C22⋊C8C23×C4711yescharacteristic
1448C22⋊C8C23×C4711yescharacteristic
1449C22⋊C8C23×C4711yescharacteristic
1450C22⋊C8C23×C4711yescharacteristic
1451C22⋊C8C23×C4711yescharacteristic
1452C22⋊C8C23×C4711yescharacteristic
1453C22⋊C8C23×C4711yescharacteristic, complemented
1454C22⋊C8C23×C4711yescharacteristic, complemented
1455C22⋊C8C23×C4711yescharacteristic, complemented
1456C22⋊C8C23×C4711yescharacteristic, complemented
1457#97C23×C4711yescharacteristic, complemented
1458#97C23×C4711yescharacteristic, complemented
1459C4×C8C23×C4711yescharacteristic, complemented
1460C4×C8C23×C4711yescharacteristic, complemented
1461C24—21no—
1462C24—21no—
1463C24—21no—
1464C24—21no—
1465C24—21no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—44no—
1470C24—82no—
1471C24—82no—
1472C24C2×D4×C4711yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—44no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—21no—
1489C2×Q8—41no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—41no—
1493C2×Q8C2×D4×C4711yescharacteristic
1494C2×Q8C24×C4711yescharacteristic
1495C2×Q8C24×C4711yescharacteristic
1496C2×Q8C24×C4711yescharacteristic
1497C2×Q8C24×C4711yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—41no—
1540C2×D4—44no—
1541C2×D4—44no—
1542C2×D4—44no—
1543C2×D4—44no—
1544C2×D4—44no—
1545C2×D4—44no—
1546C2×D4—82no—
1547C2×D4—82no—
1548C2×D4—82no—
1549C2×D4—82no—
1550C2×D4C2×D4×C4711yescharacteristic
1551C2×D4C2×D4×C4711yescharacteristic
1552C2×D4C2×D4×C4711yescharacteristic
1553C2×D4C2×D4×C4711yescharacteristic
1554C2×D4C2×D4×C4711yescharacteristic
1555C2×D4C2×D4×C4711yescharacteristic
1556C2×D4C2×D4×C4711yescharacteristic
1557C2×D4C24×C4711yescharacteristic
1558C2×D4C24×C4711yescharacteristic
1559C2×D4C24×C4711yescharacteristic
1560C2×D4C24×C4711yescharacteristic
1561C2×D4C24×C4711yescharacteristic
1562C2×D4C24×C4711yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—21no—
1571C22×C4—21no—
1572C22×C4—21no—
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—41no—
1578C22×C4—41no—
1579C22×C4C2×D4×C4711yescharacteristic
1580C22×C4C2×D4×C4711yescharacteristic
1581C22×C4C2×D4×C4711yescharacteristic
1582C22×C4C24×C4711yescharacteristic
1583C22×C4C24×C4711yescharacteristic
1584C22×C4C24×C4711yescharacteristic
1585C22×C4C24×C4711yescharacteristic
1586C22×C4C24×C4711yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—41no—
1590SD16—22no—
1591SD16—22no—
1592SD16—22no—
1593SD16—22no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—41no—
1600SD16—41no—
1601SD16—41no—
1602SD16—41no—
1603SD16—41no—
1604SD16—41no—
1605SD16—41no—
1606D8—22no—
1607D8—22no—
1608D8—41no—
1609D8—41no—
1610D8—41no—
1611M16—41no—
1612M16—41no—
1613M16—41no—
1614M16—41no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8C24×C4711yescharacteristic
1620C2×C8C24×C4711yescharacteristic
1621C2×C8C24×C4711yescharacteristic
1622C2×C8C24×C4711yescharacteristic
1623C2×C8C24×C4711yescharacteristic
1624C2×C8C24×C4711yescharacteristic
1625C2×C8C24×C4711yescharacteristic
1626C2×C8C24×C4711yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4C2×D4×C4711yescharacteristic
1649C4⋊C4C2×D4×C4711yescharacteristic
1650C4⋊C4C2×D4×C4711yescharacteristic
1651C4⋊C4C2×D4×C4711yescharacteristic
1652C4⋊C4C2×D4×C4711yescharacteristic
1653C4⋊C4C2×D4×C4711yescharacteristic
1654C4⋊C4C24×C4711yescharacteristic
1655C4⋊C4C24×C4711yescharacteristic
1656C4⋊C4C24×C4711yescharacteristic
1657C4⋊C4C24×C4711yescharacteristic
1658C4⋊C4C24×C4711yescharacteristic
1659C4⋊C4C24×C4711yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4C2×D4×C4711yescharacteristic
1695C22⋊C4C2×D4×C4711yescharacteristic
1696C22⋊C4C2×D4×C4711yescharacteristic
1697C22⋊C4C2×D4×C4711yescharacteristic
1698C22⋊C4C2×D4×C4711yescharacteristic
1699C22⋊C4C2×D4×C4711yescharacteristic
1700C22⋊C4C2×D4×C4711yescharacteristic
1701C22⋊C4C2×D4×C4711yescharacteristic
1702C22⋊C4C2×D4×C4711yescharacteristic
1703C22⋊C4C2×D4×C4711yescharacteristic
1704C42—21no—
1705C42—21no—
1706C42—21no—
1707C42—21no—
1708C42—21no—
1709C42—21no—
1710C42C24×C4711yescharacteristic
1711C42C24×C4711yescharacteristic
1712C23—24no—
1713C23—22no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—41no—
1721C23—41no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23—816no—
1746C23C22×D4×C4711yescharacteristic
1747C23C22×D4×C4711yescharacteristic
1748C23C22×D4×C4711yescharacteristic
1749C23C22×D4×C4711yescharacteristic
1750C23C22×D4×C4711yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—21no—
1758Q8—21no—
1759Q8—41no—
1760Q8—81no—
1761Q8—81no—
1762Q8—81no—
1763D4—24no—
1764D4—22no—
1765D4—22no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—21no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—41no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4H(5,𝔽2)×C4712yes—
1807D4H(5,𝔽2)×C4712yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4—81no—
1841C2×C4—81no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4C22×D4×C4711yescharacteristic
1846C2×C4C22×D4×C4711yescharacteristic
1847C2×C4C22×D4×C4711yescharacteristic
1848C2×C4C22×D4×C4711yescharacteristic
1849C2×C4C22×D4×C4711yescharacteristic
1850C2×C4C22×D4×C4711yescharacteristic
1851C2×C4C22×D4×C4711yescharacteristic
1852C2×C4C22×D4×C4711yescharacteristic
1853C2×C4C22×D4×C4711yescharacteristic
1854C2×C4C25×C4711yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—21no—
1860C8—21no—
1861C8—21no—
1862C8—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—22no—
1878C22—22no—
1879C22—44no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—84no—
1897C22—84no—
1898C22—84no—
1899C22—84no—
1900C22—84no—
1901C22—84no—
1902C22—162no—
1903C22—162no—
1904C22C47×#57712yes—
1905C22C23×D4×C4711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—21no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4C2×H(5,𝔽2)×C4711yescharacteristic
1926C4C2×H(5,𝔽2)×C4711yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—41no—
1931C2—41no—
1932C2—42no—
1933C2—42no—
1934C2—81no—
1935C2—81no—
1936C2—81no—
1937C2—81no—
1938C2C47×#348411yescharacteristic
1939C2C2×C47×#57711yescharacteristic
1940C2C47×#358511yescharacteristic
subgroupG/H
center, socleC22×C47C23×D4
commutator, Frattini, cosocleC2×C4C25×C47
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C47 ◁ C47×#525 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C47×#3541C2semidirect
2. C47×#3484C2semidirect
3. C47×#3324C2semidirect
4. C47×#3323C2semidirect
5. C47×#3318C2semidirect
6. C47×#3314C2semidirect
7. C47×#3311C2semidirect
8. C47×#3310C2semidirect
9. C47×#3297C2semidirect
10. C47×#3295C2semidirect
11. C47×#3282C2semidirect
12. D4×SD16×C47C2semidirect
13. C47×#3275C2semidirect
14. C47×#3272C2semidirect
15. C47×#3267C2semidirect
16. C47×#3266C2semidirect
17. C47×#3265C2semidirect
18. C47×#3265C2semidirect
19. C47×#3224C2semidirect
20. C47×#3222C2semidirect
21. C47×#3200C2semidirect
22. C47×#3198C2semidirect
23. C47×#3196C2semidirect
24. C47×#3191C2semidirect
25. C47×#3123C2semidirect
26. C47×#3118C2semidirect
27. C47×#3012C2semidirect
28. C47×#3009C2semidirect
29. C47×#3003C2semidirect
30. C2×C47×#450C2semidirect
31. C47×#2976C2semidirect
34. C2×#137×C47C22semidirect
35. C2×AGL(1,ℤ/8)×C47C22semidirect
36. C2×AGL(1,ℤ/8)×C47C22semidirect
37. C2×AGL(1,ℤ/8)×C47C22semidirect
38. C2×#135×C47C22semidirect
39. C22×SD16×C47C22semidirect
40. C22×SD16×C47C22semidirect
41. C22×SD16×C47C22semidirect
44. C47×#556C22semidirect
46. C47×#554C22semidirect
48. C47×#553C22semidirect
49. C47×#552C22semidirect
50. D4×Q8×C47C22semidirect
51. C47×#548C22semidirect
52. C47×#548C22semidirect
53. C47×#547C22semidirect
67. C47×#542C22semidirect
68. C47×#541C22semidirect
72. C47×#537C22semidirect
73. C47×#536C22semidirect
80. C47×#525C22semidirect
81. C2×C22⋊Q8×C47C22semidirect
85. C47×#497C22semidirect
86. C47×#496C22semidirect
87. C47×#495C22semidirect
88. C47×#492C22semidirect
89. C47×#490C22semidirect
90. C47×#489C22semidirect
91. C47×#488C22semidirect
92. C47×#486C22semidirect
93. C47×#485C22semidirect
94. C47×#485C22semidirect
95. C47×#485C22semidirect
96. C47×#485C22semidirect
97. C47×#484C22semidirect
98. C47×#482C22semidirect
99. C47×#482C22semidirect
100. C47×#482C22semidirect
101. C47×#482C22semidirect
102. C47×#481C22semidirect
103. C47×#481C22semidirect
104. C47×#480C22semidirect
105. C47×#478C22semidirect
106. C47×#478C22semidirect
107. C47×#476C22semidirect
108. C47×#474C22semidirect
109. C47×#470C22semidirect
110. C47×#470C22semidirect
111. C47×#469C22semidirect
112. C47×#468C22semidirect
113. C47×#468C22semidirect
114. C47×#468C22semidirect
115. C47×#468C22semidirect
116. C47×#468C22semidirect
117. C47×#467C22semidirect
118. C47×#466C22semidirect
119. C47×#466C22semidirect
120. C47×#465C22semidirect
121. C47×#465C22semidirect
122. C47×#465C22semidirect
123. C47×#465C22semidirect
124. C47×#465C22semidirect
125. C47×#464C22semidirect
126. C47×#464C22semidirect
127. C47×#464C22semidirect
128. C47×#463C22semidirect
129. C47×#463C22semidirect
130. C47×#463C22semidirect
131. C47×#461C22semidirect
132. C47×#461C22semidirect
133. C47×#460C22semidirect
134. C47×#460C22semidirect
135. C47×#460C22semidirect
136. C47×#459C22semidirect
137. C47×#452C22semidirect
138. C47×#452C22semidirect
139. C47×#452C22semidirect
140. C47×#452C22semidirect
141. C47×#452C22semidirect
142. C47×#452C22semidirect
143. C47×#452C22semidirect
144. C47×#451C22semidirect
148. C47×#450C22semidirect
149. C47×#450C22semidirect
150. C47×#450C22semidirect
151. C47×#450C22semidirect
152. C47×#450C22semidirect
153. C47×#450C22semidirect
154. C47×#450C22semidirect
155. C47×#450C22semidirect
156. C47×#450C22semidirect
157. C47×#450C22semidirect
158. C47×#450C22semidirect
159. C47×#450C22semidirect
160. C47×#449C22semidirect
161. C47×#449C22semidirect
162. C47×#449C22semidirect
163. C47×#449C22semidirect
164. C47×#449C22semidirect
165. C47×#448C22semidirect
166. C47×#448C22semidirect
167. C47×#448C22semidirect
169. C47×#447C22semidirect
170. C47×#447C22semidirect
171. C47×#447C22semidirect
172. C47×#447C22semidirect
173. C47×#442C22semidirect
174. C47×#440C22semidirect
175. C47×#440C22semidirect
176. C47×#440C22semidirect
177. C4×SD16×C47C22semidirect
178. C4×SD16×C47C22semidirect
179. C4×SD16×C47C22semidirect
180. C4×D8×C47C22semidirect
181. C47×#436C22semidirect
182. C47×#436C22semidirect
183. C47×#435C22semidirect
184. C47×#435C22semidirect
185. C47×#435C22semidirect
186. C47×#435C22semidirect
187. C8×D4×C47C22semidirect
188. C8×D4×C47C22semidirect
189. C47×#433C22semidirect
190. C47×#433C22semidirect
191. C47×#418C22semidirect
192. C47×#418C22semidirect
193. C47×#418C22semidirect
194. C47×#417C22semidirect
195. C47×#416C22semidirect
196. C2×#102×C47C22semidirect
197. C2×#102×C47C22semidirect
198. C2×#102×C47C22semidirect
199. C47×#408C22semidirect
200. C47×#408C22semidirect
201. C47×#407C22semidirect
202. C2×C22⋊C8×C47C22semidirect
212. C2×#41×C47C23semidirect
214. C22×Q8×C47C23semidirect
241. C2×Q16×C47C23semidirect
242. C2×Q16×C47C23semidirect
243. C2×Q16×C47C23semidirect
259. C2×SD16×C47C23semidirect
260. C2×SD16×C47C23semidirect
261. C2×SD16×C47C23semidirect
262. C2×SD16×C47C23semidirect
267. C2×D8×C47C23semidirect
270. C2×M16×C47C23semidirect
271. C2×M16×C47C23semidirect
274. C22×C8×C47C23semidirect
275. C22×C8×C47C23semidirect
278. C4⋊Q8×C47C23semidirect
279. C4⋊Q8×C47C23semidirect
294. #125×C47C23semidirect
303. #124×C47C23semidirect
339. C22⋊Q8×C47C23semidirect
340. C22⋊Q8×C47C23semidirect
341. C22⋊Q8×C47C23semidirect
369. #121×C47C23semidirect
391. C4×Q8×C47C23semidirect
392. C4×Q8×C47C23semidirect
393. C4×Q8×C47C23semidirect
413. C4×D4×C47C23semidirect
418. #117×C47C23semidirect
422. C2×C4⋊C4×C47C23semidirect
430. #107×C47C23semidirect
431. #107×C47C23semidirect
432. #107×C47C23semidirect
433. #107×C47C23semidirect
434. #106×C47C23semidirect
435. #106×C47C23semidirect
436. #106×C47C23semidirect
437. #106×C47C23semidirect
438. C4⋊C8×C47C23semidirect
439. C4⋊C8×C47C23semidirect
440. C4⋊C8×C47C23semidirect
441. C4⋊C8×C47C23semidirect
442. #103×C47C23semidirect
443. #103×C47C23semidirect
444. #103×C47C23semidirect
445. #103×C47C23semidirect
446. #103×C47C23semidirect
447. #103×C47C23semidirect
448. #103×C47C23semidirect
449. #103×C47C23semidirect
450. #103×C47C23semidirect
451. #103×C47C23semidirect
468. #102×C47C23semidirect
469. #102×C47C23semidirect
470. #102×C47C23semidirect
471. #102×C47C23semidirect
472. #102×C47C23semidirect
473. #102×C47C23semidirect
482. C22⋊C8×C47C23semidirect
483. C22⋊C8×C47C23semidirect
484. C22⋊C8×C47C23semidirect
485. C22⋊C8×C47C23semidirect
486. #97×C47C23semidirect
487. #97×C47C23semidirect
488. C4×C8×C47C23semidirect
489. C4×C8×C47C23semidirect
892. #61610C47direct (N × H)
957. #3541C2×C47semidirect
958. #3484C2×C47semidirect
959. #3324C2×C47semidirect
960. #3323C2×C47semidirect
961. #3318C2×C47semidirect
962. #3314C2×C47semidirect
963. #3311C2×C47semidirect
964. #3310C2×C47semidirect
965. #3297C2×C47semidirect
966. #3295C2×C47semidirect
967. #3282C2×C47semidirect
968. D4×SD16C2×C47semidirect
969. #3275C2×C47semidirect
970. #3272C2×C47semidirect
971. #3267C2×C47semidirect
972. #3266C2×C47semidirect
973. #3265C2×C47semidirect
974. #3265C2×C47semidirect
975. #3224C2×C47semidirect
976. #3222C2×C47semidirect
977. #3200C2×C47semidirect
978. #3198C2×C47semidirect
979. #3196C2×C47semidirect
980. #3191C2×C47semidirect
981. #3123C2×C47semidirect
982. #3118C2×C47semidirect
983. #3012C2×C47semidirect
984. #3009C2×C47semidirect
985. #3003C2×C47semidirect
986. C2×#450C2×C47semidirect
987. #2976C2×C47semidirect
1004. C2×#137C22×C47semidirect
1005. C2×AGL(1,ℤ/8)C22×C47semidirect
1006. C2×AGL(1,ℤ/8)C22×C47semidirect
1007. C2×AGL(1,ℤ/8)C22×C47semidirect
1008. C2×#135C22×C47semidirect
1009. C22×SD16C22×C47semidirect
1010. C22×SD16C22×C47semidirect
1011. C22×SD16C22×C47semidirect
1014. #556C22×C47semidirect
1016. #554C22×C47semidirect
1018. #553C22×C47semidirect
1019. #552C22×C47semidirect
1020. D4×Q8C22×C47semidirect
1021. #548C22×C47semidirect
1022. #548C22×C47semidirect
1023. #547C22×C47semidirect
1037. #542C22×C47semidirect
1038. #541C22×C47semidirect
1042. #537C22×C47semidirect
1043. #536C22×C47semidirect
1050. #525C22×C47semidirect
1051. C2×C22⋊Q8C22×C47semidirect
1055. #497C22×C47semidirect
1056. #496C22×C47semidirect
1057. #495C22×C47semidirect
1058. #492C22×C47semidirect
1059. #490C22×C47semidirect
1060. #489C22×C47semidirect
1061. #488C22×C47semidirect
1062. #486C22×C47semidirect
1063. #485C22×C47semidirect
1064. #485C22×C47semidirect
1065. #485C22×C47semidirect
1066. #485C22×C47semidirect
1067. #484C22×C47semidirect
1068. #482C22×C47semidirect
1069. #482C22×C47semidirect
1070. #482C22×C47semidirect
1071. #482C22×C47semidirect
1072. #481C22×C47semidirect
1073. #481C22×C47semidirect
1074. #480C22×C47semidirect
1075. #478C22×C47semidirect
1076. #478C22×C47semidirect
1077. #476C22×C47semidirect
1078. #474C22×C47semidirect
1079. #470C22×C47semidirect
1080. #470C22×C47semidirect
1081. #469C22×C47semidirect
1082. #468C22×C47semidirect
1083. #468C22×C47semidirect
1084. #468C22×C47semidirect
1085. #468C22×C47semidirect
1086. #468C22×C47semidirect
1087. #467C22×C47semidirect
1088. #466C22×C47semidirect
1089. #466C22×C47semidirect
1090. #465C22×C47semidirect
1091. #465C22×C47semidirect
1092. #465C22×C47semidirect
1093. #465C22×C47semidirect
1094. #465C22×C47semidirect
1095. #464C22×C47semidirect
1096. #464C22×C47semidirect
1097. #464C22×C47semidirect
1098. #463C22×C47semidirect
1099. #463C22×C47semidirect
1100. #463C22×C47semidirect
1101. #461C22×C47semidirect
1102. #461C22×C47semidirect
1103. #460C22×C47semidirect
1104. #460C22×C47semidirect
1105. #460C22×C47semidirect
1106. #459C22×C47semidirect
1107. #452C22×C47semidirect
1108. #452C22×C47semidirect
1109. #452C22×C47semidirect
1110. #452C22×C47semidirect
1111. #452C22×C47semidirect
1112. #452C22×C47semidirect
1113. #452C22×C47semidirect
1114. #451C22×C47semidirect
1118. #450C22×C47semidirect
1119. #450C22×C47semidirect
1120. #450C22×C47semidirect
1121. #450C22×C47semidirect
1122. #450C22×C47semidirect
1123. #450C22×C47semidirect
1124. #450C22×C47semidirect
1125. #450C22×C47semidirect
1126. #450C22×C47semidirect
1127. #450C22×C47semidirect
1128. #450C22×C47semidirect
1129. #450C22×C47semidirect
1130. #449C22×C47semidirect
1131. #449C22×C47semidirect
1132. #449C22×C47semidirect
1133. #449C22×C47semidirect
1134. #449C22×C47semidirect
1135. #448C22×C47semidirect
1136. #448C22×C47semidirect
1137. #448C22×C47semidirect
1139. #447C22×C47semidirect
1140. #447C22×C47semidirect
1141. #447C22×C47semidirect
1142. #447C22×C47semidirect
1143. #442C22×C47semidirect
1144. #440C22×C47semidirect
1145. #440C22×C47semidirect
1146. #440C22×C47semidirect
1147. C4×SD16C22×C47semidirect
1148. C4×SD16C22×C47semidirect
1149. C4×SD16C22×C47semidirect
1150. C4×D8C22×C47semidirect
1151. #436C22×C47semidirect
1152. #436C22×C47semidirect
1153. #435C22×C47semidirect
1154. #435C22×C47semidirect
1155. #435C22×C47semidirect
1156. #435C22×C47semidirect
1157. C8×D4C22×C47semidirect
1158. C8×D4C22×C47semidirect
1159. #433C22×C47semidirect
1160. #433C22×C47semidirect
1161. #418C22×C47semidirect
1162. #418C22×C47semidirect
1163. #418C22×C47semidirect
1164. #417C22×C47semidirect
1165. #416C22×C47semidirect
1166. C2×#102C22×C47semidirect
1167. C2×#102C22×C47semidirect
1168. C2×#102C22×C47semidirect
1169. #408C22×C47semidirect
1170. #408C22×C47semidirect
1171. #407C22×C47semidirect
1172. C2×C22⋊C8C22×C47semidirect
1173. C47#61610direct (N × H)
1183. C2×#41C23×C47semidirect
1185. C22×Q8C23×C47semidirect
1212. C2×Q16C23×C47semidirect
1213. C2×Q16C23×C47semidirect
1214. C2×Q16C23×C47semidirect
1230. C2×SD16C23×C47semidirect
1231. C2×SD16C23×C47semidirect
1232. C2×SD16C23×C47semidirect
1233. C2×SD16C23×C47semidirect
1238. C2×D8C23×C47semidirect
1241. C2×M16C23×C47semidirect
1242. C2×M16C23×C47semidirect
1245. C22×C8C23×C47semidirect
1246. C22×C8C23×C47semidirect
1249. C4⋊Q8C23×C47semidirect
1250. C4⋊Q8C23×C47semidirect
1265. #125C23×C47semidirect
1274. #124C23×C47semidirect
1310. C22⋊Q8C23×C47semidirect
1311. C22⋊Q8C23×C47semidirect
1312. C22⋊Q8C23×C47semidirect
1340. #121C23×C47semidirect
1362. C4×Q8C23×C47semidirect
1363. C4×Q8C23×C47semidirect
1364. C4×Q8C23×C47semidirect
1384. C4×D4C23×C47semidirect
1389. #117C23×C47semidirect
1393. C2×C4⋊C4C23×C47semidirect
1401. #107C23×C47semidirect
1402. #107C23×C47semidirect
1403. #107C23×C47semidirect
1404. #107C23×C47semidirect
1405. #106C23×C47semidirect
1406. #106C23×C47semidirect
1407. #106C23×C47semidirect
1408. #106C23×C47semidirect
1409. C4⋊C8C23×C47semidirect
1410. C4⋊C8C23×C47semidirect
1411. C4⋊C8C23×C47semidirect
1412. C4⋊C8C23×C47semidirect
1413. #103C23×C47semidirect
1414. #103C23×C47semidirect
1415. #103C23×C47semidirect
1416. #103C23×C47semidirect
1417. #103C23×C47semidirect
1418. #103C23×C47semidirect
1419. #103C23×C47semidirect
1420. #103C23×C47semidirect
1421. #103C23×C47semidirect
1422. #103C23×C47semidirect
1439. #102C23×C47semidirect
1440. #102C23×C47semidirect
1441. #102C23×C47semidirect
1442. #102C23×C47semidirect
1443. #102C23×C47semidirect
1444. #102C23×C47semidirect
1453. C22⋊C8C23×C47semidirect
1454. C22⋊C8C23×C47semidirect
1455. C22⋊C8C23×C47semidirect
1456. C22⋊C8C23×C47semidirect
1457. #97C23×C47semidirect
1458. #97C23×C47semidirect
1459. C4×C8C23×C47semidirect
1460. C4×C8C23×C47semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C47×#35412
C47×#34842
C47×#33242
C47×#33232
C47×#33182
C47×#33142
C47×#33112
C47×#33102
C47×#32972
C47×#32952
C47×#32822
D4×SD16×C472
C47×#32752
C47×#32722
C47×#32672
C47×#32662
C47×#32652
C47×#32242
C47×#32222
C47×#32002
C47×#31982
C47×#31962
C47×#31912
C47×#31232
C47×#31182
C47×#30122
C47×#30092
C47×#30032
C2×C47×#4502
C47×#29762
#6161047