Finite Group Databasebeta

← #33978719

Subgroups — #33978719

Order 18688.

2238 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623703C211yesmaximal, characteristic, complemented
2#22623538C211yesmaximal, characteristic, complemented
3#22622976C211yesmaximal, characteristic, complemented
4#22622974C211yesmaximal, characteristic, complemented
5#22622641C211yesmaximal, characteristic, complemented
6#22622635C211yesmaximal, characteristic, complemented
7#22622075C211yesmaximal, characteristic, complemented
8#22622073C211yesmaximal, characteristic, complemented
9#22622066C211yesmaximal, characteristic, complemented
10#22621753C211yesmaximal, characteristic, complemented
11#22621751C211yesmaximal, characteristic, complemented
12#22621605C211yesmaximal, characteristic, complemented
13#22621601C211yesmaximal, characteristic, complemented
14#22621418C211yesmaximal, characteristic, complemented
15#22621416C211yesmaximal, characteristic, complemented
16#22621409C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22621308C211yesmaximal, characteristic, complemented
19#22621256C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22620950C211yesmaximal, characteristic, complemented
22#22620947C211yesmaximal, characteristic, complemented
23#22620847C211yesmaximal, characteristic, complemented
24#22620020C211yesmaximal, characteristic, complemented
25#22620019C211yesmaximal, characteristic, complemented
26#22619986C211yesmaximal, characteristic, complemented
27#22619410C211yesmaximal, characteristic, complemented
28C2×#17988781C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3318C211yesmaximal, characteristic, complemented
32C2×#14556636—21no—
33C2×#14556619C2211yescharacteristic, complemented
34C2×#14556617C2211yescharacteristic, complemented
35C22×D584C2211yescharacteristic, complemented
36C22×#11924013C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic, complemented
38C2×D8×D73C2211yescharacteristic, complemented
39#17989320C2211yescharacteristic, complemented
40#17989293C2211yescharacteristic, complemented
41#17989292C2211yescharacteristic, complemented
42#17989282—21no—
43#17989281C2211yescharacteristic, complemented
44#17989266—21no—
45#17989262—21no—
46#17989258C2211yescharacteristic, complemented
47#17989257C2211yescharacteristic, complemented
48#17989255—21no—
49#17989234C2211yescharacteristic, complemented
50#17989233C2211yescharacteristic, complemented
51#17989226—21no—
52D4×D292C2211yescharacteristic, complemented
53#17989221C2211yescharacteristic
54#17989221C2211yescharacteristic, complemented
55#17989221C2211yescharacteristic, complemented
56D4×C22⋊D73—21no—
57D4×C22⋊D73C2211yescharacteristic
58D4×C22⋊D73C2211yescharacteristic, complemented
59#17989219—21no—
60#17989219—21no—
61#17989153—21no—
62#17989152—21no—
63#17989152—21no—
64#17989134C2211yescharacteristic, complemented
65#17989132C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic, complemented
68C2×#14556587C2211yescharacteristic, complemented
69C2×#14556587C2211yescharacteristic, complemented
70#127×D73C2211yescharacteristic, complemented
71#17989122C2211yescharacteristic, complemented
72#17989120—21no—
73#17989118C2211yescharacteristic, complemented
74#17989097—21no—
75#17989095—21no—
76#17989055C2211yescharacteristic, complemented
77C4×#11924027C2211yescharacteristic
78C2×#14556553C2211yescharacteristic, complemented
79C4×D4×D73—21no—
80C4×D4×D73C2211yescharacteristic, complemented
81#17988976C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988974C2211yescharacteristic, complemented
85#17988962C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic, complemented
89#17988950C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988905C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988890C2211yescharacteristic, complemented
97#17988889C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988875C2211yescharacteristic, complemented
105#17988840C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic, complemented
111#17988817C2211yescharacteristic, complemented
112#17988816C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988803C2211yescharacteristic, complemented
116#17988802C2211yescharacteristic, complemented
117#17988801C2211yescharacteristic, complemented
118#17988800C2211yescharacteristic, complemented
119#17988786C2211yescharacteristic, complemented
120#17988786C2211yescharacteristic, complemented
121#17988786C2211yescharacteristic, complemented
122#17988786C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988783C2211yescharacteristic, complemented
125#17988782C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988781C2211yescharacteristic, complemented
130#17988781C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic, complemented
132#17988781C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988740C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988738C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988723C2211yescharacteristic, complemented
151#17988723C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988721C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988698C2211yescharacteristic, complemented
165#17988697C2211yescharacteristic, complemented
166#17988697C2211yescharacteristic, complemented
167#17988696C2211yescharacteristic, complemented
168#17988696C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic, complemented
170#17988674C2211yescharacteristic, complemented
171#17988669C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988591C2211yescharacteristic, complemented
185C2×#14556511C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203#14556636—48no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027D411yescharacteristic
212C22×D292C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73—21no—
231C22×C4×D73—21no—
232#14556619—42no—
233#14556617—42no—
234C2×#11924017C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924017C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic
239C2×#11924016C2311yescharacteristic
240C2×D584—42no—
241C2×D584C2311yescharacteristic
242C2×D584C2311yescharacteristic
243C2×D584C2311yescharacteristic
244C2×D584C2311yescharacteristic
245C2×D584C2311yescharacteristic
246C2×D584C2311yescharacteristic
247C2×#11924013—42no—
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253C2×#11924013C2311yescharacteristic
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257D8×D73—42no—
258D8×D73—42no—
259C2×#11924012C2311yescharacteristic
260C22×#10596831C2311yescharacteristic
261C2×C8×D73C2311yescharacteristic
262C2×C8×D73C2311yescharacteristic
263#14556590C2311yescharacteristic
264#14556590C2311yescharacteristic
265#14556588C2311yescharacteristic
266#14556587—21no—
267#14556587—21no—
268#14556587—21no—
269#14556587—21no—
270#14556587—21no—
271#14556587—21no—
272#14556587C2311yescharacteristic
273#14556587C2311yescharacteristic
274#14556587C2311yescharacteristic
275#14556587C2311yescharacteristic
276#14556587C2311yescharacteristic
277#14556587C2311yescharacteristic
278#14556587C2311yescharacteristic
279#14556587C2311yescharacteristic
280#14556586—21no—
281#14556585—21no—
282#14556584—21no—
283#14556582C2311yescharacteristic
284#14556581—21no—
285#14556579C2311yescharacteristic
286#14556578C2311yescharacteristic
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556576—21no—
293#14556576—21no—
294#14556574—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573—21no—
298#14556572—21no—
299#14556571—21no—
300#14556571C2311yescharacteristic
301#14556570—21no—
302#14556570C2311yescharacteristic
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556562—21no—
329#14556562—21no—
330#14556562C2311yescharacteristic
331#14556561—21no—
332#14556561—21no—
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556560—21no—
337#14556560—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345C4×Dic146C2311yescharacteristic
346#14556556D411yescharacteristic
347#14556556C2311yescharacteristic
348#14556556C2311yescharacteristic
349C4×D292—21no—
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352D4×Dic73—21no—
353D4×Dic73D411yescharacteristic
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357#14556553—21no—
358#14556553—21no—
359#14556553—21no—
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365#14556553C2311yescharacteristic
366#14556553C2311yescharacteristic
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73C2311yescharacteristic
372C4×C22⋊D73C2311yescharacteristic
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551D411yescharacteristic
380#14556551D411yescharacteristic
381#14556549—21no—
382#14556549D411yescharacteristic
383#14556548—21no—
384#14556547—21no—
385#14556547D411yescharacteristic
386#14556547D411yescharacteristic
387C4⋊C4×D73—21no—
388C4⋊C4×D73C2311yescharacteristic
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C2×C4×Dic73C2311yescharacteristic
394C2×C4×Dic73C2311yescharacteristic
395C42×D73—21no—
396C42×D73C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556502C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C22×D4×C73—21no—
443C22×D4×C73C2311yescharacteristic
444C22×D4×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×M16×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450#127×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73C2311yescharacteristic
453#123×C73—21no—
454#121×C73—21no—
455#121×C73—21no—
456#121×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460#120×C73—21no—
461#120×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466#117×C73C2311yescharacteristic
467C2×C4⋊C4×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×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
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491#11924028—22no—
492#11924028—41no—
493#11924028—44no—
494#11924028—44no—
495#11924027—24no—
496#11924027—44no—
497#11924027—44no—
498#11924027—44no—
499#11924027—82no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146C2×D411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×D292—22no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—41no—
513C2×D292—41no—
514C2×D292—41no—
515C2×D292—41no—
516C2×D292—41no—
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—44no—
547C2×C22⋊D73—44no—
548C2×C22⋊D73—44no—
549C2×C22⋊D73—44no—
550C2×C22⋊D73—82no—
551C2×C22⋊D73—82no—
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554D4×D73—22no—
555D4×D73—41no—
556D4×D73—41no—
557D4×D73—41no—
558D4×D73—41no—
559D4×D73—41no—
560D4×D73—44no—
561D4×D73—44no—
562D4×D73—44no—
563D4×D73—44no—
564D4×D73—44no—
565D4×D73—82no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73C2×D411yescharacteristic
570C22×Dic73C2×D411yescharacteristic
571C22×Dic73C2×D411yescharacteristic
572C22×Dic73C2×D411yescharacteristic
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—82no—
585C2×C4×D73—82no—
586C2×C4×D73C2×D411yescharacteristic
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589#11924017—41no—
590#11924017—41no—
591#11924017—41no—
592#11924016—41no—
593#11924016—41no—
594#11924016—41no—
595D584—22no—
596D584—22no—
597D584—22no—
598D584—41no—
599D584—41no—
600D584—41no—
601#11924013—22no—
602#11924013—22no—
603#11924013—22no—
604#11924013—41no—
605#11924013—41no—
606#11924013—41no—
607#11924013—41no—
608#11924013—41no—
609#11924013—41no—
610#11924012—41no—
611C2×#10596831—41no—
612C2×#10596831C2411yescharacteristic
613C2×#10596831C2411yescharacteristic
614C2×#10596831C2411yescharacteristic
615C2×#10596831C2411yescharacteristic
616C8×D73—41no—
617C8×D73—41no—
618C4⋊Dic73—21no—
619C4⋊Dic73—21no—
620C4⋊Dic73C2×D411yescharacteristic
621C4⋊Dic73C2411yescharacteristic
622C4⋊Dic73C2411yescharacteristic
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007C2×D411yescharacteristic
631#11924007C2×D411yescharacteristic
632#11924007C2×D411yescharacteristic
633#11924007C2×D411yescharacteristic
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73C2×D411yescharacteristic
642C22⋊Dic73C2×D411yescharacteristic
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73C2×D411yescharacteristic
665C4×Dic73C2×D411yescharacteristic
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2×D411yescharacteristic
669C4×Dic73C2×D411yescharacteristic
670C4×Dic73C2411yescharacteristic
671C4×Dic73C2411yescharacteristic
672C4×Dic73C2411yescharacteristic
673C24×C73—21no—
674C24×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73—21no—
681C2×D4×C73—21no—
682C2×D4×C73—21no—
683C2×D4×C73—41no—
684C2×D4×C73—41no—
685C2×D4×C73—41no—
686C2×D4×C73—41no—
687C2×D4×C73—44no—
688C2×D4×C73C2×D411yescharacteristic
689C2×D4×C73C2411yescharacteristic
690C2×D4×C73C2411yescharacteristic
691C2×D4×C73C2411yescharacteristic
692C2×D4×C73C2411yescharacteristic
693C22×C4×C73—21no—
694C22×C4×C73—21no—
695C22×C4×C73—21no—
696C22×C4×C73C2411yescharacteristic
697C22×C4×C73C2411yescharacteristic
698D8×C73—41no—
699D8×C73—41no—
700D8×C73—41no—
701M16×C73—41no—
702C2×C8×C73—41no—
703C2×C8×C73C2411yescharacteristic
704C2×C8×C73C2411yescharacteristic
705C2×C8×C73C2411yescharacteristic
706C2×C8×C73C2411yescharacteristic
707C4⋊C4×C73—21no—
708C4⋊C4×C73—21no—
709C4⋊C4×C73—21no—
710C4⋊C4×C73C2×D411yescharacteristic
711C4⋊C4×C73C2411yescharacteristic
712C4⋊C4×C73C2411yescharacteristic
713C4⋊C4×C73C2411yescharacteristic
714C4⋊C4×C73C2411yescharacteristic
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73—21no—
721C22⋊C4×C73—21no—
722C22⋊C4×C73C2×D411yescharacteristic
723C22⋊C4×C73C2×D411yescharacteristic
724C42×C73—21no—
725C42×C73C2411yescharacteristic
726C23×C73—21no—
727C23×C73—21no—
728C23×C73—21no—
729C23×C73—21no—
730C23×C73—42no—
731C23×C73—42no—
732C23×C73—81no—
733C23×C73—81no—
734C23×C73—81no—
735C23×C73—81no—
736C23×C73C22×D411yescharacteristic
737C23×C73C22×D411yescharacteristic
738C22×D73—21no—
739C22×D73—21no—
740C22×D73—21no—
741C22×D73—21no—
742C22×D73—21no—
743C22×D73—42no—
744C22×D73—42no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73C22×D411yescharacteristic
762D4×C73—22no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—42no—
772D4×C73—42no—
773D4×C73—42no—
774D4×C73—42no—
775D4×C73—81no—
776D4×C73—81no—
777D4×C73—81no—
778D4×C73—81no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—42no—
788C2×C4×C73—81no—
789C2×C4×C73—81no—
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C2511yescharacteristic
795C22⋊D73—22no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73AGL(1,ℤ/8)14yescomplemented
821C2×Dic73—22no—
822C2×Dic73—22no—
823C2×Dic73—22no—
824C2×Dic73—22no—
825C2×Dic73—21no—
826C2×Dic73—21no—
827C2×Dic73—21no—
828C2×Dic73—42no—
829C2×Dic73—42no—
830C2×Dic73—42no—
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833C2×Dic73C22×D411yescharacteristic
834C2×Dic73C22×D411yescharacteristic
835C2×Dic73C22×D411yescharacteristic
836C2×Dic73C22×D411yescharacteristic
837C2×Dic73C22×D411yescharacteristic
838D292—21no—
839D292—21no—
840D292—21no—
841D292—21no—
842D292—21no—
843D292—21no—
844D292—21no—
845D292—21no—
846D292—21no—
847D292—42no—
848D292—42no—
849D292—42no—
850D292—42no—
851D292—81no—
852D292—81no—
853D292—81no—
854D292H(5,𝔽2)12yescomplemented
855C4×D73—22no—
856C4×D73—21no—
857C4×D73—21no—
858C4×D73—22no—
859C4×D73—42no—
860C4×D73—42no—
861C4×D73—42no—
862C4×D73—42no—
863C4×D73—42no—
864C4×D73—42no—
865C4×D73—42no—
866C4×D73—81no—
867C4×D73—81no—
868C4×D73—81no—
869C4×D73—81no—
870Dic146—22no—
871Dic146—21no—
872Dic146—21no—
873Dic146—42no—
874Dic146—81no—
875C8×C73—21no—
876C8×C73—21no—
877C8×C73—21no—
878C8×C73—21no—
879#10596831—21no—
880#10596831—21no—
881#10596831—21no—
882#10596831—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—162no—
901C22×C73—162no—
902C22×C73C2×AGL(1,ℤ/8)12yes—
903C22×C73C23×D411yescharacteristic
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—22no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—84no—
922C2×D73—84no—
923C2×D73—162no—
924C2×D73—162no—
925C2×D73—162no—
926C2×D73—162no—
927C2×D73C2×AGL(1,ℤ/8)12yes—
928C4×C73—21no—
929C4×C73—21no—
930C4×C73—21no—
931C4×C73—21no—
932C4×C73—41no—
933C4×C73—41no—
934C4×C73—41no—
935C4×C73—41no—
936C4×C73C2×H(5,𝔽2)11yescharacteristic
937C4×C73#58511yescharacteristic
938Dic73—21no—
939Dic73—21no—
940Dic73—21no—
941Dic73—21no—
942Dic73—21no—
943Dic73—41no—
944Dic73—41no—
945Dic73—41no—
946Dic73C2×AGL(1,ℤ/8)12yes—
947Dic73#57612yes—
948#61979—731nomaximal, Sylow
949C2×C73—22no—
950C2×C73—41no—
951C2×C73—81no—
952C2×C73—81no—
953C2×C73—81no—
954C2×C73—81no—
955C2×C73#348811yescharacteristic
956C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
957C2×C73C2×#57611yescharacteristic
958D73—22no—
959D73—42no—
960D73—81no—
961D73—81no—
962D73—81no—
963D73—81no—
964#3498—731no—
965#3481—731no—
966#3399—731no—
967#3399—731no—
968#3366—731no—
969#3366—731no—
970#3318—731no—
971#3318—731no—
972#3318—731no—
973#3318D7311yescharacteristic, complemented
974#3295—731no—
975#3295—731no—
976D4×D8—731no—
977D4×D8—731no—
978#3264—731no—
979#3264—731no—
980#3264—731no—
981#3264—731no—
982#3253—731no—
983#3247—731no—
984#3247—731no—
985#3217—731no—
986#3217—731no—
987#3205—731no—
988#3109—731no—
989#3109—731no—
990#3106—731no—
991#3038—731no—
992C2×#459—731no—
993C2×#459—731no—
994#2990—731no—
995C73#6197911yescharacteristic, complemented, Sylow
996C2×H(5,𝔽2)—1461no—
997C2×AGL(1,ℤ/8)—731no—
998C2×AGL(1,ℤ/8)—731no—
999C22×D8—731no—
1000C22×D8—731no—
1001C22×D8—731no—
1002C22×D8—731no—
1003#559—731no—
1004#554—731no—
1005#554—731no—
1006#553—731no—
1007#553—1461no—
1008#553C2×D7311yescharacteristic, complemented
1009#551—1461no—
1010#551—1461no—
1011#550—731no—
1012#550—731no—
1013#550—1461no—
1014#546—731no—
1015#546—731no—
1016#546—1461no—
1017D42—731no—
1018D42—731no—
1019D42—731no—
1020D42—731no—
1021D42—731no—
1022D42—731no—
1023D42—1461no—
1024D42—1461no—
1025D42—1461no—
1026D42C2×D7311yescharacteristic, complemented
1027#535—1461no—
1028#535—1461no—
1029#535—1461no—
1030#532—731no—
1031#532—731no—
1032#532—731no—
1033#532—731no—
1034C2×#127—731no—
1035C2×#127—731no—
1036C2×#127—731no—
1037#529—731no—
1038#529—731no—
1039#529—1461no—
1040#525—1461no—
1041#525—1461no—
1042C4×#41—731no—
1043C4×#41—731no—
1044C2×C4×D4—731no—
1045C2×C4×D4—731no—
1046C2×C4×D4—1461no—
1047#496—731no—
1048#496—731no—
1049#496—731no—
1050#496—731no—
1051#493—731no—
1052#493—731no—
1053#490—731no—
1054#490—731no—
1055#490—731no—
1056#490C2×D7311yescharacteristic, complemented
1057#486—731no—
1058#486—731no—
1059#482—731no—
1060#482C2×D7311yescharacteristic, complemented
1061#481—731no—
1062#481—731no—
1063#481—731no—
1064#481C2×D7311yescharacteristic, complemented
1065#478—731no—
1066#478—731no—
1067#478—731no—
1068#478C2×D7311yescharacteristic, complemented
1069#477—731no—
1070#476—731no—
1071#476—731no—
1072#476—731no—
1073#476—731no—
1074#476—731no—
1075#469—731no—
1076#469—731no—
1077#469—731no—
1078#469C2×D7311yescharacteristic, complemented
1079#466—731no—
1080#466—731no—
1081#466—731no—
1082#466C2×D7311yescharacteristic, complemented
1083#465—731no—
1084#465—731no—
1085#465—731no—
1086#465—731no—
1087#463—731no—
1088#463—731no—
1089#463—731no—
1090#463—731no—
1091#460—731no—
1092#460—731no—
1093#460—731no—
1094#460—731no—
1095#460—731no—
1096#459—731no—
1097#459—731no—
1098#459—731no—
1099#459—731no—
1100#459—731no—
1101#459—731no—
1102#459—731no—
1103#459—731no—
1104#459—731no—
1105#459—731no—
1106#459—731no—
1107#459—731no—
1108#459—731no—
1109#459—731no—
1110#459—731no—
1111#459—731no—
1112#459—731no—
1113#459—731no—
1114#459—731no—
1115#459—731no—
1116#459C2×D7311yescharacteristic, complemented
1117#450—731no—
1118#450—731no—
1119#450—731no—
1120#450—731no—
1121#449—731no—
1122#449—731no—
1123#447—731no—
1124#447—731no—
1125#447—731no—
1126#447—731no—
1127#447—731no—
1128#447—731no—
1129#447—731no—
1130#447—731no—
1131#447—731no—
1132#447—731no—
1133#447C2×D7311yescharacteristic, complemented
1134#447C2×D7311yescharacteristic, complemented
1135#446—731no—
1136#446—731no—
1137#442—731no—
1138#442—731no—
1139#442—731no—
1140#442—731no—
1141#442—731no—
1142#442—731no—
1143#442—731no—
1144#442C2×D7311yescharacteristic, complemented
1145C4×SD16—731no—
1146C4×SD16—731no—
1147C4×D8—731no—
1148C4×D8—731no—
1149#435—731no—
1150#435—731no—
1151#435—731no—
1152#435C2×D7311yescharacteristic, complemented
1153C8×D4—731no—
1154C8×D4—731no—
1155#432—731no—
1156#432—731no—
1157#431—731no—
1158#423—731no—
1159C2×C4⋊C8—731no—
1160C2×C4⋊C8—731no—
1161#418—731no—
1162#418C2×D7311yescharacteristic, complemented
1163C2×#102—731no—
1164C2×#102—731no—
1165C2×#102—731no—
1166C2×#102C2×D7311yescharacteristic, complemented
1167H(5,𝔽2)—2928no—
1168C2×#41—731no—
1169C2×#41—731no—
1170C2×#41—1461no—
1171C2×#41—1461no—
1172C2×#41—1461no—
1173C2×#41—1461no—
1174C2×#41—1461no—
1175C2×#41—1461no—
1176C22×D4—21no—
1177C22×D4—731no—
1178C22×D4—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—1461no—
1184C22×D4—1461no—
1185C22×D4—1461no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4—1461no—
1189C22×D4—1461no—
1190C22×D4—1461no—
1191C22×D4—1461no—
1192C22×D4—1461no—
1193C22×D4—1461no—
1194C22×D4—1461no—
1195C22×D4C22×D7311yescharacteristic
1196C22×D4C22×D7311yescharacteristic
1197C23×C4—1461no—
1198C23×C4—1461no—
1199AGL(1,ℤ/8)—2922no—
1200AGL(1,ℤ/8)—2922no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×D8—2922no—
1208C2×D8—2922no—
1209C2×D8—2922no—
1210C2×D8—2922no—
1211C2×D8—731no—
1212C2×D8—731no—
1213C2×D8—731no—
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×D8—731no—
1219C2×D8—731no—
1220C2×D8—731no—
1221C2×D8—731no—
1222C2×D8—731no—
1223C2×D8—731no—
1224C2×D8—731no—
1225C2×D8—731no—
1226C2×D8C22×D7311yescharacteristic
1227C2×D8C22×D7311yescharacteristic
1228C2×D8C22×D7311yescharacteristic
1229C2×M16—731no—
1230C2×M16C22×D7311yescharacteristic
1231C22×C8—731no—
1232C22×C8—731no—
1233C22×C8—731no—
1234C22×C8C22×D7311yescharacteristic
1235C4⋊Q8—731no—
1236C4⋊Q8—731no—
1237#127—731no—
1238#127—731no—
1239#127—731no—
1240#127—731no—
1241#127—731no—
1242#127—731no—
1243#127—731no—
1244#127—731no—
1245#127—731no—
1246#127—1461no—
1247#127—1461no—
1248#127—1461no—
1249#127—1461no—
1250#127—1461no—
1251#127—1461no—
1252#127C22×D7311yescharacteristic
1253#126—21no—
1254#126—1461no—
1255#126—1461no—
1256#126—1461no—
1257#125—731no—
1258#125—1461no—
1259#125C22×D7311yescharacteristic
1260#124—731no—
1261#124—731no—
1262#124—1461no—
1263#124—1461no—
1264#124—1461no—
1265#124—1461no—
1266#124—1461no—
1267#123—21no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282#121—21no—
1283#121—21no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—731no—
1290#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121—1461no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121C22×D7311yescharacteristic
1310#121C22×D7311yescharacteristic
1311#121C22×D7311yescharacteristic
1312#121C22×D7311yescharacteristic
1313#120—21no—
1314#120—21no—
1315#120—1461no—
1316#120—1461no—
1317#120—1461no—
1318#120—1461no—
1319#120—1461no—
1320#120—1461no—
1321#120—1461no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329C4×Q8—731no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×D4—21no—
1334C4×D4—731no—
1335C4×D4—731no—
1336C4×D4—731no—
1337C4×D4—731no—
1338C4×D4—731no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4C22×D7311yescharacteristic
1367C4×D4C22×D7311yescharacteristic
1368C4×D4C22×D7311yescharacteristic
1369#117—731no—
1370#117—731no—
1371#117—731no—
1372#117—1461no—
1373#117—1461no—
1374#117—1461no—
1375#117C22×D7311yescharacteristic
1376C2×C4⋊C4—731no—
1377C2×C4⋊C4—1461no—
1378C2×C4⋊C4C22×D7311yescharacteristic
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381C2×C22⋊C4—1461no—
1382C2×C22⋊C4—1461no—
1383C2×C42—731no—
1384C2×C42—731no—
1385C2×C42—731no—
1386C2×C42—1461no—
1387#107—731no—
1388#107C22×D7311yescharacteristic
1389#106—731no—
1390#106—731no—
1391#106—731no—
1392#106—731no—
1393#106C22×D7311yescharacteristic
1394#106C22×D7311yescharacteristic
1395C4⋊C8—731no—
1396C4⋊C8—731no—
1397C4⋊C8—731no—
1398C4⋊C8—731no—
1399C4⋊C8—731no—
1400C4⋊C8—731no—
1401C4⋊C8—731no—
1402C4⋊C8—731no—
1403C4⋊C8—731no—
1404C4⋊C8C22×D7311yescharacteristic
1405#103—731no—
1406#103—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102C22×D7311yescharacteristic
1428#102C22×D7311yescharacteristic
1429#102C22×D7311yescharacteristic
1430#102C22×D7311yescharacteristic
1431#102C22×D7311yescharacteristic
1432#102C22×D7311yescharacteristic
1433#102C22×D7311yescharacteristic
1434#102C22×D7311yescharacteristic
1435#102C22×D7311yescharacteristic
1436#102C22×D7311yescharacteristic
1437C22⋊C8—731no—
1438C22⋊C8—731no—
1439C22⋊C8—731no—
1440C22⋊C8—731no—
1441C22⋊C8C22×D7311yescharacteristic
1442C22⋊C8C22×D7311yescharacteristic
1443#97—731no—
1444#97—731no—
1445#97—731no—
1446#97C22×D7311yescharacteristic
1447C4×C8—731no—
1448C4×C8—731no—
1449C24—21no—
1450C24—21no—
1451C24—1461no—
1452C24—1461no—
1453C24—1461no—
1454C24—1461no—
1455C24—1461no—
1456C24—1461no—
1457#41—2921no—
1458#41—2924no—
1459#41—2924no—
1460#41—2924no—
1461#41—2924no—
1462#41—2924no—
1463#41—5842no—
1464#41—1462no—
1465#41—1464no—
1466C2×Q8—731no—
1467C2×Q8—731no—
1468C2×Q8—1461no—
1469C2×Q8—1461no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—41no—
1479C2×D4—41no—
1480C2×D4—41no—
1481C2×D4—41no—
1482C2×D4—44no—
1483C2×D4—2921no—
1484C2×D4—2921no—
1485C2×D4—2921no—
1486C2×D4—2921no—
1487C2×D4—2921no—
1488C2×D4—2924no—
1489C2×D4—2924no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2924no—
1494C2×D4—2921no—
1495C2×D4—2921no—
1496C2×D4—2921no—
1497C2×D4—2921no—
1498C2×D4—2921no—
1499C2×D4—2924no—
1500C2×D4—2924no—
1501C2×D4—2924no—
1502C2×D4—5842no—
1503C2×D4—5842no—
1504C2×D4—5842no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1462no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1462no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4D4×D7311yescharacteristic
1546C2×D4C23×D7311yescharacteristic
1547C2×D4C23×D7311yescharacteristic
1548C2×D4C23×D7311yescharacteristic
1549C2×D4C23×D7311yescharacteristic
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—5842no—
1554C22×C4—5842no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
1559C22×C4—731no—
1560C22×C4—731no—
1561C22×C4—731no—
1562C22×C4—1461no—
1563C22×C4—1461no—
1564C22×C4—1461no—
1565C22×C4—1461no—
1566C22×C4—1461no—
1567C22×C4—1461no—
1568C22×C4—1461no—
1569C22×C4—1461no—
1570C22×C4—1461no—
1571C22×C4—1461no—
1572C22×C4—1461no—
1573C22×C4—1461no—
1574C22×C4—1461no—
1575C22×C4—1461no—
1576C22×C4C23×D7311yescharacteristic
1577C22×C4C23×D7311yescharacteristic
1578SD16—2921no—
1579SD16—2921no—
1580SD16—2921no—
1581SD16—2921no—
1582SD16—2921no—
1583SD16—2921no—
1584D8—41no—
1585D8—41no—
1586D8—41no—
1587D8—2921no—
1588D8—2921no—
1589D8—2921no—
1590D8—2921no—
1591D8—2921no—
1592D8—2921no—
1593D8—2921no—
1594D8—2921no—
1595D8—2921no—
1596D8—1462no—
1597D8—1462no—
1598D8—1462no—
1599D8—1462no—
1600D8—1462no—
1601D8—1462no—
1602M16—41no—
1603M16—2921no—
1604C2×C8—41no—
1605C2×C8—2921no—
1606C2×C8—2921no—
1607C2×C8—2921no—
1608C2×C8—731no—
1609C2×C8—731no—
1610C2×C8—731no—
1611C2×C8—731no—
1612C2×C8C23×D7311yescharacteristic
1613C2×C8C23×D7311yescharacteristic
1614C2×C8C23×D7311yescharacteristic
1615C2×C8C23×D7311yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—731no—
1620C4⋊C4—731no—
1621C4⋊C4—731no—
1622C4⋊C4—731no—
1623C4⋊C4—731no—
1624C4⋊C4—731no—
1625C4⋊C4—731no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4D4×D7311yescharacteristic
1636C4⋊C4C23×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C4⋊C4C23×D7311yescharacteristic
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4D4×D7311yescharacteristic
1676C22⋊C4D4×D7311yescharacteristic
1677C42—21no—
1678C42—731no—
1679C42—731no—
1680C42—731no—
1681C42—731no—
1682C42—731no—
1683C42—731no—
1684C42—731no—
1685C42—731no—
1686C42—731no—
1687C42—1461no—
1688C42—1461no—
1689C42C23×D7311yescharacteristic
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—81no—
1700C23—2922no—
1701C23—2922no—
1702C23—2922no—
1703C23—2922no—
1704C23—2922no—
1705C23—2922no—
1706C23—2922no—
1707C23—2922no—
1708C23—5841no—
1709C23—5841no—
1710C23—5841no—
1711C23—5841no—
1712C23—5841no—
1713C23—5841no—
1714C23—5841no—
1715C23—5841no—
1716C23—5841no—
1717C23—5841no—
1718C23—731no—
1719C23—1461no—
1720C23—1461no—
1721C23—1461no—
1722C23—1461no—
1723C23—1461no—
1724C23C2×D4×D7311yescharacteristic
1725C23C2×D4×D7311yescharacteristic
1726Q8—2922no—
1727Q8—5841no—
1728Q8—1462no—
1729Q8—1461no—
1730Q8—1461no—
1731D4—22no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—2922no—
1749D4—2922no—
1750D4—2922no—
1751D4—2922no—
1752D4—2922no—
1753D4—2922no—
1754D4—2922no—
1755D4—2922no—
1756D4—2922no—
1757D4—2922no—
1758D4—2922no—
1759D4—2922no—
1760D4—2922no—
1761D4—2922no—
1762D4—2922no—
1763D4—2922no—
1764D4—2922no—
1765D4—2922no—
1766D4—2922no—
1767D4—2922no—
1768D4—5841no—
1769D4—5841no—
1770D4—5841no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—5841no—
1776D4—5841no—
1777D4—5841no—
1778D4—5841no—
1779D4—734no—
1780D4—732no—
1781D4—1462no—
1782D4—1461no—
1783D4—1461no—
1784D4—1461no—
1785D4—1461no—
1786D4—1461no—
1787D4—1461no—
1788D4—1461no—
1789D4—1461no—
1790D4—1461no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—81no—
1802C2×C4—2922no—
1803C2×C4—2922no—
1804C2×C4—2922no—
1805C2×C4—2922no—
1806C2×C4—2922no—
1807C2×C4—2922no—
1808C2×C4—2922no—
1809C2×C4—2922no—
1810C2×C4—2922no—
1811C2×C4—2922no—
1812C2×C4—5841no—
1813C2×C4—5841no—
1814C2×C4—5841no—
1815C2×C4—5841no—
1816C2×C4—731no—
1817C2×C4—731no—
1818C2×C4—731no—
1819C2×C4—731no—
1820C2×C4—731no—
1821C2×C4—731no—
1822C2×C4—731no—
1823C2×C4—1462no—
1824C2×C4—1462no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1462no—
1829C2×C4—1462no—
1830C2×C4—1462no—
1831C2×C4—1462no—
1832C2×C4—1461no—
1833C2×C4—1461no—
1834C2×C4C2×D4×D7311yescharacteristic
1835C2×C4C2×D4×D7311yescharacteristic
1836C2×C4C2×D4×D7311yescharacteristic
1837C2×C4C2×D4×D7311yescharacteristic
1838C2×C4C24×D7311yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—1461no—
1844C8—1461no—
1845C8—1461no—
1846C8—1461no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—162no—
1865C22—162no—
1866C22—2921no—
1867C22—2921no—
1868C22—2921no—
1869C22—2921no—
1870C22—2921no—
1871C22—2921no—
1872C22—2921no—
1873C22—2921no—
1874C22—2921no—
1875C22—2921no—
1876C22—2921no—
1877C22—2921no—
1878C22—2921no—
1879C22—2921no—
1880C22—5844no—
1881C22—5844no—
1882C22—732no—
1883C22—11682no—
1884C22—11682no—
1885C22—11682no—
1886C22—11682no—
1887C22—1462no—
1888C22—1461no—
1889C22—1461no—
1890C22AGL(1,ℤ/8)×D7312yes—
1891C22C22×D4×D7311yescharacteristic
1892C4—21no—
1893C4—21no—
1894C4—21no—
1895C4—21no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—2921no—
1901C4—2921no—
1902C4—2921no—
1903C4—732no—
1904C4—732no—
1905C4—1461no—
1906C4—1461no—
1907C4—1461no—
1908C4—1461no—
1909C4—1461no—
1910C4H(5,𝔽2)×D7311yescharacteristic
1911C4#1798942311yescharacteristic
1912C2—22no—
1913C2—41no—
1914C2—81no—
1915C2—81no—
1916C2—81no—
1917C2—81no—
1918C2—2922no—
1919C2—5841no—
1920C2—5841no—
1921C2—5841no—
1922C2—5841no—
1923C2—1462no—
1924C2#2262359411yescharacteristic
1925C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1926C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3318C2
socleC22×C73C23×D4
hypercenter#3318D73
hypocenterC73#61979
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #22623703C2semidirect
2. #22623538C2semidirect
3. #22622976C2semidirect
4. #22622974C2semidirect
5. #22622641C2semidirect
6. #22622635C2semidirect
7. #22622075C2semidirect
8. #22622073C2semidirect
9. #22622066C2semidirect
10. #22621753C2semidirect
11. #22621751C2semidirect
12. #22621605C2semidirect
13. #22621601C2semidirect
14. #22621418C2semidirect
15. #22621416C2semidirect
16. #22621409C2semidirect
17. #22621407C2semidirect
18. #22621308C2semidirect
19. #22621256C2semidirect
20. #22621250C2semidirect
21. #22620950C2semidirect
22. #22620947C2semidirect
23. #22620847C2semidirect
24. #22620020C2semidirect
25. #22620019C2semidirect
26. #22619986C2semidirect
27. #22619410C2semidirect
28. C2×#17988781C2semidirect
29. #459×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3318C2semidirect
33. C2×#14556619C22semidirect
34. C2×#14556617C22semidirect
35. C22×D584C22semidirect
36. C22×#11924013C22semidirect
37. C2×D8×D73C22semidirect
38. C2×D8×D73C22semidirect
39. #17989320C22semidirect
40. #17989293C22semidirect
41. #17989292C22semidirect
43. #17989281C22semidirect
46. #17989258C22semidirect
47. #17989257C22semidirect
49. #17989234C22semidirect
50. #17989233C22semidirect
52. D4×D292C22semidirect
54. #17989221C22semidirect
55. #17989221C22semidirect
58. D4×C22⋊D73C22semidirect
64. #17989134C22semidirect
65. #17989132C22semidirect
66. #17989132C22semidirect
67. #17989132C22semidirect
68. C2×#14556587C22semidirect
69. C2×#14556587C22semidirect
70. #127×D73C22semidirect
71. #17989122C22semidirect
73. #17989118C22semidirect
76. #17989055C22semidirect
78. C2×#14556553C22semidirect
80. C4×D4×D73C22semidirect
81. #17988976C22semidirect
82. #17988975C22semidirect
83. #17988975C22semidirect
84. #17988974C22semidirect
85. #17988962C22semidirect
86. #17988962C22semidirect
87. #17988953C22semidirect
88. #17988950C22semidirect
89. #17988950C22semidirect
90. #17988932C22semidirect
91. #17988932C22semidirect
92. #17988911C22semidirect
93. #17988907C22semidirect
94. #17988905C22semidirect
95. #17988904C22semidirect
96. #17988890C22semidirect
97. #17988889C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988876C22semidirect
101. #17988876C22semidirect
102. #17988876C22semidirect
103. #17988875C22semidirect
104. #17988875C22semidirect
105. #17988840C22semidirect
106. #17988838C22semidirect
107. #17988838C22semidirect
108. #17988824C22semidirect
109. #17988822C22semidirect
110. #17988821C22semidirect
111. #17988817C22semidirect
112. #17988816C22semidirect
113. #17988815C22semidirect
114. #17988814C22semidirect
115. #17988803C22semidirect
116. #17988802C22semidirect
117. #17988801C22semidirect
118. #17988800C22semidirect
119. #17988786C22semidirect
120. #17988786C22semidirect
121. #17988786C22semidirect
122. #17988786C22semidirect
123. #17988786C22semidirect
124. #17988783C22semidirect
125. #17988782C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
128. #17988781C22semidirect
129. #17988781C22semidirect
130. #17988781C22semidirect
131. #17988781C22semidirect
132. #17988781C22semidirect
133. #17988781C22semidirect
134. #17988781C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988781C22semidirect
139. #17988780C22semidirect
140. #17988780C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988779C22semidirect
144. #17988740C22semidirect
145. #17988739C22semidirect
146. #17988739C22semidirect
147. #17988738C22semidirect
148. #17988734C22semidirect
149. #17988730C22semidirect
150. #17988723C22semidirect
151. #17988723C22semidirect
152. #17988722C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988721C22semidirect
156. #17988720C22semidirect
157. #17988720C22semidirect
158. #17988720C22semidirect
159. #17988719C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988700C22semidirect
163. #17988698C22semidirect
164. #17988698C22semidirect
165. #17988697C22semidirect
166. #17988697C22semidirect
167. #17988696C22semidirect
168. #17988696C22semidirect
169. #17988678C22semidirect
170. #17988674C22semidirect
171. #17988669C22semidirect
172. #17988667C22semidirect
173. #17988661C22semidirect
174. #17988659C22semidirect
175. #17988656C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988591C22semidirect
185. C2×#14556511C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. #553×C73C22semidirect
189. D42×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #478×C73C22semidirect
194. #469×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
197. #447×C73C22semidirect
198. #447×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. C2×#102×C73C22semidirect
820. C22⋊D73AGL(1,ℤ/8)semidirect
854. D292H(5,𝔽2)semidirect
973. #3318D73semidirect
995. C73#61979semidirect
1008. #553C2×D73semidirect
1026. D42C2×D73semidirect
1056. #490C2×D73semidirect
1060. #482C2×D73semidirect
1064. #481C2×D73semidirect
1068. #478C2×D73semidirect
1078. #469C2×D73semidirect
1082. #466C2×D73semidirect
1116. #459C2×D73semidirect
1133. #447C2×D73semidirect
1134. #447C2×D73semidirect
1144. #442C2×D73semidirect
1152. #435C2×D73semidirect
1162. #418C2×D73semidirect
1166. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237032
#226235382
#226229762
#226229742
#226226412
#226226352
#226220752
#226220732
#226220662
#226217532
#226217512
#226216052
#226216012
#226214182
#226214162
#226214092
#226214072
#226213082
#226212562
#226212502
#226209502
#226209472
#226208472
#226200202
#226200192
#226199862
#226194102
C2×#179887812
#459×D732
#226190512
C73×#33182
#6197973