Finite Group Databasebeta

← #33978925

Subgroups — #33978925

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623883C211yesmaximal, characteristic, complemented
2#22623496C211yesmaximal, characteristic, complemented
3#22623011C211yesmaximal, characteristic, complemented
4#22622990C211yesmaximal, characteristic, complemented
5#22622761C211yesmaximal, characteristic, complemented
6#22622679C211yesmaximal, characteristic, complemented
7#22622120C211yesmaximal, characteristic, complemented
8#22622088C211yesmaximal, characteristic, complemented
9#22621976C211yesmaximal, characteristic, complemented
10#22621816C211yesmaximal, characteristic, complemented
11#22621762C211yesmaximal, characteristic, complemented
12#22621635C211yesmaximal, characteristic, complemented
13#22621609C211yesmaximal, characteristic, complemented
14#22621493C211yesmaximal, characteristic, complemented
15#22621454C211yesmaximal, characteristic, complemented
16#22621446C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22621328C211yesmaximal, characteristic, complemented
19#22621282C211yesmaximal, characteristic, complemented
20#22621261C211yesmaximal, characteristic, complemented
21#22620969C211yesmaximal, characteristic, complemented
22#22620931C211yesmaximal, characteristic, complemented
23#22620899C211yesmaximal, characteristic, complemented
24#22620066C211yesmaximal, characteristic, complemented
25#22620038C211yesmaximal, characteristic, complemented
26#22619944C211yesmaximal, characteristic, complemented
27#22619424C211yesmaximal, characteristic, complemented
28#22619381C211yesmaximal, characteristic, complemented
29C2×#17988801C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic, complemented
33C2×#14556617C2211yescharacteristic
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic, complemented
36C22×#11924017C2211yescharacteristic, complemented
37C22×#11924013C2211yescharacteristic
38#17989323C2211yescharacteristic, complemented
39#17989309C2211yescharacteristic, complemented
40#17989307C2211yescharacteristic, complemented
41#17989301—21no—
42#17989300C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989288—21no—
45#17989272C2211yescharacteristic, complemented
46#17989269—21no—
47#17989268—21no—
48#17989268—21no—
49#17989261—21no—
50#17989260—21no—
51D4×Dic146C2211yescharacteristic
52#17989243C2211yescharacteristic
53#17989243C2211yescharacteristic, complemented
54#17989239C2211yescharacteristic, complemented
55#17989233C2211yescharacteristic
56#17989231—21no—
57#17989231C2211yescharacteristic
58#17989231C2211yescharacteristic, complemented
59#17989228C2211yescharacteristic, complemented
60#17989204—21no—
61#17989172—21no—
62#17989172—21no—
63#17989139C2211yescharacteristic, complemented
64#17989135C2211yescharacteristic, complemented
65#17989123C2211yescharacteristic, complemented
66#17989122—21no—
67#17989122C2211yescharacteristic, complemented
68#17989120—21no—
69#17989119C2211yescharacteristic, complemented
70#17989118C2211yescharacteristic
71#17989118C2211yescharacteristic, complemented
72C2×#14556578C2211yescharacteristic
73C2×#14556578C2211yescharacteristic, complemented
74#17989095—21no—
75#17989062—21no—
76C4×#11924029C2211yescharacteristic, complemented
77#17989055C2211yescharacteristic, complemented
78C4×#11924027C2211yescharacteristic
79C2×#14556553C2211yescharacteristic, complemented
80#117×D73—21no—
81#17988981C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988974C2211yescharacteristic
85#17988968C2211yescharacteristic
86#17988968C2211yescharacteristic, complemented
87#17988957C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988940C2211yescharacteristic, complemented
91#17988940C2211yescharacteristic, complemented
92#17988930C2211yescharacteristic, complemented
93#17988928C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic
107#17988833C2211yescharacteristic, complemented
108#17988829C2211yescharacteristic, complemented
109#17988828C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic
112#17988817C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic
115#17988812C2211yescharacteristic, complemented
116#17988810C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic
127#17988801C2211yescharacteristic
128#17988801C2211yescharacteristic
129#17988801C2211yescharacteristic
130#17988801C2211yescharacteristic
131#17988801C2211yescharacteristic
132#17988801C2211yescharacteristic, complemented
133#17988801C2211yescharacteristic, complemented
134#17988801C2211yescharacteristic, complemented
135#17988801C2211yescharacteristic, complemented
136#17988801C2211yescharacteristic, complemented
137#17988801C2211yescharacteristic, complemented
138#17988801C2211yescharacteristic, complemented
139#17988797C2211yescharacteristic, complemented
140#17988796C2211yescharacteristic, complemented
141#17988793C2211yescharacteristic, complemented
142#17988790C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic
144#17988752C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic, complemented
146#17988750C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988745C2211yescharacteristic, complemented
149#17988742C2211yescharacteristic, complemented
150#17988742C2211yescharacteristic, complemented
151#17988740C2211yescharacteristic, complemented
152#17988738C2211yescharacteristic
153#17988733C2211yescharacteristic, complemented
154#17988733C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic
156#17988730C2211yescharacteristic
157#17988728C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic
159#17988720C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic
163#17988696C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988692C2211yescharacteristic, complemented
166#17988689C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic, complemented
168#17988686C2211yescharacteristic, complemented
169#17988681C2211yescharacteristic, complemented
170#17988678C2211yescharacteristic, complemented
171#17988674C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, 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#17988595C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187C2×#14556514C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#418×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×Dic146C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×C4×D73—21no—
212#14556624—42no—
213#14556617—42no—
214#14556612—42no—
215#14556612—42no—
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924017—42no—
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924013—42no—
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924012C2311yescharacteristic
240C22×#10596831C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556591C2311yescharacteristic
244#14556590—21no—
245#14556590C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556585—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556582C2311yescharacteristic
258#14556582C2311yescharacteristic
259#14556581—21no—
260#14556581—21no—
261#14556580C2311yescharacteristic
262#14556579—21no—
263#14556579C2311yescharacteristic
264#14556578—21no—
265#14556578—21no—
266#14556578—21no—
267#14556578—21no—
268#14556578—21no—
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556578C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556575—21no—
284#14556574—21no—
285#14556573—21no—
286#14556573—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572—21no—
292#14556572—21no—
293#14556571—21no—
294#14556571C2311yescharacteristic
295#14556571C2311yescharacteristic
296#14556570—21no—
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556566—21no—
309#14556566C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556560—21no—
323#14556560—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556D411yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292C2311yescharacteristic
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73—21no—
341D4×Dic73—21no—
342D4×Dic73—21no—
343D4×Dic73—21no—
344D4×Dic73D411yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553—21no—
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73C2311yescharacteristic
358C4×C22⋊D73C2311yescharacteristic
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551D411yescharacteristic
363#14556551D411yescharacteristic
364#14556550—21no—
365#14556550—21no—
366#14556550—21no—
367#14556549—21no—
368#14556549—21no—
369#14556549—21no—
370#14556549D411yescharacteristic
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548—21no—
374#14556548—21no—
375#14556547—21no—
376#14556547—21no—
377#14556547—21no—
378#14556547D411yescharacteristic
379#14556547D411yescharacteristic
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C2×C22⋊Dic73—21no—
383C2×C22⋊Dic73—21no—
384C2×C22⋊Dic73—21no—
385C2×C22⋊Dic73—21no—
386C2×C22⋊Dic73—21no—
387C2×C22⋊Dic73—21no—
388C2×#11924005—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C2×C4×Dic73C2311yescharacteristic
392C2×C4×Dic73C2311yescharacteristic
393C42×D73—21no—
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#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×D4×C73—21no—
442C22×D4×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×M16×C73C2311yescharacteristic
448C22×C8×C73C2311yescharacteristic
449#127×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73—21no—
452#125×C73C2311yescharacteristic
453#123×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456#121×C73—21no—
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460#120×C73—21no—
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73—21no—
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—22no—
486#11924029—41no—
487#11924028—22no—
488#11924028—41no—
489#11924027—41no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—42no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—41no—
498C2×Dic146—41no—
499C2×Dic146—41no—
500C2×Dic146—41no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×D292—22no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73C2×D411yescharacteristic
519C2×C22⋊D73C2×D411yescharacteristic
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73C2×D411yescharacteristic
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—44no—
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2411yescharacteristic
542Dic292—41no—
543Dic292—41no—
544Dic292—41no—
545#11924018—41no—
546#11924018—41no—
547#11924018—41no—
548#11924017—22no—
549#11924017—22no—
550#11924017—22no—
551#11924017—41no—
552#11924017—41no—
553#11924017—41no—
554#11924016—41no—
555#11924016—41no—
556#11924016—41no—
557#11924013—22no—
558#11924013—22no—
559#11924013—22no—
560#11924013—41no—
561#11924013—41no—
562#11924013—41no—
563#11924012—41no—
564C2×#10596831—41no—
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C8×D73—41no—
570C8×D73—41no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73C2×D411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
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#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73C2×D411yescharacteristic
619C22⋊Dic73C2×D411yescharacteristic
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C24×C73—21no—
654C24×C73—21no—
655C2×Q8×C73C2411yescharacteristic
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73—41no—
665C2×D4×C73—41no—
666C2×D4×C73—44no—
667C2×D4×C73C2×D411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675SD16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678M16×C73—41no—
679C2×C8×C73—41no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
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×C73—21no—
708C23×C73—21no—
709C23×C73—42no—
710C23×C73—42no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73C22×D411yescharacteristic
716C23×C73C22×D411yescharacteristic
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—42no—
720C22×D73—42no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725D4×C73—22no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—42no—
733D4×C73—42no—
734D4×C73—42no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
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—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C2511yescharacteristic
754C22⋊D73—22no—
755C22⋊D73—41no—
756C22⋊D73—42no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C2×Dic73—22no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—41no—
769C2×Dic73—41no—
770C2×Dic73—41no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784D292—21no—
785D292—21no—
786D292—21no—
787D292—42no—
788D292—42no—
789D292—81no—
790D292H(5,𝔽2)12yes—
791C4×D73—21no—
792C4×D73—21no—
793C4×D73—41no—
794C4×D73—41no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—81no—
802C4×D73—81no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—41no—
812Dic146—81no—
813Dic146—81no—
814Dic146—81no—
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—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—162no—
838C22×C73—162no—
839C22×C73#57512yes—
840C22×C73C23×D411yescharacteristic
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—22no—
844C2×D73—21no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—84no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73C2×H(5,𝔽2)11yescharacteristic
861C4×C73#58511yescharacteristic
862Dic73—21no—
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—41no—
878C2×C73—81no—
879C2×C73—81no—
880C2×C73—81no—
881C2×C73#348811yescharacteristic
882C2×C73C2×#57511yescharacteristic
883C2×C73#358411yescharacteristic
884D73—41no—
885D73—42no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310D7311yescharacteristic, complemented
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16—731no—
924C22×D8—731no—
925#559—731no—
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—1461no—
934#552C2×D7311yescharacteristic
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—731no—
947#546—1461no—
948D42C2×D7311yescharacteristic
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
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#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—731no—
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490C2×D7311yescharacteristic, complemented
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482C2×D7311yescharacteristic, complemented
987#480C2×D7311yescharacteristic
988#479—731no—
989#479—731no—
990#479—731no—
991#479—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478C2×D7311yescharacteristic, complemented
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468C2×D7311yescharacteristic, complemented
1002#467—731no—
1003#467—731no—
1004#467—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465C2×D7311yescharacteristic
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#463—731no—
1021#463—731no—
1022#463—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#463—731no—
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460C2×D7311yescharacteristic, complemented
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452—731no—
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450C2×D7311yescharacteristic
1050#450C2×D7311yescharacteristic, complemented
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440C2×D7311yescharacteristic, complemented
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435C2×D7311yescharacteristic
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419—731no—
1085#418C2×D7311yescharacteristic, complemented
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102C2×D7311yescharacteristic
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—731no—
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×D4—21no—
1098C22×D4—731no—
1099C22×D4C22×D7311yescharacteristic
1100C22×D4C22×D7311yescharacteristic
1101C23×C4—1461no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—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—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×D8—731no—
1132C2×M16—731no—
1133C2×M16C22×D7311yescharacteristic
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C22×C8C22×D7311yescharacteristic
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—1461no—
1142#127C22×D7311yescharacteristic
1143#126—21no—
1144#126—1461no—
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#125—21no—
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#123—21no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
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—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8C22×D7311yescharacteristic
1209C22⋊Q8C22×D7311yescharacteristic
1210#121—21no—
1211#121—731no—
1212#121—731no—
1213#121—731no—
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#121C22×D7311yescharacteristic
1225#121C22×D7311yescharacteristic
1226#120—21no—
1227#120—21no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
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—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—21no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117C22×D7311yescharacteristic
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4C22×D7311yescharacteristic
1295C2×C22⋊C4—1461no—
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×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—1461no—
1308C2×C42—1461no—
1309#107—731no—
1310#107—731no—
1311#107C22×D7311yescharacteristic
1312#107C22×D7311yescharacteristic
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106C22×D7311yescharacteristic
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⋊C8—731no—
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103C22×D7311yescharacteristic
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102C22×D7311yescharacteristic
1351#102C22×D7311yescharacteristic
1352#102C22×D7311yescharacteristic
1353#102C22×D7311yescharacteristic
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8C22×D7311yescharacteristic
1364C22⋊C8C22×D7311yescharacteristic
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97C22×D7311yescharacteristic
1369C4×C8—731no—
1370C4×C8—731no—
1371C24—21no—
1372C24—21no—
1373C24—1461no—
1374#41—2921no—
1375#41—2922no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—2921no—
1381#41—1462no—
1382#41—1462no—
1383C2×Q8—2921no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—731no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8—1461no—
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—44no—
1407C2×D4—2921no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—1461no—
1413C2×D4—1462no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4D4×D7311yescharacteristic
1422C2×D4C23×D7311yescharacteristic
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—2924no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—2921no—
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—1462no—
1467SD16—1462no—
1468SD16—1462no—
1469D8—2921no—
1470D8—2921no—
1471D8—2921no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475M16—41no—
1476M16—2921no—
1477C2×C8—41no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
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⋊C4—1461no—
1522C4⋊C4D4×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
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⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4D4×D7311yescharacteristic
1573C22⋊C4D4×D7311yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42—1461no—
1591C42—1461no—
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—42no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—2922no—
1603C23—2922no—
1604C23—5841no—
1605C23—731no—
1606C23—1461no—
1607C23—1461no—
1608C23C2×D4×D7311yescharacteristic
1609C23C2×D4×D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—2921no—
1613Q8—5841no—
1614Q8—5841no—
1615Q8—5841no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—42no—
1632D4—42no—
1633D4—42no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—2922no—
1638D4—2922no—
1639D4—2922no—
1640D4—2921no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—732no—
1647D4—1462no—
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—42no—
1661C2×C4—42no—
1662C2×C4—2922no—
1663C2×C4—2921no—
1664C2×C4—2921no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2921no—
1671C2×C4—2921no—
1672C2×C4—2921no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—731no—
1687C2×C4—731no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1462no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—162no—
1725C22—162no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—5844no—
1732C22—1462no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22#1798938312yes—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4H(5,𝔽2)×D7311yescharacteristic
1761C4#1798942311yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—2922no—
1768C2—2921no—
1769C2—5841no—
1770C2#2262359411yescharacteristic
1771C2C2×#1798938311yescharacteristic
1772C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
hypercenter#3310D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22623883C2semidirect
2. #22623496C2semidirect
3. #22623011C2semidirect
4. #22622990C2semidirect
5. #22622761C2semidirect
6. #22622679C2semidirect
7. #22622120C2semidirect
8. #22622088C2semidirect
9. #22621976C2semidirect
10. #22621816C2semidirect
11. #22621762C2semidirect
12. #22621635C2semidirect
13. #22621609C2semidirect
14. #22621493C2semidirect
15. #22621454C2semidirect
16. #22621446C2semidirect
17. #22621407C2semidirect
18. #22621328C2semidirect
19. #22621282C2semidirect
20. #22621261C2semidirect
21. #22620969C2semidirect
22. #22620931C2semidirect
23. #22620899C2semidirect
24. #22620066C2semidirect
25. #22620038C2semidirect
26. #22619944C2semidirect
27. #22619424C2semidirect
28. #22619381C2semidirect
29. C2×#17988801C2semidirect
30. #22619051C2semidirect
31. C73×#3310C2semidirect
32. C2×#14556624C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556612C22semidirect
36. C22×#11924017C22semidirect
38. #17989323C22semidirect
39. #17989309C22semidirect
40. #17989307C22semidirect
42. #17989300C22semidirect
43. #17989293C22semidirect
45. #17989272C22semidirect
53. #17989243C22semidirect
54. #17989239C22semidirect
58. #17989231C22semidirect
59. #17989228C22semidirect
63. #17989139C22semidirect
64. #17989135C22semidirect
65. #17989123C22semidirect
67. #17989122C22semidirect
69. #17989119C22semidirect
71. #17989118C22semidirect
73. C2×#14556578C22semidirect
76. C4×#11924029C22semidirect
77. #17989055C22semidirect
79. C2×#14556553C22semidirect
81. #17988981C22semidirect
82. #17988978C22semidirect
83. #17988978C22semidirect
86. #17988968C22semidirect
87. #17988957C22semidirect
88. #17988945C22semidirect
89. #17988945C22semidirect
90. #17988940C22semidirect
91. #17988940C22semidirect
92. #17988930C22semidirect
93. #17988928C22semidirect
94. #17988917C22semidirect
95. #17988909C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988893C22semidirect
99. #17988891C22semidirect
100. #17988890C22semidirect
101. #17988890C22semidirect
102. #17988885C22semidirect
103. #17988871C22semidirect
104. #17988865C22semidirect
105. #17988843C22semidirect
107. #17988833C22semidirect
108. #17988829C22semidirect
109. #17988828C22semidirect
110. #17988826C22semidirect
112. #17988817C22semidirect
113. #17988815C22semidirect
115. #17988812C22semidirect
116. #17988810C22semidirect
117. #17988808C22semidirect
118. #17988808C22semidirect
119. #17988808C22semidirect
120. #17988808C22semidirect
121. #17988808C22semidirect
122. #17988807C22semidirect
123. #17988807C22semidirect
124. #17988807C22semidirect
125. #17988804C22semidirect
132. #17988801C22semidirect
133. #17988801C22semidirect
134. #17988801C22semidirect
135. #17988801C22semidirect
136. #17988801C22semidirect
137. #17988801C22semidirect
138. #17988801C22semidirect
139. #17988797C22semidirect
140. #17988796C22semidirect
141. #17988793C22semidirect
142. #17988790C22semidirect
144. #17988752C22semidirect
145. #17988751C22semidirect
146. #17988750C22semidirect
147. #17988750C22semidirect
148. #17988745C22semidirect
149. #17988742C22semidirect
150. #17988742C22semidirect
151. #17988740C22semidirect
153. #17988733C22semidirect
154. #17988733C22semidirect
157. #17988728C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
163. #17988696C22semidirect
164. #17988696C22semidirect
165. #17988692C22semidirect
166. #17988689C22semidirect
167. #17988686C22semidirect
168. #17988686C22semidirect
169. #17988681C22semidirect
170. #17988678C22semidirect
171. #17988674C22semidirect
172. #17988667C22semidirect
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
184. #17988595C22semidirect
185. #17988580C22semidirect
186. #17988580C22semidirect
187. C2×#14556514C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
193. #478×C73C22semidirect
194. #468×C73C22semidirect
196. #460×C73C22semidirect
198. #450×C73C22semidirect
199. #440×C73C22semidirect
201. #418×C73C22semidirect
896. #3310D73semidirect
918. C73#61990semidirect
977. #490C2×D73semidirect
986. #482C2×D73semidirect
995. #478C2×D73semidirect
1001. #468C2×D73semidirect
1038. #460C2×D73semidirect
1050. #450C2×D73semidirect
1067. #440C2×D73semidirect
1085. #418C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238832
#226234962
#226230112
#226229902
#226227612
#226226792
#226221202
#226220882
#226219762
#226218162
#226217622
#226216352
#226216092
#226214932
#226214542
#226214462
#226214072
#226213282
#226212822
#226212612
#226209692
#226209312
#226208992
#226200662
#226200382
#226199442
#226194242
#226193812
C2×#179888012
#226190512
C73×#33102
#6199073