Finite Group Databasebeta

← #33978680

Subgroups — #33978680

Order 18688.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623804C211yesmaximal, characteristic, complemented
2#22623542C211yesmaximal, characteristic, complemented
3#22623021C211yesmaximal, characteristic, complemented
4#22623015C211yesmaximal, characteristic, complemented
5#22622684C211yesmaximal, characteristic, complemented
6#22622011C211yesmaximal, characteristic, complemented
7#22622009C211yesmaximal, characteristic, complemented
8#22621936C211yesmaximal, characteristic, complemented
9#22621934C211yesmaximal, characteristic, complemented
10#22621780C211yesmaximal, characteristic, complemented
11#22621778C211yesmaximal, characteristic, complemented
12#22621617C211yesmaximal, characteristic, complemented
13#22621611C211yesmaximal, characteristic, complemented
14#22621477C211yesmaximal, characteristic, complemented
15#22621473C211yesmaximal, characteristic, complemented
16#22621417C211yesmaximal, characteristic, complemented
17#22621413C211yesmaximal, characteristic, complemented
18#22621292C211yesmaximal, characteristic, complemented
19#22621267C211yesmaximal, characteristic, complemented
20#22621240C211yesmaximal, characteristic, complemented
21#22620950C211yesmaximal, characteristic, complemented
22#22620927C211yesmaximal, characteristic, complemented
23#22620908C211yesmaximal, characteristic, complemented
24#22620078C211yesmaximal, characteristic, complemented
25#22620028C211yesmaximal, characteristic, complemented
26#22619929C211yesmaximal, characteristic, complemented
27#22619393C211yesmaximal, characteristic, complemented
28#22619383C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619055C211yesmaximal, characteristic, complemented
31C73×#3370C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic, complemented
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36C2×D8×D73C2211yescharacteristic
37C2×D8×D73C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989322C2211yescharacteristic, complemented
40#17989319—21no—
41#17989298C2211yescharacteristic
42#17989290C2211yescharacteristic
43#17989290C2211yescharacteristic, complemented
44#17989285—21no—
45#17989264—21no—
46#17989264—21no—
47#17989259C2211yescharacteristic, complemented
48#17989258—21no—
49#17989257C2211yescharacteristic, complemented
50#17989232C2211yescharacteristic
51#17989232C2211yescharacteristic
52#17989232C2211yescharacteristic, complemented
53#17989232C2211yescharacteristic, complemented
54#17989230C2211yescharacteristic
55#17989230C2211yescharacteristic, complemented
56#17989229—21no—
57#17989229—21no—
58#17989228—21no—
59D4×D292C2211yescharacteristic
60#17989189—21no—
61#17989189—21no—
62#17989155—21no—
63#17989141C2211yescharacteristic, complemented
64#17989138C2211yescharacteristic, complemented
65#17989136C2211yescharacteristic, complemented
66#17989136C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic, complemented
68#17989134C2211yescharacteristic, complemented
69#127×D73C2211yescharacteristic, complemented
70#17989123—21no—
71#17989122C2211yescharacteristic
72#17989122C2211yescharacteristic, complemented
73#17989100—21no—
74#17989100—21no—
75#17989059—21no—
76C4×#11924029C2211yescharacteristic
77C4×#11924027C2211yescharacteristic, complemented
78C2×#14556553—21no—
79C4×D4×D73C2211yescharacteristic
80C4×D4×D73C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic, complemented
84#17988974C2211yescharacteristic, complemented
85#17988971C2211yescharacteristic, complemented
86#17988969C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988944C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988902C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988891C2211yescharacteristic, complemented
97#17988884C2211yescharacteristic, complemented
98#17988871C2211yescharacteristic, complemented
99#17988866C2211yescharacteristic, complemented
100#17988866C2211yescharacteristic, complemented
101#17988865C2211yescharacteristic, complemented
102#17988864C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988834C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988829C2211yescharacteristic, complemented
108#17988827C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic
114#17988817C2211yescharacteristic
115#17988810C2211yescharacteristic, complemented
116#17988810C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988806C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988796C2211yescharacteristic, complemented
126#17988791C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988783C2211yescharacteristic, complemented
132#17988783C2211yescharacteristic, complemented
133#17988782C2211yescharacteristic
134#17988782C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic
140#17988780C2211yescharacteristic
141#17988779C2211yescharacteristic, complemented
142#17988752C2211yescharacteristic, complemented
143#17988750C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic
145#17988739C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic
148#17988735C2211yescharacteristic, complemented
149#17988735C2211yescharacteristic, complemented
150#17988735C2211yescharacteristic, complemented
151#17988733C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic, complemented
154#17988733C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic
157#17988722C2211yescharacteristic
158#17988722C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988718C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167C4×D584C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic
173#17988657C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175#17988652C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988642C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C4⋊C8×D73C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#489×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#474×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029D411yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C2×#11924027C2311yescharacteristic
212C22×D292—21no—
213C2×D4×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C22×C4×D73—21no—
220C22×C4×D73—21no—
221#14556618—42no—
222#14556615—42no—
223#14556612—42no—
224#14556610—42no—
225C2×Dic292C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246D8×D73—42no—
247D8×D73—42no—
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254#14556590C2311yescharacteristic
255#14556589C2311yescharacteristic
256#14556588—21no—
257#14556588C2311yescharacteristic
258#14556588C2311yescharacteristic
259#14556587—21no—
260#14556587—21no—
261#14556587—21no—
262#14556587C2311yescharacteristic
263#14556587C2311yescharacteristic
264#14556586—21no—
265#14556586—21no—
266#14556586—21no—
267#14556586—21no—
268#14556582—21no—
269#14556581—21no—
270#14556580—21no—
271#14556580—21no—
272#14556580—21no—
273#14556579C2311yescharacteristic
274#14556579C2311yescharacteristic
275#14556579C2311yescharacteristic
276#14556579C2311yescharacteristic
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556575—21no—
288#14556575—21no—
289#14556575—21no—
290#14556575—21no—
291#14556573—21no—
292#14556573—21no—
293#14556571C2311yescharacteristic
294#14556571C2311yescharacteristic
295#14556571C2311yescharacteristic
296#14556569—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567C2311yescharacteristic
300#14556566—21no—
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566—21no—
305#14556566C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556565—21no—
312#14556565—21no—
313#14556565—21no—
314#14556565—21no—
315#14556565—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556563—21no—
325#14556563—21no—
326#14556562C2311yescharacteristic
327#14556562C2311yescharacteristic
328#14556561—21no—
329#14556561—21no—
330#14556561—21no—
331#14556561—21no—
332#14556561—21no—
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336Q8×Dic73D411yescharacteristic
337C4×Dic146—21no—
338C4×Dic146C2311yescharacteristic
339C4×Dic146C2311yescharacteristic
340#14556556C2311yescharacteristic
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349D4×Dic73—21no—
350D4×Dic73C2311yescharacteristic
351#14556553—21no—
352#14556553—21no—
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553—21no—
357#14556553—21no—
358#14556553—21no—
359#14556553D411yescharacteristic
360#14556553D411yescharacteristic
361#14556553D411yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556549—21no—
377#14556549—21no—
378#14556549D411yescharacteristic
379#14556549D411yescharacteristic
380#14556549D411yescharacteristic
381#14556549C2311yescharacteristic
382#14556548—21no—
383#14556547—21no—
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C2×#11924005—21no—
387C2×#11924005—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C2×C4×Dic73—21no—
395C42×D73C2311yescharacteristic
396C42×D73C2311yescharacteristic
397C42×D73C2311yescharacteristic
398#14556525C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556524C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556502C2311yescharacteristic
439#14556502C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73—21no—
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924029—42no—
489#11924029—41no—
490#11924029—41no—
491#11924029—41no—
492#11924029—41no—
493#11924029—82no—
494#11924028—82no—
495#11924028—82no—
496#11924027—22no—
497#11924027—41no—
498#11924027—41no—
499#11924027—41no—
500#11924027—41no—
501#11924027—41no—
502C2×Dic146—21no—
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—44no—
518C2×D292C2×D411yescharacteristic
519C2×D292C2×D411yescharacteristic
520C2×D292C2×D411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
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⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538D4×D73—22no—
539D4×D73—22no—
540D4×D73—41no—
541D4×D73—41no—
542D4×D73—41no—
543D4×D73—41no—
544D4×D73—41no—
545D4×D73—41no—
546D4×D73—44no—
547D4×D73—82no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73—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—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—82no—
563C2×C4×D73—82no—
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2×D411yescharacteristic
566C2×C4×D73C2×D411yescharacteristic
567C2×C4×D73C2×D411yescharacteristic
568C2×C4×D73C2×D411yescharacteristic
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73C2411yescharacteristic
571C2×C4×D73C2411yescharacteristic
572C2×C4×D73C2411yescharacteristic
573Dic292—41no—
574#11924018—41no—
575#11924017—41no—
576#11924017—41no—
577#11924017—41no—
578#11924017—41no—
579#11924016—22no—
580#11924016—41no—
581#11924016—41no—
582#11924015—41no—
583#11924015—41no—
584D584—41no—
585D584—41no—
586D584—41no—
587D584—41no—
588#11924013—22no—
589#11924013—22no—
590#11924013—41no—
591#11924013—41no—
592#11924013—41no—
593#11924013—41no—
594#11924011—41no—
595#11924011—41no—
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C8×D73—41no—
601C8×D73—41no—
602C8×D73—41no—
603C8×D73—41no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73C2×D411yescharacteristic
608C4⋊Dic73C2×D411yescharacteristic
609C4⋊Dic73C2×D411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—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#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73C2×D411yescharacteristic
660C4×Dic73C2×D411yescharacteristic
661C4×Dic73C2×D411yescharacteristic
662C4×Dic73C2×D411yescharacteristic
663C4×Dic73C2×D411yescharacteristic
664C4×Dic73C2×D411yescharacteristic
665C4×Dic73C2411yescharacteristic
666C2×Q8×C73—21no—
667C2×Q8×C73C2×D411yescharacteristic
668C2×Q8×C73C2411yescharacteristic
669C2×D4×C73—21no—
670C2×D4×C73—21no—
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679SD16×C73—22no—
680D8×C73—22no—
681D8×C73—22no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2×D411yescharacteristic
694C4⋊C4×C73C2×D411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C4⋊C4×C73C2411yescharacteristic
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C42×C73—21no—
709C42×C73C2411yescharacteristic
710C42×C73C2411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—42no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73C22×D411yescharacteristic
732C22×D73C22×D411yescharacteristic
733C22×D73C22×D411yescharacteristic
734Q8×C73—21no—
735Q8×C73—21no—
736Q8×C73—41no—
737Q8×C73—81no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—21no—
743D4×C73—42no—
744D4×C73—81no—
745D4×C73H(5,𝔽2)12yes—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—42no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C2511yescharacteristic
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—42no—
781C2×Dic73—42no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789D292—22no—
790D292—22no—
791D292—21no—
792D292—21no—
793D292—21no—
794D292—21no—
795D292—21no—
796D292—21no—
797D292—21no—
798D292—21no—
799D292—41no—
800D292—42no—
801D292—42no—
802D292—42no—
803D292—42no—
804D292—81no—
805D292—81no—
806D292—81no—
807D292—81no—
808D292—81no—
809D292—81no—
810D292—81no—
811D292—81no—
812C4×D73—22no—
813C4×D73—21no—
814C4×D73—21no—
815C4×D73—21no—
816C4×D73—21no—
817C4×D73—21no—
818C4×D73—21no—
819C4×D73—22no—
820C4×D73—22no—
821C4×D73—22no—
822C4×D73—41no—
823C4×D73—41no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—81no—
827C4×D73—81no—
828C4×D73—81no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832C4×D73—81no—
833C4×D73—81no—
834Dic146—21no—
835Dic146—21no—
836Dic146—21no—
837Dic146—21no—
838Dic146—42no—
839C8×C73—21no—
840C8×C73—21no—
841C8×C73—21no—
842C8×C73—21no—
843#10596831—21no—
844#10596831—21no—
845#10596831—21no—
846#10596831—21no—
847C22×C73—22no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73C23×D411yescharacteristic
857C2×D73—21no—
858C2×D73—21no—
859C2×D73—21no—
860C2×D73—21no—
861C2×D73—21no—
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—41no—
866C2×D73—41no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—84no—
878C2×D73—84no—
879C2×D73—162no—
880C2×D73—162no—
881C2×D73#57512yes—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—21no—
886C4×C73—21no—
887C4×C73—21no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73C2×H(5,𝔽2)11yescharacteristic
894C4×C73#58511yescharacteristic
895Dic73—21no—
896Dic73—21no—
897Dic73—21no—
898Dic73—21no—
899Dic73—41no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73#57612yes—
904#61977—731nomaximal, Sylow
905C2×C73—42no—
906C2×C73—81no—
907C2×C73—81no—
908C2×C73#348811yescharacteristic
909C2×C73C2×#57511yescharacteristic
910C2×C73C2×#57611yescharacteristic
911D73—22no—
912D73—41no—
913D73—41no—
914D73—81no—
915D73—81no—
916D73—81no—
917D73—81no—
918#3508—731no—
919#3481—731no—
920#3403—731no—
921#3403—731no—
922#3370—731no—
923#3370D7311yescharacteristic, complemented
924#3314—731no—
925#3314—731no—
926#3309—731no—
927#3309—731no—
928#3297—731no—
929#3297—731no—
930#3280—731no—
931#3280—731no—
932#3268—731no—
933#3268—731no—
934#3264—731no—
935#3264—731no—
936#3251—731no—
937#3248—731no—
938#3245—731no—
939#3217—731no—
940#3214—731no—
941#3212—731no—
942#3115—731no—
943#3110—731no—
944#3100—731no—
945#3036—731no—
946#3035—731no—
947C2×#459—731no—
948#2990—731no—
949C73#6197711yescharacteristic, complemented, Sylow
950C2×AGL(1,ℤ/8)—731no—
951C2×AGL(1,ℤ/8)—731no—
952C2×#135—731no—
953C2×#135—731no—
954C22×D8—731no—
955C22×D8—731no—
956#559—731no—
957#559—731no—
958#559—1461no—
959#559C2×D7311yescharacteristic, complemented
960#554—731no—
961#554C2×D7311yescharacteristic, complemented
962#553—731no—
963#553—731no—
964#553—1461no—
965#551—1461no—
966#551—1461no—
967#550—731no—
968#550—731no—
969#550—1461no—
970#546—731no—
971#546—731no—
972#546—731no—
973#546—731no—
974#546—731no—
975#546—731no—
976#546—1461no—
977#546—1461no—
978#546—1461no—
979D42—731no—
980#540—1461no—
981#540—1461no—
982#535—1461no—
983#533—731no—
984#532—731no—
985#532—731no—
986#532—731no—
987#532—731no—
988#532—731no—
989C2×#127—731no—
990#529—731no—
991#529—731no—
992#529—1461no—
993#525—1461no—
994#525—1461no—
995#518—1461no—
996C4×#41—731no—
997C4×#41—731no—
998C2×C4×D4—731no—
999C2×C4×D4—731no—
1000C2×C4×D4—1461no—
1001#496—731no—
1002#496—731no—
1003#496—731no—
1004#496—731no—
1005#495—731no—
1006#495—731no—
1007#490—731no—
1008#490C2×D7311yescharacteristic, complemented
1009#489—731no—
1010#489C2×D7311yescharacteristic, complemented
1011#488—731no—
1012#488C2×D7311yescharacteristic, complemented
1013#484—731no—
1014#484—731no—
1015#482—731no—
1016#482—731no—
1017#480—731no—
1018#480—731no—
1019#479—731no—
1020#479C2×D7311yescharacteristic, complemented
1021#478—731no—
1022#478C2×D7311yescharacteristic, complemented
1023#475—731no—
1024#474—731no—
1025#474—731no—
1026#474—731no—
1027#474—731no—
1028#474C2×D7311yescharacteristic, complemented
1029#469—731no—
1030#469—731no—
1031#468—731no—
1032#468—731no—
1033#467—731no—
1034#467—731no—
1035#466—731no—
1036#466—731no—
1037#466—731no—
1038#466—731no—
1039#465—731no—
1040#465—731no—
1041#464—731no—
1042#464—731no—
1043#464—731no—
1044#464—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463—731no—
1050#463—731no—
1051#463C2×D7311yescharacteristic, complemented
1052#463C2×D7311yescharacteristic, complemented
1053#462—731no—
1054#461—731no—
1055#461—731no—
1056#461—731no—
1057#460—731no—
1058#460—731no—
1059#459—731no—
1060#459—731no—
1061#459—731no—
1062#459—731no—
1063#459—731no—
1064#459—731no—
1065#459—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459C2×D7311yescharacteristic
1071#452—731no—
1072#452—731no—
1073#450—731no—
1074#450—731no—
1075#450—731no—
1076#450—731no—
1077#449—731no—
1078#449—731no—
1079#449—731no—
1080#449—731no—
1081#449—731no—
1082#449—731no—
1083#449—731no—
1084#449—731no—
1085#447—731no—
1086#447—731no—
1087#447—731no—
1088#447—731no—
1089#446—731no—
1090#446C2×D7311yescharacteristic, complemented
1091#442—731no—
1092#442C2×D7311yescharacteristic, complemented
1093#440—731no—
1094#440—731no—
1095#440—731no—
1096#440—731no—
1097#440—731no—
1098#440C2×D7311yescharacteristic, complemented
1099C4×D8—731no—
1100C4×D8—731no—
1101C4×D8—731no—
1102C4×D8C2×D7311yescharacteristic, complemented
1103#435—731no—
1104#435—731no—
1105#435—731no—
1106#435—731no—
1107C8×D4—731no—
1108C8×D4—731no—
1109#432—731no—
1110#432—731no—
1111#431—731no—
1112#423—731no—
1113C2×C4⋊C8—731no—
1114C2×C4⋊C8—731no—
1115#417—731no—
1116#417—731no—
1117#416—731no—
1118#416—731no—
1119C2×#102—731no—
1120C2×#102—731no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—731no—
1126C2×#41—731no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C22×D4—731no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—1461no—
1135C22×D4—1461no—
1136C22×D4—1461no—
1137C23×C4—1461no—
1138C23×C4—1461no—
1139AGL(1,ℤ/8)—2922no—
1140AGL(1,ℤ/8)—2922no—
1141#135—2922no—
1142#135—2922no—
1143C2×Q16—731no—
1144C2×Q16—731no—
1145C2×SD16—731no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16—731no—
1152C2×SD16—731no—
1153C2×SD16—731no—
1154C2×SD16C22×D7311yescharacteristic
1155C2×D8—2922no—
1156C2×D8—2922no—
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—731no—
1160C2×D8—731no—
1161C2×D8—731no—
1162C2×D8—731no—
1163C2×D8—731no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8C22×D7311yescharacteristic
1168C2×D8C22×D7311yescharacteristic
1169C2×M16—731no—
1170C2×M16—731no—
1171C22×C8—731no—
1172C22×C8—731no—
1173C22×C8—731no—
1174C22×C8—731no—
1175C4⋊Q8—731no—
1176C4⋊Q8—731no—
1177C4⋊Q8C22×D7311yescharacteristic
1178#127—731no—
1179#127—731no—
1180#127—731no—
1181#127—731no—
1182#127—1461no—
1183#127—1461no—
1184#127—1461no—
1185#127—1461no—
1186#127C22×D7311yescharacteristic
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#125—1461no—
1192#125—1461no—
1193#125C22×D7311yescharacteristic
1194#125C22×D7311yescharacteristic
1195#124—21no—
1196#124—731no—
1197#124—731no—
1198#124—731no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#124C22×D7311yescharacteristic
1206#124C22×D7311yescharacteristic
1207#123—21no—
1208#123—21no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223C22⋊Q8—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8—731no—
1227C22⋊Q8—731no—
1228C22⋊Q8—731no—
1229C22⋊Q8—731no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233#121—731no—
1234#121—731no—
1235#121—731no—
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#120—1461no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265#120—1461no—
1266#120—1461no—
1267#120—1461no—
1268#120—1461no—
1269C4×Q8—731no—
1270C4×Q8—731no—
1271C4×Q8—731no—
1272C4×Q8—731no—
1273C4×Q8—1461no—
1274C4×Q8C22×D7311yescharacteristic
1275C4×Q8C22×D7311yescharacteristic
1276C4×D4—21no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
1286C4×D4—731no—
1287C4×D4—731no—
1288C4×D4—731no—
1289C4×D4—731no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4C22×D7311yescharacteristic
1313C4×D4C22×D7311yescharacteristic
1314C4×D4C22×D7311yescharacteristic
1315C4×D4C22×D7311yescharacteristic
1316C4×D4C22×D7311yescharacteristic
1317#117—731no—
1318#117—731no—
1319#117—731no—
1320#117—731no—
1321#117—1461no—
1322#117—1461no—
1323#117—1461no—
1324#117—1461no—
1325C2×C4⋊C4—21no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—731no—
1328C2×C22⋊C4—1461no—
1329C2×C22⋊C4—1461no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C22⋊C4—1461no—
1335C2×C22⋊C4—1461no—
1336C2×C42—731no—
1337C2×C42—731no—
1338C2×C42—731no—
1339C2×C42—1461no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107C22×D7311yescharacteristic
1345#107C22×D7311yescharacteristic
1346#106—731no—
1347#106C22×D7311yescharacteristic
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350C4⋊C8—731no—
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8C22×D7311yescharacteristic
1356C4⋊C8C22×D7311yescharacteristic
1357C4⋊C8C22×D7311yescharacteristic
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103C22×D7311yescharacteristic
1366#103C22×D7311yescharacteristic
1367#103C22×D7311yescharacteristic
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102C22×D7311yescharacteristic
1384#102C22×D7311yescharacteristic
1385#102C22×D7311yescharacteristic
1386#102C22×D7311yescharacteristic
1387#102C22×D7311yescharacteristic
1388#102C22×D7311yescharacteristic
1389#102C22×D7311yescharacteristic
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8—731no—
1393C22⋊C8—731no—
1394C22⋊C8—731no—
1395C22⋊C8—731no—
1396#97—731no—
1397#97—731no—
1398#97C22×D7311yescharacteristic
1399#97C22×D7311yescharacteristic
1400C4×C8—731no—
1401C4×C8C22×D7311yescharacteristic
1402C24—1461no—
1403C24—1461no—
1404C24—1461no—
1405C24—1461no—
1406#41—2921no—
1407#41—2922no—
1408#41—2921no—
1409#41—2921no—
1410#41—2921no—
1411#41—2921no—
1412#41—2921no—
1413#41—2921no—
1414#41—2921no—
1415#41—2921no—
1416#41—5842no—
1417#41—5842no—
1418#41—5842no—
1419#41—1462no—
1420C2×Q8—21no—
1421C2×Q8—731no—
1422C2×Q8—731no—
1423C2×Q8—1461no—
1424C2×Q8D4×D7311yescharacteristic
1425C2×Q8C23×D7311yescharacteristic
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—2924no—
1429C2×D4—2921no—
1430C2×D4—2921no—
1431C2×D4—2921no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—2924no—
1436C2×D4—5842no—
1437C2×D4—731no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—731no—
1441C2×D4—731no—
1442C2×D4—731no—
1443C2×D4—731no—
1444C2×D4—1461no—
1445C2×D4—1461no—
1446C2×D4—1461no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1462no—
1462C2×D4—1462no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4C23×D7311yescharacteristic
1472C2×D4C23×D7311yescharacteristic
1473C2×D4C23×D7311yescharacteristic
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—5842no—
1480C22×C4—5842no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—731no—
1488C22×C4—731no—
1489C22×C4—731no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504Q16—2921no—
1505Q16—2921no—
1506SD16—22no—
1507SD16—2921no—
1508SD16—2921no—
1509SD16—2921no—
1510SD16—2921no—
1511SD16—2921no—
1512SD16—2921no—
1513SD16—2921no—
1514SD16—2921no—
1515SD16—1462no—
1516D8—22no—
1517D8—22no—
1518D8—2921no—
1519D8—2921no—
1520D8—2921no—
1521D8—2921no—
1522D8—2921no—
1523D8—2921no—
1524D8—2921no—
1525D8—2921no—
1526D8—1462no—
1527D8—1462no—
1528M16—2921no—
1529M16—2921no—
1530C2×C8—2921no—
1531C2×C8—2921no—
1532C2×C8—2921no—
1533C2×C8—2921no—
1534C2×C8—731no—
1535C2×C8—731no—
1536C2×C8—731no—
1537C2×C8—731no—
1538C2×C8C23×D7311yescharacteristic
1539C2×C8C23×D7311yescharacteristic
1540C2×C8C23×D7311yescharacteristic
1541C2×C8C23×D7311yescharacteristic
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4—21no—
1547C4⋊C4—21no—
1548C4⋊C4—731no—
1549C4⋊C4—731no—
1550C4⋊C4—731no—
1551C4⋊C4—731no—
1552C4⋊C4—731no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4D4×D7311yescharacteristic
1566C4⋊C4D4×D7311yescharacteristic
1567C4⋊C4D4×D7311yescharacteristic
1568C4⋊C4C23×D7311yescharacteristic
1569C4⋊C4C23×D7311yescharacteristic
1570C4⋊C4C23×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—731no—
1582C22⋊C4—731no—
1583C22⋊C4—731no—
1584C22⋊C4—731no—
1585C22⋊C4—731no—
1586C22⋊C4—731no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C42—21no—
1616C42—731no—
1617C42—731no—
1618C42—731no—
1619C42—731no—
1620C42—731no—
1621C42—731no—
1622C42—731no—
1623C42—1461no—
1624C42—1461no—
1625C42—1461no—
1626C42—1461no—
1627C42C23×D7311yescharacteristic
1628C42C23×D7311yescharacteristic
1629C42C23×D7311yescharacteristic
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—2922no—
1634C23—2922no—
1635C23—2922no—
1636C23—2922no—
1637C23—2922no—
1638C23—2922no—
1639C23—5841no—
1640C23—5841no—
1641C23—5841no—
1642C23—5841no—
1643C23—5841no—
1644C23—5841no—
1645C23—731no—
1646C23—731no—
1647C23—731no—
1648C23—1461no—
1649C23—1461no—
1650C23—1461no—
1651C23—1461no—
1652Q8—21no—
1653Q8—21no—
1654Q8—41no—
1655Q8—81no—
1656Q8—2922no—
1657Q8—1461no—
1658Q8—1461no—
1659Q8—1461no—
1660Q8—1461no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—42no—
1667D4—81no—
1668D4—2922no—
1669D4—2922no—
1670D4—2921no—
1671D4—2922no—
1672D4—2922no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2922no—
1680D4—5841no—
1681D4—5841no—
1682D4—5841no—
1683D4—5841no—
1684D4—5841no—
1685D4—5841no—
1686D4—5841no—
1687D4—5841no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—1462no—
1695D4—1462no—
1696D4—1461no—
1697D4—1461no—
1698D4—1461no—
1699D4—1461no—
1700D4—1461no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4#1455663712yes—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—42no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—2921no—
1716C2×C4—2921no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2922no—
1721C2×C4—5841no—
1722C2×C4—5841no—
1723C2×C4—5841no—
1724C2×C4—5841no—
1725C2×C4—5841no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—5841no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—731no—
1736C2×C4—1462no—
1737C2×C4—1462no—
1738C2×C4—1462no—
1739C2×C4—1462no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1461no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C2×D4×D7311yescharacteristic
1752C2×C4C2×D4×D7311yescharacteristic
1753C2×C4C2×D4×D7311yescharacteristic
1754C2×C4C2×D4×D7311yescharacteristic
1755C2×C4C2×D4×D7311yescharacteristic
1756C2×C4C24×D7311yescharacteristic
1757C8—21no—
1758C8—21no—
1759C8—21no—
1760C8—21no—
1761C8—1461no—
1762C8—1461no—
1763C8—1461no—
1764C8—1461no—
1765C22—22no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—2921no—
1775C22—2921no—
1776C22—2921no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—5844no—
1787C22—5844no—
1788C22—732no—
1789C22—11682no—
1790C22—11682no—
1791C22—1461no—
1792C22—1461no—
1793C22—1461no—
1794C22—1461no—
1795C22—1461no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22C22×D4×D7311yescharacteristic
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—2921no—
1812C4—2921no—
1813C4—2921no—
1814C4—2921no—
1815C4—732no—
1816C4—1461no—
1817C4—1461no—
1818C4—1461no—
1819C4—1461no—
1820C4C2×#1455663711yescharacteristic
1821C4#1798942411yescharacteristic
1822C2—42no—
1823C2—81no—
1824C2—81no—
1825C2—2921no—
1826C2—2921no—
1827C2—5841no—
1828C2—5841no—
1829C2—5841no—
1830C2—5841no—
1831C2—1462no—
1832C2#2262359711yescharacteristic
1833C2#575×D7311yescharacteristic
1834C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3370C2
socleC22×C73C23×D4
hypercenter#3370D73
hypocenterC73#61977
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #22623804C2semidirect
2. #22623542C2semidirect
3. #22623021C2semidirect
4. #22623015C2semidirect
5. #22622684C2semidirect
6. #22622011C2semidirect
7. #22622009C2semidirect
8. #22621936C2semidirect
9. #22621934C2semidirect
10. #22621780C2semidirect
11. #22621778C2semidirect
12. #22621617C2semidirect
13. #22621611C2semidirect
14. #22621477C2semidirect
15. #22621473C2semidirect
16. #22621417C2semidirect
17. #22621413C2semidirect
18. #22621292C2semidirect
19. #22621267C2semidirect
20. #22621240C2semidirect
21. #22620950C2semidirect
22. #22620927C2semidirect
23. #22620908C2semidirect
24. #22620078C2semidirect
25. #22620028C2semidirect
26. #22619929C2semidirect
27. #22619393C2semidirect
28. #22619383C2semidirect
29. #459×D73C2semidirect
30. #22619055C2semidirect
31. C73×#3370C2semidirect
32. C2×#14556618C22semidirect
33. C2×#14556615C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556610C22semidirect
38. #17989322C22semidirect
39. #17989322C22semidirect
43. #17989290C22semidirect
47. #17989259C22semidirect
49. #17989257C22semidirect
52. #17989232C22semidirect
53. #17989232C22semidirect
55. #17989230C22semidirect
63. #17989141C22semidirect
64. #17989138C22semidirect
65. #17989136C22semidirect
66. #17989136C22semidirect
67. #17989134C22semidirect
68. #17989134C22semidirect
69. #127×D73C22semidirect
72. #17989122C22semidirect
77. C4×#11924027C22semidirect
80. C4×D4×D73C22semidirect
81. #17988977C22semidirect
82. #17988976C22semidirect
83. #17988976C22semidirect
84. #17988974C22semidirect
85. #17988971C22semidirect
86. #17988969C22semidirect
87. #17988953C22semidirect
88. #17988949C22semidirect
89. #17988944C22semidirect
90. #17988924C22semidirect
91. #17988921C22semidirect
92. #17988913C22semidirect
93. #17988909C22semidirect
94. #17988902C22semidirect
95. #17988899C22semidirect
96. #17988891C22semidirect
97. #17988884C22semidirect
98. #17988871C22semidirect
99. #17988866C22semidirect
100. #17988866C22semidirect
101. #17988865C22semidirect
102. #17988864C22semidirect
103. #17988841C22semidirect
104. #17988839C22semidirect
105. #17988834C22semidirect
106. #17988832C22semidirect
107. #17988829C22semidirect
108. #17988827C22semidirect
109. #17988824C22semidirect
110. #17988824C22semidirect
111. #17988822C22semidirect
112. #17988822C22semidirect
115. #17988810C22semidirect
116. #17988810C22semidirect
117. #17988809C22semidirect
118. #17988806C22semidirect
119. #17988803C22semidirect
120. #17988803C22semidirect
121. #17988802C22semidirect
122. #17988802C22semidirect
123. #17988802C22semidirect
124. #17988799C22semidirect
125. #17988796C22semidirect
126. #17988791C22semidirect
127. #17988791C22semidirect
128. #17988790C22semidirect
129. #17988786C22semidirect
130. #17988786C22semidirect
131. #17988783C22semidirect
132. #17988783C22semidirect
134. #17988782C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988781C22semidirect
141. #17988779C22semidirect
142. #17988752C22semidirect
143. #17988750C22semidirect
145. #17988739C22semidirect
146. #17988739C22semidirect
148. #17988735C22semidirect
149. #17988735C22semidirect
150. #17988735C22semidirect
151. #17988733C22semidirect
152. #17988733C22semidirect
153. #17988733C22semidirect
154. #17988733C22semidirect
155. #17988729C22semidirect
158. #17988722C22semidirect
159. #17988719C22semidirect
160. #17988718C22semidirect
161. #17988697C22semidirect
162. #17988689C22semidirect
163. #17988689C22semidirect
164. #17988687C22semidirect
165. #17988687C22semidirect
166. #17988685C22semidirect
167. C4×D584C22semidirect
168. C4×#11924013C22semidirect
169. C4×#11924013C22semidirect
171. #17988660C22semidirect
173. #17988657C22semidirect
174. C8×D292C22semidirect
175. #17988652C22semidirect
176. #17988642C22semidirect
177. #17988642C22semidirect
178. #17988638C22semidirect
179. #17988609C22semidirect
180. C4⋊C8×D73C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. #559×C73C22semidirect
189. #554×C73C22semidirect
190. #490×C73C22semidirect
191. #489×C73C22semidirect
192. #488×C73C22semidirect
193. #479×C73C22semidirect
194. #478×C73C22semidirect
195. #474×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #440×C73C22semidirect
202. C4×D8×C73C22semidirect
923. #3370D73semidirect
949. C73#61977semidirect
959. #559C2×D73semidirect
961. #554C2×D73semidirect
1008. #490C2×D73semidirect
1010. #489C2×D73semidirect
1012. #488C2×D73semidirect
1020. #479C2×D73semidirect
1022. #478C2×D73semidirect
1028. #474C2×D73semidirect
1051. #463C2×D73semidirect
1052. #463C2×D73semidirect
1090. #446C2×D73semidirect
1092. #442C2×D73semidirect
1098. #440C2×D73semidirect
1102. C4×D8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238042
#226235422
#226230212
#226230152
#226226842
#226220112
#226220092
#226219362
#226219342
#226217802
#226217782
#226216172
#226216112
#226214772
#226214732
#226214172
#226214132
#226212922
#226212672
#226212402
#226209502
#226209272
#226209082
#226200782
#226200282
#226199292
#226193932
#226193832
#459×D732
#226190552
C73×#33702
#6197773