Finite Group Databasebeta

← #33978995

Subgroups — #33978995

Order 18688.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623893C211yesmaximal, characteristic, complemented
2#22623525C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22623004C211yesmaximal, characteristic, complemented
5#22622768C211yesmaximal, characteristic, complemented
6#22622702C211yesmaximal, characteristic, complemented
7#22622066C211yesmaximal, characteristic, complemented
8#22621998C211yesmaximal, characteristic, complemented
9#22621970C211yesmaximal, characteristic, complemented
10#22621829C211yesmaximal, characteristic, complemented
11#22621779C211yesmaximal, characteristic, complemented
12#22621665C211yesmaximal, characteristic, complemented
13#22621635C211yesmaximal, characteristic, complemented
14#22621519C211yesmaximal, characteristic, complemented
15#22621502C211yesmaximal, characteristic, complemented
16#22621478C211yesmaximal, characteristic, complemented
17#22621431C211yesmaximal, characteristic, complemented
18#22621328C211yesmaximal, characteristic, complemented
19#22621285C211yesmaximal, characteristic, complemented
20#22621252C211yesmaximal, characteristic, complemented
21#22620971C211yesmaximal, characteristic, complemented
22#22620917C211yesmaximal, characteristic, complemented
23#22620895C211yesmaximal, characteristic, complemented
24#22620105C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22619952C211yesmaximal, characteristic, complemented
27#22619428C211yesmaximal, characteristic, complemented
28#22619387C211yesmaximal, characteristic, complemented
29C2×#17988812C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3320C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic, complemented
33C2×#14556619C2211yescharacteristic
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic, complemented
36C22×#11924018C2211yescharacteristic, complemented
37C22×#11924017C2211yescharacteristic
38#17989322C2211yescharacteristic
39#17989321—21no—
40#17989320C2211yescharacteristic, complemented
41#17989314C2211yescharacteristic, complemented
42#17989311C2211yescharacteristic
43#17989305C2211yescharacteristic, complemented
44#17989304—21no—
45#17989303—21no—
46#17989286—21no—
47#17989285C2211yescharacteristic, complemented
48#17989280—21no—
49#17989264—21no—
50#17989264—21no—
51#17989255C2211yescharacteristic, complemented
52#17989248C2211yescharacteristic
53#17989248C2211yescharacteristic
54#17989246C2211yescharacteristic
55#17989243C2211yescharacteristic, complemented
56#17989232—21no—
57#17989228C2211yescharacteristic
58#17989228C2211yescharacteristic
59D4×D292C2211yescharacteristic
60#17989211—21no—
61#17989177—21no—
62#17989177—21no—
63#17989138C2211yescharacteristic
64#17989132—21no—
65#17989132C2211yescharacteristic, complemented
66#17989124C2211yescharacteristic
67#17989123C2211yescharacteristic
68#17989123C2211yescharacteristic
69#17989122C2211yescharacteristic, complemented
70#17989120—21no—
71#17989118C2211yescharacteristic, complemented
72#17989114—21no—
73C2×#14556580C2211yescharacteristic
74C2×#14556580C2211yescharacteristic
75#17989059—21no—
76#17989055C2211yescharacteristic, complemented
77C4×#11924027—21no—
78C4×#11924027C2211yescharacteristic
79C4×#11924027C2211yescharacteristic, complemented
80C2×#14556556C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic
83#17988973C2211yescharacteristic
84#17988973C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic
86#17988968C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic
88#17988948C2211yescharacteristic
89#17988948C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic
91#17988943C2211yescharacteristic, complemented
92#17988927C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic
94#17988911C2211yescharacteristic
95#17988905C2211yescharacteristic
96#17988896C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic
103#17988880C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic
107#17988833C2211yescharacteristic
108#17988827C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic
110#17988823C2211yescharacteristic
111#17988821C2211yescharacteristic
112#17988819C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic
115#17988812C2211yescharacteristic
116#17988812C2211yescharacteristic
117#17988812C2211yescharacteristic
118#17988812C2211yescharacteristic
119#17988812C2211yescharacteristic
120#17988812C2211yescharacteristic, complemented
121#17988812C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988812C2211yescharacteristic, complemented
124#17988812C2211yescharacteristic, complemented
125#17988812C2211yescharacteristic, complemented
126#17988812C2211yescharacteristic, complemented
127#17988809C2211yescharacteristic, complemented
128#17988807C2211yescharacteristic, complemented
129#17988805C2211yescharacteristic
130#17988805C2211yescharacteristic
131#17988805C2211yescharacteristic, complemented
132#17988805C2211yescharacteristic, complemented
133#17988805C2211yescharacteristic, complemented
134#17988804C2211yescharacteristic
135#17988804C2211yescharacteristic, complemented
136#17988804C2211yescharacteristic, complemented
137#17988803C2211yescharacteristic
138#17988801C2211yescharacteristic, complemented
139#17988794C2211yescharacteristic, complemented
140#17988788C2211yescharacteristic
141#17988785C2211yescharacteristic, complemented
142#17988782C2211yescharacteristic
143#17988781C2211yescharacteristic, complemented
144#17988752C2211yescharacteristic, complemented
145#17988752C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic, complemented
148#17988743C2211yescharacteristic, complemented
149#17988742C2211yescharacteristic, complemented
150#17988740C2211yescharacteristic
151#17988735C2211yescharacteristic, complemented
152#17988735C2211yescharacteristic, complemented
153#17988734C2211yescharacteristic
154#17988733C2211yescharacteristic
155#17988728C2211yescharacteristic
156#17988726C2211yescharacteristic, complemented
157#17988723C2211yescharacteristic
158#17988720C2211yescharacteristic
159#17988720C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic
163#17988692C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988691C2211yescharacteristic, complemented
166#17988689C2211yescharacteristic
167#17988686C2211yescharacteristic, complemented
168#17988686C2211yescharacteristic, complemented
169#17988679C2211yescharacteristic, complemented
170#17988674C2211yescharacteristic, complemented
171#17988672C2211yescharacteristic, complemented
172#17988669C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988591C2211yescharacteristic
185#17988582C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic
188#553×C73C2211yescharacteristic
189D4×Q8×C73C2211yescharacteristic
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#419×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027D411yescharacteristic
208C2×#11924027C2311yescharacteristic
209C22×Dic146C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213#14556622—42no—
214#14556619—42no—
215#14556612—42no—
216#14556612—42no—
217C2×#11924018—42no—
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924017—42no—
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244#14556590—21no—
245#14556590C2311yescharacteristic
246#14556588C2311yescharacteristic
247#14556587—21no—
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556585—21no—
257#14556584—21no—
258#14556584—21no—
259#14556582C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556580—21no—
264#14556580—21no—
265#14556580—21no—
266#14556580—21no—
267#14556580—21no—
268#14556580—21no—
269#14556580C2311yescharacteristic
270#14556580C2311yescharacteristic
271#14556580C2311yescharacteristic
272#14556580C2311yescharacteristic
273#14556580C2311yescharacteristic
274#14556580C2311yescharacteristic
275#14556580C2311yescharacteristic
276#14556579—21no—
277#14556579C2311yescharacteristic
278#14556578C2311yescharacteristic
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556575—21no—
292#14556575—21no—
293#14556574—21no—
294#14556573—21no—
295#14556572—21no—
296#14556571—21no—
297#14556571C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556569—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567C2311yescharacteristic
304#14556566—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556565—21no—
312#14556565—21no—
313#14556565—21no—
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332#14556556—21no—
333#14556556—21no—
334#14556556D411yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340C4×D292—21no—
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343D4×Dic73—21no—
344D4×Dic73—21no—
345D4×Dic73D411yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551D411yescharacteristic
370#14556551D411yescharacteristic
371#14556549—21no—
372#14556549—21no—
373#14556549—21no—
374#14556549—21no—
375#14556549D411yescharacteristic
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556548—21no—
379#14556547—21no—
380#14556547—21no—
381#14556547D411yescharacteristic
382#14556547D411yescharacteristic
383C2×#11924007—21no—
384C2×#11924005—21no—
385C2×#11924005—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73—21no—
391C2×C4×Dic73—21no—
392C2×C4×Dic73C2311yescharacteristic
393C2×C4×Dic73C2311yescharacteristic
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73—21no—
449C4⋊Q8×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73C2311yescharacteristic
452#123×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924028—22no—
491#11924028—41no—
492#11924027—22no—
493#11924027—41no—
494#11924027—42no—
495#11924027—44no—
496C2×Dic146—22no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—41no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292—41no—
514C2×D292—41no—
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528D4×D73—44no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73C2×D411yescharacteristic
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547#11924018—22no—
548#11924018—22no—
549#11924018—22no—
550#11924018—41no—
551#11924018—41no—
552#11924018—41no—
553#11924017—22no—
554#11924017—22no—
555#11924017—22no—
556#11924017—41no—
557#11924017—41no—
558#11924017—41no—
559#11924015—41no—
560#11924015—41no—
561#11924015—41no—
562D584—41no—
563D584—41no—
564D584—41no—
565#11924013—41no—
566#11924013—41no—
567#11924013—41no—
568#11924012—41no—
569C2×#10596831—41no—
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C8×D73—41no—
575C8×D73—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73C2×D411yescharacteristic
604C22⋊Dic73C2×D411yescharacteristic
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
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#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C2×Q8×C73—21no—
655C2×Q8×C73—21no—
656C2×Q8×C73—41no—
657C2×Q8×C73—41no—
658C2×Q8×C73—41no—
659C2×Q8×C73—41no—
660C2×Q8×C73C2411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73C2411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673SD16×C73—41no—
674SD16×C73—41no—
675SD16×C73—41no—
676M16×C73—41no—
677C2×C8×C73—41no—
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73C22×D411yescharacteristic
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—81no—
727Q8×C73—81no—
728D4×C73—22no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—42no—
732D4×C73—81no—
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—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—81no—
745C2×C4×C73—81no—
746C2×C4×C73—81no—
747C2×C4×C73—81no—
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C2511yescharacteristic
753C22⋊D73—22no—
754C22⋊D73—41no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—81no—
762C2×Dic73—22no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—41no—
768C2×Dic73—41no—
769C2×Dic73—41no—
770C2×Dic73—42no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—42no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292—81no—
794D292—81no—
795D292—81no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—41no—
799C4×D73—41no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—41no—
812Dic146—42no—
813Dic146—42no—
814Dic146H(5,𝔽2)12yes—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73#57512yes—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
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—162no—
849C2×D73—162no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73C2×H(5,𝔽2)11yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—22no—
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874#61992—731nomaximal, Sylow
875C2×C73—22no—
876C2×C73—41no—
877C2×C73—81no—
878C2×C73#348811yescharacteristic
879C2×C73C2×#57511yescharacteristic
880C2×C73#358411yescharacteristic
881D73—41no—
882D73—81no—
883D73—81no—
884D73—81no—
885D73—81no—
886#3514—731no—
887#3480—731no—
888#3403—731no—
889#3401—731no—
890#3377—731no—
891#3371—731no—
892#3320D7311yescharacteristic, complemented
893#3318—731no—
894#3313—731no—
895#3311—731no—
896#3301—731no—
897#3297—731no—
898#3285—731no—
899#3282—731no—
900#3271—731no—
901#3270—731no—
902#3268—731no—
903#3265—731no—
904#3256—731no—
905#3250—731no—
906#3247—731no—
907#3219—731no—
908#3213—731no—
909#3211—731no—
910#3117—731no—
911#3111—731no—
912#3102—731no—
913#3040—731no—
914#3035—731no—
915C2×#464—731no—
916#2990—731no—
917C73#6199211yescharacteristic, complemented, Sylow
918C2×#137—731no—
919C2×AGL(1,ℤ/8)—731no—
920C2×#135—731no—
921C2×#135—731no—
922C22×Q16—731no—
923C22×SD16—731no—
924#559—731no—
925#559—731no—
926#559—1461no—
927#557—731no—
928#556—731no—
929#556—731no—
930#556—1461no—
931#555—1461no—
932#553—731no—
933#553—1461no—
934#553—1461no—
935#553C2×D7311yescharacteristic
936#551—1461no—
937#551—1461no—
938#550—731no—
939D4×Q8C2×D7311yescharacteristic
940#548—731no—
941#548—731no—
942#548—731no—
943#548—731no—
944#546—731no—
945#546—731no—
946#546—1461no—
947D42—731no—
948#542—1461no—
949#538—1461no—
950#538—1461no—
951#532—731no—
952#532—731no—
953#532—1461no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124—731no—
963#518—1461no—
964C4×#41—731no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—1461no—
968C2×C4×Q8—731no—
969#497—731no—
970#496—731no—
971#496—731no—
972#496—731no—
973#495—731no—
974#495—731no—
975#491C2×D7311yescharacteristic, complemented
976#490—731no—
977#489—731no—
978#489—731no—
979#488—731no—
980#488—731no—
981#485—731no—
982#485C2×D7311yescharacteristic, complemented
983#484C2×D7311yescharacteristic, complemented
984#482—731no—
985#482—731no—
986#481—731no—
987#479—731no—
988#479—731no—
989#479—731no—
990#479C2×D7311yescharacteristic, complemented
991#478—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#477—731no—
996#476—731no—
997#470—731no—
998#469—731no—
999#468—731no—
1000#468C2×D7311yescharacteristic, complemented
1001#467—731no—
1002#466—731no—
1003#466—731no—
1004#466—731no—
1005#465—731no—
1006#465—731no—
1007#465—731no—
1008#465C2×D7311yescharacteristic, complemented
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#462—731no—
1034#461C2×D7311yescharacteristic, complemented
1035#460—731no—
1036#460—731no—
1037#459—731no—
1038#459—731no—
1039#452—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#451—731no—
1044#451—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#449—731no—
1050#448—731no—
1051#448—731no—
1052#448C2×D7311yescharacteristic, complemented
1053#448C2×D7311yescharacteristic, complemented
1054#447—731no—
1055#447—731no—
1056#447—731no—
1057#446—731no—
1058#446—731no—
1059#442—731no—
1060#441—731no—
1061#441—731no—
1062#441—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440C2×D7311yescharacteristic, complemented
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×D8—731no—
1071#435—731no—
1072#435—731no—
1073#435—731no—
1074#435C2×D7311yescharacteristic
1075C8×D4—731no—
1076C8×D4—731no—
1077#432—731no—
1078#432—731no—
1079#431—731no—
1080#423—731no—
1081C2×C4⋊C8—731no—
1082C2×C4⋊C8—731no—
1083#419C2×D7311yescharacteristic, complemented
1084#418—731no—
1085#416—731no—
1086#416—731no—
1087C2×#103C2×D7311yescharacteristic, complemented
1088C2×#102—731no—
1089C2×#41—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—1461no—
1095C22×Q8—731no—
1096C22×Q8C22×D7311yescharacteristic
1097C22×Q8C22×D7311yescharacteristic
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101#137—2922no—
1102AGL(1,ℤ/8)—2922no—
1103#135—2922no—
1104#135—2922no—
1105C2×Q16—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×M16—731no—
1132C2×M16C22×D7311yescharacteristic
1133C22×C8—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8C22×D7311yescharacteristic
1137C4⋊Q8—21no—
1138C4⋊Q8—731no—
1139C4⋊Q8—1461no—
1140C4⋊Q8C22×D7311yescharacteristic
1141#127—731no—
1142#127—731no—
1143#127—1461no—
1144#126—21no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125C22×D7311yescharacteristic
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—731no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#123—21no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8C22×D7311yescharacteristic
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—21no—
1207#121—731no—
1208#121—731no—
1209#121—731no—
1210#121—731no—
1211#121—731no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121C22×D7311yescharacteristic
1226#121C22×D7311yescharacteristic
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—1461no—
1242C4×Q8—1461no—
1243C4×Q8—1461no—
1244C4×Q8—1461no—
1245C4×Q8C22×D7311yescharacteristic
1246C4×D4—21no—
1247C4×D4—21no—
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—731no—
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×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281#117—731no—
1282#117—731no—
1283#117—731no—
1284#117—731no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117—1461no—
1293#117C22×D7311yescharacteristic
1294C2×C4⋊C4—1461no—
1295C2×C4⋊C4C22×D7311yescharacteristic
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C42—731no—
1303C2×C42—731no—
1304C2×C42—731no—
1305C2×C42—1461no—
1306C2×C42—1461no—
1307C2×C42—1461no—
1308#107—731no—
1309#107—731no—
1310#107C22×D7311yescharacteristic
1311#107C22×D7311yescharacteristic
1312#106—731no—
1313#106—731no—
1314#106—731no—
1315#106C22×D7311yescharacteristic
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8C22×D7311yescharacteristic
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#103C22×D7311yescharacteristic
1337#103C22×D7311yescharacteristic
1338#103C22×D7311yescharacteristic
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
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#102—731no—
1355#102—731no—
1356#102—731no—
1357#102C22×D7311yescharacteristic
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8C22×D7311yescharacteristic
1363C22⋊C8C22×D7311yescharacteristic
1364#97—731no—
1365#97—731no—
1366#97—731no—
1367#97C22×D7311yescharacteristic
1368C4×C8—731no—
1369C4×C8—731no—
1370C24—1461no—
1371C24—1461no—
1372#41—2921no—
1373#41—2921no—
1374#41—2922no—
1375#41—2924no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—1462no—
1381#41—1462no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—41no—
1388C2×Q8—2921no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1462no—
1393C2×Q8—1461no—
1394C2×Q8—1461no—
1395C2×Q8C23×D7311yescharacteristic
1396C2×Q8C23×D7311yescharacteristic
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—2921no—
1401C2×D4—2921no—
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—2924no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4D4×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—731no—
1438C22×C4—731no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4C23×D7311yescharacteristic
1451C22×C4C23×D7311yescharacteristic
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—1462no—
1456Q16—1462no—
1457Q16—1462no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470D8—2921no—
1471D8—2921no—
1472D8—2921no—
1473D8—2921no—
1474D8—2921no—
1475D8—2921no—
1476M16—41no—
1477M16—2921no—
1478C2×C8—41no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—2921no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8—731no—
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C2×C8C23×D7311yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4D4×D7311yescharacteristic
1522C4⋊C4C23×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1570C22⋊C4D4×D7311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42—1461no—
1591C42C23×D7311yescharacteristic
1592C23—21no—
1593C23—2922no—
1594C23—2922no—
1595C23—5841no—
1596C23—5841no—
1597C23—5841no—
1598C23—5841no—
1599C23—731no—
1600C23—1461no—
1601C23—1461no—
1602C23—1461no—
1603C23—1461no—
1604C23C2×D4×D7311yescharacteristic
1605C23C2×D4×D7311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—81no—
1613Q8—81no—
1614Q8—2922no—
1615Q8—2921no—
1616Q8—2922no—
1617Q8—732no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621D4—22no—
1622D4—21no—
1623D4—21no—
1624D4—42no—
1625D4—81no—
1626D4—2922no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—2921no—
1632D4—2922no—
1633D4—2922no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—1462no—
1643D4—1461no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2921no—
1669C2×C4—2921no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2922no—
1673C2×C4—2921no—
1674C2×C4—2921no—
1675C2×C4—2921no—
1676C2×C4—2922no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—731no—
1687C2×C4—731no—
1688C2×C4—731no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1462no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4—1461no—
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C24×D7311yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—11682no—
1730C22—11682no—
1731C22—1461no—
1732C22—1461no—
1733C22—1461no—
1734C22#1798938612yes—
1735C22C22×D4×D7311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—1462no—
1751C4—1461no—
1752C4—1461no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4H(5,𝔽2)×D7311yescharacteristic
1759C4#1798942311yescharacteristic
1760C2—22no—
1761C2—41no—
1762C2—81no—
1763C2—2921no—
1764C2—5841no—
1765C2—5841no—
1766C2—5841no—
1767C2—5841no—
1768C2#2262359411yescharacteristic
1769C2C2×#1798938611yescharacteristic
1770C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3320C2
socleC22×C73C23×D4
hypercenter#3320D73
hypocenterC73#61992
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #22623893C2semidirect
2. #22623525C2semidirect
3. #22623020C2semidirect
4. #22623004C2semidirect
5. #22622768C2semidirect
6. #22622702C2semidirect
7. #22622066C2semidirect
8. #22621998C2semidirect
9. #22621970C2semidirect
10. #22621829C2semidirect
11. #22621779C2semidirect
12. #22621665C2semidirect
13. #22621635C2semidirect
14. #22621519C2semidirect
15. #22621502C2semidirect
16. #22621478C2semidirect
17. #22621431C2semidirect
18. #22621328C2semidirect
19. #22621285C2semidirect
20. #22621252C2semidirect
21. #22620971C2semidirect
22. #22620917C2semidirect
23. #22620895C2semidirect
24. #22620105C2semidirect
25. #22620044C2semidirect
26. #22619952C2semidirect
27. #22619428C2semidirect
28. #22619387C2semidirect
29. C2×#17988812C2semidirect
30. #22619051C2semidirect
31. C73×#3320C2semidirect
32. C2×#14556622C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556612C22semidirect
36. C22×#11924018C22semidirect
40. #17989320C22semidirect
41. #17989314C22semidirect
43. #17989305C22semidirect
47. #17989285C22semidirect
51. #17989255C22semidirect
55. #17989243C22semidirect
65. #17989132C22semidirect
69. #17989122C22semidirect
71. #17989118C22semidirect
76. #17989055C22semidirect
79. C4×#11924027C22semidirect
80. C2×#14556556C22semidirect
81. #17988979C22semidirect
84. #17988973C22semidirect
86. #17988968C22semidirect
89. #17988948C22semidirect
91. #17988943C22semidirect
92. #17988927C22semidirect
96. #17988896C22semidirect
97. #17988893C22semidirect
98. #17988893C22semidirect
99. #17988890C22semidirect
100. #17988886C22semidirect
101. #17988885C22semidirect
103. #17988880C22semidirect
104. #17988876C22semidirect
105. #17988843C22semidirect
108. #17988827C22semidirect
112. #17988819C22semidirect
113. #17988818C22semidirect
120. #17988812C22semidirect
121. #17988812C22semidirect
122. #17988812C22semidirect
123. #17988812C22semidirect
124. #17988812C22semidirect
125. #17988812C22semidirect
126. #17988812C22semidirect
127. #17988809C22semidirect
128. #17988807C22semidirect
131. #17988805C22semidirect
132. #17988805C22semidirect
133. #17988805C22semidirect
135. #17988804C22semidirect
136. #17988804C22semidirect
138. #17988801C22semidirect
139. #17988794C22semidirect
141. #17988785C22semidirect
143. #17988781C22semidirect
144. #17988752C22semidirect
145. #17988752C22semidirect
146. #17988747C22semidirect
147. #17988746C22semidirect
148. #17988743C22semidirect
149. #17988742C22semidirect
151. #17988735C22semidirect
152. #17988735C22semidirect
156. #17988726C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
163. #17988692C22semidirect
164. #17988691C22semidirect
165. #17988691C22semidirect
167. #17988686C22semidirect
168. #17988686C22semidirect
169. #17988679C22semidirect
170. #17988674C22semidirect
171. #17988672C22semidirect
172. #17988669C22semidirect
173. #17988661C22semidirect
175. #17988656C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
185. #17988582C22semidirect
186. #17988582C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #479×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #461×C73C22semidirect
197. #448×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
201. #419×C73C22semidirect
202. C2×#103×C73C22semidirect
892. #3320D73semidirect
917. C73#61992semidirect
975. #491C2×D73semidirect
982. #485C2×D73semidirect
983. #484C2×D73semidirect
990. #479C2×D73semidirect
1000. #468C2×D73semidirect
1008. #465C2×D73semidirect
1034. #461C2×D73semidirect
1052. #448C2×D73semidirect
1053. #448C2×D73semidirect
1066. #440C2×D73semidirect
1083. #419C2×D73semidirect
1087. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238932
#226235252
#226230202
#226230042
#226227682
#226227022
#226220662
#226219982
#226219702
#226218292
#226217792
#226216652
#226216352
#226215192
#226215022
#226214782
#226214312
#226213282
#226212852
#226212522
#226209712
#226209172
#226208952
#226201052
#226200442
#226199522
#226194282
#226193872
C2×#179888122
#226190512
C73×#33202
#6199273