Finite Group Databasebeta

← #33978981

Subgroups — #33978981

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#22623885C211yesmaximal, characteristic, complemented
2#22623523C211yesmaximal, characteristic, complemented
3#22623018C211yesmaximal, characteristic, complemented
4#22622998C211yesmaximal, characteristic, complemented
5#22622780C211yesmaximal, characteristic, complemented
6#22622698C211yesmaximal, characteristic, complemented
7#22622103C211yesmaximal, characteristic, complemented
8#22622075C211yesmaximal, characteristic, complemented
9#22621961C211yesmaximal, characteristic, complemented
10#22621836C211yesmaximal, characteristic, complemented
11#22621782C211yesmaximal, characteristic, complemented
12#22621675C211yesmaximal, characteristic, complemented
13#22621636C211yesmaximal, characteristic, complemented
14#22621517C211yesmaximal, characteristic, complemented
15#22621504C211yesmaximal, characteristic, complemented
16#22621476C211yesmaximal, characteristic, complemented
17#22621433C211yesmaximal, characteristic, complemented
18#22621328C211yesmaximal, characteristic, complemented
19#22621284C211yesmaximal, characteristic, complemented
20#22621260C211yesmaximal, characteristic, complemented
21#22620972C211yesmaximal, characteristic, complemented
22#22620919C211yesmaximal, characteristic, complemented
23#22620901C211yesmaximal, characteristic, complemented
24#22620106C211yesmaximal, characteristic, complemented
25#22620043C211yesmaximal, characteristic, complemented
26#22619944C211yesmaximal, characteristic, complemented
27#22619428C211yesmaximal, characteristic, complemented
28#22619384C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3313C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic, complemented
33C2×#14556619C2211yescharacteristic
34C2×#14556613C2211yescharacteristic, complemented
35C2×#14556611C2211yescharacteristic, complemented
36C2×Q16×D73C2211yescharacteristic, complemented
37C2×SD16×D73C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989319—21no—
40#17989319C2211yescharacteristic
41#17989312C2211yescharacteristic, complemented
42#17989309—21no—
43#17989309C2211yescharacteristic
44#17989299—21no—
45#17989288—21no—
46#17989288—21no—
47#17989281C2211yescharacteristic
48#17989281C2211yescharacteristic, complemented
49#17989266—21no—
50#17989264—21no—
51#17989258C2211yescharacteristic, complemented
52Q8×C22⋊D73C2211yescharacteristic
53#17989247C2211yescharacteristic
54#17989247C2211yescharacteristic
55#17989247C2211yescharacteristic, complemented
56#17989233C2211yescharacteristic
57#17989226—21no—
58#17989225C2211yescharacteristic
59#17989221C2211yescharacteristic
60#17989207—21no—
61#17989174—21no—
62#17989171—21no—
63#17989138C2211yescharacteristic, complemented
64#17989136—21no—
65#17989133C2211yescharacteristic
66#17989124C2211yescharacteristic
67#17989123C2211yescharacteristic
68#17989123C2211yescharacteristic, complemented
69#17989123C2211yescharacteristic, complemented
70#17989120—21no—
71#17989120—21no—
72#17989118C2211yescharacteristic
73C2×#14556580C2211yescharacteristic
74#124×D73C2211yescharacteristic
75#17989059—21no—
76C4×#11924029—21no—
77#17989055C2211yescharacteristic, complemented
78#17989055C2211yescharacteristic, complemented
79C4×#11924027C2211yescharacteristic
80C4×Q8×D73C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988977C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic
84#17988973C2211yescharacteristic
85#17988972C2211yescharacteristic
86#17988972C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic
89#17988949C2211yescharacteristic
90#17988943C2211yescharacteristic
91#17988943C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic
95#17988907C2211yescharacteristic
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988896C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic
101#17988890C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988874C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic
107#17988833C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic
109#17988824C2211yescharacteristic
110#17988823C2211yescharacteristic
111#17988819C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic
114#17988818C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic
116#17988812C2211yescharacteristic
117#17988812C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988812C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic
121#17988811C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988810C2211yescharacteristic
124#17988809C2211yescharacteristic
125#17988808C2211yescharacteristic, complemented
126#17988807C2211yescharacteristic, complemented
127#17988806C2211yescharacteristic, complemented
128#17988805C2211yescharacteristic
129#17988805C2211yescharacteristic
130#17988805C2211yescharacteristic
131#17988805C2211yescharacteristic
132#17988805C2211yescharacteristic, complemented
133#17988805C2211yescharacteristic, complemented
134#17988805C2211yescharacteristic, complemented
135#17988804C2211yescharacteristic, complemented
136#17988801C2211yescharacteristic, complemented
137#17988801C2211yescharacteristic, complemented
138#17988796C2211yescharacteristic, complemented
139#17988791C2211yescharacteristic, complemented
140#17988787C2211yescharacteristic, complemented
141#17988786C2211yescharacteristic
142#17988783C2211yescharacteristic, complemented
143#17988781C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988747C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988741C2211yescharacteristic, complemented
148#17988737C2211yescharacteristic
149#17988734C2211yescharacteristic
150#17988734C2211yescharacteristic, complemented
151#17988732C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic
153#17988727C2211yescharacteristic
154#17988727C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988726C2211yescharacteristic, complemented
157#17988723C2211yescharacteristic
158#17988722C2211yescharacteristic
159#17988722C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic
163#17988692C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988689C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic
168#17988685C2211yescharacteristic, complemented
169#17988681C2211yescharacteristic, complemented
170#17988678C2211yescharacteristic, complemented
171#17988674C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic
174#17988659C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic
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#17988581C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188#556×C73C2211yescharacteristic, complemented
189#548×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic
193#477×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic
195#467×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027D411yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213#14556622—42no—
214#14556619—42no—
215#14556613—42no—
216#14556611—42no—
217C2×Dic292C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221Q16×D73—42no—
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233SD16×D73—42no—
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244#14556589—21no—
245#14556589—21no—
246#14556589C2311yescharacteristic
247#14556588C2311yescharacteristic
248#14556587—21no—
249#14556587C2311yescharacteristic
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556585—21no—
256#14556585—21no—
257#14556585—21no—
258#14556584—21no—
259#14556582C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556582C2311yescharacteristic
262#14556581—21no—
263#14556581—21no—
264#14556580—21no—
265#14556580—21no—
266#14556580—21no—
267#14556580C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556580C2311yescharacteristic
270#14556580C2311yescharacteristic
271#14556580C2311yescharacteristic
272#14556580C2311yescharacteristic
273#14556579—21no—
274#14556579C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556575—21no—
287#14556575—21no—
288#14556575—21no—
289#14556575—21no—
290#14556574—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556572—21no—
295#14556570—21no—
296#14556570C2311yescharacteristic
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556567—21no—
302#14556567C2311yescharacteristic
303#14556566—21no—
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325#14556559—21no—
326Q8×Dic73—21no—
327Q8×Dic73C2311yescharacteristic
328Q8×Dic73C2311yescharacteristic
329C4×Dic146—21no—
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556D411yescharacteristic
334#14556556C2311yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338C4×D292—21no—
339C4×D292—21no—
340C4×D292—21no—
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343D4×Dic73—21no—
344D4×Dic73D411yescharacteristic
345D4×Dic73C2311yescharacteristic
346#14556553—21no—
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⋊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#14556549D411yescharacteristic
375#14556548—21no—
376#14556548—21no—
377#14556548—21no—
378#14556548—21no—
379#14556547—21no—
380#14556547D411yescharacteristic
381#14556547D411yescharacteristic
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C2×#11924005—21no—
385C2×#11924005—21no—
386C2×#11924005—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73C2311yescharacteristic
391C2×C4×Dic73C2311yescharacteristic
392C42×D73—21no—
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#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
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
441C2×#41×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#126×C73—21no—
450#126×C73—21no—
451#124×C73—21no—
452#124×C73—21no—
453#124×C73C2311yescharacteristic
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460C4×Q8×C73—21no—
461C4×Q8×C73C2311yescharacteristic
462C4×Q8×C73C2311yescharacteristic
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466#117×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#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—44no—
487#11924028—22no—
488#11924028—22no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493#11924027—42no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—22no—
500Q8×D73—41no—
501Q8×D73—41no—
502Q8×D73—41no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—41no—
510C2×D292—41no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—44no—
529C22×Dic73—21no—
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
532C22×Dic73C2×D411yescharacteristic
533C22×Dic73C2×D411yescharacteristic
534C2×C4×D73—21no—
535C2×C4×D73—21no—
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×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549Dic292—22no—
550#11924018—22no—
551#11924018—22no—
552#11924018—41no—
553#11924017—22no—
554#11924017—22no—
555#11924017—41no—
556#11924017—41no—
557#11924016—22no—
558#11924015—41no—
559#11924015—41no—
560#11924015—41no—
561#11924015—41no—
562#11924015—41no—
563#11924015—41no—
564D584—41no—
565D584—41no—
566D584—41no—
567D584—41no—
568#11924013—41no—
569#11924013—41no—
570#11924012—41no—
571C2×#10596831—41no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C8×D73—41no—
577C8×D73—41no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
635#11924005—21no—
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
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
654#41×C73—41no—
655#41×C73—41no—
656C2×Q8×C73—21no—
657C2×Q8×C73—21no—
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×C73C2411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671Q16×C73—41no—
672Q16×C73—41no—
673SD16×C73—41no—
674M16×C73—41no—
675C2×C8×C73—41no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2×D411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73C2×D411yescharacteristic
700C22⋊C4×C73C2×D411yescharacteristic
701C42×C73—21no—
702C42×C73—21no—
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—42no—
727Q8×C73—81no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—41no—
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×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C2511yescharacteristic
751C22⋊D73—22no—
752C22⋊D73—22no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—41no—
767C2×Dic73—41no—
768C2×Dic73—41no—
769C2×Dic73—41no—
770C2×Dic73—81no—
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—42no—
787D292—42no—
788D292—42no—
789D292—42no—
790D292—81no—
791D292—81no—
792C4×D73—22no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—41no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—81no—
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—81no—
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—21no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—41no—
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—162no—
848C2×D73—162no—
849C2×D73#57512yes—
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—41no—
876C2×C73—41no—
877C2×C73—81no—
878C2×C73#348811yescharacteristic
879C2×C73C2×#57511yescharacteristic
880C2×C73#358411yescharacteristic
881D73—22no—
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#3320—731no—
893#3318—731no—
894#3313D7311yescharacteristic, complemented
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—1461no—
930#556C2×D7311yescharacteristic, complemented
931#555—1461no—
932#553—731no—
933#553—731no—
934#553—1461no—
935#553—1461no—
936#551—1461no—
937#551—1461no—
938#550—731no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#548—731no—
943#548C2×D7311yescharacteristic
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#491—731no—
976#490—731no—
977#489—731no—
978#489C2×D7311yescharacteristic, complemented
979#488—731no—
980#488—731no—
981#485—731no—
982#485C2×D7311yescharacteristic, complemented
983#484—731no—
984#482—731no—
985#482C2×D7311yescharacteristic
986#481—731no—
987#479—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#478—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#477C2×D7311yescharacteristic, complemented
996#476—731no—
997#470—731no—
998#469—731no—
999#468—731no—
1000#468C2×D7311yescharacteristic
1001#467C2×D7311yescharacteristic, complemented
1002#466—731no—
1003#466—731no—
1004#466—731no—
1005#465—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
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#464C2×D7311yescharacteristic, complemented
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#461—731no—
1035#460—731no—
1036#460—731no—
1037#459—731no—
1038#459—731no—
1039#452—731no—
1040#452—731no—
1041#452—731no—
1042#452C2×D7311yescharacteristic, complemented
1043#451—731no—
1044#451C2×D7311yescharacteristic, complemented
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#449—731no—
1050#448—731no—
1051#448—731no—
1052#448—731no—
1053#448—731no—
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#441C2×D7311yescharacteristic, complemented
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×D8—731no—
1071#435—731no—
1072#435—731no—
1073#435—731no—
1074#435C2×D7311yescharacteristic, complemented
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#416C2×D7311yescharacteristic, complemented
1087C2×#103—731no—
1088C2×#102—731no—
1089C2×#41—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—1461no—
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8—731no—
1096C22×Q8—731no—
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×Q16C22×D7311yescharacteristic
1111C2×Q16C22×D7311yescharacteristic
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×SD16—731no—
1123C2×SD16—731no—
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—731no—
1138C4⋊Q8—1461no—
1139C4⋊Q8—1461no—
1140C4⋊Q8C22×D7311yescharacteristic
1141#127—731no—
1142#127—731no—
1143#127—1461no—
1144#126—21no—
1145#126—21no—
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—731no—
1158#125—1461no—
1159#125—1461no—
1160#124—21no—
1161#124—21no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—731no—
1169#124—731no—
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#124C22×D7311yescharacteristic
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—
1193#123—1461no—
1194C22⋊Q8—21no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8C22×D7311yescharacteristic
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—731no—
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#121—1461no—
1226#121C22×D7311yescharacteristic
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—21no—
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×Q8C22×D7311yescharacteristic
1245C4×Q8C22×D7311yescharacteristic
1246C4×D4—21no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—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×D4—1461no—
1280C4×D4C22×D7311yescharacteristic
1281#117—731no—
1282#117—731no—
1283#117—731no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117C22×D7311yescharacteristic
1293#117C22×D7311yescharacteristic
1294C2×C4⋊C4—731no—
1295C2×C4⋊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×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#103—731no—
1334#103—731no—
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#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
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—41no—
1373#41—41no—
1374#41—2921no—
1375#41—2921no—
1376#41—2921no—
1377#41—2921no—
1378#41—2922no—
1379#41—2924no—
1380#41—1462no—
1381#41—1462no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—2921no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8—1462no—
1395C2×Q8C23×D7311yescharacteristic
1396C2×Q8C23×D7311yescharacteristic
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—2921no—
1401C2×D4—2921no—
1402C2×D4—2924no—
1403C2×D4—2921no—
1404C2×D4—2921no—
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—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
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×C4—1461no—
1450C22×C4C23×D7311yescharacteristic
1451C22×C4C23×D7311yescharacteristic
1452Q16—41no—
1453Q16—41no—
1454Q16—2921no—
1455Q16—1462no—
1456Q16—1462no—
1457Q16—1462no—
1458SD16—41no—
1459SD16—2921no—
1460SD16—2921no—
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—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
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⋊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—21no—
1533C22⋊C4—21no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
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—21no—
1574C42—21no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
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—42no—
1613Q8—81no—
1614Q8—2921no—
1615Q8—2922no—
1616Q8—5841no—
1617Q8—732no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621D4—21no—
1622D4—21no—
1623D4—41no—
1624D4—42no—
1625D4—81no—
1626D4—2922no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—1462no—
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—2922no—
1665C2×C4—2922no—
1666C2×C4—2921no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2921no—
1672C2×C4—2921no—
1673C2×C4—2921no—
1674C2×C4—2921no—
1675C2×C4—5841no—
1676C2×C4—5841no—
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—1462no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
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—21no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—732no—
1731C22—11682no—
1732C22—11682no—
1733C22—1461no—
1734C22—1461no—
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—41no—
1761C2—41no—
1762C2—81no—
1763C2—5841no—
1764C2—5841no—
1765C2—5841no—
1766C2—5841no—
1767C2—1462no—
1768C2#2262359411yescharacteristic
1769C2#575×D7311yescharacteristic
1770C2#2262470111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3313C2
socleC22×C73C23×D4
hypercenter#3313D73
hypocenterC73#61992
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #22623885C2semidirect
2. #22623523C2semidirect
3. #22623018C2semidirect
4. #22622998C2semidirect
5. #22622780C2semidirect
6. #22622698C2semidirect
7. #22622103C2semidirect
8. #22622075C2semidirect
9. #22621961C2semidirect
10. #22621836C2semidirect
11. #22621782C2semidirect
12. #22621675C2semidirect
13. #22621636C2semidirect
14. #22621517C2semidirect
15. #22621504C2semidirect
16. #22621476C2semidirect
17. #22621433C2semidirect
18. #22621328C2semidirect
19. #22621284C2semidirect
20. #22621260C2semidirect
21. #22620972C2semidirect
22. #22620919C2semidirect
23. #22620901C2semidirect
24. #22620106C2semidirect
25. #22620043C2semidirect
26. #22619944C2semidirect
27. #22619428C2semidirect
28. #22619384C2semidirect
29. #464×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3313C2semidirect
32. C2×#14556622C22semidirect
34. C2×#14556613C22semidirect
35. C2×#14556611C22semidirect
36. C2×Q16×D73C22semidirect
38. #17989322C22semidirect
41. #17989312C22semidirect
48. #17989281C22semidirect
51. #17989258C22semidirect
55. #17989247C22semidirect
63. #17989138C22semidirect
68. #17989123C22semidirect
69. #17989123C22semidirect
77. #17989055C22semidirect
78. #17989055C22semidirect
80. C4×Q8×D73C22semidirect
81. #17988980C22semidirect
82. #17988977C22semidirect
86. #17988972C22semidirect
87. #17988954C22semidirect
91. #17988943C22semidirect
92. #17988928C22semidirect
93. #17988921C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988896C22semidirect
99. #17988893C22semidirect
101. #17988890C22semidirect
102. #17988890C22semidirect
103. #17988885C22semidirect
104. #17988874C22semidirect
105. #17988843C22semidirect
107. #17988833C22semidirect
111. #17988819C22semidirect
112. #17988819C22semidirect
114. #17988818C22semidirect
117. #17988812C22semidirect
118. #17988812C22semidirect
119. #17988812C22semidirect
121. #17988811C22semidirect
122. #17988811C22semidirect
125. #17988808C22semidirect
126. #17988807C22semidirect
127. #17988806C22semidirect
132. #17988805C22semidirect
133. #17988805C22semidirect
134. #17988805C22semidirect
135. #17988804C22semidirect
136. #17988801C22semidirect
137. #17988801C22semidirect
138. #17988796C22semidirect
139. #17988791C22semidirect
140. #17988787C22semidirect
142. #17988783C22semidirect
144. #17988751C22semidirect
145. #17988747C22semidirect
146. #17988747C22semidirect
147. #17988741C22semidirect
150. #17988734C22semidirect
151. #17988732C22semidirect
154. #17988727C22semidirect
155. #17988727C22semidirect
156. #17988726C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
163. #17988692C22semidirect
164. #17988691C22semidirect
165. #17988690C22semidirect
166. #17988689C22semidirect
168. #17988685C22semidirect
169. #17988681C22semidirect
170. #17988678C22semidirect
171. #17988674C22semidirect
172. #17988667C22semidirect
174. #17988659C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
185. #17988581C22semidirect
186. #103×D73C22semidirect
188. #556×C73C22semidirect
190. #489×C73C22semidirect
191. #485×C73C22semidirect
193. #477×C73C22semidirect
195. #467×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #441×C73C22semidirect
200. #435×C73C22semidirect
201. #419×C73C22semidirect
202. #416×C73C22semidirect
894. #3313D73semidirect
917. C73#61992semidirect
930. #556C2×D73semidirect
978. #489C2×D73semidirect
982. #485C2×D73semidirect
995. #477C2×D73semidirect
1001. #467C2×D73semidirect
1022. #464C2×D73semidirect
1042. #452C2×D73semidirect
1044. #451C2×D73semidirect
1062. #441C2×D73semidirect
1074. #435C2×D73semidirect
1083. #419C2×D73semidirect
1086. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
#226235232
#226230182
#226229982
#226227802
#226226982
#226221032
#226220752
#226219612
#226218362
#226217822
#226216752
#226216362
#226215172
#226215042
#226214762
#226214332
#226213282
#226212842
#226212602
#226209722
#226209192
#226209012
#226201062
#226200432
#226199442
#226194282
#226193842
#464×D732
#226190512
C73×#33132
#6199273