Finite Group Databasebeta

← #33953852

Subgroups — #33953852

Order 18688.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623261C211yesmaximal, characteristic
2#22623132C211yesmaximal, characteristic, complemented
3#22619923C211yesmaximal, characteristic, complemented
4#22619921C211yesmaximal, characteristic, complemented
5#22619917C211yesmaximal, characteristic, complemented
6#22619915C211yesmaximal, characteristic, complemented
7#22619912C211yesmaximal, characteristic, complemented
8#22619910C211yesmaximal, characteristic, complemented
9#22619906C211yesmaximal, characteristic, complemented
10#22619904C211yesmaximal, characteristic, complemented
11#22619899C211yesmaximal, characteristic, complemented
12#22619897C211yesmaximal, characteristic, complemented
13#22619895C211yesmaximal, characteristic, complemented
14#22619893C211yesmaximal, characteristic, complemented
15#22619888C211yesmaximal, characteristic, complemented
16#22619886C211yesmaximal, characteristic, complemented
17#22619884C211yesmaximal, characteristic, complemented
18#22619882C211yesmaximal, characteristic, complemented
19#22619848C211yesmaximal, characteristic, complemented
20#22619848C211yesmaximal, characteristic, complemented
21#22619846C211yesmaximal, characteristic, complemented
22#22619844C211yesmaximal, characteristic, complemented
23#22619842C211yesmaximal, characteristic, complemented
24#22619842C211yesmaximal, characteristic, complemented
25#22619840C211yesmaximal, characteristic, complemented
26#22618519C211yesmaximal, characteristic, complemented
27#427×D73C211yesmaximal, characteristic, complemented
28#22618446C211yesmaximal, characteristic, complemented
29#416×D73C211yesmaximal, characteristic, complemented
30C2×#17988552C211yesmaximal, characteristic, complemented
31C73×#3091C211yesmaximal, characteristic, complemented
32C22×#11924028C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C22×#11924011C2211yescharacteristic
35C22×C8×D73C2211yescharacteristic
36#17989167C2211yescharacteristic
37#17989167C2211yescharacteristic
38#17989166C2211yescharacteristic
39#17989166C2211yescharacteristic
40#17989160C2211yescharacteristic
41#17989160C2211yescharacteristic
42#17989159—21no—
43#17989153C2211yescharacteristic
44#17989153C2211yescharacteristic
45#17989152—21no—
46#17989148—21no—
47#17989147—21no—
48#17989134—21no—
49#17989134—21no—
50#17989099C2211yescharacteristic
51#17989098C2211yescharacteristic
52#17989096—21no—
53#17989096—21no—
54#17989094C2211yescharacteristic
55#17989068C2211yescharacteristic
56#17989068C2211yescharacteristic
57#17989068C2211yescharacteristic, complemented
58#17989068C2211yescharacteristic, complemented
59#17989067C2211yescharacteristic
60#17989067C2211yescharacteristic
61#17989067C2211yescharacteristic, complemented
62#17989067C2211yescharacteristic, complemented
63#17989064—21no—
64#17989061—21no—
65#17989060—21no—
66#17989060—21no—
67C4×#11924028—21no—
68C4×#11924028—21no—
69#17989055—21no—
70#17989055—21no—
71C2×#14556550C2211yescharacteristic, complemented
72#117×D73C2211yescharacteristic
73#117×D73C2211yescharacteristic
74#117×D73C2211yescharacteristic
75#117×D73C2211yescharacteristic, complemented
76#117×D73C2211yescharacteristic, complemented
77#17988931C2211yescharacteristic, complemented
78#17988931C2211yescharacteristic, complemented
79#17988930C2211yescharacteristic, complemented
80#17988930C2211yescharacteristic, complemented
81#17988929C2211yescharacteristic, complemented
82#17988929C2211yescharacteristic, complemented
83#17988928C2211yescharacteristic, complemented
84#17988928C2211yescharacteristic, complemented
85#17988927C2211yescharacteristic, complemented
86#17988927C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988922C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988921C2211yescharacteristic, complemented
97#17988920C2211yescharacteristic, complemented
98#17988919C2211yescharacteristic, complemented
99#17988919C2211yescharacteristic, complemented
100#17988918C2211yescharacteristic, complemented
101#17988917C2211yescharacteristic, complemented
102#17988916C2211yescharacteristic, complemented
103#17988916C2211yescharacteristic, complemented
104#17988915C2211yescharacteristic, complemented
105#17988914C2211yescharacteristic, complemented
106#17988914C2211yescharacteristic, complemented
107#17988913C2211yescharacteristic, complemented
108#17988913C2211yescharacteristic, complemented
109#17988912C2211yescharacteristic, complemented
110#17988912C2211yescharacteristic, complemented
111#17988911C2211yescharacteristic, complemented
112#17988911C2211yescharacteristic, complemented
113#17988910C2211yescharacteristic, complemented
114#17988910C2211yescharacteristic, complemented
115#17988909C2211yescharacteristic, complemented
116#17988909C2211yescharacteristic, complemented
117#17988908C2211yescharacteristic, complemented
118#17988908C2211yescharacteristic, complemented
119#17988907C2211yescharacteristic, complemented
120#17988907C2211yescharacteristic, complemented
121#17988906C2211yescharacteristic, complemented
122#17988905C2211yescharacteristic, complemented
123#17988904C2211yescharacteristic, complemented
124#17988904C2211yescharacteristic, complemented
125#17988903C2211yescharacteristic, complemented
126#17988902C2211yescharacteristic, complemented
127#17988902C2211yescharacteristic, complemented
128#17988901C2211yescharacteristic, complemented
129#17988900C2211yescharacteristic, complemented
130#17988899C2211yescharacteristic, complemented
131#17988899C2211yescharacteristic, complemented
132#17988898C2211yescharacteristic, complemented
133#17988628C2211yescharacteristic, complemented
134#17988628C2211yescharacteristic, complemented
135#17988628C2211yescharacteristic, complemented
136#17988628C2211yescharacteristic, complemented
137#17988626C2211yescharacteristic, complemented
138#17988626C2211yescharacteristic, complemented
139#17988626C2211yescharacteristic, complemented
140#17988626C2211yescharacteristic, complemented
141#17988625C2211yescharacteristic, complemented
142#17988625C2211yescharacteristic, complemented
143#17988624C2211yescharacteristic, complemented
144#17988624C2211yescharacteristic, complemented
145#17988623C2211yescharacteristic, complemented
146#17988623C2211yescharacteristic, complemented
147#17988623C2211yescharacteristic, complemented
148#17988623C2211yescharacteristic, complemented
149#17988622C2211yescharacteristic, complemented
150#17988622C2211yescharacteristic, complemented
151#107×D73C2211yescharacteristic, complemented
152#107×D73C2211yescharacteristic, complemented
153#106×D73C2211yescharacteristic, complemented
154#106×D73C2211yescharacteristic, complemented
155#17988594C2211yescharacteristic, complemented
156#17988594C2211yescharacteristic, complemented
157#17988590C2211yescharacteristic, complemented
158#17988590C2211yescharacteristic, complemented
159#17988587C2211yescharacteristic, complemented
160#17988587C2211yescharacteristic, complemented
161#17988585C2211yescharacteristic, complemented
162#17988585C2211yescharacteristic, complemented
163#17988584C2211yescharacteristic
164#17988584C2211yescharacteristic
165#17988583C2211yescharacteristic
166#17988583C2211yescharacteristic
167#17988582C2211yescharacteristic, complemented
168#17988582C2211yescharacteristic, complemented
169#17988581C2211yescharacteristic
170#17988581C2211yescharacteristic
171#17988580C2211yescharacteristic, complemented
172#17988580C2211yescharacteristic, complemented
173#103×D73C2211yescharacteristic, complemented
174#103×D73C2211yescharacteristic, complemented
175#102×D73C2211yescharacteristic, complemented
176#102×D73C2211yescharacteristic, complemented
177#17988552C2211yescharacteristic
178#17988552C2211yescharacteristic
179#17988552C2211yescharacteristic
180#17988552C2211yescharacteristic
181#17988552C2211yescharacteristic, complemented
182#17988552C2211yescharacteristic, complemented
183#17988552C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185C2×C22⋊#10596831C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C2×#14556503C2211yescharacteristic, complemented
188#525×C73C2211yescharacteristic
189C2×#117×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#483×C73C2211yescharacteristic, complemented
194#482×C73C2211yescharacteristic, complemented
195#482×C73C2211yescharacteristic, complemented
196#481×C73C2211yescharacteristic, complemented
197#480×C73C2211yescharacteristic, complemented
198#427×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—24no—
206C2×#11924028—24no—
207C2×#11924028D411yescharacteristic
208C2×#11924028D411yescharacteristic
209C2×#11924028D411yescharacteristic
210C2×#11924028D411yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924027—21no—
217C2×#11924027C2311yescharacteristic
218#41×D73—24no—
219#41×D73—24no—
220C22×Dic146D411yescharacteristic
221C2×Q8×D73C2311yescharacteristic
222C22×D292D411yescharacteristic
223C22×C22⋊D73D411yescharacteristic
224C22×C22⋊D73D411yescharacteristic
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C22×C4×D73—21no—
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230C2×#11924011—24no—
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C22×#10596831C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237C2×C8×D73—24no—
238C2×C8×D73C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242#14556590—21no—
243#14556590—21no—
244#14556587—21no—
245#14556587—21no—
246#14556577—21no—
247#14556577—21no—
248#14556577—21no—
249#14556577—21no—
250#14556576—21no—
251#14556576—21no—
252#14556575—21no—
253#14556574—21no—
254#14556573—21no—
255#14556573—21no—
256#14556572—21no—
257#14556571C2311yescharacteristic
258#14556571C2311yescharacteristic
259#14556570C2311yescharacteristic
260#14556570C2311yescharacteristic
261#14556569—21no—
262#14556569—21no—
263#14556568—21no—
264#14556568—21no—
265#14556567C2311yescharacteristic
266#14556567C2311yescharacteristic
267#14556566—21no—
268#14556566—21no—
269#14556566C2311yescharacteristic
270#14556566C2311yescharacteristic
271#14556565C2311yescharacteristic
272#14556565C2311yescharacteristic
273#14556564—21no—
274#14556564—21no—
275#14556564—21no—
276#14556564—21no—
277#14556564—21no—
278#14556564—21no—
279#14556563—21no—
280#14556563—21no—
281#14556562—21no—
282#14556562—21no—
283#14556562C2311yescharacteristic
284#14556562C2311yescharacteristic
285#14556561—21no—
286#14556561—21no—
287#14556561—21no—
288#14556560—21no—
289#14556559—21no—
290#14556559—21no—
291#14556559—21no—
292C4×Dic146—21no—
293C4×Dic146—21no—
294C4×Dic146—21no—
295C4×Dic146—21no—
296#14556556—21no—
297#14556556—21no—
298#14556556—21no—
299#14556556—21no—
300C4×D292—21no—
301C4×D292—21no—
302C4×D292—21no—
303C4×D292—21no—
304C4×D292—21no—
305C4×D292—21no—
306#14556553—21no—
307#14556553—21no—
308#14556553—21no—
309#14556553—21no—
310C4×C22⋊D73—21no—
311C4×C22⋊D73—21no—
312C4×C22⋊D73—21no—
313C4×C22⋊D73—21no—
314C4×C22⋊D73—21no—
315C4×C22⋊D73—21no—
316C4×C22⋊D73—21no—
317C4×C22⋊D73—21no—
318C4×C22⋊D73—21no—
319C4×C22⋊D73—21no—
320C4×C22⋊D73—21no—
321C4×C22⋊D73—21no—
322#14556551—21no—
323#14556551—21no—
324#14556551—21no—
325#14556551—21no—
326#14556551—21no—
327#14556551—21no—
328#14556551—21no—
329#14556551—21no—
330#14556550—21no—
331#14556550—21no—
332#14556550C2311yescharacteristic
333#14556550C2311yescharacteristic
334#14556550C2311yescharacteristic
335#14556550C2311yescharacteristic
336#14556550C2311yescharacteristic
337#14556549C2311yescharacteristic
338#14556549C2311yescharacteristic
339#14556549C2311yescharacteristic
340#14556549C2311yescharacteristic
341#14556549C2311yescharacteristic
342#14556549C2311yescharacteristic
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556548—21no—
348#14556548—21no—
349#14556548—21no—
350#14556548—21no—
351#14556548—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547—21no—
355#14556547—21no—
356#14556547—21no—
357C2×C4⋊Dic73C2311yescharacteristic
358C2×C4⋊Dic73C2311yescharacteristic
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C2×C22⋊Dic73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C2×C4×Dic73—21no—
376C42×D73—21no—
377C42×D73—21no—
378C42×D73—21no—
379C42×D73—21no—
380C42×D73—21no—
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556523C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556522C2311yescharacteristic
404#14556522C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C23×C4×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73C2311yescharacteristic
447C22⋊Q8×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450#120×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453#117×C73—21no—
454#117×C73—21no—
455#117×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457#117×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C22⋊C4×C73—21no—
463C2×C42×C73—21no—
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73C2×D411yescharacteristic
486C23×D73C2×D411yescharacteristic
487#11924029—22no—
488#11924029—22no—
489#11924028—24no—
490#11924028—24no—
491#11924028—24no—
492#11924028—24no—
493#11924028—22no—
494#11924028—22no—
495#11924028—22no—
496#11924028—22no—
497#11924028—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—22no—
501#11924028—22no—
502#11924028—22no—
503#11924028—44no—
504#11924027—22no—
505#11924027—22no—
506#11924027—44no—
507C2×Dic146—24no—
508C2×Dic146—21no—
509C2×Dic146C2×D411yescharacteristic
510C2×Dic146C2×D411yescharacteristic
511C2×Dic146C2×D411yescharacteristic
512C2×Dic146C2×D411yescharacteristic
513C2×Dic146C2411yescharacteristic
514Q8×D73—22no—
515Q8×D73—22no—
516C2×D292—24no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292C2×D411yescharacteristic
521C2×D292C2×D411yescharacteristic
522C2×D292C2×D411yescharacteristic
523C2×D292C2×D411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×C22⋊D73—24no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—24no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73C2×D411yescharacteristic
535C2×C22⋊D73C2×D411yescharacteristic
536C2×C22⋊D73C2×D411yescharacteristic
537C2×C22⋊D73C2×D411yescharacteristic
538C2×C22⋊D73C2×D411yescharacteristic
539C2×C22⋊D73C2×D411yescharacteristic
540C2×C22⋊D73C2×D411yescharacteristic
541C2×C22⋊D73C2×D411yescharacteristic
542D4×D73—22no—
543D4×D73—22no—
544D4×D73—44no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73C2×D411yescharacteristic
549C22×Dic73C2×D411yescharacteristic
550C2×C4×D73—22no—
551C2×C4×D73—22no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—44no—
566C2×C4×D73C2×D411yescharacteristic
567C2×C4×D73C2×D411yescharacteristic
568C2×C4×D73C2×D411yescharacteristic
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73#4114yes—
571C2×C4×D73#4114yes—
572C2×C4×D73C2411yescharacteristic
573C2×C4×D73C2411yescharacteristic
574C2×C4×D73C2411yescharacteristic
575C2×C4×D73C2411yescharacteristic
576#11924011—22no—
577#11924011—22no—
578#11924011—22no—
579#11924011—22no—
580C2×#10596831—22no—
581C2×#10596831—22no—
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C8×D73—22no—
587C8×D73—22no—
588C8×D73—22no—
589C8×D73—22no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596C4⋊Dic73C2411yescharacteristic
597C4⋊Dic73C2411yescharacteristic
598C4⋊Dic73C2411yescharacteristic
599C4⋊Dic73C2411yescharacteristic
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—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#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73—21no—
654C4×Dic73—21no—
655C4×Dic73—21no—
656C24×C73C2×D411yescharacteristic
657#41×C73—22no—
658#41×C73—22no—
659C2×Q8×C73C2411yescharacteristic
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C22×C4×C73—22no—
665C22×C4×C73—22no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2×D411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675C2×C8×C73—22no—
676C2×C8×C73—22no—
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73—21no—
703C42×C73—21no—
704C42×C73—21no—
705C23×C73—22no—
706C23×C73—21no—
707C23×C73—41no—
708C23×C73—41no—
709C23×C73C22×D411yescharacteristic
710C23×C73C22×D411yescharacteristic
711C23×C73C22×D411yescharacteristic
712C22×D73—22no—
713C22×D73—21no—
714C22×D73—41no—
715C22×D73—41no—
716C22×D73—41no—
717C22×D73—41no—
718C22×D73—42no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73#12314yes—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724C22×D73C22×D411yescharacteristic
725C22×D73C22×D411yescharacteristic
726Q8×C73—21no—
727Q8×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—42no—
731D4×C73—81no—
732D4×C73—81no—
733C2×C4×C73—22no—
734C2×C4×C73—22no—
735C2×C4×C73—22no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—42no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C2×#4112yes—
754C2×C4×C73C2×#4112yes—
755C2×C4×C73C2511yescharacteristic
756C22⋊D73—22no—
757C22⋊D73—22no—
758C22⋊D73—22no—
759C22⋊D73—22no—
760C22⋊D73—22no—
761C22⋊D73—22no—
762C22⋊D73—22no—
763C22⋊D73—22no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C2×Dic73—22no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—42no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73#12314yes—
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787D292—22no—
788D292—22no—
789D292—22no—
790D292—22no—
791D292—21no—
792D292—21no—
793D292—42no—
794D292—81no—
795D292—81no—
796C4×D73—22no—
797C4×D73—22no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815C4×D73#12314yes—
816C4×D73#12314yes—
817C4×D73C2×#4112yes—
818C4×D73C2×#4112yes—
819C4×D73C2×#4112yes—
820C4×D73C2×#4112yes—
821Dic146—22no—
822Dic146—22no—
823Dic146—22no—
824Dic146—22no—
825Dic146—21no—
826Dic146—21no—
827Dic146—42no—
828C8×C73—21no—
829C8×C73—21no—
830C8×C73—21no—
831C8×C73—21no—
832#10596831—21no—
833#10596831—21no—
834#10596831—21no—
835#10596831—21no—
836C22×C73—21no—
837C22×C73—21no—
838C22×C73—21no—
839C22×C73—21no—
840C22×C73—21no—
841C22×C73—21no—
842C22×C73—21no—
843C22×C73—21no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—82no—
848C22×C73C2×#12312yes—
849C22×C73C23×D411yescharacteristic
850C2×D73—21no—
851C2×D73—21no—
852C2×D73—21no—
853C2×D73—21no—
854C2×D73—21no—
855C2×D73—21no—
856C2×D73—21no—
857C2×D73—21no—
858C2×D73—21no—
859C2×D73—21no—
860C2×D73—44no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—41no—
864C2×D73—84no—
865C2×D73—82no—
866C2×D73C2×#12312yes—
867C2×D73C2×#12312yes—
868C4×C73—21no—
869C4×C73—21no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73—41no—
876C4×C73—41no—
877C4×C73C2×#12312yes—
878C4×C73C22×#4111yescharacteristic
879C4×C73C22×#4111yescharacteristic
880Dic73—21no—
881Dic73—21no—
882Dic73—41no—
883Dic73—41no—
884Dic73—41no—
885Dic73—41no—
886Dic73—41no—
887Dic73—41no—
888Dic73—41no—
889Dic73C2×#12312yes—
890Dic73C2×#12312yes—
891#60516—731nomaximal, Sylow
892C2×C73—22no—
893C2×C73—41no—
894C2×C73—41no—
895C2×C73—81no—
896C2×C73C22×#12311yescharacteristic
897C2×C73#358411yescharacteristic
898C2×C73#358411yescharacteristic
899D73—22no—
900D73—22no—
901D73—41no—
902D73—41no—
903D73—81no—
904#3449—731no—
905#3428—731no—
906#3099—731no—
907#3099—731no—
908#3099—731no—
909#3099—731no—
910#3098—731no—
911#3098—731no—
912#3098—731no—
913#3098—731no—
914#3097—731no—
915#3097—731no—
916#3097—731no—
917#3097—731no—
918#3096—731no—
919#3096—731no—
920#3096—731no—
921#3096—731no—
922#3091—731no—
923#3091—731no—
924#3091—731no—
925#3091—731no—
926#3091—731no—
927#3091—731no—
928#3091—731no—
929#3091D7311yescharacteristic, complemented
930#2911—731no—
931C2×#427—731no—
932#2896—731no—
933C2×#416—731no—
934C2×#408—731no—
935C73#6051611yescharacteristic, complemented, Sylow
936C22×#41—731no—
937C22×#41—731no—
938C22×M16—731no—
939C23×C8—731no—
940#537—731no—
941#537—731no—
942#537—731no—
943#537—731no—
944#536—731no—
945#536—731no—
946#536—1461no—
947#535—731no—
948#535—731no—
949#535—1461no—
950#534—1461no—
951#534—1461no—
952#532—1461no—
953#532—1461no—
954#525—731no—
955#525—731no—
956#525—731no—
957#525—1461no—
958#525—1461no—
959#525C2×D7311yescharacteristic
960#520—731no—
961#520—731no—
962#520—731no—
963#520—731no—
964#520—731no—
965#520—731no—
966#520—731no—
967#520—731no—
968#519—1461no—
969#518—1461no—
970#518—1461no—
971#518—1461no—
972C4×#41—1461no—
973C4×#41—1461no—
974C4×#41—1461no—
975C4×#41—1461no—
976C2×#117—731no—
977C2×#117—731no—
978C2×#117—731no—
979C2×#117—731no—
980C2×#117—731no—
981C2×#117—731no—
982C2×#117C2×D7311yescharacteristic, complemented
983#485—731no—
984#485—731no—
985#485—731no—
986#485—731no—
987#485—731no—
988#485—731no—
989#485—731no—
990#485—731no—
991#485—731no—
992#485—731no—
993#485—731no—
994#485—731no—
995#485—731no—
996#485—731no—
997#485C2×D7311yescharacteristic, complemented
998#485C2×D7311yescharacteristic, complemented
999#484—731no—
1000#484—731no—
1001#484—731no—
1002#484—731no—
1003#484—731no—
1004#484—731no—
1005#484—731no—
1006#484C2×D7311yescharacteristic, complemented
1007#483—731no—
1008#483—731no—
1009#483—731no—
1010#483—731no—
1011#483—731no—
1012#483—731no—
1013#483—731no—
1014#483C2×D7311yescharacteristic, complemented
1015#482—731no—
1016#482—731no—
1017#482—731no—
1018#482—731no—
1019#482—731no—
1020#482—731no—
1021#482—731no—
1022#482—731no—
1023#482—731no—
1024#482—731no—
1025#482—731no—
1026#482—731no—
1027#482—731no—
1028#482—731no—
1029#482C2×D7311yescharacteristic, complemented
1030#482C2×D7311yescharacteristic, complemented
1031#481—731no—
1032#481—731no—
1033#481—731no—
1034#481—731no—
1035#481—731no—
1036#481—731no—
1037#481—731no—
1038#481C2×D7311yescharacteristic, complemented
1039#480—731no—
1040#480—731no—
1041#480—731no—
1042#480—731no—
1043#480—731no—
1044#480—731no—
1045#480—731no—
1046#480C2×D7311yescharacteristic, complemented
1047#428—731no—
1048#428—731no—
1049#428—731no—
1050#428—731no—
1051#428—731no—
1052#428—731no—
1053#428—731no—
1054#428—731no—
1055#427—731no—
1056#427—731no—
1057#427—731no—
1058#427—731no—
1059#427—731no—
1060#427—731no—
1061#427—731no—
1062#427—731no—
1063#427—731no—
1064#427—731no—
1065#427C2×D7311yescharacteristic, complemented
1066#427C2×D7311yescharacteristic, complemented
1067C2×#107—731no—
1068C2×#107—731no—
1069C2×#106—731no—
1070C2×#106—731no—
1071#419—731no—
1072#419—731no—
1073#418—731no—
1074#418—731no—
1075#417—731no—
1076#417—731no—
1077#417—731no—
1078#417—731no—
1079#416—731no—
1080#416—731no—
1081#416—731no—
1082#416—731no—
1083#416—731no—
1084#416—731no—
1085#416—731no—
1086#416—731no—
1087#416—731no—
1088#416—731no—
1089#416C2×D7311yescharacteristic
1090#416C2×D7311yescharacteristic
1091C2×#103—731no—
1092C2×#103—731no—
1093C2×#102—731no—
1094C2×#102—731no—
1095#408—731no—
1096#408—731no—
1097#408—731no—
1098#408—731no—
1099#408—731no—
1100#408—731no—
1101#408—731no—
1102#408—731no—
1103C2×C22⋊C8—731no—
1104C2×C22⋊C8—731no—
1105C2×C22⋊C8—731no—
1106C2×C22⋊C8C2×D7311yescharacteristic, complemented
1107C2×#41—731no—
1108C2×#41—731no—
1109C2×#41—731no—
1110C2×#41—731no—
1111C2×#41—731no—
1112C2×#41—731no—
1113C2×#41—731no—
1114C2×#41—731no—
1115C2×#41—731no—
1116C2×#41—731no—
1117C2×#41—731no—
1118C2×#41—1461no—
1119C2×#41—1464no—
1120C2×#41—1464no—
1121C2×#41—1464no—
1122C2×#41—1464no—
1123C2×#41—1461no—
1124C2×#41C22×D7311yescharacteristic
1125C22×Q8—731no—
1126C22×Q8—731no—
1127C22×D4—731no—
1128C22×D4—731no—
1129C22×D4—731no—
1130C22×D4—731no—
1131C22×D4—1461no—
1132C23×C4—731no—
1133C23×C4—731no—
1134C23×C4—1461no—
1135C23×C4C22×D7311yescharacteristic
1136C2×M16—731no—
1137C2×M16—731no—
1138C2×M16—731no—
1139C2×M16—731no—
1140C2×M16—1464no—
1141C22×C8—731no—
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C22×C8—731no—
1147C22×C8—1464no—
1148C22×C8C22×D7311yescharacteristic
1149C22×C8C22×D7311yescharacteristic
1150C4⋊Q8—1461no—
1151C4⋊Q8—1461no—
1152#127—1461no—
1153#127—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124—1461no—
1157#124—1461no—
1158#123—21no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166C22⋊Q8—731no—
1167C22⋊Q8—731no—
1168C22⋊Q8—731no—
1169C22⋊Q8—731no—
1170C22⋊Q8—731no—
1171C22⋊Q8—731no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8C22×D7311yescharacteristic
1177C22⋊Q8C22×D7311yescharacteristic
1178#121—731no—
1179#121—731no—
1180#121—731no—
1181#121—731no—
1182#121—731no—
1183#121—731no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121C22×D7311yescharacteristic
1197#121C22×D7311yescharacteristic
1198#120—21no—
1199#120—1461no—
1200#120—1461no—
1201#120—1461no—
1202#120—1461no—
1203#120—1461no—
1204#120—1461no—
1205#120—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×Q8—1461no—
1210C4×Q8—1461no—
1211C4×Q8—1461no—
1212C4×Q8—1461no—
1213C4×Q8—1461no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—1461no—
1217C4×D4—1461no—
1218C4×D4—1461no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246#117—21no—
1247#117—21no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—731no—
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—731no—
1259#117—731no—
1260#117—731no—
1261#117—731no—
1262#117—731no—
1263#117—1461no—
1264#117—1461no—
1265#117—1461no—
1266#117—1461no—
1267#117—1461no—
1268#117—1461no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117C22×D7311yescharacteristic
1276#117C22×D7311yescharacteristic
1277#117C22×D7311yescharacteristic
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—731no—
1283C2×C4⋊C4—731no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—731no—
1287C2×C4⋊C4—731no—
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—731no—
1292C2×C4⋊C4C22×D7311yescharacteristic
1293C2×C4⋊C4C22×D7311yescharacteristic
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C42—21no—
1302C2×C42—1461no—
1303C2×C42—1461no—
1304C2×C42—1461no—
1305C2×C42—1461no—
1306C2×C42—1461no—
1307C2×C42—1461no—
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107—731no—
1313#107—731no—
1314#107—731no—
1315#107—731no—
1316#107—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107C22×D7311yescharacteristic
1321#107C22×D7311yescharacteristic
1322#107C22×D7311yescharacteristic
1323#107C22×D7311yescharacteristic
1324#106—731no—
1325#106—731no—
1326#106—731no—
1327#106—731no—
1328#106—731no—
1329#106—731no—
1330#106—731no—
1331#106—731no—
1332#106—731no—
1333#106—731no—
1334#106—731no—
1335#106—731no—
1336#106C22×D7311yescharacteristic
1337#106C22×D7311yescharacteristic
1338#106C22×D7311yescharacteristic
1339#106C22×D7311yescharacteristic
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103C22×D7311yescharacteristic
1353#103C22×D7311yescharacteristic
1354#103C22×D7311yescharacteristic
1355#103C22×D7311yescharacteristic
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102C22×D7311yescharacteristic
1369#102C22×D7311yescharacteristic
1370#102C22×D7311yescharacteristic
1371#102C22×D7311yescharacteristic
1372C22⋊C8—731no—
1373C22⋊C8—731no—
1374C22⋊C8—731no—
1375C22⋊C8—731no—
1376C22⋊C8—731no—
1377C22⋊C8—731no—
1378C22⋊C8—731no—
1379C22⋊C8—731no—
1380C22⋊C8—731no—
1381C22⋊C8—731no—
1382C22⋊C8—731no—
1383C22⋊C8—731no—
1384C22⋊C8C22×D7311yescharacteristic
1385C22⋊C8C22×D7311yescharacteristic
1386C22⋊C8C22×D7311yescharacteristic
1387C22⋊C8C22×D7311yescharacteristic
1388C24—731no—
1389C24—731no—
1390C24—1461no—
1391C24D4×D7311yescharacteristic
1392#41—22no—
1393#41—22no—
1394#41—2924no—
1395#41—2924no—
1396#41—1462no—
1397#41—1462no—
1398#41—1462no—
1399#41—1462no—
1400#41—1462no—
1401#41—1462no—
1402#41—1462no—
1403#41—1462no—
1404#41—1464no—
1405#41—1464no—
1406#41—1464no—
1407#41—1464no—
1408#41—1462no—
1409#41—1462no—
1410#41—1462no—
1411#41—1462no—
1412#41—1462no—
1413#41—1462no—
1414C2×Q8—731no—
1415C2×Q8—731no—
1416C2×Q8—731no—
1417C2×Q8—731no—
1418C2×Q8—731no—
1419C2×Q8—1461no—
1420C2×Q8—1464no—
1421C2×Q8—1462no—
1422C2×Q8—1462no—
1423C2×Q8C23×D7311yescharacteristic
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—2924no—
1428C2×D4—731no—
1429C2×D4—731no—
1430C2×D4—731no—
1431C2×D4—731no—
1432C2×D4—731no—
1433C2×D4—731no—
1434C2×D4—731no—
1435C2×D4—731no—
1436C2×D4—731no—
1437C2×D4—731no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—731no—
1441C2×D4—1461no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4—1464no—
1445C2×D4—1462no—
1446C2×D4—1462no—
1447C2×D4—1461no—
1448C2×D4—1464no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1464no—
1456C2×D4C23×D7311yescharacteristic
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—2924no—
1463C22×C4—731no—
1464C22×C4—731no—
1465C22×C4—731no—
1466C22×C4—734no—
1467C22×C4—734no—
1468C22×C4—731no—
1469C22×C4—731no—
1470C22×C4—731no—
1471C22×C4—731no—
1472C22×C4—731no—
1473C22×C4—731no—
1474C22×C4—731no—
1475C22×C4—1461no—
1476C22×C4—1461no—
1477C22×C4—1461no—
1478C22×C4—1461no—
1479C22×C4—1461no—
1480C22×C4—1461no—
1481C22×C4—1461no—
1482C22×C4—1461no—
1483C22×C4—1461no—
1484C22×C4—1461no—
1485C22×C4—1461no—
1486C22×C4—1461no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1462no—
1492C22×C4—1462no—
1493C22×C4D4×D7311yescharacteristic
1494C22×C4D4×D7311yescharacteristic
1495C22×C4D4×D7311yescharacteristic
1496C22×C4C23×D7311yescharacteristic
1497C22×C4C23×D7311yescharacteristic
1498C22×C4C23×D7311yescharacteristic
1499M16—1462no—
1500M16—1462no—
1501M16—1462no—
1502M16—1462no—
1503C2×C8—22no—
1504C2×C8—22no—
1505C2×C8—731no—
1506C2×C8—731no—
1507C2×C8—731no—
1508C2×C8—731no—
1509C2×C8—1462no—
1510C2×C8—1462no—
1511C2×C8—1462no—
1512C2×C8—1462no—
1513C2×C8—1462no—
1514C2×C8—1462no—
1515C2×C8C23×D7311yescharacteristic
1516C2×C8C23×D7311yescharacteristic
1517C2×C8C23×D7311yescharacteristic
1518C2×C8C23×D7311yescharacteristic
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—731no—
1524C4⋊C4—731no—
1525C4⋊C4—731no—
1526C4⋊C4—731no—
1527C4⋊C4—731no—
1528C4⋊C4—731no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4—1461no—
1542C4⋊C4—1461no—
1543C4⋊C4—1461no—
1544C4⋊C4—1461no—
1545C4⋊C4—1461no—
1546C4⋊C4—1461no—
1547C4⋊C4C23×D7311yescharacteristic
1548C4⋊C4C23×D7311yescharacteristic
1549C4⋊C4C23×D7311yescharacteristic
1550C4⋊C4C23×D7311yescharacteristic
1551C4⋊C4C23×D7311yescharacteristic
1552C4⋊C4C23×D7311yescharacteristic
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42—1461no—
1602C42—1461no—
1603C42—1461no—
1604C42—1461no—
1605C42—1461no—
1606C42—1461no—
1607C42—1461no—
1608C42—1461no—
1609C23—22no—
1610C23—21no—
1611C23—41no—
1612C23—41no—
1613C23—2921no—
1614C23—2921no—
1615C23—2921no—
1616C23—2921no—
1617C23—2922no—
1618C23—5841no—
1619C23—5841no—
1620C23—734no—
1621C23—731no—
1622C23—731no—
1623C23—731no—
1624C23—731no—
1625C23—1461no—
1626C23—1462no—
1627C23C2×D4×D7311yescharacteristic
1628C23C2×D4×D7311yescharacteristic
1629C23C2×D4×D7311yescharacteristic
1630Q8—21no—
1631Q8—21no—
1632Q8—2922no—
1633Q8—1462no—
1634Q8—1462no—
1635Q8—1462no—
1636Q8—1462no—
1637Q8—1461no—
1638Q8—1461no—
1639D4—21no—
1640D4—21no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—2922no—
1645D4—2922no—
1646D4—2922no—
1647D4—2922no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—1462no—
1655D4—1462no—
1656D4—1462no—
1657D4—1462no—
1658D4—1462no—
1659D4—1462no—
1660D4—1462no—
1661D4—1462no—
1662D4—1462no—
1663D4—1462no—
1664D4—1462no—
1665D4—1462no—
1666D4—1461no—
1667D4—1461no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—42no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—2922no—
1686C2×C4—2922no—
1687C2×C4—2922no—
1688C2×C4—2922no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—5841no—
1697C2×C4—5841no—
1698C2×C4—5841no—
1699C2×C4—5841no—
1700C2×C4—5841no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—734no—
1704C2×C4—732no—
1705C2×C4—732no—
1706C2×C4—732no—
1707C2×C4—732no—
1708C2×C4—734no—
1709C2×C4—734no—
1710C2×C4—731no—
1711C2×C4—731no—
1712C2×C4—1461no—
1713C2×C4—1461no—
1714C2×C4—1461no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4—1461no—
1719C2×C4—1462no—
1720C2×C4—1461no—
1721C2×C4—1461no—
1722C2×C4—1461no—
1723C2×C4—1461no—
1724C2×C4—1462no—
1725C2×C4—1462no—
1726C2×C4C2×D4×D7311yescharacteristic
1727C2×C4C2×D4×D7311yescharacteristic
1728C2×C4C2×D4×D7311yescharacteristic
1729C2×C4#41×D7312yes—
1730C2×C4#41×D7312yes—
1731C2×C4C24×D7311yescharacteristic
1732C8—21no—
1733C8—21no—
1734C8—21no—
1735C8—21no—
1736C8—1461no—
1737C8—1461no—
1738C8—1461no—
1739C8—1461no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—82no—
1752C22—2924no—
1753C22—2921no—
1754C22—2921no—
1755C22—2921no—
1756C22—5842no—
1757C22—5844no—
1758C22—732no—
1759C22—732no—
1760C22—1461no—
1761C22—1461no—
1762C22—1461no—
1763C22—1461no—
1764C22—1461no—
1765C22—1461no—
1766C22—1461no—
1767C22—1461no—
1768C22—1461no—
1769C22—1461no—
1770C22#123×D7312yes—
1771C22C22×D4×D7311yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—2921no—
1782C4—2921no—
1783C4—2921no—
1784C4—2921no—
1785C4—2921no—
1786C4—2921no—
1787C4—2921no—
1788C4—732no—
1789C4—732no—
1790C4—1461no—
1791C4—1461no—
1792C4#123×D7312yes—
1793C4C2×#41×D7311yescharacteristic
1794C4C2×#41×D7311yescharacteristic
1795C2—22no—
1796C2—41no—
1797C2—41no—
1798C2—81no—
1799C2—2921no—
1800C2—2921no—
1801C2—5841no—
1802C2—1462no—
1803C2—1462no—
1804C2C2×#123×D7311yescharacteristic
1805C2#2262470011yescharacteristic
1806C2#2262470411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3091C2
socleC22×C73C23×D4
prime radical#22623261C2
hypercenter#3091D73
hypocenterC73#60516
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
2. #22623132C2semidirect
3. #22619923C2semidirect
4. #22619921C2semidirect
5. #22619917C2semidirect
6. #22619915C2semidirect
7. #22619912C2semidirect
8. #22619910C2semidirect
9. #22619906C2semidirect
10. #22619904C2semidirect
11. #22619899C2semidirect
12. #22619897C2semidirect
13. #22619895C2semidirect
14. #22619893C2semidirect
15. #22619888C2semidirect
16. #22619886C2semidirect
17. #22619884C2semidirect
18. #22619882C2semidirect
19. #22619848C2semidirect
20. #22619848C2semidirect
21. #22619846C2semidirect
22. #22619844C2semidirect
23. #22619842C2semidirect
24. #22619842C2semidirect
25. #22619840C2semidirect
26. #22618519C2semidirect
27. #427×D73C2semidirect
28. #22618446C2semidirect
29. #416×D73C2semidirect
30. C2×#17988552C2semidirect
31. C73×#3091C2semidirect
57. #17989068C22semidirect
58. #17989068C22semidirect
61. #17989067C22semidirect
62. #17989067C22semidirect
71. C2×#14556550C22semidirect
75. #117×D73C22semidirect
76. #117×D73C22semidirect
77. #17988931C22semidirect
78. #17988931C22semidirect
79. #17988930C22semidirect
80. #17988930C22semidirect
81. #17988929C22semidirect
82. #17988929C22semidirect
83. #17988928C22semidirect
84. #17988928C22semidirect
85. #17988927C22semidirect
86. #17988927C22semidirect
87. #17988926C22semidirect
88. #17988926C22semidirect
89. #17988925C22semidirect
90. #17988925C22semidirect
91. #17988924C22semidirect
92. #17988924C22semidirect
93. #17988923C22semidirect
94. #17988922C22semidirect
95. #17988921C22semidirect
96. #17988921C22semidirect
97. #17988920C22semidirect
98. #17988919C22semidirect
99. #17988919C22semidirect
100. #17988918C22semidirect
101. #17988917C22semidirect
102. #17988916C22semidirect
103. #17988916C22semidirect
104. #17988915C22semidirect
105. #17988914C22semidirect
106. #17988914C22semidirect
107. #17988913C22semidirect
108. #17988913C22semidirect
109. #17988912C22semidirect
110. #17988912C22semidirect
111. #17988911C22semidirect
112. #17988911C22semidirect
113. #17988910C22semidirect
114. #17988910C22semidirect
115. #17988909C22semidirect
116. #17988909C22semidirect
117. #17988908C22semidirect
118. #17988908C22semidirect
119. #17988907C22semidirect
120. #17988907C22semidirect
121. #17988906C22semidirect
122. #17988905C22semidirect
123. #17988904C22semidirect
124. #17988904C22semidirect
125. #17988903C22semidirect
126. #17988902C22semidirect
127. #17988902C22semidirect
128. #17988901C22semidirect
129. #17988900C22semidirect
130. #17988899C22semidirect
131. #17988899C22semidirect
132. #17988898C22semidirect
133. #17988628C22semidirect
134. #17988628C22semidirect
135. #17988628C22semidirect
136. #17988628C22semidirect
137. #17988626C22semidirect
138. #17988626C22semidirect
139. #17988626C22semidirect
140. #17988626C22semidirect
141. #17988625C22semidirect
142. #17988625C22semidirect
143. #17988624C22semidirect
144. #17988624C22semidirect
145. #17988623C22semidirect
146. #17988623C22semidirect
147. #17988623C22semidirect
148. #17988623C22semidirect
149. #17988622C22semidirect
150. #17988622C22semidirect
151. #107×D73C22semidirect
152. #107×D73C22semidirect
153. #106×D73C22semidirect
154. #106×D73C22semidirect
155. #17988594C22semidirect
156. #17988594C22semidirect
157. #17988590C22semidirect
158. #17988590C22semidirect
159. #17988587C22semidirect
160. #17988587C22semidirect
161. #17988585C22semidirect
162. #17988585C22semidirect
167. #17988582C22semidirect
168. #17988582C22semidirect
171. #17988580C22semidirect
172. #17988580C22semidirect
173. #103×D73C22semidirect
174. #103×D73C22semidirect
175. #102×D73C22semidirect
176. #102×D73C22semidirect
181. #17988552C22semidirect
182. #17988552C22semidirect
183. #17988552C22semidirect
184. #17988552C22semidirect
185. C2×C22⋊#10596831C22semidirect
186. C2×#14556503C22semidirect
187. C2×#14556503C22semidirect
189. C2×#117×C73C22semidirect
190. #485×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #483×C73C22semidirect
194. #482×C73C22semidirect
195. #482×C73C22semidirect
196. #481×C73C22semidirect
197. #480×C73C22semidirect
198. #427×C73C22semidirect
199. #427×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
929. #3091D73semidirect
935. C73#60516semidirect
982. C2×#117C2×D73semidirect
997. #485C2×D73semidirect
998. #485C2×D73semidirect
1006. #484C2×D73semidirect
1014. #483C2×D73semidirect
1029. #482C2×D73semidirect
1030. #482C2×D73semidirect
1038. #481C2×D73semidirect
1046. #480C2×D73semidirect
1065. #427C2×D73semidirect
1066. #427C2×D73semidirect
1106. C2×C22⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226232612
#226231322
#226199232
#226199212
#226199172
#226199152
#226199122
#226199102
#226199062
#226199042
#226198992
#226198972
#226198952
#226198932
#226198882
#226198862
#226198842
#226198822
#226198482
#226198462
#226198442
#226198422
#226198402
#226185192
#427×D732
#226184462
#416×D732
C2×#179885522
C73×#30912
#6051673