Finite Group Databasebeta

← C47×#61141 #26100839

Subgroups — C47×#61141 #26100839

Order 12032.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3475C211yesmaximal, characteristic, complemented
2D4×#41×C47C211yesmaximal, characteristic, complemented
3C47×#3321C211yesmaximal, characteristic, complemented
4C47×#3320C211yesmaximal, characteristic, complemented
5C47×#3319C211yesmaximal, characteristic, complemented
6C47×#3318C211yesmaximal, characteristic, complemented
7C47×#3317C211yesmaximal, characteristic, complemented
8C47×#3316C211yesmaximal, characteristic, complemented
9C47×#3315C211yesmaximal, characteristic, complemented
10C47×#3314C211yesmaximal, characteristic, complemented
11C47×#3313C211yesmaximal, characteristic, complemented
12C47×#3312C211yesmaximal, characteristic, complemented
13C47×#3311C211yesmaximal, characteristic, complemented
14C47×#3310C211yesmaximal, characteristic, complemented
15C47×#3309C211yesmaximal, characteristic, complemented
16C47×#3308C211yesmaximal, characteristic, complemented
17C47×#3307C211yesmaximal, characteristic, complemented
18C47×#3306C211yesmaximal, characteristic, complemented
19C47×#3135C211yesmaximal, characteristic, complemented
20C47×#3091C211yesmaximal, characteristic, complemented
21C47×#3091C211yesmaximal, characteristic, complemented
22C47×#3076C211yesmaximal, characteristic, complemented
23C47×#3054C211yesmaximal, characteristic, complemented
24C47×#3050C211yesmaximal, characteristic, complemented
25C47×#3035C211yesmaximal, characteristic, complemented
26C47×#3002C211yesmaximal, characteristic, complemented
27C47×#3002C211yesmaximal, characteristic, complemented
28C47×#2943C211yesmaximal, characteristic, complemented
29C2×C47×#435C211yesmaximal, characteristic, complemented
30C47×#2896C211yesmaximal, characteristic, complemented
31C2×C47×#416C211yesmaximal, characteristic, complemented
32C22×#41×C47C2211yescharacteristic
33C22×#41×C47C2211yescharacteristic
34C2×#135×C47C2211yescharacteristic
35C2×#135×C47C2211yescharacteristic, complemented
36C2×#135×C47C2211yescharacteristic, complemented
37C22×M16×C47C2211yescharacteristic, complemented
38C23×C8×C47C2211yescharacteristic, complemented
39C47×#556C2211yescharacteristic, complemented
40C47×#555C2211yescharacteristic, complemented
41C47×#554C2211yescharacteristic, complemented
42C47×#553C2211yescharacteristic
43C47×#553C2211yescharacteristic, complemented
44C47×#552—21no—
45C47×#552C2211yescharacteristic
46C47×#552C2211yescharacteristic, complemented
47C47×#551—21no—
48C47×#551—21no—
49C47×#550C2211yescharacteristic
50D4×Q8×C47C2211yescharacteristic
51C47×#548C2211yescharacteristic
52C47×#548C2211yescharacteristic
53C47×#547—21no—
54C47×#547C2211yescharacteristic
55C47×#547C2211yescharacteristic, complemented
56C47×#546—21no—
57C47×#546—21no—
58C47×#546—21no—
59C47×#546C2211yescharacteristic
60C47×#546C2211yescharacteristic
61D42×C47—21no—
62D42×C47C2211yescharacteristic
63C47×#533C2211yescharacteristic, complemented
64C47×#532—21no—
65C47×#532C2211yescharacteristic
66C47×#529—21no—
67C47×#529—21no—
68C47×#529—21no—
69C47×#525—21no—
70C47×#525—21no—
71C47×#525C2211yescharacteristic
72C47×#525C2211yescharacteristic
73C47×#525C2211yescharacteristic, complemented
74C47×#525C2211yescharacteristic, complemented
75C4×#41×C47—21no—
76C4×#41×C47C2211yescharacteristic
77C4×#41×C47C2211yescharacteristic, complemented
78C2×C4×D4×C47—21no—
79C2×C4×D4×C47C2211yescharacteristic
80C2×#117×C47C2211yescharacteristic, complemented
81C2×#117×C47C2211yescharacteristic, complemented
82C47×#491C2211yescharacteristic, complemented
83C47×#491C2211yescharacteristic, complemented
84C47×#490C2211yescharacteristic, complemented
85C47×#490C2211yescharacteristic, complemented
86C47×#489C2211yescharacteristic, complemented
87C47×#489C2211yescharacteristic, complemented
88C47×#489C2211yescharacteristic, complemented
89C47×#489C2211yescharacteristic, complemented
90C47×#485C2211yescharacteristic, complemented
91C47×#485C2211yescharacteristic, complemented
92C47×#485C2211yescharacteristic, complemented
93C47×#485C2211yescharacteristic, complemented
94C47×#484C2211yescharacteristic, complemented
95C47×#484C2211yescharacteristic, complemented
96C47×#483C2211yescharacteristic, complemented
97C47×#483C2211yescharacteristic, complemented
98C47×#482C2211yescharacteristic, complemented
99C47×#482C2211yescharacteristic, complemented
100C47×#482C2211yescharacteristic, complemented
101C47×#482C2211yescharacteristic, complemented
102C47×#481C2211yescharacteristic, complemented
103C47×#481C2211yescharacteristic, complemented
104C47×#480C2211yescharacteristic, complemented
105C47×#480C2211yescharacteristic, complemented
106C47×#479C2211yescharacteristic, complemented
107C47×#479C2211yescharacteristic, complemented
108C47×#478C2211yescharacteristic, complemented
109C47×#478C2211yescharacteristic, complemented
110C47×#477C2211yescharacteristic, complemented
111C47×#476C2211yescharacteristic, complemented
112C47×#475C2211yescharacteristic, complemented
113C47×#474C2211yescharacteristic, complemented
114C47×#470C2211yescharacteristic, complemented
115C47×#470C2211yescharacteristic, complemented
116C47×#469C2211yescharacteristic, complemented
117C47×#469C2211yescharacteristic, complemented
118C47×#468C2211yescharacteristic, complemented
119C47×#468C2211yescharacteristic, complemented
120C47×#468C2211yescharacteristic, complemented
121C47×#468C2211yescharacteristic, complemented
122C47×#467C2211yescharacteristic, complemented
123C47×#467C2211yescharacteristic, complemented
124C47×#466C2211yescharacteristic, complemented
125C47×#466C2211yescharacteristic, complemented
126C47×#465C2211yescharacteristic, complemented
127C47×#465C2211yescharacteristic, complemented
128C47×#465C2211yescharacteristic, complemented
129C47×#465C2211yescharacteristic, complemented
130C47×#464C2211yescharacteristic, complemented
131C47×#464C2211yescharacteristic, complemented
132C47×#463C2211yescharacteristic, complemented
133C47×#463C2211yescharacteristic, complemented
134C47×#462C2211yescharacteristic, complemented
135C47×#461C2211yescharacteristic, complemented
136C47×#460C2211yescharacteristic, complemented
137C47×#459C2211yescharacteristic, complemented
138C47×#452C2211yescharacteristic, complemented
139C47×#452C2211yescharacteristic, complemented
140C47×#452C2211yescharacteristic, complemented
141C47×#452C2211yescharacteristic, complemented
142C47×#451C2211yescharacteristic, complemented
143C47×#451C2211yescharacteristic, complemented
144C47×#450C2211yescharacteristic, complemented
145C47×#450C2211yescharacteristic, complemented
146C47×#449C2211yescharacteristic, complemented
147C47×#449C2211yescharacteristic, complemented
148C47×#449C2211yescharacteristic, complemented
149C47×#449C2211yescharacteristic, complemented
150C47×#448C2211yescharacteristic, complemented
151C47×#448C2211yescharacteristic, complemented
152C47×#447C2211yescharacteristic, complemented
153C47×#447C2211yescharacteristic, complemented
154C47×#442C2211yescharacteristic, complemented
155C47×#442C2211yescharacteristic, complemented
156C47×#441C2211yescharacteristic, complemented
157C47×#441C2211yescharacteristic, complemented
158C47×#440C2211yescharacteristic, complemented
159C47×#440C2211yescharacteristic, complemented
160C47×#440C2211yescharacteristic, complemented
161C47×#440C2211yescharacteristic, complemented
162C47×#435C2211yescharacteristic
163C47×#435C2211yescharacteristic
164C47×#435C2211yescharacteristic, complemented
165C47×#435C2211yescharacteristic, complemented
166C47×#435C2211yescharacteristic, complemented
167C47×#435C2211yescharacteristic, complemented
168C47×#435C2211yescharacteristic, complemented
169C47×#435C2211yescharacteristic, complemented
170C47×#427C2211yescharacteristic, complemented
171C47×#427C2211yescharacteristic, complemented
172C47×#427C2211yescharacteristic, complemented
173C2×C4⋊C8×C47C2211yescharacteristic, complemented
174C47×#419C2211yescharacteristic, complemented
175C47×#419C2211yescharacteristic, complemented
176C47×#418C2211yescharacteristic, complemented
177C47×#418C2211yescharacteristic, complemented
178C47×#417C2211yescharacteristic, complemented
179C47×#417C2211yescharacteristic, complemented
180C47×#417C2211yescharacteristic, complemented
181C47×#417C2211yescharacteristic, complemented
182C47×#416C2211yescharacteristic
183C47×#416C2211yescharacteristic
184C47×#416C2211yescharacteristic
185C47×#416C2211yescharacteristic, complemented
186C47×#416C2211yescharacteristic, complemented
187C47×#416C2211yescharacteristic, complemented
188C47×#416C2211yescharacteristic, complemented
189C47×#416C2211yescharacteristic, complemented
190C47×#416C2211yescharacteristic, complemented
191C47×#416C2211yescharacteristic, complemented
192C47×#416C2211yescharacteristic, complemented
193C47×#416C2211yescharacteristic, complemented
194C47×#416C2211yescharacteristic, complemented
195C47×#416C2211yescharacteristic, complemented
196C2×#103×C47C2211yescharacteristic, complemented
197C2×#103×C47C2211yescharacteristic, complemented
198C2×#102×C47C2211yescharacteristic, complemented
199C2×#102×C47C2211yescharacteristic, complemented
200C2×C22⋊C8×C47C2211yescharacteristic, complemented
201C2×C22⋊C8×C47C2211yescharacteristic, complemented
202C2×#97×C47C2211yescharacteristic, complemented
203C2×#41×C47—21no—
204C2×#41×C47—21no—
205C2×#41×C47—21no—
206C2×#41×C47—21no—
207C2×#41×C47—21no—
208C2×#41×C47—24no—
209C2×#41×C47—24no—
210C2×#41×C47—42no—
211C2×#41×C47—42no—
212C2×#41×C47C2311yescharacteristic
213C2×#41×C47C2311yescharacteristic
214C2×#41×C47C2311yescharacteristic
215C2×#41×C47C2311yescharacteristic
216C2×#41×C47C2311yescharacteristic
217C2×#41×C47C2311yescharacteristic
218C2×#41×C47C2311yescharacteristic
219C2×#41×C47C2311yescharacteristic
220C22×Q8×C47C2311yescharacteristic
221C22×Q8×C47C2311yescharacteristic
222C22×D4×C47—21no—
223C22×D4×C47—21no—
224C22×D4×C47—21no—
225C22×D4×C47D411yescharacteristic
226C22×D4×C47C2311yescharacteristic
227C22×D4×C47C2311yescharacteristic
228C23×C4×C47—21no—
229C23×C4×C47—21no—
230C23×C4×C47C2311yescharacteristic
231C23×C4×C47C2311yescharacteristic
232#135×C47—24no—
233#135×C47—42no—
234#135×C47—42no—
235C2×Q16×C47C2311yescharacteristic
236C2×Q16×C47C2311yescharacteristic
237C2×Q16×C47C2311yescharacteristic
238C2×SD16×C47C2311yescharacteristic
239C2×SD16×C47C2311yescharacteristic
240C2×SD16×C47C2311yescharacteristic
241C2×SD16×C47C2311yescharacteristic
242C2×SD16×C47C2311yescharacteristic
243C2×SD16×C47C2311yescharacteristic
244C2×D8×C47C2311yescharacteristic
245C2×D8×C47C2311yescharacteristic
246C2×D8×C47C2311yescharacteristic
247C2×M16×C47—42no—
248C2×M16×C47C2311yescharacteristic
249C2×M16×C47C2311yescharacteristic
250C2×M16×C47C2311yescharacteristic
251C2×M16×C47C2311yescharacteristic
252C22×C8×C47—42no—
253C22×C8×C47C2311yescharacteristic
254C22×C8×C47C2311yescharacteristic
255C22×C8×C47C2311yescharacteristic
256C22×C8×C47C2311yescharacteristic
257C22×C8×C47C2311yescharacteristic
258C22×C8×C47C2311yescharacteristic
259C22×C8×C47C2311yescharacteristic
260C22×C8×C47C2311yescharacteristic
261C4⋊Q8×C47—21no—
262C4⋊Q8×C47C2311yescharacteristic
263C4⋊Q8×C47C2311yescharacteristic
264C4⋊Q8×C47C2311yescharacteristic
265#127×C47—21no—
266#127×C47C2311yescharacteristic
267#126×C47—21no—
268#126×C47—21no—
269#126×C47—21no—
270#126×C47—21no—
271#126×C47—21no—
272#126×C47—21no—
273#125×C47—21no—
274#125×C47—21no—
275#125×C47—21no—
276#125×C47C2311yescharacteristic
277#125×C47C2311yescharacteristic
278#124×C47—21no—
279#124×C47—21no—
280#124×C47—21no—
281#124×C47—21no—
282#124×C47—21no—
283#124×C47C2311yescharacteristic
284#124×C47C2311yescharacteristic
285#123×C47—21no—
286#123×C47—21no—
287#123×C47—21no—
288#123×C47—21no—
289#123×C47—21no—
290#123×C47—21no—
291#123×C47—21no—
292#123×C47—21no—
293#123×C47—21no—
294#123×C47—21no—
295#123×C47—21no—
296#123×C47—21no—
297#123×C47—21no—
298#123×C47—21no—
299C22⋊Q8×C47—21no—
300C22⋊Q8×C47—21no—
301C22⋊Q8×C47—21no—
302C22⋊Q8×C47—21no—
303C22⋊Q8×C47—21no—
304C22⋊Q8×C47—21no—
305C22⋊Q8×C47—21no—
306C22⋊Q8×C47—21no—
307C22⋊Q8×C47—21no—
308C22⋊Q8×C47C2311yescharacteristic
309C22⋊Q8×C47C2311yescharacteristic
310C22⋊Q8×C47C2311yescharacteristic
311C22⋊Q8×C47C2311yescharacteristic
312C22⋊Q8×C47C2311yescharacteristic
313C22⋊Q8×C47C2311yescharacteristic
314C22⋊Q8×C47C2311yescharacteristic
315C22⋊Q8×C47C2311yescharacteristic
316#121×C47—21no—
317#121×C47—21no—
318#121×C47—21no—
319#121×C47—21no—
320#121×C47—21no—
321#121×C47—21no—
322#121×C47—21no—
323#121×C47—21no—
324#121×C47—21no—
325#121×C47—21no—
326#121×C47—21no—
327#121×C47—21no—
328#121×C47—21no—
329#121×C47C2311yescharacteristic
330#121×C47C2311yescharacteristic
331#121×C47C2311yescharacteristic
332#121×C47C2311yescharacteristic
333#121×C47C2311yescharacteristic
334#121×C47C2311yescharacteristic
335#121×C47C2311yescharacteristic
336#121×C47C2311yescharacteristic
337#120×C47—21no—
338#120×C47—21no—
339#120×C47—21no—
340#120×C47—21no—
341#120×C47—21no—
342#120×C47—21no—
343#120×C47—21no—
344#120×C47—21no—
345C4×Q8×C47—21no—
346C4×Q8×C47—21no—
347C4×Q8×C47—21no—
348C4×Q8×C47C2311yescharacteristic
349C4×Q8×C47C2311yescharacteristic
350C4×Q8×C47C2311yescharacteristic
351C4×Q8×C47C2311yescharacteristic
352C4×D4×C47—21no—
353C4×D4×C47—21no—
354C4×D4×C47—21no—
355C4×D4×C47—21no—
356C4×D4×C47—21no—
357C4×D4×C47—21no—
358C4×D4×C47—21no—
359C4×D4×C47—21no—
360C4×D4×C47—21no—
361C4×D4×C47—21no—
362C4×D4×C47—21no—
363C4×D4×C47—21no—
364C4×D4×C47—21no—
365C4×D4×C47—21no—
366C4×D4×C47—21no—
367C4×D4×C47—21no—
368C4×D4×C47—21no—
369C4×D4×C47—21no—
370C4×D4×C47—21no—
371C4×D4×C47—21no—
372C4×D4×C47—21no—
373C4×D4×C47D411yescharacteristic
374C4×D4×C47D411yescharacteristic
375C4×D4×C47D411yescharacteristic
376C4×D4×C47D411yescharacteristic
377C4×D4×C47C2311yescharacteristic
378C4×D4×C47C2311yescharacteristic
379C4×D4×C47C2311yescharacteristic
380C4×D4×C47C2311yescharacteristic
381C4×D4×C47C2311yescharacteristic
382C4×D4×C47C2311yescharacteristic
383C4×D4×C47C2311yescharacteristic
384C4×D4×C47C2311yescharacteristic
385#117×C47—21no—
386#117×C47—21no—
387#117×C47—21no—
388#117×C47—21no—
389#117×C47—21no—
390#117×C47—21no—
391#117×C47—21no—
392#117×C47—21no—
393#117×C47—21no—
394#117×C47C2311yescharacteristic
395#117×C47C2311yescharacteristic
396#117×C47C2311yescharacteristic
397#117×C47C2311yescharacteristic
398#117×C47C2311yescharacteristic
399#117×C47C2311yescharacteristic
400#117×C47C2311yescharacteristic
401#117×C47C2311yescharacteristic
402C2×C4⋊C4×C47—21no—
403C2×C4⋊C4×C47D411yescharacteristic
404C2×C4⋊C4×C47C2311yescharacteristic
405C2×C4⋊C4×C47C2311yescharacteristic
406C2×C4⋊C4×C47C2311yescharacteristic
407C2×C4⋊C4×C47C2311yescharacteristic
408C2×C22⋊C4×C47—21no—
409C2×C22⋊C4×C47—21no—
410C2×C22⋊C4×C47—21no—
411C2×C22⋊C4×C47—21no—
412C2×C22⋊C4×C47D411yescharacteristic
413C2×C22⋊C4×C47D411yescharacteristic
414C2×C42×C47—21no—
415C2×C42×C47—21no—
416C2×C42×C47—21no—
417C2×C42×C47—21no—
418C2×C42×C47C2311yescharacteristic
419#107×C47C2311yescharacteristic
420#107×C47C2311yescharacteristic
421#107×C47C2311yescharacteristic
422#107×C47C2311yescharacteristic
423#107×C47C2311yescharacteristic
424#107×C47C2311yescharacteristic
425#106×C47C2311yescharacteristic
426#106×C47C2311yescharacteristic
427#106×C47C2311yescharacteristic
428#106×C47C2311yescharacteristic
429#106×C47C2311yescharacteristic
430#106×C47C2311yescharacteristic
431C4⋊C8×C47C2311yescharacteristic
432C4⋊C8×C47C2311yescharacteristic
433C4⋊C8×C47C2311yescharacteristic
434C4⋊C8×C47C2311yescharacteristic
435#103×C47C2311yescharacteristic
436#103×C47C2311yescharacteristic
437#103×C47C2311yescharacteristic
438#103×C47C2311yescharacteristic
439#103×C47C2311yescharacteristic
440#103×C47C2311yescharacteristic
441#103×C47C2311yescharacteristic
442#103×C47C2311yescharacteristic
443#103×C47C2311yescharacteristic
444#103×C47C2311yescharacteristic
445#103×C47C2311yescharacteristic
446#103×C47C2311yescharacteristic
447#103×C47C2311yescharacteristic
448#103×C47C2311yescharacteristic
449#103×C47C2311yescharacteristic
450#103×C47C2311yescharacteristic
451#103×C47C2311yescharacteristic
452#103×C47C2311yescharacteristic
453#103×C47C2311yescharacteristic
454#103×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
469#102×C47C2311yescharacteristic
470#102×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×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
483#97×C47C2311yescharacteristic
484#97×C47C2311yescharacteristic
485#97×C47C2311yescharacteristic
486#97×C47C2311yescharacteristic
487C24×C47—21no—
488C24×C47—21no—
489C24×C47C2×D411yescharacteristic
490C24×C47C2×D411yescharacteristic
491#41×C47—22no—
492#41×C47—22no—
493#41×C47—22no—
494#41×C47—22no—
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—22no—
500#41×C47—22no—
501#41×C47—22no—
502#41×C47—44no—
503#41×C47—44no—
504#41×C47—41no—
505#41×C47—41no—
506#41×C47—41no—
507#41×C47—41no—
508#41×C47—44no—
509#41×C47—44no—
510#41×C47—44no—
511#41×C47#4114yescomplemented
512C2×Q8×C47—21no—
513C2×Q8×C47—21no—
514C2×Q8×C47—21no—
515C2×Q8×C47—21no—
516C2×Q8×C47—22no—
517C2×Q8×C47—22no—
518C2×Q8×C47—41no—
519C2×Q8×C47—41no—
520C2×Q8×C47C2411yescharacteristic
521C2×Q8×C47C2411yescharacteristic
522C2×Q8×C47C2411yescharacteristic
523C2×Q8×C47C2411yescharacteristic
524C2×D4×C47—21no—
525C2×D4×C47—22no—
526C2×D4×C47—22no—
527C2×D4×C47—21no—
528C2×D4×C47—21no—
529C2×D4×C47—21no—
530C2×D4×C47—21no—
531C2×D4×C47—21no—
532C2×D4×C47—21no—
533C2×D4×C47—21no—
534C2×D4×C47—21no—
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—41no—
547C2×D4×C47—41no—
548C2×D4×C47—42no—
549C2×D4×C47—44no—
550C2×D4×C47—44no—
551C2×D4×C47—44no—
552C2×D4×C47C2×D411yescharacteristic
553C2×D4×C47C2×D411yescharacteristic
554C2×D4×C47C2×D411yescharacteristic
555C2×D4×C47C2×D411yescharacteristic
556C2×D4×C47C2411yescharacteristic
557C2×D4×C47C2411yescharacteristic
558C2×D4×C47C2411yescharacteristic
559C2×D4×C47C2411yescharacteristic
560C22×C4×C47—21no—
561C22×C4×C47—22no—
562C22×C4×C47—22no—
563C22×C4×C47—22no—
564C22×C4×C47—22no—
565C22×C4×C47—21no—
566C22×C4×C47—21no—
567C22×C4×C47—21no—
568C22×C4×C47—21no—
569C22×C4×C47—21no—
570C22×C4×C47—21no—
571C22×C4×C47—21no—
572C22×C4×C47—21no—
573C22×C4×C47—21no—
574C22×C4×C47—21no—
575C22×C4×C47—21no—
576C22×C4×C47—21no—
577C22×C4×C47—21no—
578C22×C4×C47—21no—
579C22×C4×C47—21no—
580C22×C4×C47—21no—
581C22×C4×C47—21no—
582C22×C4×C47—44no—
583C22×C4×C47—44no—
584C22×C4×C47C2×D411yescharacteristic
585C22×C4×C47C2×D411yescharacteristic
586C22×C4×C47C2×D411yescharacteristic
587C22×C4×C47C2×D411yescharacteristic
588C22×C4×C47C2×D411yescharacteristic
589C22×C4×C47C2×D411yescharacteristic
590C22×C4×C47C2×D411yescharacteristic
591C22×C4×C47C2×D411yescharacteristic
592C22×C4×C47C2411yescharacteristic
593C22×C4×C47C2411yescharacteristic
594C22×C4×C47C2411yescharacteristic
595C22×C4×C47C2411yescharacteristic
596C22×C4×C47C2411yescharacteristic
597Q16×C47—22no—
598Q16×C47—41no—
599Q16×C47—41no—
600SD16×C47—22no—
601SD16×C47—22no—
602SD16×C47—41no—
603SD16×C47—41no—
604SD16×C47—41no—
605SD16×C47—41no—
606D8×C47—22no—
607D8×C47—41no—
608D8×C47—41no—
609M16×C47—41no—
610M16×C47—41no—
611M16×C47—41no—
612M16×C47—41no—
613C2×C8×C47—22no—
614C2×C8×C47—22no—
615C2×C8×C47—22no—
616C2×C8×C47—22no—
617C2×C8×C47—41no—
618C2×C8×C47—41no—
619C2×C8×C47—41no—
620C2×C8×C47—41no—
621C2×C8×C47C2411yescharacteristic
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C2×C8×C47C2411yescharacteristic
627C2×C8×C47C2411yescharacteristic
628C2×C8×C47C2411yescharacteristic
629C4⋊C4×C47—21no—
630C4⋊C4×C47—21no—
631C4⋊C4×C47—21no—
632C4⋊C4×C47—21no—
633C4⋊C4×C47—21no—
634C4⋊C4×C47—21no—
635C4⋊C4×C47—21no—
636C4⋊C4×C47—21no—
637C4⋊C4×C47—21no—
638C4⋊C4×C47—21no—
639C4⋊C4×C47—21no—
640C4⋊C4×C47—21no—
641C4⋊C4×C47—21no—
642C4⋊C4×C47—21no—
643C4⋊C4×C47—21no—
644C4⋊C4×C47—21no—
645C4⋊C4×C47—21no—
646C4⋊C4×C47—21no—
647C4⋊C4×C47—21no—
648C4⋊C4×C47—21no—
649C4⋊C4×C47—21no—
650C4⋊C4×C47—21no—
651C4⋊C4×C47—21no—
652C4⋊C4×C47—21no—
653C4⋊C4×C47C2×D411yescharacteristic
654C4⋊C4×C47C2×D411yescharacteristic
655C4⋊C4×C47C2×D411yescharacteristic
656C4⋊C4×C47C2×D411yescharacteristic
657C4⋊C4×C47C2411yescharacteristic
658C4⋊C4×C47C2411yescharacteristic
659C4⋊C4×C47C2411yescharacteristic
660C4⋊C4×C47C2411yescharacteristic
661C4⋊C4×C47C2411yescharacteristic
662C4⋊C4×C47C2411yescharacteristic
663C4⋊C4×C47C2411yescharacteristic
664C4⋊C4×C47C2411yescharacteristic
665C22⋊C4×C47—21no—
666C22⋊C4×C47—21no—
667C22⋊C4×C47—21no—
668C22⋊C4×C47—21no—
669C22⋊C4×C47—21no—
670C22⋊C4×C47—21no—
671C22⋊C4×C47—21no—
672C22⋊C4×C47—21no—
673C22⋊C4×C47—21no—
674C22⋊C4×C47—21no—
675C22⋊C4×C47—21no—
676C22⋊C4×C47—21no—
677C22⋊C4×C47—21no—
678C22⋊C4×C47—21no—
679C22⋊C4×C47—21no—
680C22⋊C4×C47—21no—
681C22⋊C4×C47—21no—
682C22⋊C4×C47—21no—
683C22⋊C4×C47—21no—
684C22⋊C4×C47—21no—
685C22⋊C4×C47—21no—
686C22⋊C4×C47—21no—
687C22⋊C4×C47—21no—
688C22⋊C4×C47—21no—
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×C47C2×D411yescharacteristic
698C22⋊C4×C47C2×D411yescharacteristic
699C22⋊C4×C47C2×D411yescharacteristic
700C22⋊C4×C47C2×D411yescharacteristic
701C22⋊C4×C47C2×D411yescharacteristic
702C22⋊C4×C47C2×D411yescharacteristic
703C22⋊C4×C47C2×D411yescharacteristic
704C22⋊C4×C47C2×D411yescharacteristic
705C42×C47—21no—
706C42×C47—21no—
707C42×C47—21no—
708C42×C47—21no—
709C42×C47—21no—
710C42×C47—21no—
711C42×C47—21no—
712C42×C47—21no—
713C42×C47—21no—
714C42×C47—21no—
715C42×C47—21no—
716C42×C47—21no—
717C42×C47C2×D411yescharacteristic
718C42×C47C2×D411yescharacteristic
719C42×C47C2411yescharacteristic
720C42×C47C2411yescharacteristic
721C23×C47—22no—
722C23×C47—22no—
723C23×C47—21no—
724C23×C47—22no—
725C23×C47—21no—
726C23×C47—21no—
727C23×C47—21no—
728C23×C47—41no—
729C23×C47—41no—
730C23×C47—41no—
731C23×C47—42no—
732C23×C47—42no—
733C23×C47—42no—
734C23×C47—42no—
735C23×C47—81no—
736C23×C47—81no—
737C23×C47C22×D411yescharacteristic
738C23×C47C22×D411yescharacteristic
739C23×C47C22×D411yescharacteristic
740C23×C47C22×D411yescharacteristic
741C23×C47C22×D411yescharacteristic
742Q8×C47—21no—
743Q8×C47—21no—
744Q8×C47—21no—
745Q8×C47—21no—
746Q8×C47—21no—
747Q8×C47—21no—
748Q8×C47—21no—
749Q8×C47—42no—
750Q8×C47—42no—
751Q8×C47—42no—
752Q8×C47—81no—
753Q8×C47C2×#4112yes—
754D4×C47—24no—
755D4×C47—22no—
756D4×C47—22no—
757D4×C47—21no—
758D4×C47—21no—
759D4×C47—21no—
760D4×C47—21no—
761D4×C47—21no—
762D4×C47—21no—
763D4×C47—21no—
764D4×C47—41no—
765D4×C47—41no—
766D4×C47—42no—
767D4×C47—42no—
768D4×C47—42no—
769D4×C47—42no—
770D4×C47—42no—
771D4×C47—42no—
772D4×C47—42no—
773D4×C47—42no—
774D4×C47—42no—
775D4×C47—42no—
776D4×C47—42no—
777D4×C47—42no—
778D4×C47—42no—
779D4×C47—42no—
780D4×C47—81no—
781D4×C47—81no—
782D4×C47—81no—
783D4×C47—81no—
784D4×C47—81no—
785D4×C47C2×#4112yes—
786C2×C4×C47—22no—
787C2×C4×C47—22no—
788C2×C4×C47—21no—
789C2×C4×C47—22no—
790C2×C4×C47—22no—
791C2×C4×C47—22no—
792C2×C4×C47—22no—
793C2×C4×C47—24no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—21no—
805C2×C4×C47—21no—
806C2×C4×C47—21no—
807C2×C4×C47—21no—
808C2×C4×C47—21no—
809C2×C4×C47—21no—
810C2×C4×C47—21no—
811C2×C4×C47—21no—
812C2×C4×C47—21no—
813C2×C4×C47—41no—
814C2×C4×C47—41no—
815C2×C4×C47—42no—
816C2×C4×C47—42no—
817C2×C4×C47—42no—
818C2×C4×C47—42no—
819C2×C4×C47—42no—
820C2×C4×C47—42no—
821C2×C4×C47—42no—
822C2×C4×C47—42no—
823C2×C4×C47—42no—
824C2×C4×C47—42no—
825C2×C4×C47—42no—
826C2×C4×C47—42no—
827C2×C4×C47—42no—
828C2×C4×C47—81no—
829C2×C4×C47—81no—
830C2×C4×C47—81no—
831C2×C4×C47—81no—
832C2×C4×C47C22×D411yescharacteristic
833C2×C4×C47C22×D411yescharacteristic
834C2×C4×C47C22×D411yescharacteristic
835C2×C4×C47C22×D411yescharacteristic
836C2×C4×C47C22×D411yescharacteristic
837C2×C4×C47C22×D411yescharacteristic
838C2×C4×C47C22×D411yescharacteristic
839C2×C4×C47C22×D411yescharacteristic
840C2×C4×C47C22×D411yescharacteristic
841C2×C4×C47C2×#4112yes—
842C2×C4×C47H(5,𝔽2)12yes—
843C2×C4×C47C2511yescharacteristic
844C8×C47—21no—
845C8×C47—21no—
846C8×C47—21no—
847C8×C47—21no—
848C8×C47—21no—
849C8×C47—21no—
850C8×C47—21no—
851C8×C47—21no—
852#61141C4711yesmaximal, characteristic, direct product factor, Sylow
853C22×C47—21no—
854C22×C47—21no—
855C22×C47—21no—
856C22×C47—21no—
857C22×C47—21no—
858C22×C47—21no—
859C22×C47—21no—
860C22×C47—21no—
861C22×C47—21no—
862C22×C47—21no—
863C22×C47—22no—
864C22×C47—21no—
865C22×C47—21no—
866C22×C47—21no—
867C22×C47—44no—
868C22×C47—41no—
869C22×C47—41no—
870C22×C47—41no—
871C22×C47—41no—
872C22×C47—41no—
873C22×C47—41no—
874C22×C47—41no—
875C22×C47—41no—
876C22×C47—41no—
877C22×C47—41no—
878C22×C47—41no—
879C22×C47—82no—
880C22×C47—84no—
881C22×C47—84no—
882C22×C47#54612yes—
883C22×C47#57512yes—
884C22×C47C23×D411yescharacteristic
885C4×C47—21no—
886C4×C47—21no—
887C4×C47—21no—
888C4×C47—21no—
889C4×C47—21no—
890C4×C47—21no—
891C4×C47—22no—
892C4×C47—21no—
893C4×C47—21no—
894C4×C47—41no—
895C4×C47—41no—
896C4×C47—41no—
897C4×C47—41no—
898C4×C47—41no—
899C4×C47—41no—
900C4×C47—41no—
901C4×C47—41no—
902C4×C47—41no—
903C4×C47—41no—
904C4×C47—41no—
905C4×C47#54612yes—
906C4×C47C22×#4111yescharacteristic
907C4×C47C2×H(5,𝔽2)11yescharacteristic
908#3475C2×C4711yescharacteristic, complemented
909D4×#41C2×C4711yescharacteristic, complemented
910#3321C2×C4711yescharacteristic, complemented
911#3320C2×C4711yescharacteristic, complemented
912#3319C2×C4711yescharacteristic, complemented
913#3318C2×C4711yescharacteristic, complemented
914#3317C2×C4711yescharacteristic, complemented
915#3316C2×C4711yescharacteristic, complemented
916#3315C2×C4711yescharacteristic, complemented
917#3314C2×C4711yescharacteristic, complemented
918#3313C2×C4711yescharacteristic, complemented
919#3312C2×C4711yescharacteristic, complemented
920#3311C2×C4711yescharacteristic, complemented
921#3310C2×C4711yescharacteristic, complemented
922#3309C2×C4711yescharacteristic, complemented
923#3308C2×C4711yescharacteristic, complemented
924#3307C2×C4711yescharacteristic, complemented
925#3306C2×C4711yescharacteristic, complemented
926#3135C2×C4711yescharacteristic, complemented
927#3091C2×C4711yescharacteristic, complemented
928#3091C2×C4711yescharacteristic, complemented
929#3076C2×C4711yescharacteristic, complemented
930#3054C2×C4711yescharacteristic, complemented
931#3050C2×C4711yescharacteristic, complemented
932#3035C2×C4711yescharacteristic, complemented
933#3002C2×C4711yescharacteristic, complemented
934#3002C2×C4711yescharacteristic, complemented
935#2943C2×C4711yescharacteristic, complemented
936C2×#435C2×C4711yescharacteristic, complemented
937#2896C2×C4711yescharacteristic, complemented
938C2×#416C2×C4711yescharacteristic, complemented
939C2×C47—22no—
940C2×C47—22no—
941C2×C47—41no—
942C2×C47—41no—
943C2×C47—41no—
944C2×C47—42no—
945C2×C47—81no—
946C2×C47—81no—
947C2×C47—81no—
948C2×C47C2×#54611yescharacteristic
949C2×C47C2×#57511yescharacteristic
950C2×C47#358411yescharacteristic
951C22×#41C22×C4711yescharacteristic
952C22×#41C22×C4711yescharacteristic
953C2×#135C22×C4711yescharacteristic
954C2×#135C22×C4711yescharacteristic, complemented
955C2×#135C22×C4711yescharacteristic, complemented
956C22×M16C22×C4711yescharacteristic, complemented
957C23×C8C22×C4711yescharacteristic, complemented
958#556C22×C4711yescharacteristic, complemented
959#555C22×C4711yescharacteristic, complemented
960#554C22×C4711yescharacteristic, complemented
961#553C22×C4711yescharacteristic
962#553C22×C4711yescharacteristic, complemented
963#552—21no—
964#552C22×C4711yescharacteristic
965#552C22×C4711yescharacteristic, complemented
966#551—21no—
967#551—21no—
968#550C22×C4711yescharacteristic
969D4×Q8C22×C4711yescharacteristic
970#548C22×C4711yescharacteristic
971#548C22×C4711yescharacteristic
972#547—21no—
973#547C22×C4711yescharacteristic
974#547C22×C4711yescharacteristic, complemented
975#546—21no—
976#546—21no—
977#546—21no—
978#546C22×C4711yescharacteristic
979#546C22×C4711yescharacteristic
980D42—21no—
981D42C22×C4711yescharacteristic
982#533C22×C4711yescharacteristic, complemented
983#532—21no—
984#532C22×C4711yescharacteristic
985#529—21no—
986#529—21no—
987#529—21no—
988#525—21no—
989#525—21no—
990#525C22×C4711yescharacteristic
991#525C22×C4711yescharacteristic
992#525C22×C4711yescharacteristic, complemented
993#525C22×C4711yescharacteristic, complemented
994C4×#41—21no—
995C4×#41C22×C4711yescharacteristic
996C4×#41C22×C4711yescharacteristic, complemented
997C2×C4×D4—21no—
998C2×C4×D4C22×C4711yescharacteristic
999C2×#117C22×C4711yescharacteristic, complemented
1000C2×#117C22×C4711yescharacteristic, complemented
1001#491C22×C4711yescharacteristic, complemented
1002#491C22×C4711yescharacteristic, complemented
1003#490C22×C4711yescharacteristic, complemented
1004#490C22×C4711yescharacteristic, complemented
1005#489C22×C4711yescharacteristic, complemented
1006#489C22×C4711yescharacteristic, complemented
1007#489C22×C4711yescharacteristic, complemented
1008#489C22×C4711yescharacteristic, complemented
1009#485C22×C4711yescharacteristic, complemented
1010#485C22×C4711yescharacteristic, complemented
1011#485C22×C4711yescharacteristic, complemented
1012#485C22×C4711yescharacteristic, complemented
1013#484C22×C4711yescharacteristic, complemented
1014#484C22×C4711yescharacteristic, complemented
1015#483C22×C4711yescharacteristic, complemented
1016#483C22×C4711yescharacteristic, complemented
1017#482C22×C4711yescharacteristic, complemented
1018#482C22×C4711yescharacteristic, complemented
1019#482C22×C4711yescharacteristic, complemented
1020#482C22×C4711yescharacteristic, complemented
1021#481C22×C4711yescharacteristic, complemented
1022#481C22×C4711yescharacteristic, complemented
1023#480C22×C4711yescharacteristic, complemented
1024#480C22×C4711yescharacteristic, complemented
1025#479C22×C4711yescharacteristic, complemented
1026#479C22×C4711yescharacteristic, complemented
1027#478C22×C4711yescharacteristic, complemented
1028#478C22×C4711yescharacteristic, complemented
1029#477C22×C4711yescharacteristic, complemented
1030#476C22×C4711yescharacteristic, complemented
1031#475C22×C4711yescharacteristic, complemented
1032#474C22×C4711yescharacteristic, complemented
1033#470C22×C4711yescharacteristic, complemented
1034#470C22×C4711yescharacteristic, complemented
1035#469C22×C4711yescharacteristic, complemented
1036#469C22×C4711yescharacteristic, complemented
1037#468C22×C4711yescharacteristic, complemented
1038#468C22×C4711yescharacteristic, complemented
1039#468C22×C4711yescharacteristic, complemented
1040#468C22×C4711yescharacteristic, complemented
1041#467C22×C4711yescharacteristic, complemented
1042#467C22×C4711yescharacteristic, complemented
1043#466C22×C4711yescharacteristic, complemented
1044#466C22×C4711yescharacteristic, complemented
1045#465C22×C4711yescharacteristic, complemented
1046#465C22×C4711yescharacteristic, complemented
1047#465C22×C4711yescharacteristic, complemented
1048#465C22×C4711yescharacteristic, complemented
1049#464C22×C4711yescharacteristic, complemented
1050#464C22×C4711yescharacteristic, complemented
1051#463C22×C4711yescharacteristic, complemented
1052#463C22×C4711yescharacteristic, complemented
1053#462C22×C4711yescharacteristic, complemented
1054#461C22×C4711yescharacteristic, complemented
1055#460C22×C4711yescharacteristic, complemented
1056#459C22×C4711yescharacteristic, complemented
1057#452C22×C4711yescharacteristic, complemented
1058#452C22×C4711yescharacteristic, complemented
1059#452C22×C4711yescharacteristic, complemented
1060#452C22×C4711yescharacteristic, complemented
1061#451C22×C4711yescharacteristic, complemented
1062#451C22×C4711yescharacteristic, complemented
1063#450C22×C4711yescharacteristic, complemented
1064#450C22×C4711yescharacteristic, complemented
1065#449C22×C4711yescharacteristic, complemented
1066#449C22×C4711yescharacteristic, complemented
1067#449C22×C4711yescharacteristic, complemented
1068#449C22×C4711yescharacteristic, complemented
1069#448C22×C4711yescharacteristic, complemented
1070#448C22×C4711yescharacteristic, complemented
1071#447C22×C4711yescharacteristic, complemented
1072#447C22×C4711yescharacteristic, complemented
1073#442C22×C4711yescharacteristic, complemented
1074#442C22×C4711yescharacteristic, complemented
1075#441C22×C4711yescharacteristic, complemented
1076#441C22×C4711yescharacteristic, complemented
1077#440C22×C4711yescharacteristic, complemented
1078#440C22×C4711yescharacteristic, complemented
1079#440C22×C4711yescharacteristic, complemented
1080#440C22×C4711yescharacteristic, complemented
1081#435C22×C4711yescharacteristic
1082#435C22×C4711yescharacteristic
1083#435C22×C4711yescharacteristic, complemented
1084#435C22×C4711yescharacteristic, complemented
1085#435C22×C4711yescharacteristic, complemented
1086#435C22×C4711yescharacteristic, complemented
1087#435C22×C4711yescharacteristic, complemented
1088#435C22×C4711yescharacteristic, complemented
1089#427C22×C4711yescharacteristic, complemented
1090#427C22×C4711yescharacteristic, complemented
1091#427C22×C4711yescharacteristic, complemented
1092C2×C4⋊C8C22×C4711yescharacteristic, complemented
1093#419C22×C4711yescharacteristic, complemented
1094#419C22×C4711yescharacteristic, complemented
1095#418C22×C4711yescharacteristic, complemented
1096#418C22×C4711yescharacteristic, complemented
1097#417C22×C4711yescharacteristic, complemented
1098#417C22×C4711yescharacteristic, complemented
1099#417C22×C4711yescharacteristic, complemented
1100#417C22×C4711yescharacteristic, complemented
1101#416C22×C4711yescharacteristic
1102#416C22×C4711yescharacteristic
1103#416C22×C4711yescharacteristic
1104#416C22×C4711yescharacteristic, complemented
1105#416C22×C4711yescharacteristic, complemented
1106#416C22×C4711yescharacteristic, complemented
1107#416C22×C4711yescharacteristic, complemented
1108#416C22×C4711yescharacteristic, complemented
1109#416C22×C4711yescharacteristic, complemented
1110#416C22×C4711yescharacteristic, complemented
1111#416C22×C4711yescharacteristic, complemented
1112#416C22×C4711yescharacteristic, complemented
1113#416C22×C4711yescharacteristic, complemented
1114#416C22×C4711yescharacteristic, complemented
1115C2×#103C22×C4711yescharacteristic, complemented
1116C2×#103C22×C4711yescharacteristic, complemented
1117C2×#102C22×C4711yescharacteristic, complemented
1118C2×#102C22×C4711yescharacteristic, complemented
1119C2×C22⋊C8C22×C4711yescharacteristic, complemented
1120C2×C22⋊C8C22×C4711yescharacteristic, complemented
1121C2×#97C22×C4711yescharacteristic, complemented
1122C47#6114111yescharacteristic, direct product factor, Sylow
1123C2×#41—21no—
1124C2×#41—21no—
1125C2×#41—21no—
1126C2×#41—21no—
1127C2×#41—21no—
1128C2×#41—24no—
1129C2×#41—24no—
1130C2×#41—42no—
1131C2×#41—42no—
1132C2×#41C23×C4711yescharacteristic
1133C2×#41C23×C4711yescharacteristic
1134C2×#41C23×C4711yescharacteristic
1135C2×#41C23×C4711yescharacteristic
1136C2×#41C23×C4711yescharacteristic
1137C2×#41C23×C4711yescharacteristic
1138C2×#41C23×C4711yescharacteristic
1139C2×#41C23×C4711yescharacteristic
1140C22×Q8C23×C4711yescharacteristic
1141C22×Q8C23×C4711yescharacteristic
1142C22×D4—21no—
1143C22×D4—21no—
1144C22×D4—21no—
1145C22×D4D4×C4711yescharacteristic
1146C22×D4C23×C4711yescharacteristic
1147C22×D4C23×C4711yescharacteristic
1148C23×C4—21no—
1149C23×C4—21no—
1150C23×C4C23×C4711yescharacteristic
1151C23×C4C23×C4711yescharacteristic
1152#135—24no—
1153#135—42no—
1154#135—42no—
1155C2×Q16C23×C4711yescharacteristic
1156C2×Q16C23×C4711yescharacteristic
1157C2×Q16C23×C4711yescharacteristic
1158C2×SD16C23×C4711yescharacteristic
1159C2×SD16C23×C4711yescharacteristic
1160C2×SD16C23×C4711yescharacteristic
1161C2×SD16C23×C4711yescharacteristic
1162C2×SD16C23×C4711yescharacteristic
1163C2×SD16C23×C4711yescharacteristic
1164C2×D8C23×C4711yescharacteristic
1165C2×D8C23×C4711yescharacteristic
1166C2×D8C23×C4711yescharacteristic
1167C2×M16—42no—
1168C2×M16C23×C4711yescharacteristic
1169C2×M16C23×C4711yescharacteristic
1170C2×M16C23×C4711yescharacteristic
1171C2×M16C23×C4711yescharacteristic
1172C22×C8—42no—
1173C22×C8C23×C4711yescharacteristic
1174C22×C8C23×C4711yescharacteristic
1175C22×C8C23×C4711yescharacteristic
1176C22×C8C23×C4711yescharacteristic
1177C22×C8C23×C4711yescharacteristic
1178C22×C8C23×C4711yescharacteristic
1179C22×C8C23×C4711yescharacteristic
1180C22×C8C23×C4711yescharacteristic
1181C4⋊Q8—21no—
1182C4⋊Q8C23×C4711yescharacteristic
1183C4⋊Q8C23×C4711yescharacteristic
1184C4⋊Q8C23×C4711yescharacteristic
1185#127—21no—
1186#127C23×C4711yescharacteristic
1187#126—21no—
1188#126—21no—
1189#126—21no—
1190#126—21no—
1191#126—21no—
1192#126—21no—
1193#125—21no—
1194#125—21no—
1195#125—21no—
1196#125C23×C4711yescharacteristic
1197#125C23×C4711yescharacteristic
1198#124—21no—
1199#124—21no—
1200#124—21no—
1201#124—21no—
1202#124—21no—
1203#124C23×C4711yescharacteristic
1204#124C23×C4711yescharacteristic
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—21no—
1214#123—21no—
1215#123—21no—
1216#123—21no—
1217#123—21no—
1218#123—21no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—21no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8—21no—
1227C22⋊Q8—21no—
1228C22⋊Q8C23×C4711yescharacteristic
1229C22⋊Q8C23×C4711yescharacteristic
1230C22⋊Q8C23×C4711yescharacteristic
1231C22⋊Q8C23×C4711yescharacteristic
1232C22⋊Q8C23×C4711yescharacteristic
1233C22⋊Q8C23×C4711yescharacteristic
1234C22⋊Q8C23×C4711yescharacteristic
1235C22⋊Q8C23×C4711yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—21no—
1247#121—21no—
1248#121—21no—
1249#121C23×C4711yescharacteristic
1250#121C23×C4711yescharacteristic
1251#121C23×C4711yescharacteristic
1252#121C23×C4711yescharacteristic
1253#121C23×C4711yescharacteristic
1254#121C23×C4711yescharacteristic
1255#121C23×C4711yescharacteristic
1256#121C23×C4711yescharacteristic
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260#120—21no—
1261#120—21no—
1262#120—21no—
1263#120—21no—
1264#120—21no—
1265C4×Q8—21no—
1266C4×Q8—21no—
1267C4×Q8—21no—
1268C4×Q8C23×C4711yescharacteristic
1269C4×Q8C23×C4711yescharacteristic
1270C4×Q8C23×C4711yescharacteristic
1271C4×Q8C23×C4711yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—21no—
1293C4×D4D4×C4711yescharacteristic
1294C4×D4D4×C4711yescharacteristic
1295C4×D4D4×C4711yescharacteristic
1296C4×D4D4×C4711yescharacteristic
1297C4×D4C23×C4711yescharacteristic
1298C4×D4C23×C4711yescharacteristic
1299C4×D4C23×C4711yescharacteristic
1300C4×D4C23×C4711yescharacteristic
1301C4×D4C23×C4711yescharacteristic
1302C4×D4C23×C4711yescharacteristic
1303C4×D4C23×C4711yescharacteristic
1304C4×D4C23×C4711yescharacteristic
1305#117—21no—
1306#117—21no—
1307#117—21no—
1308#117—21no—
1309#117—21no—
1310#117—21no—
1311#117—21no—
1312#117—21no—
1313#117—21no—
1314#117C23×C4711yescharacteristic
1315#117C23×C4711yescharacteristic
1316#117C23×C4711yescharacteristic
1317#117C23×C4711yescharacteristic
1318#117C23×C4711yescharacteristic
1319#117C23×C4711yescharacteristic
1320#117C23×C4711yescharacteristic
1321#117C23×C4711yescharacteristic
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4D4×C4711yescharacteristic
1324C2×C4⋊C4C23×C4711yescharacteristic
1325C2×C4⋊C4C23×C4711yescharacteristic
1326C2×C4⋊C4C23×C4711yescharacteristic
1327C2×C4⋊C4C23×C4711yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—21no—
1331C2×C22⋊C4—21no—
1332C2×C22⋊C4D4×C4711yescharacteristic
1333C2×C22⋊C4D4×C4711yescharacteristic
1334C2×C42—21no—
1335C2×C42—21no—
1336C2×C42—21no—
1337C2×C42—21no—
1338C2×C42C23×C4711yescharacteristic
1339#107C23×C4711yescharacteristic
1340#107C23×C4711yescharacteristic
1341#107C23×C4711yescharacteristic
1342#107C23×C4711yescharacteristic
1343#107C23×C4711yescharacteristic
1344#107C23×C4711yescharacteristic
1345#106C23×C4711yescharacteristic
1346#106C23×C4711yescharacteristic
1347#106C23×C4711yescharacteristic
1348#106C23×C4711yescharacteristic
1349#106C23×C4711yescharacteristic
1350#106C23×C4711yescharacteristic
1351C4⋊C8C23×C4711yescharacteristic
1352C4⋊C8C23×C4711yescharacteristic
1353C4⋊C8C23×C4711yescharacteristic
1354C4⋊C8C23×C4711yescharacteristic
1355#103C23×C4711yescharacteristic
1356#103C23×C4711yescharacteristic
1357#103C23×C4711yescharacteristic
1358#103C23×C4711yescharacteristic
1359#103C23×C4711yescharacteristic
1360#103C23×C4711yescharacteristic
1361#103C23×C4711yescharacteristic
1362#103C23×C4711yescharacteristic
1363#103C23×C4711yescharacteristic
1364#103C23×C4711yescharacteristic
1365#103C23×C4711yescharacteristic
1366#103C23×C4711yescharacteristic
1367#103C23×C4711yescharacteristic
1368#103C23×C4711yescharacteristic
1369#103C23×C4711yescharacteristic
1370#103C23×C4711yescharacteristic
1371#103C23×C4711yescharacteristic
1372#103C23×C4711yescharacteristic
1373#103C23×C4711yescharacteristic
1374#103C23×C4711yescharacteristic
1375#102C23×C4711yescharacteristic
1376#102C23×C4711yescharacteristic
1377#102C23×C4711yescharacteristic
1378#102C23×C4711yescharacteristic
1379#102C23×C4711yescharacteristic
1380#102C23×C4711yescharacteristic
1381#102C23×C4711yescharacteristic
1382#102C23×C4711yescharacteristic
1383#102C23×C4711yescharacteristic
1384#102C23×C4711yescharacteristic
1385#102C23×C4711yescharacteristic
1386#102C23×C4711yescharacteristic
1387#102C23×C4711yescharacteristic
1388#102C23×C4711yescharacteristic
1389#102C23×C4711yescharacteristic
1390#102C23×C4711yescharacteristic
1391#102C23×C4711yescharacteristic
1392#102C23×C4711yescharacteristic
1393#102C23×C4711yescharacteristic
1394#102C23×C4711yescharacteristic
1395C22⋊C8C23×C4711yescharacteristic
1396C22⋊C8C23×C4711yescharacteristic
1397C22⋊C8C23×C4711yescharacteristic
1398C22⋊C8C23×C4711yescharacteristic
1399C22⋊C8C23×C4711yescharacteristic
1400C22⋊C8C23×C4711yescharacteristic
1401C22⋊C8C23×C4711yescharacteristic
1402C22⋊C8C23×C4711yescharacteristic
1403#97C23×C4711yescharacteristic
1404#97C23×C4711yescharacteristic
1405#97C23×C4711yescharacteristic
1406#97C23×C4711yescharacteristic
1407C24—21no—
1408C24—21no—
1409C24C2×D4×C4711yescharacteristic
1410C24C2×D4×C4711yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—22no—
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—22no—
1422#41—44no—
1423#41—44no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—44no—
1429#41—44no—
1430#41—44no—
1431#41#41×C4714yescomplemented
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—21no—
1435C2×Q8—21no—
1436C2×Q8—22no—
1437C2×Q8—22no—
1438C2×Q8—41no—
1439C2×Q8—41no—
1440C2×Q8C24×C4711yescharacteristic
1441C2×Q8C24×C4711yescharacteristic
1442C2×Q8C24×C4711yescharacteristic
1443C2×Q8C24×C4711yescharacteristic
1444C2×D4—21no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—42no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—44no—
1472C2×D4C2×D4×C4711yescharacteristic
1473C2×D4C2×D4×C4711yescharacteristic
1474C2×D4C2×D4×C4711yescharacteristic
1475C2×D4C2×D4×C4711yescharacteristic
1476C2×D4C24×C4711yescharacteristic
1477C2×D4C24×C4711yescharacteristic
1478C2×D4C24×C4711yescharacteristic
1479C2×D4C24×C4711yescharacteristic
1480C22×C4—21no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4C2×D4×C4711yescharacteristic
1505C22×C4C2×D4×C4711yescharacteristic
1506C22×C4C2×D4×C4711yescharacteristic
1507C22×C4C2×D4×C4711yescharacteristic
1508C22×C4C2×D4×C4711yescharacteristic
1509C22×C4C2×D4×C4711yescharacteristic
1510C22×C4C2×D4×C4711yescharacteristic
1511C22×C4C2×D4×C4711yescharacteristic
1512C22×C4C24×C4711yescharacteristic
1513C22×C4C24×C4711yescharacteristic
1514C22×C4C24×C4711yescharacteristic
1515C22×C4C24×C4711yescharacteristic
1516C22×C4C24×C4711yescharacteristic
1517Q16—22no—
1518Q16—41no—
1519Q16—41no—
1520SD16—22no—
1521SD16—22no—
1522SD16—41no—
1523SD16—41no—
1524SD16—41no—
1525SD16—41no—
1526D8—22no—
1527D8—41no—
1528D8—41no—
1529M16—41no—
1530M16—41no—
1531M16—41no—
1532M16—41no—
1533C2×C8—22no—
1534C2×C8—22no—
1535C2×C8—22no—
1536C2×C8—22no—
1537C2×C8—41no—
1538C2×C8—41no—
1539C2×C8—41no—
1540C2×C8—41no—
1541C2×C8C24×C4711yescharacteristic
1542C2×C8C24×C4711yescharacteristic
1543C2×C8C24×C4711yescharacteristic
1544C2×C8C24×C4711yescharacteristic
1545C2×C8C24×C4711yescharacteristic
1546C2×C8C24×C4711yescharacteristic
1547C2×C8C24×C4711yescharacteristic
1548C2×C8C24×C4711yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4C2×D4×C4711yescharacteristic
1574C4⋊C4C2×D4×C4711yescharacteristic
1575C4⋊C4C2×D4×C4711yescharacteristic
1576C4⋊C4C2×D4×C4711yescharacteristic
1577C4⋊C4C24×C4711yescharacteristic
1578C4⋊C4C24×C4711yescharacteristic
1579C4⋊C4C24×C4711yescharacteristic
1580C4⋊C4C24×C4711yescharacteristic
1581C4⋊C4C24×C4711yescharacteristic
1582C4⋊C4C24×C4711yescharacteristic
1583C4⋊C4C24×C4711yescharacteristic
1584C4⋊C4C24×C4711yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4C2×D4×C4711yescharacteristic
1618C22⋊C4C2×D4×C4711yescharacteristic
1619C22⋊C4C2×D4×C4711yescharacteristic
1620C22⋊C4C2×D4×C4711yescharacteristic
1621C22⋊C4C2×D4×C4711yescharacteristic
1622C22⋊C4C2×D4×C4711yescharacteristic
1623C22⋊C4C2×D4×C4711yescharacteristic
1624C22⋊C4C2×D4×C4711yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—21no—
1630C42—21no—
1631C42—21no—
1632C42—21no—
1633C42—21no—
1634C42—21no—
1635C42—21no—
1636C42—21no—
1637C42C2×D4×C4711yescharacteristic
1638C42C2×D4×C4711yescharacteristic
1639C42C24×C4711yescharacteristic
1640C42C24×C4711yescharacteristic
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—42no—
1652C23—42no—
1653C23—42no—
1654C23—42no—
1655C23—81no—
1656C23—81no—
1657C23C22×D4×C4711yescharacteristic
1658C23C22×D4×C4711yescharacteristic
1659C23C22×D4×C4711yescharacteristic
1660C23C22×D4×C4711yescharacteristic
1661C23C22×D4×C4711yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—42no—
1670Q8—42no—
1671Q8—42no—
1672Q8—81no—
1673Q8C2×#41×C4712yes—
1674D4—24no—
1675D4—22no—
1676D4—22no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—41no—
1685D4—41no—
1686D4—42no—
1687D4—42no—
1688D4—42no—
1689D4—42no—
1690D4—42no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—42no—
1695D4—42no—
1696D4—42no—
1697D4—42no—
1698D4—42no—
1699D4—42no—
1700D4—81no—
1701D4—81no—
1702D4—81no—
1703D4—81no—
1704D4—81no—
1705D4C2×#41×C4712yes—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4C22×D4×C4711yescharacteristic
1753C2×C4C22×D4×C4711yescharacteristic
1754C2×C4C22×D4×C4711yescharacteristic
1755C2×C4C22×D4×C4711yescharacteristic
1756C2×C4C22×D4×C4711yescharacteristic
1757C2×C4C22×D4×C4711yescharacteristic
1758C2×C4C22×D4×C4711yescharacteristic
1759C2×C4C22×D4×C4711yescharacteristic
1760C2×C4C22×D4×C4711yescharacteristic
1761C2×C4C2×#41×C4712yes—
1762C2×C4H(5,𝔽2)×C4712yes—
1763C2×C4C25×C4711yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—22no—
1786C22—44no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—82no—
1799C22—84no—
1800C22—84no—
1801C22C47×#54612yes—
1802C22C47×#57512yes—
1803C22C23×D4×C4711yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—22no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4C47×#54612yes—
1825C4C22×#41×C4711yescharacteristic
1826C4C2×H(5,𝔽2)×C4711yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—42no—
1833C2—81no—
1834C2—81no—
1835C2—81no—
1836C2C2×C47×#54611yescharacteristic
1837C2C2×C47×#57511yescharacteristic
1838C2C47×#358411yescharacteristic
subgroupG/H
centerC2×C4×C47C22×D4
commutator, Frattini, cosocleC2×C4C25×C47
socleC22×C47C23×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C47 ◁ C2×C4×D4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3475C2semidirect
2. D4×#41×C47C2semidirect
3. C47×#3321C2semidirect
4. C47×#3320C2semidirect
5. C47×#3319C2semidirect
6. C47×#3318C2semidirect
7. C47×#3317C2semidirect
8. C47×#3316C2semidirect
9. C47×#3315C2semidirect
10. C47×#3314C2semidirect
11. C47×#3313C2semidirect
12. C47×#3312C2semidirect
13. C47×#3311C2semidirect
14. C47×#3310C2semidirect
15. C47×#3309C2semidirect
16. C47×#3308C2semidirect
17. C47×#3307C2semidirect
18. C47×#3306C2semidirect
19. C47×#3135C2semidirect
20. C47×#3091C2semidirect
21. C47×#3091C2semidirect
22. C47×#3076C2semidirect
23. C47×#3054C2semidirect
24. C47×#3050C2semidirect
25. C47×#3035C2semidirect
26. C47×#3002C2semidirect
27. C47×#3002C2semidirect
28. C47×#2943C2semidirect
29. C2×C47×#435C2semidirect
30. C47×#2896C2semidirect
31. C2×C47×#416C2semidirect
35. C2×#135×C47C22semidirect
36. C2×#135×C47C22semidirect
37. C22×M16×C47C22semidirect
38. C23×C8×C47C22semidirect
39. C47×#556C22semidirect
40. C47×#555C22semidirect
41. C47×#554C22semidirect
43. C47×#553C22semidirect
46. C47×#552C22semidirect
55. C47×#547C22semidirect
63. C47×#533C22semidirect
73. C47×#525C22semidirect
74. C47×#525C22semidirect
77. C4×#41×C47C22semidirect
80. C2×#117×C47C22semidirect
81. C2×#117×C47C22semidirect
82. C47×#491C22semidirect
83. C47×#491C22semidirect
84. C47×#490C22semidirect
85. C47×#490C22semidirect
86. C47×#489C22semidirect
87. C47×#489C22semidirect
88. C47×#489C22semidirect
89. C47×#489C22semidirect
90. C47×#485C22semidirect
91. C47×#485C22semidirect
92. C47×#485C22semidirect
93. C47×#485C22semidirect
94. C47×#484C22semidirect
95. C47×#484C22semidirect
96. C47×#483C22semidirect
97. C47×#483C22semidirect
98. C47×#482C22semidirect
99. C47×#482C22semidirect
100. C47×#482C22semidirect
101. C47×#482C22semidirect
102. C47×#481C22semidirect
103. C47×#481C22semidirect
104. C47×#480C22semidirect
105. C47×#480C22semidirect
106. C47×#479C22semidirect
107. C47×#479C22semidirect
108. C47×#478C22semidirect
109. C47×#478C22semidirect
110. C47×#477C22semidirect
111. C47×#476C22semidirect
112. C47×#475C22semidirect
113. C47×#474C22semidirect
114. C47×#470C22semidirect
115. C47×#470C22semidirect
116. C47×#469C22semidirect
117. C47×#469C22semidirect
118. C47×#468C22semidirect
119. C47×#468C22semidirect
120. C47×#468C22semidirect
121. C47×#468C22semidirect
122. C47×#467C22semidirect
123. C47×#467C22semidirect
124. C47×#466C22semidirect
125. C47×#466C22semidirect
126. C47×#465C22semidirect
127. C47×#465C22semidirect
128. C47×#465C22semidirect
129. C47×#465C22semidirect
130. C47×#464C22semidirect
131. C47×#464C22semidirect
132. C47×#463C22semidirect
133. C47×#463C22semidirect
134. C47×#462C22semidirect
135. C47×#461C22semidirect
136. C47×#460C22semidirect
137. C47×#459C22semidirect
138. C47×#452C22semidirect
139. C47×#452C22semidirect
140. C47×#452C22semidirect
141. C47×#452C22semidirect
142. C47×#451C22semidirect
143. C47×#451C22semidirect
144. C47×#450C22semidirect
145. C47×#450C22semidirect
146. C47×#449C22semidirect
147. C47×#449C22semidirect
148. C47×#449C22semidirect
149. C47×#449C22semidirect
150. C47×#448C22semidirect
151. C47×#448C22semidirect
152. C47×#447C22semidirect
153. C47×#447C22semidirect
154. C47×#442C22semidirect
155. C47×#442C22semidirect
156. C47×#441C22semidirect
157. C47×#441C22semidirect
158. C47×#440C22semidirect
159. C47×#440C22semidirect
160. C47×#440C22semidirect
161. C47×#440C22semidirect
164. C47×#435C22semidirect
165. C47×#435C22semidirect
166. C47×#435C22semidirect
167. C47×#435C22semidirect
168. C47×#435C22semidirect
169. C47×#435C22semidirect
170. C47×#427C22semidirect
171. C47×#427C22semidirect
172. C47×#427C22semidirect
173. C2×C4⋊C8×C47C22semidirect
174. C47×#419C22semidirect
175. C47×#419C22semidirect
176. C47×#418C22semidirect
177. C47×#418C22semidirect
178. C47×#417C22semidirect
179. C47×#417C22semidirect
180. C47×#417C22semidirect
181. C47×#417C22semidirect
185. C47×#416C22semidirect
186. C47×#416C22semidirect
187. C47×#416C22semidirect
188. C47×#416C22semidirect
189. C47×#416C22semidirect
190. C47×#416C22semidirect
191. C47×#416C22semidirect
192. C47×#416C22semidirect
193. C47×#416C22semidirect
194. C47×#416C22semidirect
195. C47×#416C22semidirect
196. C2×#103×C47C22semidirect
197. C2×#103×C47C22semidirect
198. C2×#102×C47C22semidirect
199. C2×#102×C47C22semidirect
200. C2×C22⋊C8×C47C22semidirect
201. C2×C22⋊C8×C47C22semidirect
202. C2×#97×C47C22semidirect
511. #41×C47#41semidirect
852. #61141C47direct (N × H)
908. #3475C2×C47semidirect
909. D4×#41C2×C47semidirect
910. #3321C2×C47semidirect
911. #3320C2×C47semidirect
912. #3319C2×C47semidirect
913. #3318C2×C47semidirect
914. #3317C2×C47semidirect
915. #3316C2×C47semidirect
916. #3315C2×C47semidirect
917. #3314C2×C47semidirect
918. #3313C2×C47semidirect
919. #3312C2×C47semidirect
920. #3311C2×C47semidirect
921. #3310C2×C47semidirect
922. #3309C2×C47semidirect
923. #3308C2×C47semidirect
924. #3307C2×C47semidirect
925. #3306C2×C47semidirect
926. #3135C2×C47semidirect
927. #3091C2×C47semidirect
928. #3091C2×C47semidirect
929. #3076C2×C47semidirect
930. #3054C2×C47semidirect
931. #3050C2×C47semidirect
932. #3035C2×C47semidirect
933. #3002C2×C47semidirect
934. #3002C2×C47semidirect
935. #2943C2×C47semidirect
936. C2×#435C2×C47semidirect
937. #2896C2×C47semidirect
938. C2×#416C2×C47semidirect
954. C2×#135C22×C47semidirect
955. C2×#135C22×C47semidirect
956. C22×M16C22×C47semidirect
957. C23×C8C22×C47semidirect
958. #556C22×C47semidirect
959. #555C22×C47semidirect
960. #554C22×C47semidirect
962. #553C22×C47semidirect
965. #552C22×C47semidirect
974. #547C22×C47semidirect
982. #533C22×C47semidirect
992. #525C22×C47semidirect
993. #525C22×C47semidirect
996. C4×#41C22×C47semidirect
999. C2×#117C22×C47semidirect
1000. C2×#117C22×C47semidirect
1001. #491C22×C47semidirect
1002. #491C22×C47semidirect
1003. #490C22×C47semidirect
1004. #490C22×C47semidirect
1005. #489C22×C47semidirect
1006. #489C22×C47semidirect
1007. #489C22×C47semidirect
1008. #489C22×C47semidirect
1009. #485C22×C47semidirect
1010. #485C22×C47semidirect
1011. #485C22×C47semidirect
1012. #485C22×C47semidirect
1013. #484C22×C47semidirect
1014. #484C22×C47semidirect
1015. #483C22×C47semidirect
1016. #483C22×C47semidirect
1017. #482C22×C47semidirect
1018. #482C22×C47semidirect
1019. #482C22×C47semidirect
1020. #482C22×C47semidirect
1021. #481C22×C47semidirect
1022. #481C22×C47semidirect
1023. #480C22×C47semidirect
1024. #480C22×C47semidirect
1025. #479C22×C47semidirect
1026. #479C22×C47semidirect
1027. #478C22×C47semidirect
1028. #478C22×C47semidirect
1029. #477C22×C47semidirect
1030. #476C22×C47semidirect
1031. #475C22×C47semidirect
1032. #474C22×C47semidirect
1033. #470C22×C47semidirect
1034. #470C22×C47semidirect
1035. #469C22×C47semidirect
1036. #469C22×C47semidirect
1037. #468C22×C47semidirect
1038. #468C22×C47semidirect
1039. #468C22×C47semidirect
1040. #468C22×C47semidirect
1041. #467C22×C47semidirect
1042. #467C22×C47semidirect
1043. #466C22×C47semidirect
1044. #466C22×C47semidirect
1045. #465C22×C47semidirect
1046. #465C22×C47semidirect
1047. #465C22×C47semidirect
1048. #465C22×C47semidirect
1049. #464C22×C47semidirect
1050. #464C22×C47semidirect
1051. #463C22×C47semidirect
1052. #463C22×C47semidirect
1053. #462C22×C47semidirect
1054. #461C22×C47semidirect
1055. #460C22×C47semidirect
1056. #459C22×C47semidirect
1057. #452C22×C47semidirect
1058. #452C22×C47semidirect
1059. #452C22×C47semidirect
1060. #452C22×C47semidirect
1061. #451C22×C47semidirect
1062. #451C22×C47semidirect
1063. #450C22×C47semidirect
1064. #450C22×C47semidirect
1065. #449C22×C47semidirect
1066. #449C22×C47semidirect
1067. #449C22×C47semidirect
1068. #449C22×C47semidirect
1069. #448C22×C47semidirect
1070. #448C22×C47semidirect
1071. #447C22×C47semidirect
1072. #447C22×C47semidirect
1073. #442C22×C47semidirect
1074. #442C22×C47semidirect
1075. #441C22×C47semidirect
1076. #441C22×C47semidirect
1077. #440C22×C47semidirect
1078. #440C22×C47semidirect
1079. #440C22×C47semidirect
1080. #440C22×C47semidirect
1083. #435C22×C47semidirect
1084. #435C22×C47semidirect
1085. #435C22×C47semidirect
1086. #435C22×C47semidirect
1087. #435C22×C47semidirect
1088. #435C22×C47semidirect
1089. #427C22×C47semidirect
1090. #427C22×C47semidirect
1091. #427C22×C47semidirect
1092. C2×C4⋊C8C22×C47semidirect
1093. #419C22×C47semidirect
1094. #419C22×C47semidirect
1095. #418C22×C47semidirect
1096. #418C22×C47semidirect
1097. #417C22×C47semidirect
1098. #417C22×C47semidirect
1099. #417C22×C47semidirect
1100. #417C22×C47semidirect
1104. #416C22×C47semidirect
1105. #416C22×C47semidirect
1106. #416C22×C47semidirect
1107. #416C22×C47semidirect
1108. #416C22×C47semidirect
1109. #416C22×C47semidirect
1110. #416C22×C47semidirect
1111. #416C22×C47semidirect
1112. #416C22×C47semidirect
1113. #416C22×C47semidirect
1114. #416C22×C47semidirect
1115. C2×#103C22×C47semidirect
1116. C2×#103C22×C47semidirect
1117. C2×#102C22×C47semidirect
1118. C2×#102C22×C47semidirect
1119. C2×C22⋊C8C22×C47semidirect
1120. C2×C22⋊C8C22×C47semidirect
1121. C2×#97C22×C47semidirect
1122. C47#61141direct (N × H)
1431. #41#41×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#34752
D4×#41×C472
C47×#33212
C47×#33202
C47×#33192
C47×#33182
C47×#33172
C47×#33162
C47×#33152
C47×#33142
C47×#33132
C47×#33122
C47×#33112
C47×#33102
C47×#33092
C47×#33082
C47×#33072
C47×#33062
C47×#31352
C47×#30912
C47×#30762
C47×#30542
C47×#30502
C47×#30352
C47×#30022
C47×#29432
C2×C47×#4352
C47×#28962
C2×C47×#4162
#6114147