Finite Group Databasebeta

← #33967921

Subgroups — #33967921

Order 18688.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623545C211yesmaximal, characteristic, complemented
2#22623418C211yesmaximal, characteristic, complemented
3#22622952C211yesmaximal, characteristic, complemented
4#22622849C211yesmaximal, characteristic, complemented
5#22622663C211yesmaximal, characteristic, complemented
6#22622652C211yesmaximal, characteristic, complemented
7#22622372C211yesmaximal, characteristic, complemented
8#22622276C211yesmaximal, characteristic, complemented
9#22621955C211yesmaximal, characteristic, complemented
10#22621946C211yesmaximal, characteristic, complemented
11#22621925C211yesmaximal, characteristic, complemented
12#22621916C211yesmaximal, characteristic, complemented
13#22621794C211yesmaximal, characteristic, complemented
14#22621742C211yesmaximal, characteristic, complemented
15#22621624C211yesmaximal, characteristic, complemented
16#22621433C211yesmaximal, characteristic, complemented
17#22621431C211yesmaximal, characteristic, complemented
18#22620644C211yesmaximal, characteristic, complemented
19#22620631C211yesmaximal, characteristic, complemented
20#22620622C211yesmaximal, characteristic, complemented
21#22620077C211yesmaximal, characteristic, complemented
22#22620074C211yesmaximal, characteristic, complemented
23#22620072C211yesmaximal, characteristic, complemented
24#22620055C211yesmaximal, characteristic, complemented
25#22620050C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618738C211yesmaximal, characteristic, complemented
29C2×#17988686C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3343C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556619C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36#17989314C2211yescharacteristic, complemented
37#17989309C2211yescharacteristic, complemented
38#17989304—21no—
39#17989276C2211yescharacteristic, complemented
40#17989270—21no—
41#17989269—21no—
42#17989258C2211yescharacteristic
43#17989252C2211yescharacteristic
44#17989250C2211yescharacteristic, complemented
45#17989247—21no—
46#17989247C2211yescharacteristic, complemented
47#17989246C2211yescharacteristic, complemented
48#17989238C2211yescharacteristic
49#17989238C2211yescharacteristic
50#17989238C2211yescharacteristic, complemented
51#17989235—21no—
52#17989229—21no—
53#17989229—21no—
54#17989225—21no—
55D4×D292C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989221C2211yescharacteristic
58#17989143—21no—
59#17989139C2211yescharacteristic, complemented
60#17989138C2211yescharacteristic
61#17989132C2211yescharacteristic
62#17989132C2211yescharacteristic
63#17989123C2211yescharacteristic, complemented
64#17989122C2211yescharacteristic, complemented
65#17989120—21no—
66#17989114—21no—
67#17989100—21no—
68#17989095—21no—
69#17989095—21no—
70#17989055—21no—
71#17989055C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic
73C2×#14556556C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C2×#14556553C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988953C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988922C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988911C2211yescharacteristic, complemented
92#17988902C2211yescharacteristic, complemented
93#17988902C2211yescharacteristic, complemented
94#17988902C2211yescharacteristic, complemented
95#17988900C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988886C2211yescharacteristic
98#17988886C2211yescharacteristic, complemented
99#17988884C2211yescharacteristic
100#17988881C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988879C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic
105#17988866C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988833C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988824C2211yescharacteristic, complemented
112#17988823C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988818C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic
118#17988805C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic
120#17988802C2211yescharacteristic, complemented
121#17988791C2211yescharacteristic
122#17988791C2211yescharacteristic, complemented
123#17988788C2211yescharacteristic, complemented
124#17988787C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988740C2211yescharacteristic
130#17988739C2211yescharacteristic
131#17988737C2211yescharacteristic
132#17988737C2211yescharacteristic
133#17988734C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988728C2211yescharacteristic, complemented
136#17988727C2211yescharacteristic, complemented
137#17988727C2211yescharacteristic, complemented
138#17988725C2211yescharacteristic, complemented
139#17988723C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988690C2211yescharacteristic
148#17988690C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic
151#17988688C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic
154#17988686C2211yescharacteristic
155#17988686C2211yescharacteristic
156#17988686C2211yescharacteristic
157#17988686C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic, complemented
159#17988686C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic
164#17988684C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic
167#17988674C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic
169#17988669C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic
180#17988586C2211yescharacteristic, complemented
181C2×#14556514C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#477×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027D411yescharacteristic
212#41×D73—48no—
213C22×Dic146C2311yescharacteristic
214C2×Q8×D73—21no—
215C2×Q8×D73C2311yescharacteristic
216C22×D292C2311yescharacteristic
217C22×D292C2311yescharacteristic
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73C2311yescharacteristic
222C22×C4×D73—21no—
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225#14556619—24no—
226C2×#11924017—24no—
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924017C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238SD16×D73—24no—
239C2×D584C2311yescharacteristic
240C2×D584C2311yescharacteristic
241C2×D584C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247#14556590—21no—
248#14556590—21no—
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556590C2311yescharacteristic
252#14556589C2311yescharacteristic
253#14556588C2311yescharacteristic
254#14556587C2311yescharacteristic
255#14556587C2311yescharacteristic
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556585—21no—
260#14556584—21no—
261#14556583—21no—
262#14556582C2311yescharacteristic
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556580—21no—
267#14556580C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556575—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556573—21no—
282#14556571C2311yescharacteristic
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556568—21no—
295#14556567—21no—
296#14556566—21no—
297#14556566—21no—
298#14556566C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556565—21no—
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556561—21no—
314#14556561—21no—
315#14556561—21no—
316#14556561—21no—
317#14556559—21no—
318#14556559—21no—
319Q8×Dic73C2311yescharacteristic
320C4×Dic146—21no—
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556—21no—
325#14556556—21no—
326#14556556—21no—
327#14556556—21no—
328#14556556D411yescharacteristic
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292C2311yescharacteristic
335D4×Dic73D411yescharacteristic
336D4×Dic73C2311yescharacteristic
337#14556553—21no—
338#14556553—21no—
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353C4×C22⋊D73—21no—
354C4×C22⋊D73C2311yescharacteristic
355C4×C22⋊D73C2311yescharacteristic
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551D411yescharacteristic
365#14556551D411yescharacteristic
366#14556549—21no—
367#14556549—21no—
368#14556549D411yescharacteristic
369#14556548—21no—
370#14556548—21no—
371#14556548—21no—
372#14556547—21no—
373#14556547D411yescharacteristic
374#14556547D411yescharacteristic
375C2×#11924007—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C2×#11924005—21no—
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73C2311yescharacteristic
384C2×C4×Dic73C2311yescharacteristic
385C42×D73—21no—
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73—21no—
446#125×C73C2311yescharacteristic
447#123×C73—21no—
448#123×C73—21no—
449#123×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485#11924029—44no—
486#11924028—22no—
487#11924028—41no—
488#11924028—44no—
489#11924028—44no—
490#11924028—44no—
491#11924028—44no—
492#11924027—24no—
493#11924027—44no—
494#11924027—44no—
495C2×Dic146—22no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146—41no—
502C2×Dic146C2×D411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505Q8×D73—22no—
506Q8×D73—41no—
507Q8×D73—44no—
508C2×D292—22no—
509C2×D292—22no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—41no—
518C2×D292—41no—
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73C2×D411yescharacteristic
533C2×C22⋊D73C2×D411yescharacteristic
534D4×D73—22no—
535D4×D73—41no—
536D4×D73—44no—
537D4×D73—44no—
538D4×D73—44no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73C2×D411yescharacteristic
542C22×Dic73C2×D411yescharacteristic
543C22×Dic73C2×D411yescharacteristic
544C22×Dic73C2×D411yescharacteristic
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—44no—
560C2×C4×D73—44no—
561C2×C4×D73—44no—
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2411yescharacteristic
565#11924017—22no—
566#11924017—22no—
567#11924017—22no—
568#11924017—22no—
569#11924017—41no—
570#11924017#4114yescomplemented
571#11924016—22no—
572#11924016—41no—
573#11924015—22no—
574#11924015—41no—
575#11924015—41no—
576D584—22no—
577D584—22no—
578D584—41no—
579#11924013—41no—
580#11924012—41no—
581C2×#10596831—41no—
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C8×D73—22no—
587C8×D73—41no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73C2×D411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656#41×C73—44no—
657C2×Q8×C73—21no—
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73C2×D411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73C2411yescharacteristic
668C22×C4×C73C2411yescharacteristic
669SD16×C73—22no—
670M16×C73—22no—
671C2×C8×C73—22no—
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73C2×D411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73C2×D411yescharacteristic
699C22⋊C4×C73C2×D411yescharacteristic
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73C22×D411yescharacteristic
705C23×C73C22×D411yescharacteristic
706C22×D73—21no—
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—42no—
711C22×D73—42no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—42no—
723D4×C73—22no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—42no—
727D4×C73—42no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—42no—
740C2×C4×C73—42no—
741C2×C4×C73—42no—
742C2×C4×C73—42no—
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C2511yescharacteristic
748C22⋊D73—22no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73AGL(1,ℤ/8)14yescomplemented
759C2×Dic73—22no—
760C2×Dic73—21no—
761C2×Dic73—22no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—41no—
766C2×Dic73—41no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—21no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—42no—
784D292—42no—
785D292—42no—
786D292—42no—
787D292—42no—
788D292—42no—
789D292—81no—
790D292C2×#4112yes—
791C4×D73—22no—
792C4×D73—21no—
793C4×D73—21no—
794C4×D73—41no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—42no—
809Dic146—21no—
810Dic146—22no—
811Dic146—21no—
812Dic146—21no—
813Dic146—42no—
814Dic146—42no—
815Dic146—42no—
816Dic146—42no—
817Dic146—42no—
818Dic146C2×#4112yescomplemented
819C8×C73—21no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73C2×#4112yescomplemented
823#10596831—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73C2×AGL(1,ℤ/8)12yes—
836C22×C73C23×D411yescharacteristic
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—22no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—84no—
852C2×D73—84no—
853C2×D73—84no—
854C2×D73C2×AGL(1,ℤ/8)12yes—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C22×#4111yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—22no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73C2×AGL(1,ℤ/8)12yes—
879#61452—731nomaximal, Sylow
880C2×C73—22no—
881C2×C73—41no—
882C2×C73—81no—
883C2×C73D4×#4111yescharacteristic
884C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
885C2×C73#358611yescharacteristic
886D73—22no—
887D73—42no—
888D73—81no—
889D73—81no—
890D73—81no—
891#3482—731no—
892D4×#41—731no—
893#3397—731no—
894#3386—731no—
895#3368—731no—
896#3367—731no—
897#3343—731no—
898#3343D7311yescharacteristic, complemented
899#3334—731no—
900#3310—731no—
901#3310—731no—
902#3308—731no—
903#3308—731no—
904#3298—731no—
905#3294—731no—
906D4×SD16—731no—
907#3265—731no—
908#3265—731no—
909#3182—731no—
910#3180—731no—
911#3180—731no—
912#3115—731no—
913#3114—731no—
914#3114—731no—
915#3112—731no—
916#3112—731no—
917#3110—731no—
918#2970—731no—
919C4×AGL(1,ℤ/8)—731no—
920C2×#440—731no—
921C2×#440—731no—
922C73#6145211yescharacteristic, complemented, Sylow
923C22×#41—1461no—
924C2×AGL(1,ℤ/8)—731no—
925C22×SD16—731no—
926C22×SD16—731no—
927#557—731no—
928#556—731no—
929#556—1461no—
930#552—731no—
931#552—1461no—
932#552—1461no—
933#552C2×D7311yescharacteristic, complemented
934#550—731no—
935D4×Q8—731no—
936D4×Q8—731no—
937#548—731no—
938#548—731no—
939#548—1461no—
940#547—731no—
941#547—731no—
942#547—731no—
943#547—1461no—
944#547C2×D7311yescharacteristic
945#546—1461no—
946#546—1461no—
947#546—1461no—
948D42—731no—
949D42—731no—
950D42—731no—
951#533—731no—
952#533—1461no—
953#532—731no—
954#532—731no—
955#532—731no—
956#529—731no—
957#529—731no—
958#529—1461no—
959#529—1461no—
960#525—1461no—
961#525—1461no—
962#525—1461no—
963C4×#41—731no—
964C4×#41—731no—
965C4×#41—1461no—
966C2×C4×Q8—731no—
967C2×C4×Q8—731no—
968C2×C4×D4—731no—
969C2×C4×D4—731no—
970C2×C4×D4—731no—
971#501—731no—
972#501C2×D7311yescharacteristic, complemented
973#500—731no—
974#496—731no—
975#496—731no—
976#492—731no—
977#490—731no—
978#490—731no—
979#489—731no—
980#489—731no—
981#487—731no—
982#486—731no—
983#484—731no—
984#484C2×D7311yescharacteristic, complemented
985#483—731no—
986#483C2×D7311yescharacteristic, complemented
987#482—731no—
988#482C2×D7311yescharacteristic, complemented
989#480—731no—
990#480—731no—
991#480—731no—
992#480—731no—
993#480—731no—
994#480C2×D7311yescharacteristic, complemented
995#478—731no—
996#478—731no—
997#478—731no—
998#478C2×D7311yescharacteristic, complemented
999#477—731no—
1000#477—731no—
1001#477—731no—
1002#477C2×D7311yescharacteristic, complemented
1003#475—731no—
1004#474—731no—
1005#474—731no—
1006#474—731no—
1007#468—731no—
1008#468—731no—
1009#468—731no—
1010#468C2×D7311yescharacteristic, complemented
1011#466—731no—
1012#466—731no—
1013#466—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#465C2×D7311yescharacteristic, complemented
1019#463—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#461—731no—
1024#461—731no—
1025#460—731no—
1026#460—731no—
1027#460—731no—
1028#460—731no—
1029#460—731no—
1030#459—731no—
1031#450—731no—
1032#450—731no—
1033#450—731no—
1034#450—731no—
1035#449—731no—
1036#449—731no—
1037#448—731no—
1038#448—731no—
1039#448—731no—
1040#448—731no—
1041#447—731no—
1042#447—731no—
1043#446—731no—
1044#446—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#442—731no—
1049#440—731no—
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440—731no—
1061#440—731no—
1062#440—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068#440C2×D7311yescharacteristic, complemented
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076#435C2×D7311yescharacteristic, complemented
1077C8×D4—731no—
1078C8×D4—731no—
1079#432—731no—
1080#432—731no—
1081#432—731no—
1082#428C2×D7311yescharacteristic, complemented
1083C2×#107—731no—
1084C2×#107C2×D7311yescharacteristic, complemented
1085#418—731no—
1086#417—731no—
1087C2×#103—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#102—731no—
1091C4×M16—731no—
1092C2×#97—731no—
1093C2×#97—731no—
1094C2×#41—21no—
1095C2×#41—2928no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—1461no—
1099C2×#41—1461no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C22×Q8—731no—
1106C22×Q8—731no—
1107C22×Q8—1461no—
1108C22×D4—731no—
1109C22×D4—731no—
1110C22×D4—731no—
1111C22×D4—1461no—
1112C22×D4—1461no—
1113C22×D4—1461no—
1114C23×C4—1461no—
1115C23×C4—1461no—
1116C23×C4—1461no—
1117AGL(1,ℤ/8)—1464no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—1464no—
1130C2×SD16—1464no—
1131C2×SD16C22×D7311yescharacteristic
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×M16—731no—
1137C2×M16C22×D7311yescharacteristic
1138C22×C8—731no—
1139C22×C8—731no—
1140C22×C8—731no—
1141C22×C8C22×D7311yescharacteristic
1142C4⋊Q8—731no—
1143C4⋊Q8—731no—
1144C4⋊Q8—731no—
1145C4⋊Q8—731no—
1146C4⋊Q8—1461no—
1147C4⋊Q8—1461no—
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#126—21no—
1153#126—1461no—
1154#126—1461no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#125—21no—
1159#125—731no—
1160#125—1461no—
1161#125—1461no—
1162#125—1461no—
1163#125—1461no—
1164#125C22×D7311yescharacteristic
1165#124—731no—
1166#124—731no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184C22⋊Q8—21no—
1185C22⋊Q8—731no—
1186C22⋊Q8—731no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8C22×D7311yescharacteristic
1200C22⋊Q8C22×D7311yescharacteristic
1201#121—731no—
1202#121—731no—
1203#121—731no—
1204#121—731no—
1205#121—731no—
1206#121—731no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121C22×D7311yescharacteristic
1219#121C22×D7311yescharacteristic
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223#120—1461no—
1224#120—1461no—
1225#120—1461no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4C22×D7311yescharacteristic
1275C4×D4C22×D7311yescharacteristic
1276#117—21no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117C22×D7311yescharacteristic
1287C2×C4⋊C4—731no—
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—1461no—
1290C2×C4⋊C4—1461no—
1291C2×C4⋊C4C22×D7311yescharacteristic
1292C2×C4⋊C4C22×D7311yescharacteristic
1293C2×C4⋊C4C22×D7311yescharacteristic
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C42—731no—
1298C2×C42—731no—
1299C2×C42—731no—
1300C2×C42—1461no—
1301C2×C42—1461no—
1302C2×C42—1461no—
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107—731no—
1307#107—731no—
1308#107—731no—
1309#107C22×D7311yescharacteristic
1310#107C22×D7311yescharacteristic
1311#107C22×D7311yescharacteristic
1312#107C22×D7311yescharacteristic
1313#107C22×D7311yescharacteristic
1314#107C22×D7311yescharacteristic
1315#106—731no—
1316#106C22×D7311yescharacteristic
1317#106C22×D7311yescharacteristic
1318#106C22×D7311yescharacteristic
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8C22×D7311yescharacteristic
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#103C22×D7311yescharacteristic
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357C22⋊C8—731no—
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8C22×D7311yescharacteristic
1362C22⋊C8C22×D7311yescharacteristic
1363#97—731no—
1364#97—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369#97—731no—
1370#97C22×D7311yescharacteristic
1371C4×C8—731no—
1372C4×C8—731no—
1373C24—1461no—
1374C24—1461no—
1375C24—1461no—
1376#41—44no—
1377#41—2921no—
1378#41—2924no—
1379#41—2924no—
1380#41—2924no—
1381#41—2924no—
1382#41—2924no—
1383#41—2924no—
1384#41—2924no—
1385#41—1462no—
1386#41—1464no—
1387C2×Q8—21no—
1388C2×Q8—2921no—
1389C2×Q8—2924no—
1390C2×Q8—2921no—
1391C2×Q8—731no—
1392C2×Q8—731no—
1393C2×Q8—731no—
1394C2×Q8—1462no—
1395C2×Q8—1461no—
1396C2×Q8—1461no—
1397C2×Q8—1461no—
1398C2×Q8—1461no—
1399C2×Q8—1462no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—2921no—
1405C2×D4—2921no—
1406C2×D4—2924no—
1407C2×D4—2924no—
1408C2×D4—2924no—
1409C2×D4—2921no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1462no—
1420C2×D4—1462no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1462no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4D4×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—2924no—
1442C22×C4—2924no—
1443C22×C4—2924no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4C23×D7311yescharacteristic
1468C22×C4C23×D7311yescharacteristic
1469SD16—22no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—734no—
1475SD16—1462no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479SD16—1462no—
1480SD16—1462no—
1481D8—2921no—
1482D8—2921no—
1483D8—1462no—
1484D8—1462no—
1485M16—22no—
1486M16—2921no—
1487C2×C8—22no—
1488C2×C8—2921no—
1489C2×C8—2921no—
1490C2×C8—731no—
1491C2×C8—731no—
1492C2×C8—731no—
1493C2×C8—731no—
1494C2×C8—1462no—
1495C2×C8C23×D7311yescharacteristic
1496C2×C8C23×D7311yescharacteristic
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4D4×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C4⋊C4C23×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4D4×D7311yescharacteristic
1574C22⋊C4D4×D7311yescharacteristic
1575C42—21no—
1576C42—21no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—731no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42—1461no—
1591C42—1461no—
1592C42—1461no—
1593C42C23×D7311yescharacteristic
1594C23—21no—
1595C23—2922no—
1596C23—2922no—
1597C23—2922no—
1598C23—2922no—
1599C23—2922no—
1600C23—2922no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—731no—
1605C23—1461no—
1606C23—1461no—
1607C23—1461no—
1608C23—1461no—
1609C23C2×D4×D7311yescharacteristic
1610C23C2×D4×D7311yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—42no—
1614Q8—2922no—
1615Q8—2922no—
1616Q8—2922no—
1617Q8—2922no—
1618Q8—2922no—
1619Q8—732no—
1620Q8—1462no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—42no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2922no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—734no—
1646D4—732no—
1647D4—1462no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651D4—1461no—
1652D4—1461no—
1653D4—1461no—
1654D4—1461no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2921no—
1673C2×C4—2922no—
1674C2×C4—2922no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2922no—
1686C2×C4—2922no—
1687C2×C4—2921no—
1688C2×C4—2921no—
1689C2×C4—731no—
1690C2×C4—731no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—1462no—
1697C2×C4—1461no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1462no—
1701C2×C4—1461no—
1702C2×C4—1462no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4C2×D4×D7311yescharacteristic
1706C2×C4C2×D4×D7311yescharacteristic
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C24×D7311yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—1461no—
1714C8—1461no—
1715C8—1461no—
1716C8—1461no—
1717C8#41×D7312yescomplemented
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—5844no—
1738C22—5844no—
1739C22—5844no—
1740C22—732no—
1741C22—1462no—
1742C22—1461no—
1743C22—1461no—
1744C22AGL(1,ℤ/8)×D7312yes—
1745C22C22×D4×D7311yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—2921no—
1758C4—2921no—
1759C4—2921no—
1760C4—732no—
1761C4—1461no—
1762C4—1461no—
1763C4—1462no—
1764C4—1461no—
1765C4—1461no—
1766C4—1461no—
1767C4—1461no—
1768C4C2×#41×D7311yescharacteristic
1769C4#1798942411yescharacteristic
1770C2—22no—
1771C2—41no—
1772C2—81no—
1773C2—2922no—
1774C2—5841no—
1775C2—5841no—
1776C2—5841no—
1777C2—1462no—
1778C2#2262341811yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1780C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3343C2
socleC22×C73C23×D4
hypercenter#3343D73
hypocenterC73#61452
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #22623545C2semidirect
2. #22623418C2semidirect
3. #22622952C2semidirect
4. #22622849C2semidirect
5. #22622663C2semidirect
6. #22622652C2semidirect
7. #22622372C2semidirect
8. #22622276C2semidirect
9. #22621955C2semidirect
10. #22621946C2semidirect
11. #22621925C2semidirect
12. #22621916C2semidirect
13. #22621794C2semidirect
14. #22621742C2semidirect
15. #22621624C2semidirect
16. #22621433C2semidirect
17. #22621431C2semidirect
18. #22620644C2semidirect
19. #22620631C2semidirect
20. #22620622C2semidirect
21. #22620077C2semidirect
22. #22620074C2semidirect
23. #22620072C2semidirect
24. #22620055C2semidirect
25. #22620050C2semidirect
26. #22620027C2semidirect
27. #22618941C2semidirect
28. #22618738C2semidirect
29. C2×#17988686C2semidirect
30. #440×D73C2semidirect
31. C73×#3343C2semidirect
36. #17989314C22semidirect
37. #17989309C22semidirect
39. #17989276C22semidirect
44. #17989250C22semidirect
46. #17989247C22semidirect
47. #17989246C22semidirect
50. #17989238C22semidirect
59. #17989139C22semidirect
63. #17989123C22semidirect
64. #17989122C22semidirect
71. #17989055C22semidirect
73. C2×#14556556C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988976C22semidirect
81. #17988973C22semidirect
82. #17988958C22semidirect
83. #17988953C22semidirect
84. #17988950C22semidirect
85. #17988949C22semidirect
86. #17988948C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988922C22semidirect
90. #17988919C22semidirect
91. #17988911C22semidirect
92. #17988902C22semidirect
93. #17988902C22semidirect
94. #17988902C22semidirect
95. #17988900C22semidirect
96. #17988900C22semidirect
98. #17988886C22semidirect
100. #17988881C22semidirect
101. #17988881C22semidirect
102. #17988879C22semidirect
103. #17988871C22semidirect
105. #17988866C22semidirect
106. #17988866C22semidirect
107. #17988835C22semidirect
108. #17988833C22semidirect
109. #17988831C22semidirect
110. #17988824C22semidirect
111. #17988824C22semidirect
112. #17988823C22semidirect
113. #17988821C22semidirect
114. #17988818C22semidirect
115. #17988817C22semidirect
116. #17988817C22semidirect
118. #17988805C22semidirect
120. #17988802C22semidirect
122. #17988791C22semidirect
123. #17988788C22semidirect
124. #17988787C22semidirect
125. #17988786C22semidirect
126. #17988786C22semidirect
127. #17988786C22semidirect
128. #17988781C22semidirect
133. #17988734C22semidirect
134. #17988730C22semidirect
135. #17988728C22semidirect
136. #17988727C22semidirect
137. #17988727C22semidirect
138. #17988725C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
144. #17988698C22semidirect
145. #17988698C22semidirect
146. #17988696C22semidirect
148. #17988690C22semidirect
149. #17988690C22semidirect
151. #17988688C22semidirect
152. #17988687C22semidirect
157. #17988686C22semidirect
158. #17988686C22semidirect
159. #17988686C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
164. #17988684C22semidirect
165. #17988684C22semidirect
167. #17988674C22semidirect
169. #17988669C22semidirect
170. #17988661C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #107×D73C22semidirect
180. #17988586C22semidirect
181. C2×#14556514C22semidirect
182. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #552×C73C22semidirect
190. #501×C73C22semidirect
191. #484×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #477×C73C22semidirect
197. #468×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#107×C73C22semidirect
570. #11924017#41semidirect
758. C22⋊D73AGL(1,ℤ/8)semidirect
818. Dic146C2×#41semidirect
822. C8×C73C2×#41semidirect
898. #3343D73semidirect
922. C73#61452semidirect
933. #552C2×D73semidirect
972. #501C2×D73semidirect
984. #484C2×D73semidirect
986. #483C2×D73semidirect
988. #482C2×D73semidirect
994. #480C2×D73semidirect
998. #478C2×D73semidirect
1002. #477C2×D73semidirect
1010. #468C2×D73semidirect
1018. #465C2×D73semidirect
1068. #440C2×D73semidirect
1076. #435C2×D73semidirect
1082. #428C2×D73semidirect
1084. C2×#107C2×D73semidirect
1717. C8#41×D73semidirect

Maximal subgroups

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

subgroupindex
#226235452
#226234182
#226229522
#226228492
#226226632
#226226522
#226223722
#226222762
#226219552
#226219462
#226219252
#226219162
#226217942
#226217422
#226216242
#226214332
#226214312
#226206442
#226206312
#226206222
#226200772
#226200742
#226200722
#226200552
#226200502
#226200272
#226189412
#226187382
C2×#179886862
#440×D732
C73×#33432
#6145273