Finite Group Databasebeta

← #33967898

Subgroups — #33967898

Order 18688.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623538C211yesmaximal, characteristic, complemented
2#22623418C211yesmaximal, characteristic, complemented
3#22622974C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622641C211yesmaximal, characteristic, complemented
7#22622402C211yesmaximal, characteristic, complemented
8#22622284C211yesmaximal, characteristic, complemented
9#22622075C211yesmaximal, characteristic, complemented
10#22622066C211yesmaximal, characteristic, complemented
11#22621895C211yesmaximal, characteristic, complemented
12#22621886C211yesmaximal, characteristic, complemented
13#22621753C211yesmaximal, characteristic, complemented
14#22621742C211yesmaximal, characteristic, complemented
15#22621605C211yesmaximal, characteristic, complemented
16#22621418C211yesmaximal, characteristic, complemented
17#22621416C211yesmaximal, characteristic, complemented
18#22620664C211yesmaximal, characteristic, complemented
19#22620631C211yesmaximal, characteristic, complemented
20#22620624C211yesmaximal, characteristic, complemented
21#22620077C211yesmaximal, characteristic, complemented
22#22620074C211yesmaximal, characteristic, complemented
23#22620066C211yesmaximal, characteristic, complemented
24#22620024C211yesmaximal, characteristic, complemented
25#22620019C211yesmaximal, characteristic, complemented
26#22620019C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618738C211yesmaximal, characteristic, complemented
29C2×#17988698C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556619C2211yescharacteristic
34C22×D584C2211yescharacteristic
35C2×D8×D73C2211yescharacteristic
36#17989320C2211yescharacteristic, complemented
37#17989293C2211yescharacteristic, complemented
38#17989292C2211yescharacteristic, complemented
39#17989282—21no—
40#17989281C2211yescharacteristic, complemented
41#17989266—21no—
42#17989262—21no—
43#17989258C2211yescharacteristic, complemented
44#17989252C2211yescharacteristic, complemented
45#17989247—21no—
46#17989238C2211yescharacteristic
47#17989238C2211yescharacteristic, complemented
48#17989234C2211yescharacteristic, complemented
49#17989233C2211yescharacteristic, complemented
50#17989229—21no—
51#17989229—21no—
52#17989226—21no—
53#17989225—21no—
54D4×D292C2211yescharacteristic, complemented
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic, complemented
57#17989221C2211yescharacteristic, complemented
58#17989138C2211yescharacteristic, complemented
59#17989132C2211yescharacteristic, complemented
60#17989132C2211yescharacteristic, complemented
61#17989132C2211yescharacteristic, complemented
62#17989122C2211yescharacteristic, complemented
63#17989120—21no—
64#17989118C2211yescharacteristic, complemented
65#17989100—21no—
66#17989097—21no—
67#17989095—21no—
68#17989095—21no—
69#17989095—21no—
70#17989055C2211yescharacteristic, complemented
71C4×#11924027C2211yescharacteristic
72C2×#14556553C2211yescharacteristic, complemented
73C2×#14556553C2211yescharacteristic, complemented
74C2×#14556553C2211yescharacteristic, complemented
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988953C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988917C2211yescharacteristic, complemented
91#17988911C2211yescharacteristic, complemented
92#17988907C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988905C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988890C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988884C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988874C2211yescharacteristic, complemented
105#17988871C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988840C2211yescharacteristic, complemented
108#17988838C2211yescharacteristic, complemented
109#17988838C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988824C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic, complemented
118#17988802C2211yescharacteristic, complemented
119#17988801C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988786C2211yescharacteristic, complemented
122#17988783C2211yescharacteristic, complemented
123#17988782C2211yescharacteristic, complemented
124#17988781C2211yescharacteristic
125#17988781C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988740C2211yescharacteristic, complemented
130#17988739C2211yescharacteristic, complemented
131#17988734C2211yescharacteristic, complemented
132#17988730C2211yescharacteristic, complemented
133#17988723C2211yescharacteristic, complemented
134#17988723C2211yescharacteristic, complemented
135#17988722C2211yescharacteristic
136#17988722C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic, complemented
138#17988720C2211yescharacteristic
139#17988720C2211yescharacteristic, complemented
140#17988720C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988699C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic
146#17988698C2211yescharacteristic
147#17988698C2211yescharacteristic, complemented
148#17988698C2211yescharacteristic, complemented
149#17988698C2211yescharacteristic, complemented
150#17988698C2211yescharacteristic, complemented
151#17988698C2211yescharacteristic, complemented
152#17988698C2211yescharacteristic, complemented
153#17988698C2211yescharacteristic, complemented
154#17988698C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic, complemented
157#17988696C2211yescharacteristic, complemented
158#17988696C2211yescharacteristic, complemented
159#17988696C2211yescharacteristic, complemented
160#17988696C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988674C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic
169#17988669C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic, complemented
181C2×#14556511C2211yescharacteristic, complemented
182C2×#14556511C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#476×C73C2211yescharacteristic, complemented
197#469×C73C2211yescharacteristic, complemented
198#466×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027D411yescharacteristic
212#41×D73—48no—
213C2×Q8×D73—21no—
214C22×D292C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C22×D292C2311yescharacteristic
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73C2311yescharacteristic
222C2×D4×D73C2311yescharacteristic
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225C22×C4×D73—21no—
226C22×C4×D73—21no—
227C22×C4×D73—21no—
228#14556619—24no—
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×D584—24no—
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245D8×D73—24no—
246C2×#11924012C2311yescharacteristic
247C22×#10596831C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556590C2311yescharacteristic
252#14556590C2311yescharacteristic
253#14556588C2311yescharacteristic
254#14556587C2311yescharacteristic
255#14556587C2311yescharacteristic
256#14556587C2311yescharacteristic
257#14556586—21no—
258#14556585—21no—
259#14556584—21no—
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556580—21no—
263#14556579C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556572—21no—
280#14556571—21no—
281#14556571C2311yescharacteristic
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556567—21no—
292#14556566—21no—
293#14556566—21no—
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556565—21no—
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556562—21no—
312#14556561—21no—
313#14556561—21no—
314#14556561—21no—
315#14556561—21no—
316#14556561—21no—
317#14556559—21no—
318#14556559—21no—
319#14556559—21no—
320#14556559—21no—
321#14556559—21no—
322C4×Dic146C2311yescharacteristic
323#14556556D411yescharacteristic
324#14556556C2311yescharacteristic
325#14556556C2311yescharacteristic
326C4×D292—21no—
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329D4×Dic73—21no—
330D4×Dic73D411yescharacteristic
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333#14556553—21no—
334#14556553—21no—
335#14556553—21no—
336#14556553—21no—
337#14556553—21no—
338#14556553—21no—
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73C2311yescharacteristic
358C4×C22⋊D73C2311yescharacteristic
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551D411yescharacteristic
367#14556551D411yescharacteristic
368#14556549—21no—
369#14556549D411yescharacteristic
370#14556548—21no—
371#14556547—21no—
372#14556547D411yescharacteristic
373#14556547D411yescharacteristic
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556514C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556512C2311yescharacteristic
411#14556511C2311yescharacteristic
412#14556511C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73—21no—
440C2×D8×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448#123×C73—21no—
449C22⋊Q8×C73—21no—
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—44no—
488#11924028—22no—
489#11924028—41no—
490#11924028—44no—
491#11924028—44no—
492#11924028—44no—
493#11924027—24no—
494#11924027—44no—
495#11924027—44no—
496#11924027—82no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502Q8×D73—44no—
503C2×D292—22no—
504C2×D292—22no—
505C2×D292—22no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—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⋊D73C2×D411yescharacteristic
535C2×C22⋊D73C2×D411yescharacteristic
536D4×D73—22no—
537D4×D73—22no—
538D4×D73—41no—
539D4×D73—41no—
540D4×D73—44no—
541D4×D73—44no—
542D4×D73—44no—
543D4×D73—44no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73C2×D411yescharacteristic
547C22×Dic73C2×D411yescharacteristic
548C22×Dic73C2×D411yescharacteristic
549C22×Dic73C2×D411yescharacteristic
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—44no—
568C2×C4×D73—44no—
569C2×C4×D73—44no—
570C2×C4×D73—82no—
571C2×C4×D73—82no—
572C2×C4×D73C2×D411yescharacteristic
573C2×C4×D73C2×D411yescharacteristic
574C2×C4×D73C2411yescharacteristic
575#11924017—22no—
576#11924017—22no—
577#11924017—41no—
578#11924016—41no—
579D584—22no—
580D584—22no—
581D584—22no—
582D584—22no—
583D584—41no—
584D584#4114yescomplemented
585#11924013—22no—
586#11924013—22no—
587#11924013—41no—
588#11924013—41no—
589#11924013—41no—
590#11924012—41no—
591C2×#10596831—41no—
592C2×#10596831C2411yescharacteristic
593C2×#10596831C2411yescharacteristic
594C2×#10596831C2411yescharacteristic
595C2×#10596831C2411yescharacteristic
596C8×D73—22no—
597C8×D73—41no—
598C4⋊Dic73—21no—
599C4⋊Dic73—21no—
600C4⋊Dic73C2×D411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007C2×D411yescharacteristic
613#11924007C2×D411yescharacteristic
614#11924007C2×D411yescharacteristic
615#11924007C2×D411yescharacteristic
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73C2×D411yescharacteristic
622C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2×D411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C4×Dic73C2411yescharacteristic
658C4×Dic73C2411yescharacteristic
659#41×C73—44no—
660C2×Q8×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675D8×C73—22no—
676M16×C73—22no—
677C2×C8×C73—22no—
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—42no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—42no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73C22×D411yescharacteristic
731Q8×C73—42no—
732D4×C73—22no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—42no—
740D4×C73—81no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—42no—
752C2×C4×C73—42no—
753C2×C4×C73—42no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C2511yescharacteristic
761C22⋊D73—22no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73AGL(1,ℤ/8)14yescomplemented
775C2×Dic73—22no—
776C2×Dic73—22no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—41no—
781C2×Dic73—41no—
782C2×Dic73—42no—
783C2×Dic73—42no—
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791D292—21no—
792D292—21no—
793D292—21no—
794D292—21no—
795D292—21no—
796D292—21no—
797D292—21no—
798D292—21no—
799D292—42no—
800D292—42no—
801D292—42no—
802D292—42no—
803D292—42no—
804D292—42no—
805D292—42no—
806D292—81no—
807D292C2×#4112yes—
808D292C2×#4112yescomplemented
809C4×D73—22no—
810C4×D73—21no—
811C4×D73—21no—
812C4×D73—41no—
813C4×D73—42no—
814C4×D73—42no—
815C4×D73—42no—
816C4×D73—42no—
817C4×D73—42no—
818C4×D73—42no—
819C4×D73—42no—
820C4×D73—42no—
821C4×D73—42no—
822C4×D73—42no—
823C4×D73—42no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—81no—
827C4×D73—81no—
828C4×D73—81no—
829C4×D73—81no—
830Dic146—22no—
831Dic146—21no—
832Dic146—21no—
833Dic146—42no—
834Dic146—42no—
835Dic146—81no—
836C8×C73—21no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73C2×#4112yescomplemented
840#10596831—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831—21no—
844C22×C73—21no—
845C22×C73—21no—
846C22×C73—21no—
847C22×C73—21no—
848C22×C73—21no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73C2×AGL(1,ℤ/8)12yes—
856C22×C73C23×D411yescharacteristic
857C2×D73—21no—
858C2×D73—21no—
859C2×D73—22no—
860C2×D73—22no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—41no—
864C2×D73—41no—
865C2×D73—41no—
866C2×D73—41no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—84no—
875C2×D73—84no—
876C2×D73—84no—
877C2×D73—84no—
878C2×D73—84no—
879C2×D73C2×AGL(1,ℤ/8)12yes—
880C4×C73—21no—
881C4×C73—21no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—41no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73C22×#4111yescharacteristic
891C4×C73#58511yescharacteristic
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73—21no—
897Dic73—21no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73C2×AGL(1,ℤ/8)12yes—
902#61451—731nomaximal, Sylow
903C2×C73—22no—
904C2×C73—41no—
905C2×C73—81no—
906C2×C73—81no—
907C2×C73D4×#4111yescharacteristic
908C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
909C2×C73#358511yescharacteristic
910D73—22no—
911D73—42no—
912D73—42no—
913D73—81no—
914D73—81no—
915D73—81no—
916#3481—731no—
917D4×#41—731no—
918#3399—731no—
919#3384—731no—
920#3373—731no—
921#3366—731no—
922#3345—731no—
923#3345D7311yescharacteristic, complemented
924#3335—731no—
925#3318—731no—
926#3318—731no—
927#3306—731no—
928#3306—731no—
929#3295—731no—
930#3294—731no—
931D4×D8—731no—
932#3264—731no—
933#3264—731no—
934#3184—731no—
935#3180—731no—
936#3180—731no—
937#3115—731no—
938#3114—731no—
939#3114—731no—
940#3109—731no—
941#3109—731no—
942#3109—731no—
943#2970—731no—
944C4×AGL(1,ℤ/8)—731no—
945C2×#442—731no—
946C2×#442—731no—
947C73#6145111yescharacteristic, complemented, Sylow
948C22×#41—1461no—
949C2×AGL(1,ℤ/8)—731no—
950C22×D8—731no—
951C22×D8—731no—
952#559—731no—
953#554—731no—
954#554—731no—
955#553—731no—
956#553—1461no—
957#553C2×D7311yescharacteristic, complemented
958#551—1461no—
959#551—1461no—
960#550—731no—
961D4×Q8—731no—
962#548—1461no—
963#547—731no—
964#547—731no—
965#547C2×D7311yescharacteristic, complemented
966#546—731no—
967#546—731no—
968#546—1461no—
969#546—1461no—
970#546—1461no—
971#546—1461no—
972D42—731no—
973D42—731no—
974D42—731no—
975D42—731no—
976#532—731no—
977#532—731no—
978#532—731no—
979#532—731no—
980#529—731no—
981#529—731no—
982#529—1461no—
983#525—1461no—
984#525—1461no—
985#525—1461no—
986#525—1461no—
987#525—1461no—
988C4×#41—731no—
989C4×#41—731no—
990C2×C4×D4—731no—
991C2×C4×D4—731no—
992C2×C4×D4—731no—
993C2×C4×D4—731no—
994C2×C4×D4—731no—
995C2×C4×D4—1461no—
996#501—731no—
997#501C2×D7311yescharacteristic, complemented
998#498—731no—
999#496—731no—
1000#496—731no—
1001#493—731no—
1002#490—731no—
1003#490—731no—
1004#489—731no—
1005#489—731no—
1006#486—731no—
1007#486—731no—
1008#483—731no—
1009#483—731no—
1010#482—731no—
1011#482C2×D7311yescharacteristic, complemented
1012#481—731no—
1013#481—731no—
1014#481—731no—
1015#481—731no—
1016#481C2×D7311yescharacteristic, complemented
1017#481C2×D7311yescharacteristic, complemented
1018#480—731no—
1019#480C2×D7311yescharacteristic, complemented
1020#478—731no—
1021#478—731no—
1022#478—731no—
1023#478C2×D7311yescharacteristic, complemented
1024#476—731no—
1025#476—731no—
1026#476—731no—
1027#476—731no—
1028#476—731no—
1029#476C2×D7311yescharacteristic, complemented
1030#475—731no—
1031#474—731no—
1032#469—731no—
1033#469—731no—
1034#469—731no—
1035#469C2×D7311yescharacteristic, complemented
1036#466—731no—
1037#466—731no—
1038#466—731no—
1039#466C2×D7311yescharacteristic, complemented
1040#465—731no—
1041#465—731no—
1042#465—731no—
1043#465—731no—
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#460—731no—
1049#459—731no—
1050#459—731no—
1051#459—731no—
1052#459—731no—
1053#459—731no—
1054#459—731no—
1055#459—731no—
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#447—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#447—731no—
1067#447—731no—
1068#446—731no—
1069#446—731no—
1070#442—731no—
1071#442—731no—
1072#442—731no—
1073#442—731no—
1074#442—731no—
1075#442—731no—
1076#442—731no—
1077#442—731no—
1078#442—731no—
1079#442—731no—
1080#442—731no—
1081#442—731no—
1082#442—731no—
1083#442—731no—
1084#442—731no—
1085#442—731no—
1086#442—731no—
1087#442—731no—
1088#442—731no—
1089#442C2×D7311yescharacteristic, complemented
1090#440—731no—
1091#440—731no—
1092#440—731no—
1093#440—731no—
1094C4×SD16—731no—
1095C4×SD16—731no—
1096C4×D8—731no—
1097C4×D8—731no—
1098#435—731no—
1099#435—731no—
1100#435—731no—
1101#435C2×D7311yescharacteristic, complemented
1102C8×D4—731no—
1103C8×D4—731no—
1104#432—731no—
1105#432—731no—
1106#432—731no—
1107#428C2×D7311yescharacteristic, complemented
1108C2×#106—731no—
1109C2×#106C2×D7311yescharacteristic, complemented
1110#418—731no—
1111#417—731no—
1112C2×#102—731no—
1113C2×#102—731no—
1114C2×#102—731no—
1115C2×#102—731no—
1116C4×M16—731no—
1117C2×#97—731no—
1118C2×#97—731no—
1119C2×#41—21no—
1120C2×#41—2928no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—1461no—
1124C2×#41—1461no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C22×Q8—1461no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—731no—
1135C22×D4—731no—
1136C22×D4—1461no—
1137C22×D4—1461no—
1138C22×D4—1461no—
1139C22×D4—1461no—
1140C23×C4—1461no—
1141C23×C4—1461no—
1142C23×C4—1461no—
1143C23×C4—1461no—
1144C23×C4—1461no—
1145AGL(1,ℤ/8)—1464no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×D8—731no—
1151C2×D8—731no—
1152C2×D8—731no—
1153C2×D8—731no—
1154C2×D8—731no—
1155C2×D8—731no—
1156C2×D8—731no—
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—731no—
1160C2×D8—731no—
1161C2×D8—1464no—
1162C2×D8—1464no—
1163C2×D8C22×D7311yescharacteristic
1164C2×M16—731no—
1165C2×M16C22×D7311yescharacteristic
1166C22×C8—731no—
1167C22×C8—731no—
1168C22×C8—731no—
1169C22×C8C22×D7311yescharacteristic
1170C4⋊Q8—731no—
1171C4⋊Q8—731no—
1172C4⋊Q8—731no—
1173C4⋊Q8C22×D7311yescharacteristic
1174#127—731no—
1175#127—731no—
1176#127—731no—
1177#127—731no—
1178#126—21no—
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#125—731no—
1183#125—1461no—
1184#125C22×D7311yescharacteristic
1185#124—731no—
1186#124—731no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#124—1461no—
1191#124—1461no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—21no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219#121—21no—
1220#121—731no—
1221#121—731no—
1222#121—731no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121C22×D7311yescharacteristic
1241#121C22×D7311yescharacteristic
1242#121C22×D7311yescharacteristic
1243#121C22×D7311yescharacteristic
1244#120—1461no—
1245#120—1461no—
1246#120—1461no—
1247#120—1461no—
1248#120—1461no—
1249#120—1461no—
1250#120—1461no—
1251#120—1461no—
1252#120—1461no—
1253#120—1461no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—731no—
1257C4×Q8—731no—
1258C4×D4—21no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4C22×D7311yescharacteristic
1302C4×D4C22×D7311yescharacteristic
1303C4×D4C22×D7311yescharacteristic
1304#117—731no—
1305#117—731no—
1306#117—731no—
1307#117—1461no—
1308#117—1461no—
1309#117—1461no—
1310#117C22×D7311yescharacteristic
1311C2×C4⋊C4—731no—
1312C2×C4⋊C4—731no—
1313C2×C4⋊C4—1461no—
1314C2×C4⋊C4C22×D7311yescharacteristic
1315C2×C4⋊C4C22×D7311yescharacteristic
1316C2×C4⋊C4C22×D7311yescharacteristic
1317C2×C22⋊C4—1461no—
1318C2×C22⋊C4—1461no—
1319C2×C22⋊C4—1461no—
1320C2×C22⋊C4—1461no—
1321C2×C22⋊C4—1461no—
1322C2×C22⋊C4—1461no—
1323C2×C22⋊C4—1461no—
1324C2×C42—731no—
1325C2×C42—731no—
1326C2×C42—731no—
1327C2×C42—1461no—
1328#107—731no—
1329#107C22×D7311yescharacteristic
1330#107C22×D7311yescharacteristic
1331#107C22×D7311yescharacteristic
1332#106—731no—
1333#106—731no—
1334#106—731no—
1335#106—731no—
1336#106—731no—
1337#106—731no—
1338#106C22×D7311yescharacteristic
1339#106C22×D7311yescharacteristic
1340#106C22×D7311yescharacteristic
1341#106C22×D7311yescharacteristic
1342#106C22×D7311yescharacteristic
1343#106C22×D7311yescharacteristic
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8—731no—
1347C4⋊C8—731no—
1348C4⋊C8—731no—
1349C4⋊C8C22×D7311yescharacteristic
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102C22×D7311yescharacteristic
1377#102C22×D7311yescharacteristic
1378#102C22×D7311yescharacteristic
1379#102C22×D7311yescharacteristic
1380#102C22×D7311yescharacteristic
1381#102C22×D7311yescharacteristic
1382C22⋊C8—731no—
1383C22⋊C8—731no—
1384C22⋊C8—731no—
1385C22⋊C8—731no—
1386C22⋊C8C22×D7311yescharacteristic
1387C22⋊C8C22×D7311yescharacteristic
1388#97—731no—
1389#97—731no—
1390#97—731no—
1391#97—731no—
1392#97—731no—
1393#97—731no—
1394#97—731no—
1395#97C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C24—1461no—
1399C24—1461no—
1400C24—1461no—
1401C24—1461no—
1402C24—1461no—
1403#41—44no—
1404#41—2921no—
1405#41—2924no—
1406#41—2924no—
1407#41—2924no—
1408#41—2924no—
1409#41—2924no—
1410#41—2924no—
1411#41—5842no—
1412#41—1462no—
1413#41—1464no—
1414C2×Q8—21no—
1415C2×Q8—2924no—
1416C2×Q8—731no—
1417C2×Q8—731no—
1418C2×Q8—1461no—
1419C2×Q8—1461no—
1420C2×Q8—1461no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—2921no—
1426C2×D4—2921no—
1427C2×D4—2921no—
1428C2×D4—2924no—
1429C2×D4—2924no—
1430C2×D4—2924no—
1431C2×D4—2924no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—731no—
1435C2×D4—731no—
1436C2×D4—731no—
1437C2×D4—731no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—731no—
1441C2×D4—1461no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4—1462no—
1445C2×D4—1462no—
1446C2×D4—1462no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1462no—
1456C2×D4—1462no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4D4×D7311yescharacteristic
1467C2×D4C23×D7311yescharacteristic
1468C2×D4C23×D7311yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—2924no—
1475C22×C4—2924no—
1476C22×C4—2924no—
1477C22×C4—5842no—
1478C22×C4—5842no—
1479C22×C4—731no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—1461no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4C23×D7311yescharacteristic
1506C22×C4C23×D7311yescharacteristic
1507SD16—2921no—
1508SD16—2921no—
1509SD16—1462no—
1510SD16—1462no—
1511D8—22no—
1512D8—2921no—
1513D8—2921no—
1514D8—2921no—
1515D8—2921no—
1516D8—734no—
1517D8—1462no—
1518D8—1462no—
1519D8—1462no—
1520D8—1462no—
1521D8—1462no—
1522D8—1462no—
1523M16—22no—
1524M16—2921no—
1525C2×C8—22no—
1526C2×C8—2921no—
1527C2×C8—2921no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—731no—
1531C2×C8—731no—
1532C2×C8—1462no—
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C2×C8C23×D7311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—731no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4D4×D7311yescharacteristic
1562C4⋊C4C23×D7311yescharacteristic
1563C4⋊C4C23×D7311yescharacteristic
1564C4⋊C4C23×D7311yescharacteristic
1565C4⋊C4C23×D7311yescharacteristic
1566C4⋊C4C23×D7311yescharacteristic
1567C4⋊C4C23×D7311yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—731no—
1576C22⋊C4—731no—
1577C22⋊C4—731no—
1578C22⋊C4—731no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4D4×D7311yescharacteristic
1608C22⋊C4D4×D7311yescharacteristic
1609C42—21no—
1610C42—731no—
1611C42—731no—
1612C42—731no—
1613C42—731no—
1614C42—731no—
1615C42—731no—
1616C42—731no—
1617C42—731no—
1618C42—731no—
1619C42—1461no—
1620C42—1461no—
1621C42C23×D7311yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—2922no—
1625C23—2922no—
1626C23—2922no—
1627C23—2922no—
1628C23—2922no—
1629C23—2922no—
1630C23—2922no—
1631C23—2922no—
1632C23—2922no—
1633C23—2922no—
1634C23—5841no—
1635C23—5841no—
1636C23—5841no—
1637C23—5841no—
1638C23—5841no—
1639C23—731no—
1640C23—1461no—
1641C23—1461no—
1642C23—1461no—
1643C23—1461no—
1644C23—1461no—
1645C23C2×D4×D7311yescharacteristic
1646C23C2×D4×D7311yescharacteristic
1647Q8—42no—
1648Q8—2922no—
1649Q8—2922no—
1650Q8—5841no—
1651Q8—1462no—
1652Q8—1461no—
1653Q8—1461no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—81no—
1663D4—2922no—
1664D4—2922no—
1665D4—2922no—
1666D4—2922no—
1667D4—2922no—
1668D4—2922no—
1669D4—2922no—
1670D4—2922no—
1671D4—2922no—
1672D4—2922no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—5841no—
1679D4—5841no—
1680D4—5841no—
1681D4—5841no—
1682D4—5841no—
1683D4—734no—
1684D4—732no—
1685D4—732no—
1686D4—1462no—
1687D4—1461no—
1688D4—1461no—
1689D4—1461no—
1690D4—1461no—
1691D4—1461no—
1692D4—1461no—
1693D4—1461no—
1694D4—1461no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—2922no—
1711C2×C4—2922no—
1712C2×C4—2921no—
1713C2×C4—2922no—
1714C2×C4—2922no—
1715C2×C4—2922no—
1716C2×C4—2922no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2922no—
1725C2×C4—2922no—
1726C2×C4—2921no—
1727C2×C4—2921no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—5841no—
1731C2×C4—5841no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—731no—
1736C2×C4—731no—
1737C2×C4—731no—
1738C2×C4—731no—
1739C2×C4—1462no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1462no—
1744C2×C4—1462no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C2×D4×D7311yescharacteristic
1749C2×C4C2×D4×D7311yescharacteristic
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C24×D7311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1461no—
1756C8—1461no—
1757C8—1461no—
1758C8—1461no—
1759C8#41×D7312yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—2921no—
1772C22—2921no—
1773C22—2921no—
1774C22—2921no—
1775C22—2921no—
1776C22—2921no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—5844no—
1785C22—5844no—
1786C22—5844no—
1787C22—5844no—
1788C22—5844no—
1789C22—732no—
1790C22—1462no—
1791C22—1462no—
1792C22—1461no—
1793C22—1461no—
1794C22AGL(1,ℤ/8)×D7312yes—
1795C22C22×D4×D7311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—2921no—
1807C4—2921no—
1808C4—2921no—
1809C4—732no—
1810C4—1461no—
1811C4—1461no—
1812C4—1461no—
1813C4—1461no—
1814C4—1461no—
1815C4—1461no—
1816C4C2×#41×D7311yescharacteristic
1817C4#1798942411yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—81no—
1821C2—81no—
1822C2—2922no—
1823C2—2922no—
1824C2—5841no—
1825C2—5841no—
1826C2—5841no—
1827C2—1462no—
1828C2#2262341811yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1830C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3345C2
socleC22×C73C23×D4
hypercenter#3345D73
hypocenterC73#61451
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #22623538C2semidirect
2. #22623418C2semidirect
3. #22622974C2semidirect
4. #22622827C2semidirect
5. #22622726C2semidirect
6. #22622641C2semidirect
7. #22622402C2semidirect
8. #22622284C2semidirect
9. #22622075C2semidirect
10. #22622066C2semidirect
11. #22621895C2semidirect
12. #22621886C2semidirect
13. #22621753C2semidirect
14. #22621742C2semidirect
15. #22621605C2semidirect
16. #22621418C2semidirect
17. #22621416C2semidirect
18. #22620664C2semidirect
19. #22620631C2semidirect
20. #22620624C2semidirect
21. #22620077C2semidirect
22. #22620074C2semidirect
23. #22620066C2semidirect
24. #22620024C2semidirect
25. #22620019C2semidirect
26. #22620019C2semidirect
27. #22618941C2semidirect
28. #22618738C2semidirect
29. C2×#17988698C2semidirect
30. #442×D73C2semidirect
31. C73×#3345C2semidirect
36. #17989320C22semidirect
37. #17989293C22semidirect
38. #17989292C22semidirect
40. #17989281C22semidirect
43. #17989258C22semidirect
44. #17989252C22semidirect
47. #17989238C22semidirect
48. #17989234C22semidirect
49. #17989233C22semidirect
54. D4×D292C22semidirect
56. #17989221C22semidirect
57. #17989221C22semidirect
58. #17989138C22semidirect
59. #17989132C22semidirect
60. #17989132C22semidirect
61. #17989132C22semidirect
62. #17989122C22semidirect
64. #17989118C22semidirect
70. #17989055C22semidirect
72. C2×#14556553C22semidirect
73. C2×#14556553C22semidirect
74. C2×#14556553C22semidirect
76. C4×D4×D73C22semidirect
77. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988984C22semidirect
80. #17988976C22semidirect
81. #17988975C22semidirect
82. #17988962C22semidirect
83. #17988953C22semidirect
84. #17988950C22semidirect
85. #17988949C22semidirect
86. #17988945C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988919C22semidirect
90. #17988917C22semidirect
91. #17988911C22semidirect
92. #17988907C22semidirect
93. #17988907C22semidirect
94. #17988905C22semidirect
95. #17988905C22semidirect
96. #17988902C22semidirect
97. #17988890C22semidirect
98. #17988890C22semidirect
99. #17988884C22semidirect
100. #17988876C22semidirect
101. #17988876C22semidirect
102. #17988876C22semidirect
103. #17988876C22semidirect
104. #17988874C22semidirect
105. #17988871C22semidirect
106. #17988866C22semidirect
107. #17988840C22semidirect
108. #17988838C22semidirect
109. #17988838C22semidirect
110. #17988824C22semidirect
111. #17988824C22semidirect
112. #17988821C22semidirect
113. #17988817C22semidirect
114. #17988817C22semidirect
115. #17988816C22semidirect
116. #17988814C22semidirect
117. #17988803C22semidirect
118. #17988802C22semidirect
119. #17988801C22semidirect
120. #17988801C22semidirect
121. #17988786C22semidirect
122. #17988783C22semidirect
123. #17988782C22semidirect
125. #17988781C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
128. #17988781C22semidirect
129. #17988740C22semidirect
130. #17988739C22semidirect
131. #17988734C22semidirect
132. #17988730C22semidirect
133. #17988723C22semidirect
134. #17988723C22semidirect
136. #17988722C22semidirect
137. #17988722C22semidirect
139. #17988720C22semidirect
140. #17988720C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
144. #17988699C22semidirect
147. #17988698C22semidirect
148. #17988698C22semidirect
149. #17988698C22semidirect
150. #17988698C22semidirect
151. #17988698C22semidirect
152. #17988698C22semidirect
153. #17988698C22semidirect
154. #17988698C22semidirect
155. #17988697C22semidirect
156. #17988697C22semidirect
157. #17988696C22semidirect
158. #17988696C22semidirect
159. #17988696C22semidirect
160. #17988696C22semidirect
161. #17988696C22semidirect
162. #17988686C22semidirect
163. #17988686C22semidirect
164. #17988686C22semidirect
165. #17988684C22semidirect
166. #17988674C22semidirect
167. #17988674C22semidirect
169. #17988669C22semidirect
170. #17988661C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #106×D73C22semidirect
179. #17988591C22semidirect
180. #17988586C22semidirect
181. C2×#14556511C22semidirect
182. C2×#14556511C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #553×C73C22semidirect
189. #547×C73C22semidirect
190. #501×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #481×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #476×C73C22semidirect
197. #469×C73C22semidirect
198. #466×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#106×C73C22semidirect
584. D584#41semidirect
774. C22⋊D73AGL(1,ℤ/8)semidirect
808. D292C2×#41semidirect
839. C8×C73C2×#41semidirect
923. #3345D73semidirect
947. C73#61451semidirect
957. #553C2×D73semidirect
965. #547C2×D73semidirect
997. #501C2×D73semidirect
1011. #482C2×D73semidirect
1016. #481C2×D73semidirect
1017. #481C2×D73semidirect
1019. #480C2×D73semidirect
1023. #478C2×D73semidirect
1029. #476C2×D73semidirect
1035. #469C2×D73semidirect
1039. #466C2×D73semidirect
1089. #442C2×D73semidirect
1101. #435C2×D73semidirect
1107. #428C2×D73semidirect
1109. C2×#106C2×D73semidirect
1759. C8#41×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
#226234182
#226229742
#226228272
#226227262
#226226412
#226224022
#226222842
#226220752
#226220662
#226218952
#226218862
#226217532
#226217422
#226216052
#226214182
#226214162
#226206642
#226206312
#226206242
#226200772
#226200742
#226200662
#226200242
#226200192
#226189412
#226187382
C2×#179886982
#442×D732
C73×#33452
#6145173