Finite Group Databasebeta

← #33969124

Subgroups — #33969124

Order 18688.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623895C211yesmaximal, characteristic, complemented
2#22623878C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622687C211yesmaximal, characteristic, complemented
7#22622522C211yesmaximal, characteristic, complemented
8#22622442C211yesmaximal, characteristic, complemented
9#22622171C211yesmaximal, characteristic, complemented
10#22622145C211yesmaximal, characteristic, complemented
11#22622085C211yesmaximal, characteristic, complemented
12#22622066C211yesmaximal, characteristic, complemented
13#22621961C211yesmaximal, characteristic, complemented
14#22621890C211yesmaximal, characteristic, complemented
15#22621539C211yesmaximal, characteristic, complemented
16#22621416C211yesmaximal, characteristic, complemented
17#22621408C211yesmaximal, characteristic, complemented
18#22620607C211yesmaximal, characteristic, complemented
19#22620541C211yesmaximal, characteristic, complemented
20#22620528C211yesmaximal, characteristic, complemented
21#22620203C211yesmaximal, characteristic, complemented
22#22620170C211yesmaximal, characteristic, complemented
23#22620118C211yesmaximal, characteristic, complemented
24#22620110C211yesmaximal, characteristic, complemented
25#22620047C211yesmaximal, characteristic, complemented
26#22620024C211yesmaximal, characteristic, complemented
27#22618913C211yesmaximal, characteristic, complemented
28#22618782C211yesmaximal, characteristic, complemented
29#22618761C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C73×#3350C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C22×D584C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989320C2211yescharacteristic, complemented
37#17989300C2211yescharacteristic
38#17989300C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic, complemented
40#17989287—21no—
41#17989276C2211yescharacteristic, complemented
42#17989265—21no—
43#17989262—21no—
44#17989262—21no—
45#17989262—21no—
46#17989252C2211yescharacteristic, complemented
47#17989249—21no—
48#17989238C2211yescharacteristic, complemented
49#17989234—21no—
50#17989234C2211yescharacteristic, complemented
51#17989233C2211yescharacteristic
52#17989230—21no—
53#17989228C2211yescharacteristic
54#17989228C2211yescharacteristic, complemented
55D4×D292C2211yescharacteristic, complemented
56#17989221C2211yescharacteristic, complemented
57#17989210C2211yescharacteristic, complemented
58#17989210C2211yescharacteristic, complemented
59#17989204C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic, complemented
61#17989178—21no—
62#17989176—21no—
63#17989176—21no—
64#17989169—21no—
65#17989138C2211yescharacteristic, complemented
66#17989124—21no—
67#17989122C2211yescharacteristic, complemented
68#17989119C2211yescharacteristic
69#124×D73—21no—
70#17989096—21no—
71#123×D73—21no—
72#17989068C2211yescharacteristic, complemented
73#17989061C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic, complemented
75#17989061C2211yescharacteristic, complemented
76C4×#11924029C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988953C2211yescharacteristic, complemented
84#17988949C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic, complemented
97#17988890C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988884C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988874C2211yescharacteristic, complemented
104#17988871C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988841C2211yescharacteristic, complemented
109#17988841C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic
112#17988834C2211yescharacteristic, complemented
113#17988834C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic
126#17988782C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic
128#17988781C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic, complemented
131#17988740C2211yescharacteristic, complemented
132#17988737C2211yescharacteristic, complemented
133#17988735C2211yescharacteristic
134#17988734C2211yescharacteristic
135#17988723C2211yescharacteristic
136#17988723C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic, complemented
139#17988720C2211yescharacteristic
140#17988720C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988698C2211yescharacteristic
145#17988698C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic, complemented
147#17988698C2211yescharacteristic, complemented
148#17988698C2211yescharacteristic, complemented
149#17988698C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic, complemented
152#17988696C2211yescharacteristic, complemented
153#17988691C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988686C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic, complemented
158SD16×Dic73C2211yescharacteristic, complemented
159#17988674C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic, complemented
161#17988674C2211yescharacteristic, complemented
162#17988672C2211yescharacteristic, complemented
163#17988669C2211yescharacteristic
164#17988669C2211yescharacteristic
165#17988669C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic, complemented
180#17988591C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic, complemented
184C2×#14556511C2211yescharacteristic, complemented
185#17988545C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#482×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#476×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×Q8×D73—21no—
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556619—24no—
216#14556618—24no—
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×D584—24no—
224C2×D584C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556588C2311yescharacteristic
241#14556587C2311yescharacteristic
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584D411yescharacteristic
248#14556584D411yescharacteristic
249#14556583—21no—
250#14556582D411yescharacteristic
251#14556582C2311yescharacteristic
252#14556580—21no—
253#14556580C2311yescharacteristic
254#14556580C2311yescharacteristic
255#14556579—21no—
256#14556579—21no—
257#14556579—21no—
258#14556579C2311yescharacteristic
259#14556578—21no—
260#14556578D411yescharacteristic
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—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#14556574—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573D411yescharacteristic
284#14556573D411yescharacteristic
285#14556572—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571D411yescharacteristic
290#14556571C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556567—21no—
299#14556566—21no—
300#14556566—21no—
301#14556566—21no—
302#14556566—21no—
303#14556566C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556562—21no—
315#14556562—21no—
316#14556562D411yescharacteristic
317#14556561—21no—
318#14556561—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556559—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329C4×D292—21no—
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361#14556551—21no—
362#14556550C2311yescharacteristic
363#14556550C2311yescharacteristic
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556548—21no—
369#14556548—21no—
370#14556548—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
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#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
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#126×C73—21no—
444#126×C73—21no—
445#125×C73C2311yescharacteristic
446#124×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×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
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#11924029—82no—
488#11924028—22no—
489#11924028—41no—
490#11924028—82no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496Q8×D73—82no—
497C2×D292—22no—
498C2×D292—22no—
499C2×D292—22no—
500C2×D292—21no—
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—41no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—22no—
527D4×D73—41no—
528D4×D73—82no—
529D4×D73—82no—
530C22×Dic73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—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—82no—
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552#11924018—41no—
553#11924017—22no—
554#11924017—22no—
555#11924017—41no—
556#11924015—22no—
557#11924015—41no—
558D584—22no—
559D584—22no—
560D584—22no—
561D584—22no—
562D584—41no—
563D584#4114yescomplemented
564#11924013—22no—
565#11924013—41no—
566#11924013—41no—
567#11924012—41no—
568#11924011—22no—
569#11924011—41no—
570C2×#10596831—41no—
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73C2×D411yescharacteristic
579C4⋊Dic73C2×D411yescharacteristic
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73—21no—
647C2×Q8×C73C2411yescharacteristic
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2×D411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656SD16×C73—22no—
657M16×C73—22no—
658C2×C8×C73—22no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73C2×D411yescharacteristic
686C22⋊C4×C73C2×D411yescharacteristic
687C42×C73—21no—
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73C22×D411yescharacteristic
713Q8×C73—21no—
714Q8×C73—21no—
715Q8×C73—42no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—41no—
719D4×C73—81no—
720D4×C73—81no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
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—81no—
733C2×C4×C73—81no—
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C2511yescharacteristic
739C22⋊D73—41no—
740C22⋊D73—41no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—81no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—81no—
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759D292—21no—
760D292—21no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—42no—
768D292—42no—
769D292—42no—
770D292—42no—
771D292—42no—
772D292—42no—
773D292—81no—
774D292—81no—
775D292—81no—
776D292C2×#4112yes—
777D292C2×#4112yes—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—41no—
781C4×D73—41no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—81no—
787C4×D73—81no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—21no—
800Dic146—21no—
801Dic146—41no—
802Dic146—81no—
803Dic146—81no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73C23×D411yescharacteristic
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—22no—
827C2×D73—22no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C2×D73—162no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73C22×#4111yescharacteristic
857C4×C73#58511yescharacteristic
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—21no—
864Dic73—21no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868#61505—731nomaximal, Sylow
869C2×C73—41no—
870C2×C73—41no—
871C2×C73—81no—
872C2×C73D4×#4111yescharacteristic
873C2×C73#358511yescharacteristic
874C2×C73#358511yescharacteristic
875D73—41no—
876D73—42no—
877D73—42no—
878D73—81no—
879D73—81no—
880D73—81no—
881#3514—731no—
882#3513—731no—
883#3403—731no—
884#3384—731no—
885#3373—731no—
886#3370—731no—
887#3354—731no—
888#3350D7311yescharacteristic, complemented
889#3348—731no—
890#3325—731no—
891#3323—731no—
892#3319—731no—
893#3318—731no—
894#3311—731no—
895#3306—731no—
896#3273—731no—
897#3264—731no—
898#3264—731no—
899#3179—731no—
900#3173—731no—
901#3171—731no—
902#3125—731no—
903#3122—731no—
904#3118—731no—
905#3118—731no—
906#3111—731no—
907#3109—731no—
908#2967—731no—
909#2948—731no—
910#2946—731no—
911C4×AGL(1,ℤ/8)—731no—
912C73#6150511yescharacteristic, complemented, Sylow
913C2×AGL(1,ℤ/8)—731no—
914C2×AGL(1,ℤ/8)—731no—
915C22×D8—731no—
916#559—731no—
917#559—731no—
918#556C2×D7311yescharacteristic, complemented
919#555—731no—
920#555—731no—
921#554—731no—
922#553—1461no—
923#553C2×D7311yescharacteristic
924#552—731no—
925#551—1461no—
926#551—1461no—
927#551—1461no—
928#551—1461no—
929D4×Q8—731no—
930#548—1461no—
931#547—731no—
932#546—731no—
933#546—731no—
934#546—731no—
935#546—731no—
936#546—1461no—
937#546—1461no—
938D42—731no—
939D42—731no—
940#542—731no—
941#542—731no—
942#542—731no—
943#540—731no—
944#539—1461no—
945#538—1461no—
946#538—1461no—
947#538—1461no—
948#532—731no—
949#529—731no—
950#529—731no—
951#529—1461no—
952C2×#124—1461no—
953#525—1461no—
954C2×#123—1461no—
955#520—731no—
956#518—731no—
957#518—731no—
958#518—731no—
959C4×#41—731no—
960C2×C4×D4—731no—
961#501—731no—
962#501C2×D7311yescharacteristic, complemented
963#498—731no—
964#496—731no—
965#496—731no—
966#495—731no—
967#490—731no—
968#489—731no—
969#489—731no—
970#489—731no—
971#488—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485C2×D7311yescharacteristic, complemented
976#483C2×D7311yescharacteristic, complemented
977#482—731no—
978#482—731no—
979#482—731no—
980#482C2×D7311yescharacteristic, complemented
981#482C2×D7311yescharacteristic, complemented
982#481—731no—
983#481—731no—
984#481—731no—
985#479C2×D7311yescharacteristic, complemented
986#478—731no—
987#478—731no—
988#478—731no—
989#476—731no—
990#476—731no—
991#476—731no—
992#476—731no—
993#476C2×D7311yescharacteristic, complemented
994#475—731no—
995#474—731no—
996#474—731no—
997#470—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#469—731no—
1002#468—731no—
1003#468—731no—
1004#468C2×D7311yescharacteristic, complemented
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465C2×D7311yescharacteristic, complemented
1009#464—731no—
1010#464—731no—
1011#463—731no—
1012#463—731no—
1013#463—731no—
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#459—731no—
1021#452—731no—
1022#452—731no—
1023#450—731no—
1024#450—731no—
1025#449—731no—
1026#449—731no—
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#447—731no—
1033#446—731no—
1034#446—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#442—731no—
1042#442—731no—
1043#442—731no—
1044#442—731no—
1045#441—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050#440C2×D7311yescharacteristic, complemented
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435C2×D7311yescharacteristic, complemented
1069#433—731no—
1070#433—731no—
1071#432—731no—
1072#428—731no—
1073#428C2×D7311yescharacteristic, complemented
1074#427C2×D7311yescharacteristic, complemented
1075#418—731no—
1076#418—731no—
1077#418—731no—
1078#417—731no—
1079#416—731no—
1080C2×#102—731no—
1081#405—731no—
1082#405—731no—
1083C4×M16—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C2×#41—1461no—
1088C22×Q8—1461no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—731no—
1093C22×D4—1461no—
1094C22×D4—1461no—
1095C23×C4—1461no—
1096AGL(1,ℤ/8)—1464no—
1097AGL(1,ℤ/8)—1464no—
1098C2×Q16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16C22×D7311yescharacteristic
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×D8—1464no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C2×M16C22×D7311yescharacteristic
1119C22×C8—731no—
1120C22×C8C22×D7311yescharacteristic
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8C22×D7311yescharacteristic
1125#127—731no—
1126#127—731no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—731no—
1131#126—731no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#125—731no—
1138#125—731no—
1139#125—1461no—
1140#125C22×D7311yescharacteristic
1141#124—21no—
1142#124—731no—
1143#124—731no—
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124—1461no—
1157#123—21no—
1158#123—731no—
1159#123—731no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
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—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1191C22⋊Q8C22×D7311yescharacteristic
1192#121—21no—
1193#121—731no—
1194#121—731no—
1195#121—731no—
1196#121—731no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#120—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220#120—1461no—
1221C4×Q8—21no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8C22×D7311yescharacteristic
1227C4×D4—21no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263#117—731no—
1264#117—731no—
1265#117—731no—
1266#117—1461no—
1267#117—1461no—
1268#117—1461no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117C22×D7311yescharacteristic
1273#117C22×D7311yescharacteristic
1274#117C22×D7311yescharacteristic
1275C2×C4⋊C4—731no—
1276C2×C4⋊C4—1461no—
1277C2×C4⋊C4—1461no—
1278C2×C4⋊C4C22×D7311yescharacteristic
1279C2×C22⋊C4—1461no—
1280C2×C22⋊C4—1461no—
1281C2×C22⋊C4—1461no—
1282C2×C22⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C42—731no—
1291C2×C42—1461no—
1292#107—731no—
1293#107—731no—
1294#107C22×D7311yescharacteristic
1295#107C22×D7311yescharacteristic
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#106—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106C22×D7311yescharacteristic
1304#106C22×D7311yescharacteristic
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307#106C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8C22×D7311yescharacteristic
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#103C22×D7311yescharacteristic
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
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#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345#102C22×D7311yescharacteristic
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8C22×D7311yescharacteristic
1351C22⋊C8C22×D7311yescharacteristic
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357#97C22×D7311yescharacteristic
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—1461no—
1363C24—1461no—
1364C24—1461no—
1365C24—1461no—
1366#41—2921no—
1367#41—2921no—
1368#41—5842no—
1369#41—5842no—
1370#41—1462no—
1371#41—1462no—
1372C2×Q8—21no—
1373C2×Q8—5842no—
1374C2×Q8—731no—
1375C2×Q8—731no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8C23×D7311yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—2921no—
1383C2×D4—2921no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—5842no—
1387C2×D4—5842no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1462no—
1398C2×D4—1462no—
1399C2×D4—1462no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1462no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4D4×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—5842no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4C23×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443Q16—2921no—
1444SD16—22no—
1445SD16—2921no—
1446SD16—2921no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450D8—2921no—
1451D8—2921no—
1452D8—2921no—
1453D8—734no—
1454D8—1462no—
1455D8—1462no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459M16—22no—
1460M16—2921no—
1461M16—2921no—
1462M16—1462no—
1463C2×C8—22no—
1464C2×C8—2921no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4D4×D7311yescharacteristic
1503C4⋊C4C23×D7311yescharacteristic
1504C4⋊C4C23×D7311yescharacteristic
1505C4⋊C4C23×D7311yescharacteristic
1506C4⋊C4C23×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—731no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4D4×D7311yescharacteristic
1558C22⋊C4D4×D7311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42C23×D7311yescharacteristic
1573C23—21no—
1574C23—2922no—
1575C23—2922no—
1576C23—2922no—
1577C23—2922no—
1578C23—2922no—
1579C23—5841no—
1580C23—5841no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—5841no—
1586C23—731no—
1587C23—1461no—
1588C23—1461no—
1589C23—1461no—
1590C23—1461no—
1591C23—1461no—
1592C23C2×D4×D7311yescharacteristic
1593C23C2×D4×D7311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—42no—
1597Q8—2921no—
1598Q8—5841no—
1599Q8—5841no—
1600Q8—5841no—
1601Q8—1461no—
1602Q8—1461no—
1603D4—21no—
1604D4—21no—
1605D4—41no—
1606D4—81no—
1607D4—81no—
1608D4—2922no—
1609D4—2922no—
1610D4—2922no—
1611D4—2922no—
1612D4—2922no—
1613D4—2922no—
1614D4—2922no—
1615D4—2921no—
1616D4—2921no—
1617D4—2922no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—732no—
1627D4—732no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2921no—
1652C2×C4—2921no—
1653C2×C4—2922no—
1654C2×C4—2922no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—5841no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—731no—
1675C2×C4—731no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C24×D7311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C8#41×D7312yes—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—5844no—
1717C22—11682no—
1718C22—11682no—
1719C22—11682no—
1720C22—1462no—
1721C22—1462no—
1722C22—1461no—
1723C22—1461no—
1724C22—1461no—
1725C22C22×D4×D7311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4—1461no—
1746C4—1461no—
1747C4C2×#41×D7311yescharacteristic
1748C4#1798942411yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—81no—
1752C2—2922no—
1753C2—2922no—
1754C2—2921no—
1755C2—5841no—
1756C2—5841no—
1757C2—5841no—
1758C2#2262341811yescharacteristic
1759C2#2262470811yescharacteristic
1760C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3350C2
socleC22×C73C23×D4
hypercenter#3350D73
hypocenterC73#61505
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
1. #22623895C2semidirect
2. #22623878C2semidirect
3. #22623020C2semidirect
4. #22622827C2semidirect
5. #22622726C2semidirect
6. #22622687C2semidirect
7. #22622522C2semidirect
8. #22622442C2semidirect
9. #22622171C2semidirect
10. #22622145C2semidirect
11. #22622085C2semidirect
12. #22622066C2semidirect
13. #22621961C2semidirect
14. #22621890C2semidirect
15. #22621539C2semidirect
16. #22621416C2semidirect
17. #22621408C2semidirect
18. #22620607C2semidirect
19. #22620541C2semidirect
20. #22620528C2semidirect
21. #22620203C2semidirect
22. #22620170C2semidirect
23. #22620118C2semidirect
24. #22620110C2semidirect
25. #22620047C2semidirect
26. #22620024C2semidirect
27. #22618913C2semidirect
28. #22618782C2semidirect
29. #22618761C2semidirect
30. #22618736C2semidirect
31. C73×#3350C2semidirect
35. #17989322C22semidirect
36. #17989320C22semidirect
38. #17989300C22semidirect
39. #17989293C22semidirect
41. #17989276C22semidirect
46. #17989252C22semidirect
48. #17989238C22semidirect
50. #17989234C22semidirect
54. #17989228C22semidirect
55. D4×D292C22semidirect
56. #17989221C22semidirect
57. #17989210C22semidirect
58. #17989210C22semidirect
59. #17989204C22semidirect
60. #17989190C22semidirect
65. #17989138C22semidirect
67. #17989122C22semidirect
72. #17989068C22semidirect
73. #17989061C22semidirect
74. #17989061C22semidirect
75. #17989061C22semidirect
76. C4×#11924029C22semidirect
77. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988984C22semidirect
80. #17988976C22semidirect
81. #17988973C22semidirect
82. #17988968C22semidirect
83. #17988953C22semidirect
84. #17988949C22semidirect
85. #17988948C22semidirect
86. #17988945C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988931C22semidirect
90. #17988928C22semidirect
91. #17988914C22semidirect
92. #17988911C22semidirect
93. #17988911C22semidirect
94. #17988907C22semidirect
95. #17988907C22semidirect
96. #17988905C22semidirect
97. #17988890C22semidirect
98. #17988886C22semidirect
99. #17988884C22semidirect
100. #17988876C22semidirect
101. #17988876C22semidirect
102. #17988876C22semidirect
103. #17988874C22semidirect
104. #17988871C22semidirect
105. #17988866C22semidirect
106. #17988866C22semidirect
107. #17988843C22semidirect
108. #17988841C22semidirect
109. #17988841C22semidirect
110. #17988840C22semidirect
112. #17988834C22semidirect
113. #17988834C22semidirect
114. #17988821C22semidirect
115. #17988818C22semidirect
116. #17988816C22semidirect
117. #17988812C22semidirect
118. #17988809C22semidirect
119. #17988805C22semidirect
120. #17988805C22semidirect
121. #17988805C22semidirect
122. #17988803C22semidirect
123. #17988801C22semidirect
124. #17988801C22semidirect
126. #17988782C22semidirect
128. #17988781C22semidirect
129. #17988752C22semidirect
130. #17988747C22semidirect
131. #17988740C22semidirect
132. #17988737C22semidirect
136. #17988723C22semidirect
137. #17988722C22semidirect
138. #17988722C22semidirect
140. #17988720C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
145. #17988698C22semidirect
146. #17988698C22semidirect
147. #17988698C22semidirect
148. #17988698C22semidirect
149. #17988698C22semidirect
150. #17988697C22semidirect
151. #17988696C22semidirect
152. #17988696C22semidirect
153. #17988691C22semidirect
154. #17988690C22semidirect
155. #17988686C22semidirect
156. #17988686C22semidirect
157. #17988685C22semidirect
158. SD16×Dic73C22semidirect
159. #17988674C22semidirect
160. #17988674C22semidirect
161. #17988674C22semidirect
162. #17988672C22semidirect
165. #17988669C22semidirect
166. #17988669C22semidirect
167. #17988669C22semidirect
168. #17988669C22semidirect
169. #17988667C22semidirect
170. #17988663C22semidirect
171. #17988662C22semidirect
172. #17988659C22semidirect
173. #17988658C22semidirect
174. #17988655C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988643C22semidirect
178. #17988628C22semidirect
179. #17988591C22semidirect
180. #17988591C22semidirect
181. #17988590C22semidirect
182. #17988587C22semidirect
183. #17988581C22semidirect
184. C2×#14556511C22semidirect
185. #17988545C22semidirect
186. #17988542C22semidirect
187. #17988539C22semidirect
188. #556×C73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #482×C73C22semidirect
195. #479×C73C22semidirect
196. #476×C73C22semidirect
197. #468×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. #427×C73C22semidirect
563. D584#41semidirect
888. #3350D73semidirect
912. C73#61505semidirect
918. #556C2×D73semidirect
962. #501C2×D73semidirect
975. #485C2×D73semidirect
976. #483C2×D73semidirect
980. #482C2×D73semidirect
981. #482C2×D73semidirect
985. #479C2×D73semidirect
993. #476C2×D73semidirect
1004. #468C2×D73semidirect
1008. #465C2×D73semidirect
1050. #440C2×D73semidirect
1068. #435C2×D73semidirect
1073. #428C2×D73semidirect
1074. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238952
#226238782
#226230202
#226228272
#226227262
#226226872
#226225222
#226224422
#226221712
#226221452
#226220852
#226220662
#226219612
#226218902
#226215392
#226214162
#226214082
#226206072
#226205412
#226205282
#226202032
#226201702
#226201182
#226201102
#226200472
#226200242
#226189132
#226187822
#226187612
#226187362
C73×#33502
#6150573