Finite Group Databasebeta

← C43×#61642 #24981659

Subgroups — C43×#61642 #24981659

Order 11008.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3541C211yesmaximal, characteristic, complemented
2C43×#3489C211yesmaximal, characteristic, complemented
3C43×#3320C211yesmaximal, characteristic, complemented
4C43×#3315C211yesmaximal, characteristic, complemented
5C43×#3314C211yesmaximal, characteristic, complemented
6C43×#3313C211yesmaximal, characteristic, complemented
7C43×#3302C211yesmaximal, characteristic, complemented
8C43×#3300C211yesmaximal, characteristic, complemented
9C43×#3299C211yesmaximal, characteristic, complemented
10C43×#3297C211yesmaximal, characteristic, complemented
11D4×Q16×C43C211yesmaximal, characteristic, complemented
12C43×#3285C211yesmaximal, characteristic, complemented
13C43×#3283C211yesmaximal, characteristic, complemented
14C43×#3282C211yesmaximal, characteristic, complemented
15C43×#3270C211yesmaximal, characteristic, complemented
16C43×#3269C211yesmaximal, characteristic, complemented
17C43×#3269C211yesmaximal, characteristic, complemented
18C43×#3266C211yesmaximal, characteristic, complemented
19C43×#3225C211yesmaximal, characteristic, complemented
20C43×#3223C211yesmaximal, characteristic, complemented
21C43×#3203C211yesmaximal, characteristic, complemented
22C43×#3201C211yesmaximal, characteristic, complemented
23C43×#3190C211yesmaximal, characteristic, complemented
24C43×#3189C211yesmaximal, characteristic, complemented
25C43×#3124C211yesmaximal, characteristic, complemented
26C43×#3120C211yesmaximal, characteristic, complemented
27C43×#3013C211yesmaximal, characteristic, complemented
28C43×#3011C211yesmaximal, characteristic, complemented
29C43×#3002C211yesmaximal, characteristic, complemented
30C2×C43×#452C211yesmaximal, characteristic, complemented
31C43×#2977C211yesmaximal, characteristic, complemented
32C2×2−1+4×C43C2211yescharacteristic
33C22×#41×C43C2211yescharacteristic
34C2×#137×C43C2211yescharacteristic, complemented
35C2×#137×C43C2211yescharacteristic, complemented
36C2×#135×C43C2211yescharacteristic
37C2×#135×C43C2211yescharacteristic
38C2×#135×C43C2211yescharacteristic, complemented
39C22×Q16×C43C2211yescharacteristic
40C22×Q16×C43C2211yescharacteristic, complemented
41C22×SD16×C43C2211yescharacteristic
42C43×#563—21no—
43C43×#562—21no—
44C43×#556C2211yescharacteristic, complemented
45C43×#554—21no—
46C43×#554C2211yescharacteristic
47C43×#553—21no—
48C43×#553C2211yescharacteristic
49C43×#552C2211yescharacteristic, complemented
50D4×Q8×C43C2211yescharacteristic
51D4×Q8×C43C2211yescharacteristic
52D4×Q8×C43C2211yescharacteristic
53C43×#548C2211yescharacteristic
54C43×#548C2211yescharacteristic
55C43×#548C2211yescharacteristic
56C43×#548C2211yescharacteristic, complemented
57C43×#547—21no—
58C43×#547—21no—
59C43×#547C2211yescharacteristic
60C43×#547C2211yescharacteristic
61C43×#547C2211yescharacteristic, complemented
62C43×#546—21no—
63C43×#546—21no—
64C43×#546C2211yescharacteristic
65C43×#546C2211yescharacteristic
66C43×#542—21no—
67C43×#542C2211yescharacteristic, complemented
68C43×#541C2211yescharacteristic, complemented
69C43×#539—21no—
70C43×#538—21no—
71C43×#538—21no—
72C43×#537—21no—
73C43×#537C2211yescharacteristic
74C43×#537C2211yescharacteristic, complemented
75C43×#536—21no—
76C43×#536C2211yescharacteristic
77C43×#536C2211yescharacteristic, complemented
78C43×#525—21no—
79C43×#525C2211yescharacteristic
80C43×#525C2211yescharacteristic
81C2×C22⋊Q8×C43—21no—
82C2×C22⋊Q8×C43C2211yescharacteristic
83C2×C22⋊Q8×C43C2211yescharacteristic
84C43×#520C2211yescharacteristic
85C43×#497C2211yescharacteristic, complemented
86C43×#497C2211yescharacteristic, complemented
87C43×#495C2211yescharacteristic, complemented
88C43×#494C2211yescharacteristic, complemented
89C43×#491C2211yescharacteristic, complemented
90C43×#489C2211yescharacteristic, complemented
91C43×#488C2211yescharacteristic, complemented
92C43×#487C2211yescharacteristic, complemented
93C43×#485C2211yescharacteristic, complemented
94C43×#485C2211yescharacteristic, complemented
95C43×#485C2211yescharacteristic, complemented
96C43×#484C2211yescharacteristic
97C43×#484C2211yescharacteristic
98C43×#484C2211yescharacteristic, complemented
99C43×#484C2211yescharacteristic, complemented
100C43×#484C2211yescharacteristic, complemented
101C43×#483C2211yescharacteristic, complemented
102C43×#482C2211yescharacteristic, complemented
103C43×#480C2211yescharacteristic, complemented
104C43×#480C2211yescharacteristic, complemented
105C43×#479C2211yescharacteristic, complemented
106C43×#478C2211yescharacteristic, complemented
107C43×#477C2211yescharacteristic, complemented
108C43×#474C2211yescharacteristic, complemented
109C43×#470C2211yescharacteristic, complemented
110C43×#468C2211yescharacteristic, complemented
111C43×#468C2211yescharacteristic, complemented
112C43×#468C2211yescharacteristic, complemented
113C43×#467C2211yescharacteristic
114C43×#467C2211yescharacteristic
115C43×#467C2211yescharacteristic, complemented
116C43×#467C2211yescharacteristic, complemented
117C43×#467C2211yescharacteristic, complemented
118C43×#467C2211yescharacteristic, complemented
119C43×#467C2211yescharacteristic, complemented
120C43×#467C2211yescharacteristic, complemented
121C43×#466C2211yescharacteristic, complemented
122C43×#465C2211yescharacteristic
123C43×#465C2211yescharacteristic
124C43×#465C2211yescharacteristic, complemented
125C43×#464C2211yescharacteristic, complemented
126C43×#464C2211yescharacteristic, complemented
127C43×#464C2211yescharacteristic, complemented
128C43×#464C2211yescharacteristic, complemented
129C43×#463C2211yescharacteristic, complemented
130C43×#463C2211yescharacteristic, complemented
131C43×#462C2211yescharacteristic, complemented
132C43×#462C2211yescharacteristic, complemented
133C43×#462C2211yescharacteristic, complemented
134C43×#462C2211yescharacteristic, complemented
135C43×#461C2211yescharacteristic, complemented
136C43×#461C2211yescharacteristic, complemented
137C43×#452C2211yescharacteristic
138C43×#452C2211yescharacteristic
139C43×#452C2211yescharacteristic
140C43×#452C2211yescharacteristic
141C43×#452C2211yescharacteristic
142C43×#452C2211yescharacteristic
143C43×#452C2211yescharacteristic
144C43×#452C2211yescharacteristic
145C43×#452C2211yescharacteristic
146C43×#452C2211yescharacteristic
147C43×#452C2211yescharacteristic, complemented
148C43×#452C2211yescharacteristic, complemented
149C43×#452C2211yescharacteristic, complemented
150C43×#452C2211yescharacteristic, complemented
151C43×#452C2211yescharacteristic, complemented
152C43×#452C2211yescharacteristic, complemented
153C43×#451C2211yescharacteristic
154C43×#451C2211yescharacteristic
155C43×#451C2211yescharacteristic
156C43×#451C2211yescharacteristic, complemented
157C43×#451C2211yescharacteristic, complemented
158C43×#451C2211yescharacteristic, complemented
159C43×#451C2211yescharacteristic, complemented
160C43×#451C2211yescharacteristic, complemented
161C43×#451C2211yescharacteristic, complemented
162C43×#451C2211yescharacteristic, complemented
163C43×#450C2211yescharacteristic
164C43×#449C2211yescharacteristic
165C43×#449C2211yescharacteristic
166C43×#449C2211yescharacteristic, complemented
167C43×#449C2211yescharacteristic, complemented
168C43×#448C2211yescharacteristic
169C43×#448C2211yescharacteristic, complemented
170C43×#448C2211yescharacteristic, complemented
171C43×#448C2211yescharacteristic, complemented
172C43×#447C2211yescharacteristic
173C43×#441C2211yescharacteristic, complemented
174C43×#440C2211yescharacteristic, complemented
175C43×#440C2211yescharacteristic, complemented
176C43×#440C2211yescharacteristic, complemented
177C4×Q16×C43C2211yescharacteristic, complemented
178C4×Q16×C43C2211yescharacteristic, complemented
179C4×SD16×C43C2211yescharacteristic, complemented
180C4×D8×C43C2211yescharacteristic, complemented
181C43×#435C2211yescharacteristic
182C43×#435C2211yescharacteristic
183C43×#435C2211yescharacteristic, complemented
184C43×#435C2211yescharacteristic, complemented
185C8×D4×C43C2211yescharacteristic
186C8×D4×C43C2211yescharacteristic
187C8×D4×C43C2211yescharacteristic, complemented
188C8×D4×C43C2211yescharacteristic, complemented
189C43×#433C2211yescharacteristic, complemented
190C43×#433C2211yescharacteristic, complemented
191C43×#419C2211yescharacteristic, complemented
192C43×#417C2211yescharacteristic, complemented
193C43×#416C2211yescharacteristic
194C43×#416C2211yescharacteristic
195C43×#416C2211yescharacteristic, complemented
196C2×#103×C43C2211yescharacteristic
197C2×#103×C43C2211yescharacteristic, complemented
198C2×#102×C43C2211yescharacteristic
199C43×#408C2211yescharacteristic, complemented
200C43×#408C2211yescharacteristic, complemented
201C2×C22⋊C8×C43C2211yescharacteristic
202C2×C22⋊C8×C43C2211yescharacteristic
2032−1+4×C43—42no—
2042−1+4×C43—42no—
205C2×#41×C43—21no—
206C2×#41×C43—21no—
207C2×#41×C43—21no—
208C2×#41×C43—21no—
209C2×#41×C43—21no—
210C2×#41×C43—42no—
211C2×#41×C43—42no—
212C2×#41×C43C2311yescharacteristic
213C2×#41×C43C2311yescharacteristic
214C2×#41×C43C2311yescharacteristic
215C2×#41×C43C2311yescharacteristic
216C2×#41×C43C2311yescharacteristic
217C2×#41×C43C2311yescharacteristic
218C2×#41×C43C2311yescharacteristic
219C2×#41×C43C2311yescharacteristic
220C2×#41×C43C2311yescharacteristic
221C22×Q8×C43—21no—
222C22×Q8×C43C2311yescharacteristic
223C22×Q8×C43C2311yescharacteristic
224C22×Q8×C43C2311yescharacteristic
225C22×Q8×C43C2311yescharacteristic
226C22×Q8×C43C2311yescharacteristic
227C22×Q8×C43C2311yescharacteristic
228C22×D4×C43—21no—
229C22×D4×C43C2311yescharacteristic
230C23×C4×C43—21no—
231C23×C4×C43C2311yescharacteristic
232#137×C43—42no—
233#137×C43—42no—
234#135×C43—42no—
235#135×C43—42no—
236#135×C43—42no—
237C2×Q16×C43—42no—
238C2×Q16×C43—42no—
239C2×Q16×C43C2311yescharacteristic
240C2×Q16×C43C2311yescharacteristic
241C2×Q16×C43C2311yescharacteristic
242C2×Q16×C43C2311yescharacteristic
243C2×Q16×C43C2311yescharacteristic
244C2×Q16×C43C2311yescharacteristic
245C2×Q16×C43C2311yescharacteristic
246C2×Q16×C43C2311yescharacteristic
247C2×Q16×C43C2311yescharacteristic
248C2×Q16×C43C2311yescharacteristic
249C2×Q16×C43C2311yescharacteristic
250C2×Q16×C43C2311yescharacteristic
251C2×SD16×C43—42no—
252C2×SD16×C43C2311yescharacteristic
253C2×SD16×C43C2311yescharacteristic
254C2×SD16×C43C2311yescharacteristic
255C2×SD16×C43C2311yescharacteristic
256C2×SD16×C43C2311yescharacteristic
257C2×SD16×C43C2311yescharacteristic
258C2×SD16×C43C2311yescharacteristic
259C2×SD16×C43C2311yescharacteristic
260C2×SD16×C43C2311yescharacteristic
261C2×SD16×C43C2311yescharacteristic
262C2×D8×C43C2311yescharacteristic
263C2×D8×C43C2311yescharacteristic
264C2×M16×C43C2311yescharacteristic
265C2×M16×C43C2311yescharacteristic
266C22×C8×C43C2311yescharacteristic
267C22×C8×C43C2311yescharacteristic
268C22×C8×C43C2311yescharacteristic
269C22×C8×C43C2311yescharacteristic
270C22×C8×C43C2311yescharacteristic
271C22×C8×C43C2311yescharacteristic
272C4⋊Q8×C43—21no—
273C4⋊Q8×C43—21no—
274C4⋊Q8×C43—21no—
275C4⋊Q8×C43—21no—
276C4⋊Q8×C43C2311yescharacteristic
277C4⋊Q8×C43C2311yescharacteristic
278C4⋊Q8×C43C2311yescharacteristic
279C4⋊Q8×C43C2311yescharacteristic
280#126×C43—21no—
281#126×C43—21no—
282#126×C43—21no—
283#126×C43—21no—
284#126×C43—21no—
285#126×C43—21no—
286#126×C43—21no—
287#125×C43—21no—
288#125×C43—21no—
289#125×C43—21no—
290#125×C43—21no—
291#125×C43C2311yescharacteristic
292#124×C43—21no—
293#124×C43—21no—
294#124×C43—21no—
295#124×C43—21no—
296#124×C43—21no—
297#124×C43—21no—
298#124×C43—21no—
299#124×C43C2311yescharacteristic
300#124×C43C2311yescharacteristic
301#124×C43C2311yescharacteristic
302#123×C43—21no—
303#123×C43—21no—
304#123×C43—21no—
305#123×C43—21no—
306#123×C43—21no—
307#123×C43—21no—
308#123×C43—21no—
309#123×C43—21no—
310#123×C43—21no—
311#123×C43—21no—
312#123×C43—21no—
313#123×C43—21no—
314#123×C43—21no—
315#123×C43—21no—
316#123×C43—21no—
317#123×C43—21no—
318#123×C43D411yescharacteristic
319#123×C43D411yescharacteristic
320C22⋊Q8×C43—21no—
321C22⋊Q8×C43—21no—
322C22⋊Q8×C43—21no—
323C22⋊Q8×C43—21no—
324C22⋊Q8×C43—21no—
325C22⋊Q8×C43—21no—
326C22⋊Q8×C43—21no—
327C22⋊Q8×C43—21no—
328C22⋊Q8×C43—21no—
329C22⋊Q8×C43—21no—
330C22⋊Q8×C43—21no—
331C22⋊Q8×C43—21no—
332C22⋊Q8×C43—21no—
333C22⋊Q8×C43—21no—
334C22⋊Q8×C43—21no—
335C22⋊Q8×C43—21no—
336C22⋊Q8×C43—21no—
337C22⋊Q8×C43—21no—
338C22⋊Q8×C43—21no—
339C22⋊Q8×C43—21no—
340C22⋊Q8×C43—21no—
341C22⋊Q8×C43D411yescharacteristic
342C22⋊Q8×C43D411yescharacteristic
343C22⋊Q8×C43C2311yescharacteristic
344C22⋊Q8×C43C2311yescharacteristic
345C22⋊Q8×C43C2311yescharacteristic
346C22⋊Q8×C43C2311yescharacteristic
347C22⋊Q8×C43C2311yescharacteristic
348C22⋊Q8×C43C2311yescharacteristic
349C22⋊Q8×C43C2311yescharacteristic
350C22⋊Q8×C43C2311yescharacteristic
351C22⋊Q8×C43C2311yescharacteristic
352C22⋊Q8×C43C2311yescharacteristic
353C22⋊Q8×C43C2311yescharacteristic
354C22⋊Q8×C43C2311yescharacteristic
355C22⋊Q8×C43C2311yescharacteristic
356C22⋊Q8×C43C2311yescharacteristic
357C22⋊Q8×C43C2311yescharacteristic
358#121×C43—21no—
359#121×C43—21no—
360#121×C43—21no—
361#121×C43—21no—
362#121×C43—21no—
363#121×C43—21no—
364#121×C43—21no—
365#121×C43—21no—
366#121×C43—21no—
367#121×C43—21no—
368#121×C43—21no—
369#121×C43—21no—
370#121×C43—21no—
371#121×C43—21no—
372#121×C43—21no—
373#121×C43—21no—
374#121×C43D411yescharacteristic
375#121×C43D411yescharacteristic
376#121×C43C2311yescharacteristic
377#121×C43C2311yescharacteristic
378#121×C43C2311yescharacteristic
379#121×C43C2311yescharacteristic
380#121×C43C2311yescharacteristic
381#120×C43—21no—
382#120×C43—21no—
383#120×C43—21no—
384#120×C43D411yescharacteristic
385#120×C43D411yescharacteristic
386C4×Q8×C43—21no—
387C4×Q8×C43C2311yescharacteristic
388C4×Q8×C43C2311yescharacteristic
389C4×Q8×C43C2311yescharacteristic
390C4×Q8×C43C2311yescharacteristic
391C4×Q8×C43C2311yescharacteristic
392C4×D4×C43—21no—
393C4×D4×C43—21no—
394C4×D4×C43—21no—
395C4×D4×C43—21no—
396C4×D4×C43—21no—
397C4×D4×C43—21no—
398C4×D4×C43—21no—
399C4×D4×C43—21no—
400C4×D4×C43—21no—
401C4×D4×C43—21no—
402C4×D4×C43—21no—
403C4×D4×C43—21no—
404C4×D4×C43—21no—
405C4×D4×C43C2311yescharacteristic
406C4×D4×C43C2311yescharacteristic
407C4×D4×C43C2311yescharacteristic
408C4×D4×C43C2311yescharacteristic
409C4×D4×C43C2311yescharacteristic
410C4×D4×C43C2311yescharacteristic
411C4×D4×C43C2311yescharacteristic
412#117×C43—21no—
413#117×C43—21no—
414#117×C43C2311yescharacteristic
415#117×C43C2311yescharacteristic
416#117×C43C2311yescharacteristic
417C2×C4⋊C4×C43—21no—
418C2×C4⋊C4×C43—21no—
419C2×C4⋊C4×C43—21no—
420C2×C4⋊C4×C43—21no—
421C2×C4⋊C4×C43—21no—
422C2×C4⋊C4×C43—21no—
423C2×C4⋊C4×C43C2311yescharacteristic
424C2×C4⋊C4×C43C2311yescharacteristic
425C2×C4⋊C4×C43C2311yescharacteristic
426C2×C22⋊C4×C43—21no—
427C2×C22⋊C4×C43—21no—
428C2×C22⋊C4×C43—21no—
429C2×C22⋊C4×C43—21no—
430#107×C43C2311yescharacteristic
431#107×C43C2311yescharacteristic
432#107×C43C2311yescharacteristic
433#107×C43C2311yescharacteristic
434#107×C43C2311yescharacteristic
435#107×C43C2311yescharacteristic
436#106×C43C2311yescharacteristic
437#106×C43C2311yescharacteristic
438C4⋊C8×C43C2311yescharacteristic
439C4⋊C8×C43C2311yescharacteristic
440C4⋊C8×C43C2311yescharacteristic
441C4⋊C8×C43C2311yescharacteristic
442#103×C43C2311yescharacteristic
443#103×C43C2311yescharacteristic
444#103×C43C2311yescharacteristic
445#103×C43C2311yescharacteristic
446#103×C43C2311yescharacteristic
447#103×C43C2311yescharacteristic
448#103×C43C2311yescharacteristic
449#103×C43C2311yescharacteristic
450#103×C43C2311yescharacteristic
451#103×C43C2311yescharacteristic
452#103×C43C2311yescharacteristic
453#103×C43C2311yescharacteristic
454#103×C43C2311yescharacteristic
455#103×C43C2311yescharacteristic
456#103×C43C2311yescharacteristic
457#103×C43C2311yescharacteristic
458#103×C43C2311yescharacteristic
459#103×C43C2311yescharacteristic
460#103×C43C2311yescharacteristic
461#103×C43C2311yescharacteristic
462#103×C43C2311yescharacteristic
463#103×C43C2311yescharacteristic
464#102×C43C2311yescharacteristic
465#102×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483C22⋊C8×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487#97×C43C2311yescharacteristic
488C4×C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—22no—
494#41×C43—22no—
495#41×C43—22no—
496#41×C43—22no—
497#41×C43—22no—
498#41×C43—41no—
499#41×C43—41no—
500#41×C43—41no—
501#41×C43—41no—
502#41×C43—41no—
503#41×C43—41no—
504#41×C43—41no—
505#41×C43—41no—
506#41×C43—44no—
507#41×C43—44no—
508#41×C43—41no—
509#41×C43—41no—
510#41×C43—41no—
511#41×C43—41no—
512#41×C43—44no—
513#41×C43—44no—
514#41×C43—44no—
515C2×Q8×C43—21no—
516C2×Q8×C43—21no—
517C2×Q8×C43—21no—
518C2×Q8×C43—21no—
519C2×Q8×C43—21no—
520C2×Q8×C43—21no—
521C2×Q8×C43—21no—
522C2×Q8×C43—22no—
523C2×Q8×C43—22no—
524C2×Q8×C43—22no—
525C2×Q8×C43—41no—
526C2×Q8×C43—41no—
527C2×Q8×C43—41no—
528C2×Q8×C43—41no—
529C2×Q8×C43—41no—
530C2×Q8×C43—44no—
531C2×Q8×C43—41no—
532C2×Q8×C43—41no—
533C2×Q8×C43—41no—
534C2×Q8×C43—41no—
535C2×Q8×C43C2×D411yescharacteristic
536C2×Q8×C43C2411yescharacteristic
537C2×Q8×C43C2411yescharacteristic
538C2×Q8×C43C2411yescharacteristic
539C2×Q8×C43C2411yescharacteristic
540C2×Q8×C43C2411yescharacteristic
541C2×Q8×C43C2411yescharacteristic
542C2×Q8×C43C2411yescharacteristic
543C2×D4×C43—21no—
544C2×D4×C43—21no—
545C2×D4×C43—21no—
546C2×D4×C43—21no—
547C2×D4×C43—21no—
548C2×D4×C43—21no—
549C2×D4×C43—21no—
550C2×D4×C43—21no—
551C2×D4×C43—21no—
552C2×D4×C43—21no—
553C2×D4×C43—21no—
554C2×D4×C43—21no—
555C2×D4×C43—21no—
556C2×D4×C43—21no—
557C2×D4×C43—22no—
558C2×D4×C43—41no—
559C2×D4×C43—44no—
560C2×D4×C43C2×D411yescharacteristic
561C2×D4×C43C2×D411yescharacteristic
562C2×D4×C43C2×D411yescharacteristic
563C2×D4×C43C2×D411yescharacteristic
564C2×D4×C43C2×D411yescharacteristic
565C2×D4×C43C2×D411yescharacteristic
566C2×D4×C43C2×D411yescharacteristic
567C2×D4×C43C2411yescharacteristic
568C2×D4×C43C2411yescharacteristic
569C2×D4×C43C2411yescharacteristic
570C22×C4×C43—21no—
571C22×C4×C43—21no—
572C22×C4×C43—21no—
573C22×C4×C43—21no—
574C22×C4×C43—21no—
575C22×C4×C43—21no—
576C22×C4×C43—21no—
577C22×C4×C43—21no—
578C22×C4×C43—21no—
579C22×C4×C43—21no—
580C22×C4×C43—21no—
581C22×C4×C43—21no—
582C22×C4×C43—21no—
583C22×C4×C43—21no—
584C22×C4×C43—21no—
585C22×C4×C43—21no—
586C22×C4×C43—21no—
587C22×C4×C43—21no—
588C22×C4×C43—21no—
589C22×C4×C43—21no—
590C22×C4×C43—41no—
591C22×C4×C43—41no—
592C22×C4×C43—44no—
593C22×C4×C43C2×D411yescharacteristic
594C22×C4×C43C2×D411yescharacteristic
595C22×C4×C43C2×D411yescharacteristic
596C22×C4×C43C2411yescharacteristic
597C22×C4×C43C2411yescharacteristic
598C22×C4×C43C2411yescharacteristic
599C22×C4×C43C2411yescharacteristic
600C22×C4×C43C2411yescharacteristic
601Q16×C43—22no—
602Q16×C43—22no—
603Q16×C43—22no—
604Q16×C43—41no—
605Q16×C43—41no—
606Q16×C43—41no—
607Q16×C43—41no—
608Q16×C43—41no—
609Q16×C43—41no—
610Q16×C43—41no—
611Q16×C43—41no—
612Q16×C43—41no—
613SD16×C43—22no—
614SD16×C43—22no—
615SD16×C43—22no—
616SD16×C43—22no—
617SD16×C43—41no—
618SD16×C43—41no—
619SD16×C43—41no—
620SD16×C43—41no—
621SD16×C43—41no—
622SD16×C43—41no—
623D8×C43—22no—
624D8×C43—41no—
625M16×C43—41no—
626M16×C43—41no—
627C2×C8×C43—41no—
628C2×C8×C43—41no—
629C2×C8×C43—41no—
630C2×C8×C43—41no—
631C2×C8×C43—41no—
632C2×C8×C43—41no—
633C2×C8×C43C2411yescharacteristic
634C2×C8×C43C2411yescharacteristic
635C2×C8×C43C2411yescharacteristic
636C2×C8×C43C2411yescharacteristic
637C2×C8×C43C2411yescharacteristic
638C2×C8×C43C2411yescharacteristic
639C2×C8×C43C2411yescharacteristic
640C2×C8×C43C2411yescharacteristic
641C4⋊C4×C43—21no—
642C4⋊C4×C43—21no—
643C4⋊C4×C43—21no—
644C4⋊C4×C43—21no—
645C4⋊C4×C43—21no—
646C4⋊C4×C43—21no—
647C4⋊C4×C43—21no—
648C4⋊C4×C43—21no—
649C4⋊C4×C43—21no—
650C4⋊C4×C43—21no—
651C4⋊C4×C43—21no—
652C4⋊C4×C43—21no—
653C4⋊C4×C43—21no—
654C4⋊C4×C43—21no—
655C4⋊C4×C43—21no—
656C4⋊C4×C43—21no—
657C4⋊C4×C43—21no—
658C4⋊C4×C43—21no—
659C4⋊C4×C43—21no—
660C4⋊C4×C43—21no—
661C4⋊C4×C43—21no—
662C4⋊C4×C43—21no—
663C4⋊C4×C43—21no—
664C4⋊C4×C43—21no—
665C4⋊C4×C43—21no—
666C4⋊C4×C43—21no—
667C4⋊C4×C43—21no—
668C4⋊C4×C43—21no—
669C4⋊C4×C43—21no—
670C4⋊C4×C43—21no—
671C4⋊C4×C43—21no—
672C4⋊C4×C43—21no—
673C4⋊C4×C43C2×D411yescharacteristic
674C4⋊C4×C43C2×D411yescharacteristic
675C4⋊C4×C43C2×D411yescharacteristic
676C4⋊C4×C43C2×D411yescharacteristic
677C4⋊C4×C43C2×D411yescharacteristic
678C4⋊C4×C43C2×D411yescharacteristic
679C4⋊C4×C43C2411yescharacteristic
680C4⋊C4×C43C2411yescharacteristic
681C4⋊C4×C43C2411yescharacteristic
682C4⋊C4×C43C2411yescharacteristic
683C4⋊C4×C43C2411yescharacteristic
684C4⋊C4×C43C2411yescharacteristic
685C22⋊C4×C43—21no—
686C22⋊C4×C43—21no—
687C22⋊C4×C43—21no—
688C22⋊C4×C43—21no—
689C22⋊C4×C43—21no—
690C22⋊C4×C43—21no—
691C22⋊C4×C43—21no—
692C22⋊C4×C43—21no—
693C22⋊C4×C43—21no—
694C22⋊C4×C43—21no—
695C22⋊C4×C43—21no—
696C22⋊C4×C43—21no—
697C22⋊C4×C43—21no—
698C22⋊C4×C43—21no—
699C22⋊C4×C43—21no—
700C22⋊C4×C43—21no—
701C22⋊C4×C43—21no—
702C22⋊C4×C43—21no—
703C22⋊C4×C43—21no—
704C22⋊C4×C43—21no—
705C22⋊C4×C43—21no—
706C22⋊C4×C43—21no—
707C22⋊C4×C43—21no—
708C22⋊C4×C43—21no—
709C22⋊C4×C43—21no—
710C22⋊C4×C43—21no—
711C22⋊C4×C43—21no—
712C22⋊C4×C43—21no—
713C22⋊C4×C43—21no—
714C22⋊C4×C43—21no—
715C22⋊C4×C43—21no—
716C22⋊C4×C43C2×D411yescharacteristic
717C22⋊C4×C43C2×D411yescharacteristic
718C22⋊C4×C43C2×D411yescharacteristic
719C22⋊C4×C43C2×D411yescharacteristic
720C22⋊C4×C43C2×D411yescharacteristic
721C22⋊C4×C43C2×D411yescharacteristic
722C22⋊C4×C43C2×D411yescharacteristic
723C22⋊C4×C43C2×D411yescharacteristic
724C22⋊C4×C43C2×D411yescharacteristic
725C22⋊C4×C43C2×D411yescharacteristic
726C42×C43—21no—
727C42×C43—21no—
728C42×C43—21no—
729C42×C43—21no—
730C42×C43—21no—
731C42×C43—21no—
732C42×C43—21no—
733C42×C43C2411yescharacteristic
734C42×C43C2411yescharacteristic
735C23×C43—21no—
736C23×C43—22no—
737C23×C43—21no—
738C23×C43—21no—
739C23×C43—41no—
740C23×C43—41no—
741C23×C43—42no—
742C23×C43—42no—
743C23×C43—81no—
744C23×C43C22×D411yescharacteristic
745C23×C43C22×D411yescharacteristic
746C23×C43C22×D411yescharacteristic
747C23×C43C22×D411yescharacteristic
748C23×C43C22×D411yescharacteristic
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—21no—
759Q8×C43—21no—
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—41no—
763Q8×C43—42no—
764Q8×C43—42no—
765Q8×C43—42no—
766Q8×C43—42no—
767Q8×C43—81no—
768Q8×C43—81no—
769Q8×C43—81no—
770Q8×C43H(5,𝔽2)12yes—
771D4×C43—24no—
772D4×C43—22no—
773D4×C43—22no—
774D4×C43—21no—
775D4×C43—21no—
776D4×C43—21no—
777D4×C43—21no—
778D4×C43—21no—
779D4×C43—41no—
780D4×C43—41no—
781D4×C43—41no—
782D4×C43—41no—
783D4×C43—41no—
784D4×C43—42no—
785D4×C43—42no—
786D4×C43—42no—
787D4×C43—42no—
788D4×C43—42no—
789D4×C43—42no—
790D4×C43—42no—
791D4×C43—81no—
792D4×C43—81no—
793D4×C43—81no—
794D4×C43—81no—
795D4×C43—81no—
796D4×C43—81no—
797D4×C43H(5,𝔽2)12yes—
798C2×C4×C43—24no—
799C2×C4×C43—21no—
800C2×C4×C43—21no—
801C2×C4×C43—21no—
802C2×C4×C43—21no—
803C2×C4×C43—21no—
804C2×C4×C43—21no—
805C2×C4×C43—21no—
806C2×C4×C43—21no—
807C2×C4×C43—21no—
808C2×C4×C43—21no—
809C2×C4×C43—21no—
810C2×C4×C43—21no—
811C2×C4×C43—21no—
812C2×C4×C43—21no—
813C2×C4×C43—21no—
814C2×C4×C43—21no—
815C2×C4×C43—21no—
816C2×C4×C43—21no—
817C2×C4×C43—21no—
818C2×C4×C43—21no—
819C2×C4×C43—21no—
820C2×C4×C43—21no—
821C2×C4×C43—21no—
822C2×C4×C43—41no—
823C2×C4×C43—41no—
824C2×C4×C43—41no—
825C2×C4×C43—42no—
826C2×C4×C43—42no—
827C2×C4×C43—42no—
828C2×C4×C43—42no—
829C2×C4×C43—42no—
830C2×C4×C43—42no—
831C2×C4×C43—42no—
832C2×C4×C43—42no—
833C2×C4×C43—42no—
834C2×C4×C43—81no—
835C2×C4×C43—81no—
836C2×C4×C43—81no—
837C2×C4×C43—81no—
838C2×C4×C43—81no—
839C2×C4×C43—81no—
840C2×C4×C43—81no—
841C2×C4×C43—81no—
842C2×C4×C43—81no—
843C2×C4×C43—81no—
844C2×C4×C43C22×D411yescharacteristic
845C2×C4×C43C22×D411yescharacteristic
846C2×C4×C43C22×D411yescharacteristic
847C2×C4×C43C22×D411yescharacteristic
848C2×C4×C43C22×D411yescharacteristic
849C2×C4×C43C22×D411yescharacteristic
850C2×C4×C43C22×D411yescharacteristic
851C2×C4×C43C22×D411yescharacteristic
852C2×C4×C43C22×D411yescharacteristic
853C2×C4×C43C2511yescharacteristic
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C8×C43—21no—
858C8×C43—21no—
859C8×C43—21no—
860C8×C43—21no—
861C8×C43—21no—
862#61642C4311yesmaximal, characteristic, direct product factor, Sylow
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—21no—
866C22×C43—21no—
867C22×C43—21no—
868C22×C43—21no—
869C22×C43—22no—
870C22×C43—21no—
871C22×C43—21no—
872C22×C43—21no—
873C22×C43—21no—
874C22×C43—21no—
875C22×C43—21no—
876C22×C43—21no—
877C22×C43—21no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43—41no—
882C22×C43—41no—
883C22×C43—41no—
884C22×C43—41no—
885C22×C43—41no—
886C22×C43—82no—
887C22×C43—84no—
888C22×C43#57812yes—
889C22×C43C23×D411yescharacteristic
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—21no—
893C4×C43—22no—
894C4×C43—21no—
895C4×C43—21no—
896C4×C43—21no—
897C4×C43—21no—
898C4×C43—21no—
899C4×C43—21no—
900C4×C43—41no—
901C4×C43—41no—
902C4×C43—41no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908C4×C43—41no—
909C4×C43—41no—
910C4×C43—41no—
911C4×C43—41no—
912C4×C43C2×H(5,𝔽2)11yescharacteristic
913C4×C43C2×H(5,𝔽2)11yescharacteristic
914#3541C2×C4311yescharacteristic, complemented
915#3489C2×C4311yescharacteristic, complemented
916#3320C2×C4311yescharacteristic, complemented
917#3315C2×C4311yescharacteristic, complemented
918#3314C2×C4311yescharacteristic, complemented
919#3313C2×C4311yescharacteristic, complemented
920#3302C2×C4311yescharacteristic, complemented
921#3300C2×C4311yescharacteristic, complemented
922#3299C2×C4311yescharacteristic, complemented
923#3297C2×C4311yescharacteristic, complemented
924D4×Q16C2×C4311yescharacteristic, complemented
925#3285C2×C4311yescharacteristic, complemented
926#3283C2×C4311yescharacteristic, complemented
927#3282C2×C4311yescharacteristic, complemented
928#3270C2×C4311yescharacteristic, complemented
929#3269C2×C4311yescharacteristic, complemented
930#3269C2×C4311yescharacteristic, complemented
931#3266C2×C4311yescharacteristic, complemented
932#3225C2×C4311yescharacteristic, complemented
933#3223C2×C4311yescharacteristic, complemented
934#3203C2×C4311yescharacteristic, complemented
935#3201C2×C4311yescharacteristic, complemented
936#3190C2×C4311yescharacteristic, complemented
937#3189C2×C4311yescharacteristic, complemented
938#3124C2×C4311yescharacteristic, complemented
939#3120C2×C4311yescharacteristic, complemented
940#3013C2×C4311yescharacteristic, complemented
941#3011C2×C4311yescharacteristic, complemented
942#3002C2×C4311yescharacteristic, complemented
943C2×#452C2×C4311yescharacteristic, complemented
944#2977C2×C4311yescharacteristic, complemented
945C2×C43—22no—
946C2×C43—41no—
947C2×C43—41no—
948C2×C43—41no—
949C2×C43—41no—
950C2×C43—42no—
951C2×C43—81no—
952C2×C43—81no—
953C2×C43#348411yescharacteristic
954C2×C43C2×#57811yescharacteristic
955C2×C43#358411yescharacteristic
956C2×2−1+4C22×C4311yescharacteristic
957C22×#41C22×C4311yescharacteristic
958C2×#137C22×C4311yescharacteristic, complemented
959C2×#137C22×C4311yescharacteristic, complemented
960C2×#135C22×C4311yescharacteristic
961C2×#135C22×C4311yescharacteristic
962C2×#135C22×C4311yescharacteristic, complemented
963C22×Q16C22×C4311yescharacteristic
964C22×Q16C22×C4311yescharacteristic, complemented
965C22×SD16C22×C4311yescharacteristic
966#563—21no—
967#562—21no—
968#556C22×C4311yescharacteristic, complemented
969#554—21no—
970#554C22×C4311yescharacteristic
971#553—21no—
972#553C22×C4311yescharacteristic
973#552C22×C4311yescharacteristic, complemented
974D4×Q8C22×C4311yescharacteristic
975D4×Q8C22×C4311yescharacteristic
976D4×Q8C22×C4311yescharacteristic
977#548C22×C4311yescharacteristic
978#548C22×C4311yescharacteristic
979#548C22×C4311yescharacteristic
980#548C22×C4311yescharacteristic, complemented
981#547—21no—
982#547—21no—
983#547C22×C4311yescharacteristic
984#547C22×C4311yescharacteristic
985#547C22×C4311yescharacteristic, complemented
986#546—21no—
987#546—21no—
988#546C22×C4311yescharacteristic
989#546C22×C4311yescharacteristic
990#542—21no—
991#542C22×C4311yescharacteristic, complemented
992#541C22×C4311yescharacteristic, complemented
993#539—21no—
994#538—21no—
995#538—21no—
996#537—21no—
997#537C22×C4311yescharacteristic
998#537C22×C4311yescharacteristic, complemented
999#536—21no—
1000#536C22×C4311yescharacteristic
1001#536C22×C4311yescharacteristic, complemented
1002#525—21no—
1003#525C22×C4311yescharacteristic
1004#525C22×C4311yescharacteristic
1005C2×C22⋊Q8—21no—
1006C2×C22⋊Q8C22×C4311yescharacteristic
1007C2×C22⋊Q8C22×C4311yescharacteristic
1008#520C22×C4311yescharacteristic
1009#497C22×C4311yescharacteristic, complemented
1010#497C22×C4311yescharacteristic, complemented
1011#495C22×C4311yescharacteristic, complemented
1012#494C22×C4311yescharacteristic, complemented
1013#491C22×C4311yescharacteristic, complemented
1014#489C22×C4311yescharacteristic, complemented
1015#488C22×C4311yescharacteristic, complemented
1016#487C22×C4311yescharacteristic, complemented
1017#485C22×C4311yescharacteristic, complemented
1018#485C22×C4311yescharacteristic, complemented
1019#485C22×C4311yescharacteristic, complemented
1020#484C22×C4311yescharacteristic
1021#484C22×C4311yescharacteristic
1022#484C22×C4311yescharacteristic, complemented
1023#484C22×C4311yescharacteristic, complemented
1024#484C22×C4311yescharacteristic, complemented
1025#483C22×C4311yescharacteristic, complemented
1026#482C22×C4311yescharacteristic, complemented
1027#480C22×C4311yescharacteristic, complemented
1028#480C22×C4311yescharacteristic, complemented
1029#479C22×C4311yescharacteristic, complemented
1030#478C22×C4311yescharacteristic, complemented
1031#477C22×C4311yescharacteristic, complemented
1032#474C22×C4311yescharacteristic, complemented
1033#470C22×C4311yescharacteristic, complemented
1034#468C22×C4311yescharacteristic, complemented
1035#468C22×C4311yescharacteristic, complemented
1036#468C22×C4311yescharacteristic, complemented
1037#467C22×C4311yescharacteristic
1038#467C22×C4311yescharacteristic
1039#467C22×C4311yescharacteristic, complemented
1040#467C22×C4311yescharacteristic, complemented
1041#467C22×C4311yescharacteristic, complemented
1042#467C22×C4311yescharacteristic, complemented
1043#467C22×C4311yescharacteristic, complemented
1044#467C22×C4311yescharacteristic, complemented
1045#466C22×C4311yescharacteristic, complemented
1046#465C22×C4311yescharacteristic
1047#465C22×C4311yescharacteristic
1048#465C22×C4311yescharacteristic, complemented
1049#464C22×C4311yescharacteristic, complemented
1050#464C22×C4311yescharacteristic, complemented
1051#464C22×C4311yescharacteristic, complemented
1052#464C22×C4311yescharacteristic, complemented
1053#463C22×C4311yescharacteristic, complemented
1054#463C22×C4311yescharacteristic, complemented
1055#462C22×C4311yescharacteristic, complemented
1056#462C22×C4311yescharacteristic, complemented
1057#462C22×C4311yescharacteristic, complemented
1058#462C22×C4311yescharacteristic, complemented
1059#461C22×C4311yescharacteristic, complemented
1060#461C22×C4311yescharacteristic, complemented
1061#452C22×C4311yescharacteristic
1062#452C22×C4311yescharacteristic
1063#452C22×C4311yescharacteristic
1064#452C22×C4311yescharacteristic
1065#452C22×C4311yescharacteristic
1066#452C22×C4311yescharacteristic
1067#452C22×C4311yescharacteristic
1068#452C22×C4311yescharacteristic
1069#452C22×C4311yescharacteristic
1070#452C22×C4311yescharacteristic
1071#452C22×C4311yescharacteristic, complemented
1072#452C22×C4311yescharacteristic, complemented
1073#452C22×C4311yescharacteristic, complemented
1074#452C22×C4311yescharacteristic, complemented
1075#452C22×C4311yescharacteristic, complemented
1076#452C22×C4311yescharacteristic, complemented
1077#451C22×C4311yescharacteristic
1078#451C22×C4311yescharacteristic
1079#451C22×C4311yescharacteristic
1080#451C22×C4311yescharacteristic, complemented
1081#451C22×C4311yescharacteristic, complemented
1082#451C22×C4311yescharacteristic, complemented
1083#451C22×C4311yescharacteristic, complemented
1084#451C22×C4311yescharacteristic, complemented
1085#451C22×C4311yescharacteristic, complemented
1086#451C22×C4311yescharacteristic, complemented
1087#450C22×C4311yescharacteristic
1088#449C22×C4311yescharacteristic
1089#449C22×C4311yescharacteristic
1090#449C22×C4311yescharacteristic, complemented
1091#449C22×C4311yescharacteristic, complemented
1092#448C22×C4311yescharacteristic
1093#448C22×C4311yescharacteristic, complemented
1094#448C22×C4311yescharacteristic, complemented
1095#448C22×C4311yescharacteristic, complemented
1096#447C22×C4311yescharacteristic
1097#441C22×C4311yescharacteristic, complemented
1098#440C22×C4311yescharacteristic, complemented
1099#440C22×C4311yescharacteristic, complemented
1100#440C22×C4311yescharacteristic, complemented
1101C4×Q16C22×C4311yescharacteristic, complemented
1102C4×Q16C22×C4311yescharacteristic, complemented
1103C4×SD16C22×C4311yescharacteristic, complemented
1104C4×D8C22×C4311yescharacteristic, complemented
1105#435C22×C4311yescharacteristic
1106#435C22×C4311yescharacteristic
1107#435C22×C4311yescharacteristic, complemented
1108#435C22×C4311yescharacteristic, complemented
1109C8×D4C22×C4311yescharacteristic
1110C8×D4C22×C4311yescharacteristic
1111C8×D4C22×C4311yescharacteristic, complemented
1112C8×D4C22×C4311yescharacteristic, complemented
1113#433C22×C4311yescharacteristic, complemented
1114#433C22×C4311yescharacteristic, complemented
1115#419C22×C4311yescharacteristic, complemented
1116#417C22×C4311yescharacteristic, complemented
1117#416C22×C4311yescharacteristic
1118#416C22×C4311yescharacteristic
1119#416C22×C4311yescharacteristic, complemented
1120C2×#103C22×C4311yescharacteristic
1121C2×#103C22×C4311yescharacteristic, complemented
1122C2×#102C22×C4311yescharacteristic
1123#408C22×C4311yescharacteristic, complemented
1124#408C22×C4311yescharacteristic, complemented
1125C2×C22⋊C8C22×C4311yescharacteristic
1126C2×C22⋊C8C22×C4311yescharacteristic
1127C43#6164211yescharacteristic, direct product factor, Sylow
11282−1+4—42no—
11292−1+4—42no—
1130C2×#41—21no—
1131C2×#41—21no—
1132C2×#41—21no—
1133C2×#41—21no—
1134C2×#41—21no—
1135C2×#41—42no—
1136C2×#41—42no—
1137C2×#41C23×C4311yescharacteristic
1138C2×#41C23×C4311yescharacteristic
1139C2×#41C23×C4311yescharacteristic
1140C2×#41C23×C4311yescharacteristic
1141C2×#41C23×C4311yescharacteristic
1142C2×#41C23×C4311yescharacteristic
1143C2×#41C23×C4311yescharacteristic
1144C2×#41C23×C4311yescharacteristic
1145C2×#41C23×C4311yescharacteristic
1146C22×Q8—21no—
1147C22×Q8C23×C4311yescharacteristic
1148C22×Q8C23×C4311yescharacteristic
1149C22×Q8C23×C4311yescharacteristic
1150C22×Q8C23×C4311yescharacteristic
1151C22×Q8C23×C4311yescharacteristic
1152C22×Q8C23×C4311yescharacteristic
1153C22×D4—21no—
1154C22×D4C23×C4311yescharacteristic
1155C23×C4—21no—
1156C23×C4C23×C4311yescharacteristic
1157#137—42no—
1158#137—42no—
1159#135—42no—
1160#135—42no—
1161#135—42no—
1162C2×Q16—42no—
1163C2×Q16—42no—
1164C2×Q16C23×C4311yescharacteristic
1165C2×Q16C23×C4311yescharacteristic
1166C2×Q16C23×C4311yescharacteristic
1167C2×Q16C23×C4311yescharacteristic
1168C2×Q16C23×C4311yescharacteristic
1169C2×Q16C23×C4311yescharacteristic
1170C2×Q16C23×C4311yescharacteristic
1171C2×Q16C23×C4311yescharacteristic
1172C2×Q16C23×C4311yescharacteristic
1173C2×Q16C23×C4311yescharacteristic
1174C2×Q16C23×C4311yescharacteristic
1175C2×Q16C23×C4311yescharacteristic
1176C2×SD16—42no—
1177C2×SD16C23×C4311yescharacteristic
1178C2×SD16C23×C4311yescharacteristic
1179C2×SD16C23×C4311yescharacteristic
1180C2×SD16C23×C4311yescharacteristic
1181C2×SD16C23×C4311yescharacteristic
1182C2×SD16C23×C4311yescharacteristic
1183C2×SD16C23×C4311yescharacteristic
1184C2×SD16C23×C4311yescharacteristic
1185C2×SD16C23×C4311yescharacteristic
1186C2×SD16C23×C4311yescharacteristic
1187C2×D8C23×C4311yescharacteristic
1188C2×D8C23×C4311yescharacteristic
1189C2×M16C23×C4311yescharacteristic
1190C2×M16C23×C4311yescharacteristic
1191C22×C8C23×C4311yescharacteristic
1192C22×C8C23×C4311yescharacteristic
1193C22×C8C23×C4311yescharacteristic
1194C22×C8C23×C4311yescharacteristic
1195C22×C8C23×C4311yescharacteristic
1196C22×C8C23×C4311yescharacteristic
1197C4⋊Q8—21no—
1198C4⋊Q8—21no—
1199C4⋊Q8—21no—
1200C4⋊Q8—21no—
1201C4⋊Q8C23×C4311yescharacteristic
1202C4⋊Q8C23×C4311yescharacteristic
1203C4⋊Q8C23×C4311yescharacteristic
1204C4⋊Q8C23×C4311yescharacteristic
1205#126—21no—
1206#126—21no—
1207#126—21no—
1208#126—21no—
1209#126—21no—
1210#126—21no—
1211#126—21no—
1212#125—21no—
1213#125—21no—
1214#125—21no—
1215#125—21no—
1216#125C23×C4311yescharacteristic
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—21no—
1221#124—21no—
1222#124—21no—
1223#124—21no—
1224#124C23×C4311yescharacteristic
1225#124C23×C4311yescharacteristic
1226#124C23×C4311yescharacteristic
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123D4×C4311yescharacteristic
1244#123D4×C4311yescharacteristic
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8D4×C4311yescharacteristic
1267C22⋊Q8D4×C4311yescharacteristic
1268C22⋊Q8C23×C4311yescharacteristic
1269C22⋊Q8C23×C4311yescharacteristic
1270C22⋊Q8C23×C4311yescharacteristic
1271C22⋊Q8C23×C4311yescharacteristic
1272C22⋊Q8C23×C4311yescharacteristic
1273C22⋊Q8C23×C4311yescharacteristic
1274C22⋊Q8C23×C4311yescharacteristic
1275C22⋊Q8C23×C4311yescharacteristic
1276C22⋊Q8C23×C4311yescharacteristic
1277C22⋊Q8C23×C4311yescharacteristic
1278C22⋊Q8C23×C4311yescharacteristic
1279C22⋊Q8C23×C4311yescharacteristic
1280C22⋊Q8C23×C4311yescharacteristic
1281C22⋊Q8C23×C4311yescharacteristic
1282C22⋊Q8C23×C4311yescharacteristic
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121D4×C4311yescharacteristic
1300#121D4×C4311yescharacteristic
1301#121C23×C4311yescharacteristic
1302#121C23×C4311yescharacteristic
1303#121C23×C4311yescharacteristic
1304#121C23×C4311yescharacteristic
1305#121C23×C4311yescharacteristic
1306#120—21no—
1307#120—21no—
1308#120—21no—
1309#120D4×C4311yescharacteristic
1310#120D4×C4311yescharacteristic
1311C4×Q8—21no—
1312C4×Q8C23×C4311yescharacteristic
1313C4×Q8C23×C4311yescharacteristic
1314C4×Q8C23×C4311yescharacteristic
1315C4×Q8C23×C4311yescharacteristic
1316C4×Q8C23×C4311yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4C23×C4311yescharacteristic
1331C4×D4C23×C4311yescharacteristic
1332C4×D4C23×C4311yescharacteristic
1333C4×D4C23×C4311yescharacteristic
1334C4×D4C23×C4311yescharacteristic
1335C4×D4C23×C4311yescharacteristic
1336C4×D4C23×C4311yescharacteristic
1337#117—21no—
1338#117—21no—
1339#117C23×C4311yescharacteristic
1340#117C23×C4311yescharacteristic
1341#117C23×C4311yescharacteristic
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4—21no—
1344C2×C4⋊C4—21no—
1345C2×C4⋊C4—21no—
1346C2×C4⋊C4—21no—
1347C2×C4⋊C4—21no—
1348C2×C4⋊C4C23×C4311yescharacteristic
1349C2×C4⋊C4C23×C4311yescharacteristic
1350C2×C4⋊C4C23×C4311yescharacteristic
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—21no—
1353C2×C22⋊C4—21no—
1354C2×C22⋊C4—21no—
1355#107C23×C4311yescharacteristic
1356#107C23×C4311yescharacteristic
1357#107C23×C4311yescharacteristic
1358#107C23×C4311yescharacteristic
1359#107C23×C4311yescharacteristic
1360#107C23×C4311yescharacteristic
1361#106C23×C4311yescharacteristic
1362#106C23×C4311yescharacteristic
1363C4⋊C8C23×C4311yescharacteristic
1364C4⋊C8C23×C4311yescharacteristic
1365C4⋊C8C23×C4311yescharacteristic
1366C4⋊C8C23×C4311yescharacteristic
1367#103C23×C4311yescharacteristic
1368#103C23×C4311yescharacteristic
1369#103C23×C4311yescharacteristic
1370#103C23×C4311yescharacteristic
1371#103C23×C4311yescharacteristic
1372#103C23×C4311yescharacteristic
1373#103C23×C4311yescharacteristic
1374#103C23×C4311yescharacteristic
1375#103C23×C4311yescharacteristic
1376#103C23×C4311yescharacteristic
1377#103C23×C4311yescharacteristic
1378#103C23×C4311yescharacteristic
1379#103C23×C4311yescharacteristic
1380#103C23×C4311yescharacteristic
1381#103C23×C4311yescharacteristic
1382#103C23×C4311yescharacteristic
1383#103C23×C4311yescharacteristic
1384#103C23×C4311yescharacteristic
1385#103C23×C4311yescharacteristic
1386#103C23×C4311yescharacteristic
1387#103C23×C4311yescharacteristic
1388#103C23×C4311yescharacteristic
1389#102C23×C4311yescharacteristic
1390#102C23×C4311yescharacteristic
1391#102C23×C4311yescharacteristic
1392#102C23×C4311yescharacteristic
1393#102C23×C4311yescharacteristic
1394#102C23×C4311yescharacteristic
1395#102C23×C4311yescharacteristic
1396#102C23×C4311yescharacteristic
1397#102C23×C4311yescharacteristic
1398#102C23×C4311yescharacteristic
1399C22⋊C8C23×C4311yescharacteristic
1400C22⋊C8C23×C4311yescharacteristic
1401C22⋊C8C23×C4311yescharacteristic
1402C22⋊C8C23×C4311yescharacteristic
1403C22⋊C8C23×C4311yescharacteristic
1404C22⋊C8C23×C4311yescharacteristic
1405C22⋊C8C23×C4311yescharacteristic
1406C22⋊C8C23×C4311yescharacteristic
1407C22⋊C8C23×C4311yescharacteristic
1408C22⋊C8C23×C4311yescharacteristic
1409C22⋊C8C23×C4311yescharacteristic
1410C22⋊C8C23×C4311yescharacteristic
1411#97C23×C4311yescharacteristic
1412#97C23×C4311yescharacteristic
1413C4×C8C23×C4311yescharacteristic
1414C4×C8C23×C4311yescharacteristic
1415C24—21no—
1416C24C2×D4×C4311yescharacteristic
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—22no—
1422#41—22no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—44no—
1432#41—44no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—44no—
1438#41—44no—
1439#41—44no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—21no—
1443C2×Q8—21no—
1444C2×Q8—21no—
1445C2×Q8—21no—
1446C2×Q8—21no—
1447C2×Q8—22no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—44no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8C2×D4×C4311yescharacteristic
1461C2×Q8C24×C4311yescharacteristic
1462C2×Q8C24×C4311yescharacteristic
1463C2×Q8C24×C4311yescharacteristic
1464C2×Q8C24×C4311yescharacteristic
1465C2×Q8C24×C4311yescharacteristic
1466C2×Q8C24×C4311yescharacteristic
1467C2×Q8C24×C4311yescharacteristic
1468C2×D4—21no—
1469C2×D4—22no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—41no—
1484C2×D4—44no—
1485C2×D4C2×D4×C4311yescharacteristic
1486C2×D4C2×D4×C4311yescharacteristic
1487C2×D4C2×D4×C4311yescharacteristic
1488C2×D4C2×D4×C4311yescharacteristic
1489C2×D4C2×D4×C4311yescharacteristic
1490C2×D4C2×D4×C4311yescharacteristic
1491C2×D4C2×D4×C4311yescharacteristic
1492C2×D4C24×C4311yescharacteristic
1493C2×D4C24×C4311yescharacteristic
1494C2×D4C24×C4311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—44no—
1518C22×C4C2×D4×C4311yescharacteristic
1519C22×C4C2×D4×C4311yescharacteristic
1520C22×C4C2×D4×C4311yescharacteristic
1521C22×C4C24×C4311yescharacteristic
1522C22×C4C24×C4311yescharacteristic
1523C22×C4C24×C4311yescharacteristic
1524C22×C4C24×C4311yescharacteristic
1525C22×C4C24×C4311yescharacteristic
1526Q16—22no—
1527Q16—22no—
1528Q16—22no—
1529Q16—41no—
1530Q16—41no—
1531Q16—41no—
1532Q16—41no—
1533Q16—41no—
1534Q16—41no—
1535Q16—41no—
1536Q16—41no—
1537Q16—41no—
1538SD16—22no—
1539SD16—22no—
1540SD16—22no—
1541SD16—22no—
1542SD16—41no—
1543SD16—41no—
1544SD16—41no—
1545SD16—41no—
1546SD16—41no—
1547SD16—41no—
1548D8—22no—
1549D8—41no—
1550M16—41no—
1551M16—41no—
1552C2×C8—41no—
1553C2×C8—41no—
1554C2×C8—41no—
1555C2×C8—41no—
1556C2×C8—41no—
1557C2×C8—41no—
1558C2×C8C24×C4311yescharacteristic
1559C2×C8C24×C4311yescharacteristic
1560C2×C8C24×C4311yescharacteristic
1561C2×C8C24×C4311yescharacteristic
1562C2×C8C24×C4311yescharacteristic
1563C2×C8C24×C4311yescharacteristic
1564C2×C8C24×C4311yescharacteristic
1565C2×C8C24×C4311yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4C2×D4×C4311yescharacteristic
1599C4⋊C4C2×D4×C4311yescharacteristic
1600C4⋊C4C2×D4×C4311yescharacteristic
1601C4⋊C4C2×D4×C4311yescharacteristic
1602C4⋊C4C2×D4×C4311yescharacteristic
1603C4⋊C4C2×D4×C4311yescharacteristic
1604C4⋊C4C24×C4311yescharacteristic
1605C4⋊C4C24×C4311yescharacteristic
1606C4⋊C4C24×C4311yescharacteristic
1607C4⋊C4C24×C4311yescharacteristic
1608C4⋊C4C24×C4311yescharacteristic
1609C4⋊C4C24×C4311yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4C2×D4×C4311yescharacteristic
1642C22⋊C4C2×D4×C4311yescharacteristic
1643C22⋊C4C2×D4×C4311yescharacteristic
1644C22⋊C4C2×D4×C4311yescharacteristic
1645C22⋊C4C2×D4×C4311yescharacteristic
1646C22⋊C4C2×D4×C4311yescharacteristic
1647C22⋊C4C2×D4×C4311yescharacteristic
1648C22⋊C4C2×D4×C4311yescharacteristic
1649C22⋊C4C2×D4×C4311yescharacteristic
1650C22⋊C4C2×D4×C4311yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—21no—
1654C42—21no—
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42C24×C4311yescharacteristic
1659C42C24×C4311yescharacteristic
1660C23—21no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—41no—
1665C23—41no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23C22×D4×C4311yescharacteristic
1670C23C22×D4×C4311yescharacteristic
1671C23C22×D4×C4311yescharacteristic
1672C23C22×D4×C4311yescharacteristic
1673C23C22×D4×C4311yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—41no—
1688Q8—42no—
1689Q8—42no—
1690Q8—42no—
1691Q8—42no—
1692Q8—81no—
1693Q8—81no—
1694Q8—81no—
1695Q8H(5,𝔽2)×C4312yes—
1696D4—24no—
1697D4—22no—
1698D4—22no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—42no—
1715D4—42no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4H(5,𝔽2)×C4312yes—
1723C2×C4—24no—
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—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4C22×D4×C4311yescharacteristic
1770C2×C4C22×D4×C4311yescharacteristic
1771C2×C4C22×D4×C4311yescharacteristic
1772C2×C4C22×D4×C4311yescharacteristic
1773C2×C4C22×D4×C4311yescharacteristic
1774C2×C4C22×D4×C4311yescharacteristic
1775C2×C4C22×D4×C4311yescharacteristic
1776C2×C4C22×D4×C4311yescharacteristic
1777C2×C4C22×D4×C4311yescharacteristic
1778C2×C4C25×C4311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—22no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—21no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—21no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—82no—
1811C22—84no—
1812C22C43×#57812yes—
1813C22C23×D4×C4311yescharacteristic
1814C4—21no—
1815C4—22no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—21no—
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4C2×H(5,𝔽2)×C4311yescharacteristic
1837C4C2×H(5,𝔽2)×C4311yescharacteristic
1838C2—22no—
1839C2—41no—
1840C2—41no—
1841C2—41no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2C43×#348411yescharacteristic
1847C2C2×C43×#57811yescharacteristic
1848C2C43×#358411yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C43×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3541C2semidirect
2. C43×#3489C2semidirect
3. C43×#3320C2semidirect
4. C43×#3315C2semidirect
5. C43×#3314C2semidirect
6. C43×#3313C2semidirect
7. C43×#3302C2semidirect
8. C43×#3300C2semidirect
9. C43×#3299C2semidirect
10. C43×#3297C2semidirect
11. D4×Q16×C43C2semidirect
12. C43×#3285C2semidirect
13. C43×#3283C2semidirect
14. C43×#3282C2semidirect
15. C43×#3270C2semidirect
16. C43×#3269C2semidirect
17. C43×#3269C2semidirect
18. C43×#3266C2semidirect
19. C43×#3225C2semidirect
20. C43×#3223C2semidirect
21. C43×#3203C2semidirect
22. C43×#3201C2semidirect
23. C43×#3190C2semidirect
24. C43×#3189C2semidirect
25. C43×#3124C2semidirect
26. C43×#3120C2semidirect
27. C43×#3013C2semidirect
28. C43×#3011C2semidirect
29. C43×#3002C2semidirect
30. C2×C43×#452C2semidirect
31. C43×#2977C2semidirect
34. C2×#137×C43C22semidirect
35. C2×#137×C43C22semidirect
38. C2×#135×C43C22semidirect
40. C22×Q16×C43C22semidirect
44. C43×#556C22semidirect
49. C43×#552C22semidirect
56. C43×#548C22semidirect
61. C43×#547C22semidirect
67. C43×#542C22semidirect
68. C43×#541C22semidirect
74. C43×#537C22semidirect
77. C43×#536C22semidirect
85. C43×#497C22semidirect
86. C43×#497C22semidirect
87. C43×#495C22semidirect
88. C43×#494C22semidirect
89. C43×#491C22semidirect
90. C43×#489C22semidirect
91. C43×#488C22semidirect
92. C43×#487C22semidirect
93. C43×#485C22semidirect
94. C43×#485C22semidirect
95. C43×#485C22semidirect
98. C43×#484C22semidirect
99. C43×#484C22semidirect
100. C43×#484C22semidirect
101. C43×#483C22semidirect
102. C43×#482C22semidirect
103. C43×#480C22semidirect
104. C43×#480C22semidirect
105. C43×#479C22semidirect
106. C43×#478C22semidirect
107. C43×#477C22semidirect
108. C43×#474C22semidirect
109. C43×#470C22semidirect
110. C43×#468C22semidirect
111. C43×#468C22semidirect
112. C43×#468C22semidirect
115. C43×#467C22semidirect
116. C43×#467C22semidirect
117. C43×#467C22semidirect
118. C43×#467C22semidirect
119. C43×#467C22semidirect
120. C43×#467C22semidirect
121. C43×#466C22semidirect
124. C43×#465C22semidirect
125. C43×#464C22semidirect
126. C43×#464C22semidirect
127. C43×#464C22semidirect
128. C43×#464C22semidirect
129. C43×#463C22semidirect
130. C43×#463C22semidirect
131. C43×#462C22semidirect
132. C43×#462C22semidirect
133. C43×#462C22semidirect
134. C43×#462C22semidirect
135. C43×#461C22semidirect
136. C43×#461C22semidirect
147. C43×#452C22semidirect
148. C43×#452C22semidirect
149. C43×#452C22semidirect
150. C43×#452C22semidirect
151. C43×#452C22semidirect
152. C43×#452C22semidirect
156. C43×#451C22semidirect
157. C43×#451C22semidirect
158. C43×#451C22semidirect
159. C43×#451C22semidirect
160. C43×#451C22semidirect
161. C43×#451C22semidirect
162. C43×#451C22semidirect
166. C43×#449C22semidirect
167. C43×#449C22semidirect
169. C43×#448C22semidirect
170. C43×#448C22semidirect
171. C43×#448C22semidirect
173. C43×#441C22semidirect
174. C43×#440C22semidirect
175. C43×#440C22semidirect
176. C43×#440C22semidirect
177. C4×Q16×C43C22semidirect
178. C4×Q16×C43C22semidirect
179. C4×SD16×C43C22semidirect
180. C4×D8×C43C22semidirect
183. C43×#435C22semidirect
184. C43×#435C22semidirect
187. C8×D4×C43C22semidirect
188. C8×D4×C43C22semidirect
189. C43×#433C22semidirect
190. C43×#433C22semidirect
191. C43×#419C22semidirect
192. C43×#417C22semidirect
195. C43×#416C22semidirect
197. C2×#103×C43C22semidirect
199. C43×#408C22semidirect
200. C43×#408C22semidirect
862. #61642C43direct (N × H)
914. #3541C2×C43semidirect
915. #3489C2×C43semidirect
916. #3320C2×C43semidirect
917. #3315C2×C43semidirect
918. #3314C2×C43semidirect
919. #3313C2×C43semidirect
920. #3302C2×C43semidirect
921. #3300C2×C43semidirect
922. #3299C2×C43semidirect
923. #3297C2×C43semidirect
924. D4×Q16C2×C43semidirect
925. #3285C2×C43semidirect
926. #3283C2×C43semidirect
927. #3282C2×C43semidirect
928. #3270C2×C43semidirect
929. #3269C2×C43semidirect
930. #3269C2×C43semidirect
931. #3266C2×C43semidirect
932. #3225C2×C43semidirect
933. #3223C2×C43semidirect
934. #3203C2×C43semidirect
935. #3201C2×C43semidirect
936. #3190C2×C43semidirect
937. #3189C2×C43semidirect
938. #3124C2×C43semidirect
939. #3120C2×C43semidirect
940. #3013C2×C43semidirect
941. #3011C2×C43semidirect
942. #3002C2×C43semidirect
943. C2×#452C2×C43semidirect
944. #2977C2×C43semidirect
958. C2×#137C22×C43semidirect
959. C2×#137C22×C43semidirect
962. C2×#135C22×C43semidirect
964. C22×Q16C22×C43semidirect
968. #556C22×C43semidirect
973. #552C22×C43semidirect
980. #548C22×C43semidirect
985. #547C22×C43semidirect
991. #542C22×C43semidirect
992. #541C22×C43semidirect
998. #537C22×C43semidirect
1001. #536C22×C43semidirect
1009. #497C22×C43semidirect
1010. #497C22×C43semidirect
1011. #495C22×C43semidirect
1012. #494C22×C43semidirect
1013. #491C22×C43semidirect
1014. #489C22×C43semidirect
1015. #488C22×C43semidirect
1016. #487C22×C43semidirect
1017. #485C22×C43semidirect
1018. #485C22×C43semidirect
1019. #485C22×C43semidirect
1022. #484C22×C43semidirect
1023. #484C22×C43semidirect
1024. #484C22×C43semidirect
1025. #483C22×C43semidirect
1026. #482C22×C43semidirect
1027. #480C22×C43semidirect
1028. #480C22×C43semidirect
1029. #479C22×C43semidirect
1030. #478C22×C43semidirect
1031. #477C22×C43semidirect
1032. #474C22×C43semidirect
1033. #470C22×C43semidirect
1034. #468C22×C43semidirect
1035. #468C22×C43semidirect
1036. #468C22×C43semidirect
1039. #467C22×C43semidirect
1040. #467C22×C43semidirect
1041. #467C22×C43semidirect
1042. #467C22×C43semidirect
1043. #467C22×C43semidirect
1044. #467C22×C43semidirect
1045. #466C22×C43semidirect
1048. #465C22×C43semidirect
1049. #464C22×C43semidirect
1050. #464C22×C43semidirect
1051. #464C22×C43semidirect
1052. #464C22×C43semidirect
1053. #463C22×C43semidirect
1054. #463C22×C43semidirect
1055. #462C22×C43semidirect
1056. #462C22×C43semidirect
1057. #462C22×C43semidirect
1058. #462C22×C43semidirect
1059. #461C22×C43semidirect
1060. #461C22×C43semidirect
1071. #452C22×C43semidirect
1072. #452C22×C43semidirect
1073. #452C22×C43semidirect
1074. #452C22×C43semidirect
1075. #452C22×C43semidirect
1076. #452C22×C43semidirect
1080. #451C22×C43semidirect
1081. #451C22×C43semidirect
1082. #451C22×C43semidirect
1083. #451C22×C43semidirect
1084. #451C22×C43semidirect
1085. #451C22×C43semidirect
1086. #451C22×C43semidirect
1090. #449C22×C43semidirect
1091. #449C22×C43semidirect
1093. #448C22×C43semidirect
1094. #448C22×C43semidirect
1095. #448C22×C43semidirect
1097. #441C22×C43semidirect
1098. #440C22×C43semidirect
1099. #440C22×C43semidirect
1100. #440C22×C43semidirect
1101. C4×Q16C22×C43semidirect
1102. C4×Q16C22×C43semidirect
1103. C4×SD16C22×C43semidirect
1104. C4×D8C22×C43semidirect
1107. #435C22×C43semidirect
1108. #435C22×C43semidirect
1111. C8×D4C22×C43semidirect
1112. C8×D4C22×C43semidirect
1113. #433C22×C43semidirect
1114. #433C22×C43semidirect
1115. #419C22×C43semidirect
1116. #417C22×C43semidirect
1119. #416C22×C43semidirect
1121. C2×#103C22×C43semidirect
1123. #408C22×C43semidirect
1124. #408C22×C43semidirect
1127. C43#61642direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35412
C43×#34892
C43×#33202
C43×#33152
C43×#33142
C43×#33132
C43×#33022
C43×#33002
C43×#32992
C43×#32972
D4×Q16×C432
C43×#32852
C43×#32832
C43×#32822
C43×#32702
C43×#32692
C43×#32662
C43×#32252
C43×#32232
C43×#32032
C43×#32012
C43×#31902
C43×#31892
C43×#31242
C43×#31202
C43×#30132
C43×#30112
C43×#30022
C2×C43×#4522
C43×#29772
#6164243