Finite Group Databasebeta

← #33968911

Subgroups — #33968911

Order 18688.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623976C211yesmaximal, characteristic, complemented
2#22623959C211yesmaximal, characteristic, complemented
3#22622952C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622583C211yesmaximal, characteristic, complemented
6#22622565C211yesmaximal, characteristic, complemented
7#22622522C211yesmaximal, characteristic, complemented
8#22622412C211yesmaximal, characteristic, complemented
9#22621857C211yesmaximal, characteristic, complemented
10#22621779C211yesmaximal, characteristic, complemented
11#22621775C211yesmaximal, characteristic, complemented
12#22621753C211yesmaximal, characteristic, complemented
13#22621749C211yesmaximal, characteristic, complemented
14#22621742C211yesmaximal, characteristic, complemented
15#22621528C211yesmaximal, characteristic, complemented
16#22621416C211yesmaximal, characteristic, complemented
17#22621408C211yesmaximal, characteristic, complemented
18#22620619C211yesmaximal, characteristic, complemented
19#22620607C211yesmaximal, characteristic, complemented
20#22620485C211yesmaximal, characteristic, complemented
21#22620137C211yesmaximal, characteristic, complemented
22#22620133C211yesmaximal, characteristic, complemented
23#22620122C211yesmaximal, characteristic, complemented
24#22620118C211yesmaximal, characteristic, complemented
25#22620027C211yesmaximal, characteristic, complemented
26#22620019C211yesmaximal, characteristic, complemented
27#22618901C211yesmaximal, characteristic, complemented
28#22618762C211yesmaximal, characteristic, complemented
29#22618761C211yesmaximal, characteristic, complemented
30C2×#17988669C211yesmaximal, characteristic, complemented
31C73×#3346C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C22×D584C2211yescharacteristic
35#17989309C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic, complemented
37#17989293C2211yescharacteristic, complemented
38#17989292C2211yescharacteristic, complemented
39#17989288—21no—
40#17989285C2211yescharacteristic
41#17989269—21no—
42#17989266—21no—
43#17989264—21no—
44#17989258C2211yescharacteristic, complemented
45#17989252C2211yescharacteristic, complemented
46#17989247—21no—
47#17989239C2211yescharacteristic, complemented
48#17989238C2211yescharacteristic, complemented
49#17989233C2211yescharacteristic, complemented
50#17989232—21no—
51#17989229—21no—
52#17989228C2211yescharacteristic, complemented
53#17989226—21no—
54D4×D292C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic, complemented
57#17989211C2211yescharacteristic, complemented
58#17989210C2211yescharacteristic, complemented
59#17989193C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic, complemented
61#17989185—21no—
62#17989183—21no—
63#17989176—21no—
64#17989173—21no—
65#17989139C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic
67#17989117C2211yescharacteristic
68#17989096—21no—
69#17989096—21no—
70C22⋊Q8×D73—21no—
71#121×D73—21no—
72#17989069C2211yescharacteristic, complemented
73#17989068C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic, complemented
76C2×#14556553C2211yescharacteristic
77C2×#14556553C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988944C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988936C2211yescharacteristic, complemented
86#17988935C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988922C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988905C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988884C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988874C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988841C2211yescharacteristic, complemented
108#17988840C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic
118#17988805C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic
120#17988802C2211yescharacteristic, complemented
121#17988791C2211yescharacteristic, complemented
122#17988791C2211yescharacteristic, complemented
123#17988787C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988740C2211yescharacteristic
130#17988739C2211yescharacteristic, complemented
131#17988737C2211yescharacteristic
132#17988737C2211yescharacteristic, complemented
133#17988735C2211yescharacteristic, complemented
134#17988735C2211yescharacteristic, complemented
135#17988734C2211yescharacteristic, complemented
136#17988730C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic
138#17988723C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic
140#17988720C2211yescharacteristic, complemented
141#17988715C2211yescharacteristic, complemented
142#17988711C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988698C2211yescharacteristic
145#17988698C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic, complemented
151#17988686C2211yescharacteristic, complemented
152#17988686C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic, complemented
154#17988678C2211yescharacteristic, complemented
155SD16×Dic73C2211yescharacteristic, complemented
156C4×#11924015C2211yescharacteristic, complemented
157#17988674C2211yescharacteristic, complemented
158#17988674C2211yescharacteristic, complemented
159#17988672C2211yescharacteristic, complemented
160#17988669C2211yescharacteristic
161#17988669C2211yescharacteristic
162#17988669C2211yescharacteristic
163#17988669C2211yescharacteristic
164#17988669C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172D4×#10596831C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988582C2211yescharacteristic, complemented
180#17988581C2211yescharacteristic, complemented
181C2×#14556511C2211yescharacteristic
182C2×#14556511C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988545C2211yescharacteristic, complemented
186#17988544C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×Q8×D73—21no—
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C22×C4×D73—21no—
217C22×C4×D73—21no—
218#14556619—24no—
219#14556618—24no—
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×D584—24no—
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C22×#10596831C2311yescharacteristic
238C22×#10596831C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556588C2311yescharacteristic
245#14556587C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556586D411yescharacteristic
252#14556585—21no—
253#14556584D411yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581D411yescharacteristic
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556579—21no—
261#14556579C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577D411yescharacteristic
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556575—21no—
275#14556575D411yescharacteristic
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572D411yescharacteristic
281#14556571—21no—
282#14556571—21no—
283#14556571C2311yescharacteristic
284#14556570—21no—
285#14556570C2311yescharacteristic
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556568D411yescharacteristic
295#14556567—21no—
296#14556567—21no—
297#14556566—21no—
298#14556566—21no—
299#14556566—21no—
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563D411yescharacteristic
319#14556562—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556559—21no—
326#14556559—21no—
327#14556559—21no—
328Q8×Dic73C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556550C2311yescharacteristic
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556548—21no—
369#14556548—21no—
370#14556548—21no—
371#14556548C2311yescharacteristic
372#14556547—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C2×#11924005—21no—
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C2×C4×Dic73C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556514C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556511C2311yescharacteristic
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
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485#11924029—22no—
486#11924029—41no—
487#11924028—22no—
488#11924028—41no—
489#11924028—82no—
490#11924028—82no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—82no—
498C2×D292—22no—
499C2×D292—22no—
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73C2×D411yescharacteristic
528C2×C22⋊D73C2×D411yescharacteristic
529D4×D73—22no—
530D4×D73—41no—
531D4×D73—82no—
532D4×D73—82no—
533D4×D73—82no—
534C22×Dic73—21no—
535C22×Dic73C2×D411yescharacteristic
536C22×Dic73C2×D411yescharacteristic
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—82no—
555C2×C4×D73—82no—
556C2×C4×D73C2411yescharacteristic
557#11924017—22no—
558#11924017—22no—
559#11924017—41no—
560#11924016—41no—
561#11924015—22no—
562#11924015—41no—
563#11924015—41no—
564D584—22no—
565D584—22no—
566D584—22no—
567D584—22no—
568D584—41no—
569D584#4114yescomplemented
570#11924013—22no—
571#11924013—41no—
572#11924011—22no—
573C2×#10596831—41no—
574C2×#10596831—41no—
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C8×D73—41no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C2×Q8×C73—21no—
650C2×Q8×C73C2411yescharacteristic
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73C2×D411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73C2411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661SD16×C73—22no—
662M16×C73—22no—
663C2×C8×C73—22no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73C2×D411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C4⋊C4×C73C2411yescharacteristic
683C4⋊C4×C73C2411yescharacteristic
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73C2×D411yescharacteristic
691C22⋊C4×C73C2×D411yescharacteristic
692C42×C73—21no—
693C42×C73—21no—
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73C22×D411yescharacteristic
697C23×C73C22×D411yescharacteristic
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73—42no—
708C22×D73—42no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73C22×D411yescharacteristic
716Q8×C73—21no—
717Q8×C73—21no—
718Q8×C73—81no—
719D4×C73—22no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—42no—
723D4×C73—81no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73—81no—
738C2×C4×C73—81no—
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C2511yescharacteristic
744C22⋊D73—22no—
745C22⋊D73—22no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C2×Dic73—22no—
756C2×Dic73—22no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—81no—
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768D292—21no—
769D292—21no—
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—42no—
777D292—42no—
778D292—42no—
779D292—42no—
780D292—81no—
781D292—81no—
782D292—81no—
783D292—81no—
784D292—81no—
785D292C2×#4112yes—
786D292C2×#4112yes—
787C4×D73—21no—
788C4×D73—21no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806Dic146—22no—
807Dic146—21no—
808Dic146—21no—
809Dic146—42no—
810Dic146—81no—
811Dic146—81no—
812C8×C73—21no—
813C8×C73—21no—
814C8×C73—21no—
815C8×C73C2×#4112yes—
816#10596831—21no—
817#10596831—21no—
818#10596831—21no—
819#10596831—21no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73#57712yes—
829C22×C73C23×D411yescharacteristic
830C2×D73—21no—
831C2×D73—22no—
832C2×D73—22no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—84no—
849C2×D73—84no—
850C2×D73—162no—
851C2×D73—162no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73C22×#4111yescharacteristic
864C4×C73#58511yescharacteristic
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73#57612yes—
875#61496—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—41no—
878C2×C73—81no—
879C2×C73D4×#4111yescharacteristic
880C2×C73C2×#57611yescharacteristic
881C2×C73C2×#57711yescharacteristic
882D73—41no—
883D73—42no—
884D73—42no—
885D73—81no—
886D73—81no—
887D73—81no—
888#3520—731no—
889#3519—731no—
890#3397—731no—
891#3384—731no—
892#3360—731no—
893#3358—731no—
894#3354—731no—
895#3346—731no—
896#3346D7311yescharacteristic, complemented
897#3303—731no—
898#3297—731no—
899#3297—731no—
900#3295—731no—
901#3295—731no—
902#3294—731no—
903#3272—731no—
904#3264—731no—
905#3264—731no—
906#3179—731no—
907#3179—731no—
908#3167—731no—
909#3119—731no—
910#3119—731no—
911#3118—731no—
912#3118—731no—
913#3110—731no—
914#3109—731no—
915#2966—731no—
916#2946—731no—
917#2946—731no—
918C2×C4×D8—731no—
919C73#6149611yescharacteristic, complemented, Sylow
920C2×AGL(1,ℤ/8)—731no—
921C2×AGL(1,ℤ/8)—731no—
922C22×D8—731no—
923#556—731no—
924#555—731no—
925#554—731no—
926#554—731no—
927#554C2×D7311yescharacteristic, complemented
928#553—731no—
929#553—1461no—
930#553C2×D7311yescharacteristic
931#552—1461no—
932#551—1461no—
933#551—1461no—
934#550—731no—
935D4×Q8—731no—
936#548—1461no—
937#547—731no—
938#547—731no—
939#546—731no—
940#546—731no—
941#546—1461no—
942#546—1461no—
943#546—1461no—
944D42—731no—
945D42—731no—
946D42—731no—
947#542—731no—
948#542—731no—
949#540—731no—
950#540—731no—
951#539—1461no—
952#539—1461no—
953#538—1461no—
954#538—1461no—
955#533—731no—
956#532—731no—
957#529—731no—
958#525—1461no—
959#525—1461no—
960C2×C22⋊Q8—1461no—
961C2×#121—1461no—
962#520—731no—
963#520—731no—
964#518—731no—
965#518—731no—
966C2×C4×D4—731no—
967C2×C4×D4—731no—
968#501—731no—
969#501C2×D7311yescharacteristic, complemented
970#498—731no—
971#496—731no—
972#496—731no—
973#492—731no—
974#488—731no—
975#488—731no—
976#487—731no—
977#486—731no—
978#486—731no—
979#486—731no—
980#485—731no—
981#485C2×D7311yescharacteristic, complemented
982#484—731no—
983#484C2×D7311yescharacteristic, complemented
984#482—731no—
985#482—731no—
986#481—731no—
987#481—731no—
988#481—731no—
989#481C2×D7311yescharacteristic, complemented
990#480—731no—
991#480C2×D7311yescharacteristic, complemented
992#479—731no—
993#479C2×D7311yescharacteristic, complemented
994#478—731no—
995#478—731no—
996#476—731no—
997#476—731no—
998#476—731no—
999#476—731no—
1000#474—731no—
1001#474—731no—
1002#474—731no—
1003#474C2×D7311yescharacteristic, complemented
1004#469—731no—
1005#469—731no—
1006#468—731no—
1007#468C2×D7311yescharacteristic, complemented
1008#466—731no—
1009#466—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465C2×D7311yescharacteristic, complemented
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#461—731no—
1021#461—731no—
1022#460—731no—
1023#460—731no—
1024#459—731no—
1025#459—731no—
1026#459—731no—
1027#459—731no—
1028#450—731no—
1029#450—731no—
1030#450—731no—
1031#450—731no—
1032#449—731no—
1033#449—731no—
1034#449—731no—
1035#449—731no—
1036#447—731no—
1037#447—731no—
1038#447—731no—
1039#447—731no—
1040#446—731no—
1041C8×Q8—731no—
1042#442—731no—
1043#442—731no—
1044#442—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#440—731no—
1049#440—731no—
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440C2×D7311yescharacteristic, complemented
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058C4×SD16—731no—
1059C4×SD16—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063C4×D8—731no—
1064C4×D8—731no—
1065C4×D8—731no—
1066C4×D8—731no—
1067C4×D8—731no—
1068C4×D8—731no—
1069C4×D8—731no—
1070#436—731no—
1071#435—731no—
1072#435C2×D7311yescharacteristic, complemented
1073C8×D4—731no—
1074C8×D4—731no—
1075C8×D4—731no—
1076#433—731no—
1077#433—731no—
1078#432—731no—
1079#428—731no—
1080#428C2×D7311yescharacteristic, complemented
1081C2×#107C2×D7311yescharacteristic, complemented
1082#416—731no—
1083#416—731no—
1084C2×#102—731no—
1085C2×#102—731no—
1086C2×#102—731no—
1087C2×#102—731no—
1088#405—731no—
1089#405—731no—
1090C2×C4×C8—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—1461no—
1094C2×#41—1461no—
1095C2×#41—1461no—
1096C22×Q8—1461no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—731no—
1101C22×D4—1461no—
1102C22×D4—1461no—
1103C22×D4—1461no—
1104C23×C4—1461no—
1105C23×C4—1461no—
1106AGL(1,ℤ/8)—1464no—
1107AGL(1,ℤ/8)—1464no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16C22×D7311yescharacteristic
1116C2×D8—731no—
1117C2×D8—731no—
1118C2×D8—731no—
1119C2×D8—731no—
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—1464no—
1125C2×M16—731no—
1126C2×M16C22×D7311yescharacteristic
1127C22×C8—731no—
1128C22×C8—731no—
1129C22×C8—731no—
1130C22×C8C22×D7311yescharacteristic
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8C22×D7311yescharacteristic
1136#127—731no—
1137#127—731no—
1138#127—731no—
1139#126—21no—
1140#126—731no—
1141#126—731no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—21no—
1148#125—731no—
1149#125—731no—
1150#125—1461no—
1151#125—1461no—
1152#125C22×D7311yescharacteristic
1153#124—731no—
1154#124—731no—
1155#124—731no—
1156#124—1461no—
1157#124—1461no—
1158#124—1461no—
1159#124—1461no—
1160#124—1461no—
1161#123—21no—
1162#123—731no—
1163#123—731no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8C22×D7311yescharacteristic
1196C22⋊Q8C22×D7311yescharacteristic
1197#121—21no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—731no—
1202#121—731no—
1203#121—731no—
1204#121—731no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121C22×D7311yescharacteristic
1222#121C22×D7311yescharacteristic
1223#120—1461no—
1224#120—1461no—
1225#120—1461no—
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—1461no—
1236C4×Q8C22×D7311yescharacteristic
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273#117—731no—
1274#117—731no—
1275#117—731no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117C22×D7311yescharacteristic
1282C2×C4⋊C4—731no—
1283C2×C4⋊C4—1461no—
1284C2×C4⋊C4—1461no—
1285C2×C4⋊C4—1461no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4C22×D7311yescharacteristic
1288C2×C4⋊C4C22×D7311yescharacteristic
1289C2×C4⋊C4C22×D7311yescharacteristic
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C42—731no—
1299#107—731no—
1300#107—731no—
1301#107C22×D7311yescharacteristic
1302#107C22×D7311yescharacteristic
1303#107C22×D7311yescharacteristic
1304#107C22×D7311yescharacteristic
1305#107C22×D7311yescharacteristic
1306#107C22×D7311yescharacteristic
1307#106—731no—
1308#106—731no—
1309#106—731no—
1310#106—731no—
1311#106—731no—
1312#106C22×D7311yescharacteristic
1313#106C22×D7311yescharacteristic
1314#106C22×D7311yescharacteristic
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8C22×D7311yescharacteristic
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103C22×D7311yescharacteristic
1327#103C22×D7311yescharacteristic
1328#103C22×D7311yescharacteristic
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102C22×D7311yescharacteristic
1351#102C22×D7311yescharacteristic
1352#102C22×D7311yescharacteristic
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356C22⋊C8—731no—
1357C22⋊C8C22×D7311yescharacteristic
1358C22⋊C8C22×D7311yescharacteristic
1359#97—731no—
1360#97—731no—
1361#97—731no—
1362#97C22×D7311yescharacteristic
1363C4×C8—731no—
1364C4×C8—731no—
1365C4×C8—731no—
1366C4×C8—731no—
1367C4×C8—731no—
1368C4×C8—731no—
1369C24—1461no—
1370C24—1461no—
1371C24—1461no—
1372C24—1461no—
1373#41—2921no—
1374#41—2921no—
1375#41—5842no—
1376#41—5842no—
1377#41—5842no—
1378#41—1462no—
1379#41—1462no—
1380C2×Q8—21no—
1381C2×Q8—5842no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8C23×D7311yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—2921no—
1391C2×D4—2921no—
1392C2×D4—2921no—
1393C2×D4—2921no—
1394C2×D4—5842no—
1395C2×D4—5842no—
1396C2×D4—5842no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—1461no—
1405C2×D4—1462no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1462no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4D4×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—5842no—
1433C22×C4—5842no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4C23×D7311yescharacteristic
1456C22×C4C23×D7311yescharacteristic
1457SD16—22no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—1462no—
1463SD16—1462no—
1464SD16—1462no—
1465D8—2921no—
1466D8—2921no—
1467D8—734no—
1468D8—1462no—
1469D8—1462no—
1470D8—1462no—
1471D8—1462no—
1472D8—1462no—
1473M16—22no—
1474M16—1462no—
1475C2×C8—22no—
1476C2×C8—2921no—
1477C2×C8—2921no—
1478C2×C8—2921no—
1479C2×C8—731no—
1480C2×C8—731no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8C23×D7311yescharacteristic
1484C2×C8C23×D7311yescharacteristic
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4D4×D7311yescharacteristic
1521C4⋊C4C23×D7311yescharacteristic
1522C4⋊C4C23×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4D4×D7311yescharacteristic
1570C22⋊C4D4×D7311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42C23×D7311yescharacteristic
1583C23—21no—
1584C23—2922no—
1585C23—2922no—
1586C23—2922no—
1587C23—2922no—
1588C23—2922no—
1589C23—2922no—
1590C23—5841no—
1591C23—5841no—
1592C23—5841no—
1593C23—5841no—
1594C23—5841no—
1595C23—5841no—
1596C23—731no—
1597C23—1461no—
1598C23—1461no—
1599C23—1461no—
1600C23—1461no—
1601C23—1461no—
1602C23C2×D4×D7311yescharacteristic
1603C23C2×D4×D7311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—2922no—
1608Q8—5841no—
1609Q8—5841no—
1610Q8—1462no—
1611Q8—1461no—
1612Q8—1461no—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—42no—
1617D4—81no—
1618D4—2922no—
1619D4—2922no—
1620D4—2922no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—732no—
1637D4—732no—
1638D4—1462no—
1639D4—1462no—
1640D4—1461no—
1641D4—1461no—
1642D4—1461no—
1643D4—1461no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
1647D4—1461no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—2922no—
1664C2×C4—2922no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—5841no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—731no—
1687C2×C4—731no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1462no—
1692C2×C4—1462no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C24×D7311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—1461no—
1704C8—1461no—
1705C8—1461no—
1706C8—1461no—
1707C8#41×D7312yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—5844no—
1730C22—5844no—
1731C22—11682no—
1732C22—11682no—
1733C22—1461no—
1734C22—1461no—
1735C22—1462no—
1736C22—1461no—
1737C22—1462no—
1738C22#1798939612yes—
1739C22C22×D4×D7311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—732no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4—1461no—
1761C4C2×#41×D7311yescharacteristic
1762C4#1798942411yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—81no—
1766C2—2922no—
1767C2—2922no—
1768C2—2921no—
1769C2—5841no—
1770C2—5841no—
1771C2—5841no—
1772C2#2262341811yescharacteristic
1773C2#576×D7311yescharacteristic
1774C2C2×#1798939611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3346C2
socleC22×C73C23×D4
hypercenter#3346D73
hypocenterC73#61496
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #22623976C2semidirect
2. #22623959C2semidirect
3. #22622952C2semidirect
4. #22622827C2semidirect
5. #22622583C2semidirect
6. #22622565C2semidirect
7. #22622522C2semidirect
8. #22622412C2semidirect
9. #22621857C2semidirect
10. #22621779C2semidirect
11. #22621775C2semidirect
12. #22621753C2semidirect
13. #22621749C2semidirect
14. #22621742C2semidirect
15. #22621528C2semidirect
16. #22621416C2semidirect
17. #22621408C2semidirect
18. #22620619C2semidirect
19. #22620607C2semidirect
20. #22620485C2semidirect
21. #22620137C2semidirect
22. #22620133C2semidirect
23. #22620122C2semidirect
24. #22620118C2semidirect
25. #22620027C2semidirect
26. #22620019C2semidirect
27. #22618901C2semidirect
28. #22618762C2semidirect
29. #22618761C2semidirect
30. C2×#17988669C2semidirect
31. C73×#3346C2semidirect
35. #17989309C22semidirect
36. #17989300C22semidirect
37. #17989293C22semidirect
38. #17989292C22semidirect
44. #17989258C22semidirect
45. #17989252C22semidirect
47. #17989239C22semidirect
48. #17989238C22semidirect
49. #17989233C22semidirect
52. #17989228C22semidirect
56. #17989221C22semidirect
57. #17989211C22semidirect
58. #17989210C22semidirect
59. #17989193C22semidirect
60. #17989190C22semidirect
65. #17989139C22semidirect
72. #17989069C22semidirect
73. #17989068C22semidirect
74. #17989061C22semidirect
75. #17989059C22semidirect
77. C2×#14556553C22semidirect
78. #17988995C22semidirect
79. #17988984C22semidirect
80. #17988976C22semidirect
81. #17988973C22semidirect
82. #17988958C22semidirect
83. #17988944C22semidirect
84. #17988943C22semidirect
85. #17988936C22semidirect
86. #17988935C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988930C22semidirect
90. #17988922C22semidirect
91. #17988914C22semidirect
92. #17988911C22semidirect
93. #17988907C22semidirect
94. #17988905C22semidirect
95. #17988905C22semidirect
96. #17988902C22semidirect
97. #17988893C22semidirect
98. #17988890C22semidirect
99. #17988884C22semidirect
100. #17988876C22semidirect
101. #17988876C22semidirect
102. #17988876C22semidirect
103. #17988874C22semidirect
104. #17988866C22semidirect
105. #17988866C22semidirect
106. #17988866C22semidirect
107. #17988841C22semidirect
108. #17988840C22semidirect
109. #17988834C22semidirect
110. #17988824C22semidirect
111. #17988821C22semidirect
112. #17988818C22semidirect
113. #17988818C22semidirect
114. #17988817C22semidirect
115. #17988816C22semidirect
116. #17988814C22semidirect
118. #17988805C22semidirect
120. #17988802C22semidirect
121. #17988791C22semidirect
122. #17988791C22semidirect
123. #17988787C22semidirect
124. #17988786C22semidirect
125. #17988783C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
128. #17988781C22semidirect
130. #17988739C22semidirect
132. #17988737C22semidirect
133. #17988735C22semidirect
134. #17988735C22semidirect
135. #17988734C22semidirect
136. #17988730C22semidirect
138. #17988723C22semidirect
140. #17988720C22semidirect
141. #17988715C22semidirect
142. #17988711C22semidirect
145. #17988698C22semidirect
146. #17988698C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
149. #17988690C22semidirect
150. #17988690C22semidirect
151. #17988686C22semidirect
152. #17988686C22semidirect
153. #17988686C22semidirect
154. #17988678C22semidirect
155. SD16×Dic73C22semidirect
156. C4×#11924015C22semidirect
157. #17988674C22semidirect
158. #17988674C22semidirect
159. #17988672C22semidirect
164. #17988669C22semidirect
165. #17988669C22semidirect
166. #17988669C22semidirect
167. #17988669C22semidirect
168. #17988669C22semidirect
169. C4×#11924013C22semidirect
170. #17988663C22semidirect
171. #17988658C22semidirect
172. D4×#10596831C22semidirect
173. #17988650C22semidirect
174. #17988650C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988628C22semidirect
179. #17988582C22semidirect
180. #17988581C22semidirect
182. C2×#14556511C22semidirect
183. C2×#14556511C22semidirect
184. #102×D73C22semidirect
185. #17988545C22semidirect
186. #17988544C22semidirect
187. C2×C8×Dic73C22semidirect
188. #554×C73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #481×C73C22semidirect
194. #480×C73C22semidirect
195. #479×C73C22semidirect
196. #474×C73C22semidirect
197. #468×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#107×C73C22semidirect
569. D584#41semidirect
896. #3346D73semidirect
919. C73#61496semidirect
927. #554C2×D73semidirect
969. #501C2×D73semidirect
981. #485C2×D73semidirect
983. #484C2×D73semidirect
989. #481C2×D73semidirect
991. #480C2×D73semidirect
993. #479C2×D73semidirect
1003. #474C2×D73semidirect
1007. #468C2×D73semidirect
1015. #465C2×D73semidirect
1053. #440C2×D73semidirect
1072. #435C2×D73semidirect
1080. #428C2×D73semidirect
1081. C2×#107C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239762
#226239592
#226229522
#226228272
#226225832
#226225652
#226225222
#226224122
#226218572
#226217792
#226217752
#226217532
#226217492
#226217422
#226215282
#226214162
#226214082
#226206192
#226206072
#226204852
#226201372
#226201332
#226201222
#226201182
#226200272
#226200192
#226189012
#226187622
#226187612
C2×#179886692
C73×#33462
#6149673