Finite Group Databasebeta

← #33953584

Subgroups — #33953584

Order 18688.

2002 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623334C211yesmaximal, characteristic, complemented
2#22623130C211yesmaximal, characteristic
3#22619796C211yesmaximal, characteristic, complemented
4#22619794C211yesmaximal, characteristic, complemented
5#22619790C211yesmaximal, characteristic, complemented
6#22619788C211yesmaximal, characteristic, complemented
7#22619785C211yesmaximal, characteristic, complemented
8#22619783C211yesmaximal, characteristic, complemented
9#22619779C211yesmaximal, characteristic, complemented
10#22619777C211yesmaximal, characteristic, complemented
11#22619772C211yesmaximal, characteristic, complemented
12#22619770C211yesmaximal, characteristic, complemented
13#22619768C211yesmaximal, characteristic, complemented
14#22619766C211yesmaximal, characteristic, complemented
15#22619761C211yesmaximal, characteristic, complemented
16#22619759C211yesmaximal, characteristic, complemented
17#22619757C211yesmaximal, characteristic, complemented
18#22619755C211yesmaximal, characteristic, complemented
19#22619721C211yesmaximal, characteristic, complemented
20#22619719C211yesmaximal, characteristic, complemented
21#22619717C211yesmaximal, characteristic, complemented
22#22619717C211yesmaximal, characteristic, complemented
23#22619715C211yesmaximal, characteristic, complemented
24#22619715C211yesmaximal, characteristic, complemented
25#22619713C211yesmaximal, characteristic, complemented
26#22618519C211yesmaximal, characteristic, complemented
27#427×D73C211yesmaximal, characteristic, complemented
28C2×#17988612C211yesmaximal, characteristic, complemented
29#22618446C211yesmaximal, characteristic
30#416×D73C211yesmaximal, characteristic
31C73×#3076C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C22×#11924011C2211yescharacteristic
34C22×C8×D73C2211yescharacteristic
35#17989217C2211yescharacteristic
36#17989217C2211yescharacteristic
37#17989217C2211yescharacteristic, complemented
38#17989217C2211yescharacteristic, complemented
39#17989216—21no—
40#17989216—21no—
41#17989214C2211yescharacteristic
42#17989214C2211yescharacteristic
43#17989214C2211yescharacteristic, complemented
44#17989214C2211yescharacteristic, complemented
45#17989212—21no—
46#17989212—21no—
47#17989144C2211yescharacteristic, complemented
48#17989141—21no—
49#17989141—21no—
50#17989141—21no—
51#17989141—21no—
52#17989140C2211yescharacteristic, complemented
53#17989140C2211yescharacteristic, complemented
54#17989069C2211yescharacteristic
55#17989069C2211yescharacteristic
56#17989066—21no—
57#17989066—21no—
58#17989066C2211yescharacteristic
59#17989066C2211yescharacteristic
60#17989063C2211yescharacteristic
61#17989063C2211yescharacteristic
62#17989059—21no—
63#17989059—21no—
64#17989059C2211yescharacteristic
65#17989059C2211yescharacteristic
66#41×Dic73C2211yescharacteristic
67C4×#11924028—21no—
68C4×#11924028C2211yescharacteristic
69#17989055—21no—
70#17989055C2211yescharacteristic
71C2×#14556548—21no—
72C2×#14556548C2211yescharacteristic
73#117×D73—21no—
74#117×D73C2211yescharacteristic
75#117×D73C2211yescharacteristic
76#117×D73C2211yescharacteristic
77#17988897C2211yescharacteristic, complemented
78#17988897C2211yescharacteristic, complemented
79#17988896C2211yescharacteristic, complemented
80#17988896C2211yescharacteristic, complemented
81#17988895C2211yescharacteristic, complemented
82#17988895C2211yescharacteristic, complemented
83#17988894C2211yescharacteristic, complemented
84#17988894C2211yescharacteristic, complemented
85#17988893C2211yescharacteristic, complemented
86#17988893C2211yescharacteristic, complemented
87#17988892C2211yescharacteristic, complemented
88#17988892C2211yescharacteristic, complemented
89#17988891C2211yescharacteristic, complemented
90#17988891C2211yescharacteristic, complemented
91#17988890C2211yescharacteristic, complemented
92#17988890C2211yescharacteristic, complemented
93#17988889C2211yescharacteristic, complemented
94#17988889C2211yescharacteristic, complemented
95#17988888C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988887C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988884C2211yescharacteristic, complemented
105#17988883C2211yescharacteristic, complemented
106#17988882C2211yescharacteristic, complemented
107#17988881C2211yescharacteristic, complemented
108#17988881C2211yescharacteristic, complemented
109#17988880C2211yescharacteristic, complemented
110#17988880C2211yescharacteristic, complemented
111#17988879C2211yescharacteristic, complemented
112#17988878C2211yescharacteristic, complemented
113#17988877C2211yescharacteristic, complemented
114#17988876C2211yescharacteristic, complemented
115#17988876C2211yescharacteristic, complemented
116#17988875C2211yescharacteristic, complemented
117#17988875C2211yescharacteristic, complemented
118#17988874C2211yescharacteristic, complemented
119#17988873C2211yescharacteristic, complemented
120#17988872C2211yescharacteristic, complemented
121#17988871C2211yescharacteristic, complemented
122#17988871C2211yescharacteristic, complemented
123#17988870C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988869C2211yescharacteristic, complemented
126#17988868C2211yescharacteristic, complemented
127#17988867C2211yescharacteristic, complemented
128#17988866C2211yescharacteristic, complemented
129#17988866C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988865C2211yescharacteristic, complemented
132#17988864C2211yescharacteristic, complemented
133#17988628C2211yescharacteristic
134#17988628C2211yescharacteristic
135#17988628C2211yescharacteristic, complemented
136#17988628C2211yescharacteristic, complemented
137#17988626C2211yescharacteristic
138#17988626C2211yescharacteristic
139#17988626C2211yescharacteristic, complemented
140#17988626C2211yescharacteristic, complemented
141#17988625C2211yescharacteristic, complemented
142#17988625C2211yescharacteristic, complemented
143#17988624C2211yescharacteristic
144#17988624C2211yescharacteristic
145#17988623C2211yescharacteristic, complemented
146#17988623C2211yescharacteristic, complemented
147#17988623C2211yescharacteristic, complemented
148#17988623C2211yescharacteristic, complemented
149#17988622C2211yescharacteristic
150#17988622C2211yescharacteristic
151#107×D73C2211yescharacteristic, complemented
152#107×D73C2211yescharacteristic, complemented
153#106×D73C2211yescharacteristic, complemented
154#106×D73C2211yescharacteristic, complemented
155#17988612C2211yescharacteristic
156#17988612C2211yescharacteristic
157#17988612C2211yescharacteristic
158#17988612C2211yescharacteristic
159#17988612C2211yescharacteristic, complemented
160#17988612C2211yescharacteristic, complemented
161#17988612C2211yescharacteristic, complemented
162#17988612C2211yescharacteristic, complemented
163C2×C4⋊#10596831C2211yescharacteristic, complemented
164C2×#14556520C2211yescharacteristic, complemented
165C2×#14556520C2211yescharacteristic, complemented
166#17988594C2211yescharacteristic
167#17988594C2211yescharacteristic
168#17988590C2211yescharacteristic
169#17988590C2211yescharacteristic
170#17988587C2211yescharacteristic
171#17988587C2211yescharacteristic
172#17988585C2211yescharacteristic
173#17988585C2211yescharacteristic
174#17988584C2211yescharacteristic
175#17988584C2211yescharacteristic
176#17988583C2211yescharacteristic
177#17988583C2211yescharacteristic
178#17988582C2211yescharacteristic
179#17988582C2211yescharacteristic
180#17988581C2211yescharacteristic
181#17988581C2211yescharacteristic
182#17988580C2211yescharacteristic
183#17988580C2211yescharacteristic
184#103×D73C2211yescharacteristic
185#103×D73C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic
190#479×C73C2211yescharacteristic, complemented
191#479×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#477×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic, complemented
196#475×C73C2211yescharacteristic, complemented
197#474×C73C2211yescharacteristic, complemented
198#427×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200C2×C4⋊C8×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208#41×D73—24no—
209#41×D73Q818yescomplemented
210C2×Q8×D73C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214C22×C4×D73C2311yescharacteristic
215C2×#11924011—24no—
216C2×#11924011C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C2×#11924011C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C22×#10596831C2311yescharacteristic
222C2×C8×D73—24no—
223C2×C8×D73C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225C2×C8×D73C2311yescharacteristic
226C2×C8×D73C2311yescharacteristic
227#14556591C2311yescharacteristic
228#14556591C2311yescharacteristic
229#14556590—21no—
230#14556590—21no—
231#14556590—21no—
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589—21no—
238#14556589—21no—
239#14556589—21no—
240#14556589—21no—
241#14556583C2311yescharacteristic
242#14556583C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556571—21no—
256#14556571—21no—
257#14556571—21no—
258#14556571—21no—
259#14556570—21no—
260#14556570—21no—
261#14556569—21no—
262#14556569—21no—
263#14556569—21no—
264#14556569—21no—
265#14556569—21no—
266#14556569—21no—
267#14556569—21no—
268#14556569—21no—
269#14556568—21no—
270#14556568—21no—
271#14556568—21no—
272#14556568—21no—
273#14556567—21no—
274#14556567—21no—
275#14556567—21no—
276#14556567—21no—
277Q8×Dic73C2311yescharacteristic
278Q8×Dic73C2311yescharacteristic
279C4×Dic146—21no—
280C4×Dic146—21no—
281C4×Dic146—21no—
282C4×Dic146—21no—
283C4×Dic146—21no—
284C4×Dic146—21no—
285C4×Dic146—21no—
286C4×Dic146—21no—
287C4×Dic146C2311yescharacteristic
288C4×Dic146C2311yescharacteristic
289#14556556—21no—
290#14556556—21no—
291#14556556C2311yescharacteristic
292#14556556C2311yescharacteristic
293C4×D292—21no—
294C4×D292—21no—
295C4×D292C2311yescharacteristic
296C4×D292C2311yescharacteristic
297D4×Dic73—21no—
298D4×Dic73—21no—
299D4×Dic73C2311yescharacteristic
300D4×Dic73C2311yescharacteristic
301#14556553—21no—
302#14556553—21no—
303#14556553C2311yescharacteristic
304#14556553C2311yescharacteristic
305C4×C22⋊D73—21no—
306C4×C22⋊D73—21no—
307C4×C22⋊D73—21no—
308C4×C22⋊D73—21no—
309C4×C22⋊D73—21no—
310C4×C22⋊D73—21no—
311#14556551—21no—
312#14556551—21no—
313#14556551—21no—
314#14556551—21no—
315#14556551—21no—
316#14556551—21no—
317#14556550—21no—
318#14556550C2311yescharacteristic
319#14556550C2311yescharacteristic
320#14556550C2311yescharacteristic
321#14556549—21no—
322#14556549—21no—
323#14556549C2311yescharacteristic
324#14556549C2311yescharacteristic
325#14556549C2311yescharacteristic
326#14556549C2311yescharacteristic
327#14556549C2311yescharacteristic
328#14556549C2311yescharacteristic
329#14556548—21no—
330#14556548—21no—
331#14556548—21no—
332#14556548—21no—
333#14556548—21no—
334#14556548—21no—
335#14556548—21no—
336#14556548—21no—
337#14556548—21no—
338#14556548D411yescharacteristic
339#14556548D411yescharacteristic
340#14556548D411yescharacteristic
341#14556548D411yescharacteristic
342#14556548C2311yescharacteristic
343#14556548C2311yescharacteristic
344#14556548C2311yescharacteristic
345#14556548C2311yescharacteristic
346#14556547—21no—
347#14556547—21no—
348#14556547—21no—
349#14556547—21no—
350#14556547—21no—
351C2×#11924007—21no—
352C2×#11924007—21no—
353C2×#11924007D411yescharacteristic
354C2×#11924007D411yescharacteristic
355C4⋊C4×D73—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73C2311yescharacteristic
358C4⋊C4×D73C2311yescharacteristic
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C2×#11924005—21no—
364C2×#11924005—21no—
365C2×#11924005D411yescharacteristic
366C2×#11924005D411yescharacteristic
367C22⋊C4×D73—21no—
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C2×C4×Dic73—21no—
373C2×C4×Dic73C2311yescharacteristic
374C42×D73—21no—
375C42×D73—21no—
376C42×D73—21no—
377C42×D73—21no—
378C42×D73—21no—
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406C4⋊#10596831C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556520C2311yescharacteristic
413#14556520C2311yescharacteristic
414#14556520C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556516C2311yescharacteristic
418#14556516C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556515C2311yescharacteristic
422#14556515C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556512C2311yescharacteristic
434#14556512C2311yescharacteristic
435#14556511C2311yescharacteristic
436#14556511C2311yescharacteristic
437#14556511C2311yescharacteristic
438#14556511C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C22×C8×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C4×Q8×C73—21no—
449C4×Q8×C73—21no—
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456#117×C73—21no—
457#117×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C42×C73—21no—
461C2×C42×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
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73C2×D411yescharacteristic
484#11924029—22no—
485#11924029C2×Q814yes—
486#11924028—22no—
487#11924028—28no—
488#11924028C2×Q814yes—
489#11924027—28no—
490#11924027—22no—
491#11924027C2×Q814yes—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2411yescharacteristic
500Q8×D73—22no—
501Q8×D73C2×Q814yes—
502C2×D292—21no—
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507D4×D73—28no—
508D4×D73—22no—
509D4×D73C2×Q814yes—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73C2×D411yescharacteristic
514C22×Dic73C2×D411yescharacteristic
515C22×Dic73C2×D411yescharacteristic
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—28no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×Q814yes—
533C2×C4×D73#4114yes—
534C2×C4×D73C2411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536#11924011—22no—
537#11924011—22no—
538#11924011—22no—
539#11924011—22no—
540C2×#10596831—22no—
541C2×#10596831—22no—
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C8×D73—22no—
547C8×D73—22no—
548C8×D73—22no—
549C8×D73—22no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636#41×C73—22no—
637#41×C73C2×Q814yes—
638C2×Q8×C73—21no—
639C2×Q8×C73—21no—
640C2×Q8×C73C2411yescharacteristic
641C2×D4×C73—21no—
642C2×D4×C73C2411yescharacteristic
643C22×C4×C73—21no—
644C22×C4×C73—21no—
645C22×C4×C73—21no—
646C22×C4×C73C2×D411yescharacteristic
647C22×C4×C73C2×D411yescharacteristic
648C22×C4×C73C2411yescharacteristic
649C2×C8×C73—22no—
650C2×C8×C73—22no—
651C2×C8×C73C2411yescharacteristic
652C2×C8×C73C2411yescharacteristic
653C2×C8×C73C2411yescharacteristic
654C2×C8×C73C2411yescharacteristic
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73—21no—
660C4⋊C4×C73—21no—
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C4⋊C4×C73C2411yescharacteristic
667C4⋊C4×C73C2411yescharacteristic
668C4⋊C4×C73C2411yescharacteristic
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73—21no—
673C22⋊C4×C73—21no—
674C42×C73—21no—
675C42×C73—21no—
676C42×C73—21no—
677C42×C73—21no—
678C42×C73—21no—
679C42×C73C2×D411yescharacteristic
680C42×C73C2×D411yescharacteristic
681C42×C73C2411yescharacteristic
682C42×C73C2411yescharacteristic
683C23×C73—21no—
684C23×C73C22×D411yescharacteristic
685C22×D73—21no—
686C22×D73—24no—
687C22×D73—41no—
688C22×D73—41no—
689C22×D73—81no—
690C22×D73—81no—
691C22×D73C22⋊Q814yes—
692C22×D73C22×D411yescharacteristic
693C22×D73C22×D411yescharacteristic
694Q8×C73—21no—
695Q8×C73—81no—
696Q8×C73—81no—
697Q8×C73C22×Q812yes—
698D4×C73—24no—
699D4×C73—21no—
700D4×C73C22×Q812yes—
701C2×C4×C73—21no—
702C2×C4×C73—24no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—41no—
710C2×C4×C73—41no—
711C2×C4×C73—81no—
712C2×C4×C73—81no—
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C22×Q812yes—
719C2×C4×C73C2×#4112yes—
720C2×C4×C73C2511yescharacteristic
721C22⋊D73—24no—
722C22⋊D73—24no—
723C22⋊D73—24no—
724C2×Dic73—21no—
725C2×Dic73—24no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—41no—
733C2×Dic73—41no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73C22⋊Q814yes—
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743D292—24no—
744D292—21no—
745D292C22×Q812yes—
746C4×D73—24no—
747C4×D73—24no—
748C4×D73—24no—
749C4×D73—81no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73C22⋊Q814yes—
760C4×D73C22⋊Q814yes—
761C4×D73C22×Q812yes—
762C4×D73C22×Q812yes—
763C4×D73C2×#4112yes—
764C4×D73C2×#4112yes—
765Dic146—21no—
766Dic146—24no—
767Dic146—81no—
768Dic146—81no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773Dic146C22×Q812yes—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777C8×C73—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781#10596831—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—22no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73C2×C22⋊Q812yes—
788C22×C73C23×D411yescharacteristic
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—22no—
794C2×D73—44no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—84no—
798C2×D73C2×C22⋊Q812yes—
799C2×D73C2×C22⋊Q812yes—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—21no—
804C4×C73—22no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73C2×C22⋊Q812yes—
812C4×C73C23×Q811yescharacteristic
813C4×C73C22×#4111yescharacteristic
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—22no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73C2×C22⋊Q812yes—
826Dic73C2×C22⋊Q812yes—
827#60489—731nomaximal, Sylow
828C2×C73—22no—
829C2×C73—42no—
830C2×C73C22×C22⋊Q811yescharacteristic
831C2×C73#358411yescharacteristic
832C2×C73#358411yescharacteristic
833D73—22no—
834D73—22no—
835D73—42no—
836#3458—731no—
837#3428—731no—
838#3084—731no—
839#3084—731no—
840#3084—731no—
841#3084—731no—
842#3083—731no—
843#3083—731no—
844#3083—731no—
845#3083—731no—
846#3082—731no—
847#3082—731no—
848#3082—731no—
849#3082—731no—
850#3081—731no—
851#3081—731no—
852#3081—731no—
853#3081—731no—
854#3076—731no—
855#3076—731no—
856#3076—731no—
857#3076—731no—
858#3076—731no—
859#3076—731no—
860#3076—731no—
861#3076D7311yescharacteristic, complemented
862#2911—731no—
863C2×#427—731no—
864C2×#424—731no—
865#2896—731no—
866C2×#416—731no—
867C73#6048911yescharacteristic, complemented, Sylow
868C22×#41—731no—
869C22×M16—731no—
870C23×C8—731no—
871#544—731no—
872#544—731no—
873#544—731no—
874#544—731no—
875#544—731no—
876#544—731no—
877#544—731no—
878#544—731no—
879#544—1461no—
880#544—1461no—
881#543—1461no—
882#543—1461no—
883#533—731no—
884#533—731no—
885#533—731no—
886#533—1461no—
887#533—1461no—
888#533—1461no—
889#533—1461no—
890#533C2×D7311yescharacteristic, complemented
891#520—731no—
892#520—731no—
893#520—731no—
894#520—731no—
895#520—1461no—
896#520—1461no—
897#519—731no—
898#519—731no—
899#518—731no—
900#518—731no—
901#518—1461no—
902#518—1461no—
903C4×#41—731no—
904C4×#41—731no—
905C4×#41—731no—
906C4×#41—1461no—
907C4×#41—1461no—
908C4×#41C2×D7311yescharacteristic
909C2×#117—731no—
910C2×#117—731no—
911C2×#117—731no—
912C2×#117—731no—
913C2×#117—1461no—
914C2×#117—1461no—
915#479—731no—
916#479—731no—
917#479—731no—
918#479—731no—
919#479—731no—
920#479—731no—
921#479—731no—
922#479—731no—
923#479—731no—
924#479—731no—
925#479—731no—
926#479—731no—
927#479—731no—
928#479—731no—
929#479C2×D7311yescharacteristic, complemented
930#479C2×D7311yescharacteristic, complemented
931#478—731no—
932#478—731no—
933#478—731no—
934#478—731no—
935#478—731no—
936#478—731no—
937#478—731no—
938#478—731no—
939#478—731no—
940#478—731no—
941#478—731no—
942#478—731no—
943#478—731no—
944#478—731no—
945#478C2×D7311yescharacteristic, complemented
946#478C2×D7311yescharacteristic, complemented
947#477—731no—
948#477—731no—
949#477—731no—
950#477—731no—
951#477—731no—
952#477—731no—
953#477—731no—
954#477C2×D7311yescharacteristic, complemented
955#476—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476C2×D7311yescharacteristic, complemented
963#475—731no—
964#475—731no—
965#475—731no—
966#475—731no—
967#475—731no—
968#475—731no—
969#475—731no—
970#475C2×D7311yescharacteristic, complemented
971#474—731no—
972#474—731no—
973#474—731no—
974#474—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#474C2×D7311yescharacteristic, complemented
979#428—731no—
980#428—731no—
981#428—731no—
982#428—731no—
983#428—731no—
984#428—731no—
985#428—731no—
986#428—731no—
987#427—731no—
988#427—731no—
989#427—731no—
990#427—731no—
991#427—731no—
992#427—731no—
993#427—731no—
994#427—731no—
995#427—731no—
996#427—731no—
997#427C2×D7311yescharacteristic, complemented
998#427C2×D7311yescharacteristic, complemented
999C2×#107—731no—
1000C2×#107—731no—
1001C2×#106—731no—
1002C2×#106—731no—
1003#424—731no—
1004#424—731no—
1005#424—731no—
1006#424—731no—
1007#424—731no—
1008#424—731no—
1009#424—731no—
1010#424—731no—
1011C2×C4⋊C8—731no—
1012C2×C4⋊C8—731no—
1013C2×C4⋊C8—731no—
1014C2×C4⋊C8C2×D7311yescharacteristic, complemented
1015#419—731no—
1016#419—731no—
1017#418—731no—
1018#418—731no—
1019#417—731no—
1020#417—731no—
1021#417—731no—
1022#417—731no—
1023#416—731no—
1024#416—731no—
1025#416—731no—
1026#416—731no—
1027#416—731no—
1028#416—731no—
1029#416—731no—
1030#416—731no—
1031#416—731no—
1032#416—731no—
1033#416C2×D7311yescharacteristic
1034#416C2×D7311yescharacteristic
1035C2×#103—731no—
1036C2×#103—731no—
1037C2×#102—731no—
1038C2×#102—731no—
1039C2×#41—738no—
1040C2×#41—731no—
1041C2×#41—731no—
1042C2×#41—731no—
1043C2×#41—1461no—
1044C2×#41—1461no—
1045C2×#41—1464no—
1046C2×#41C22×D7311yescharacteristic
1047C22×Q8—731no—
1048C22×D4—731no—
1049C22×D4—1461no—
1050C23×C4—731no—
1051C23×C4—1461no—
1052C2×M16—731no—
1053C2×M16—731no—
1054C2×M16—731no—
1055C2×M16—731no—
1056C2×M16—1464no—
1057C22×C8—731no—
1058C22×C8—731no—
1059C22×C8—731no—
1060C22×C8—731no—
1061C22×C8—731no—
1062C22×C8—731no—
1063C22×C8—1464no—
1064C22×C8C22×D7311yescharacteristic
1065C22×C8C22×D7311yescharacteristic
1066C4⋊Q8—731no—
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8—1461no—
1079C4⋊Q8—1461no—
1080C4⋊Q8C22×D7311yescharacteristic
1081C4⋊Q8C22×D7311yescharacteristic
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125—1461no—
1096#125C22×D7311yescharacteristic
1097#125C22×D7311yescharacteristic
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—1461no—
1101C22⋊Q8—1461no—
1102C22⋊Q8—1461no—
1103C22⋊Q8—1461no—
1104C22⋊Q8—1461no—
1105C22⋊Q8—1461no—
1106C22⋊Q8—1461no—
1107C22⋊Q8—1461no—
1108C22⋊Q8—1461no—
1109C22⋊Q8—1461no—
1110C22⋊Q8—1461no—
1111C22⋊Q8—1461no—
1112C22⋊Q8—1461no—
1113C22⋊Q8—1461no—
1114C22⋊Q8—1461no—
1115C22⋊Q8—1461no—
1116C22⋊Q8—1461no—
1117C22⋊Q8—1461no—
1118C22⋊Q8—1461no—
1119C22⋊Q8—1461no—
1120C22⋊Q8—1461no—
1121C22⋊Q8—1461no—
1122C4×Q8—21no—
1123C4×Q8—21no—
1124C4×Q8—731no—
1125C4×Q8—731no—
1126C4×Q8—731no—
1127C4×Q8—731no—
1128C4×Q8—731no—
1129C4×Q8—731no—
1130C4×Q8—1461no—
1131C4×Q8—1461no—
1132C4×Q8—1461no—
1133C4×Q8—1461no—
1134C4×Q8—1461no—
1135C4×Q8—1461no—
1136C4×Q8—1461no—
1137C4×Q8—1461no—
1138C4×Q8—1461no—
1139C4×Q8—1461no—
1140C4×Q8C22×D7311yescharacteristic
1141C4×Q8C22×D7311yescharacteristic
1142C4×D4—21no—
1143C4×D4—21no—
1144C4×D4—731no—
1145C4×D4—731no—
1146C4×D4—731no—
1147C4×D4—731no—
1148C4×D4—731no—
1149C4×D4—731no—
1150C4×D4—1461no—
1151C4×D4—1461no—
1152C4×D4—1461no—
1153C4×D4—1461no—
1154C4×D4—1461no—
1155C4×D4—1461no—
1156C4×D4—1461no—
1157C4×D4—1461no—
1158C4×D4—1461no—
1159C4×D4—1461no—
1160C4×D4—1461no—
1161C4×D4—1461no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4—1461no—
1165C4×D4—1461no—
1166C4×D4—1461no—
1167C4×D4—1461no—
1168C4×D4C22×D7311yescharacteristic
1169C4×D4C22×D7311yescharacteristic
1170#117—21no—
1171#117—731no—
1172#117—731no—
1173#117—731no—
1174#117—731no—
1175#117—731no—
1176#117—731no—
1177#117—731no—
1178#117—731no—
1179#117—731no—
1180#117—731no—
1181#117—731no—
1182#117—731no—
1183#117—731no—
1184#117—731no—
1185#117—731no—
1186#117—731no—
1187#117—731no—
1188#117—1461no—
1189#117—1461no—
1190#117—1461no—
1191#117—1461no—
1192#117—1461no—
1193#117—1461no—
1194#117—1461no—
1195#117—1461no—
1196#117—1461no—
1197#117—1461no—
1198#117—1461no—
1199#117—1461no—
1200#117—1461no—
1201#117—1461no—
1202#117—1461no—
1203#117—1461no—
1204#117—1461no—
1205#117C22×D7311yescharacteristic
1206#117C22×D7311yescharacteristic
1207#117C22×D7311yescharacteristic
1208C2×C4⋊C4—731no—
1209C2×C4⋊C4—731no—
1210C2×C4⋊C4—731no—
1211C2×C4⋊C4—731no—
1212C2×C4⋊C4—731no—
1213C2×C4⋊C4—731no—
1214C2×C4⋊C4—731no—
1215C2×C4⋊C4—731no—
1216C2×C4⋊C4—1461no—
1217C2×C4⋊C4—1461no—
1218C2×C4⋊C4—1461no—
1219C2×C4⋊C4—1461no—
1220C2×C22⋊C4—731no—
1221C2×C22⋊C4—731no—
1222C2×C22⋊C4—1461no—
1223C2×C22⋊C4—1461no—
1224C2×C22⋊C4—1461no—
1225C2×C22⋊C4—1461no—
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C42—21no—
1230C2×C42—731no—
1231C2×C42—1461no—
1232C2×C42—1461no—
1233C2×C42—1461no—
1234C2×C42—1461no—
1235C2×C42—1461no—
1236C2×C42—1461no—
1237C2×C42C22×D7311yescharacteristic
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107C22×D7311yescharacteristic
1251#107C22×D7311yescharacteristic
1252#107C22×D7311yescharacteristic
1253#107C22×D7311yescharacteristic
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106—731no—
1264#106—731no—
1265#106—731no—
1266#106C22×D7311yescharacteristic
1267#106C22×D7311yescharacteristic
1268#106C22×D7311yescharacteristic
1269#106C22×D7311yescharacteristic
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8—731no—
1280C4⋊C8—731no—
1281C4⋊C8—731no—
1282C4⋊C8C22×D7311yescharacteristic
1283C4⋊C8C22×D7311yescharacteristic
1284C4⋊C8C22×D7311yescharacteristic
1285C4⋊C8C22×D7311yescharacteristic
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#103C22×D7311yescharacteristic
1301#103C22×D7311yescharacteristic
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102C22×D7311yescharacteristic
1315#102C22×D7311yescharacteristic
1316#102C22×D7311yescharacteristic
1317#102C22×D7311yescharacteristic
1318C24—731no—
1319C24—1461no—
1320#41—22no—
1321#41—734no—
1322#41—734no—
1323#41—734no—
1324#41—1468no—
1325#41—1468no—
1326#41—1462no—
1327#41—1462no—
1328#41—1462no—
1329#41Q8×D7314yes—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—734no—
1333C2×Q8—731no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8—1461no—
1337C2×Q8—1461no—
1338C2×Q8—1461no—
1339C2×Q8—1462no—
1340C2×Q8—1461no—
1341C2×Q8—1461no—
1342C2×Q8C23×D7311yescharacteristic
1343C2×D4—21no—
1344C2×D4—734no—
1345C2×D4—731no—
1346C2×D4—1461no—
1347C2×D4—1462no—
1348C2×D4—1461no—
1349C2×D4—1468no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4C23×D7311yescharacteristic
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—731no—
1359C22×C4—731no—
1360C22×C4—731no—
1361C22×C4—734no—
1362C22×C4—734no—
1363C22×C4—731no—
1364C22×C4—731no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1468no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4D4×D7311yescharacteristic
1383C22×C4D4×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385M16—1462no—
1386M16—1462no—
1387M16—1462no—
1388M16—1462no—
1389C2×C8—22no—
1390C2×C8—22no—
1391C2×C8—731no—
1392C2×C8—731no—
1393C2×C8—731no—
1394C2×C8—731no—
1395C2×C8—1462no—
1396C2×C8—1462no—
1397C2×C8—1462no—
1398C2×C8—1462no—
1399C2×C8—1462no—
1400C2×C8—1462no—
1401C2×C8C23×D7311yescharacteristic
1402C2×C8C23×D7311yescharacteristic
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C4⋊C4C23×D7311yescharacteristic
1461C4⋊C4C23×D7311yescharacteristic
1462C4⋊C4C23×D7311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
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—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—731no—
1497C42—731no—
1498C42—731no—
1499C42—731no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42—1461no—
1506C42—1461no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42D4×D7311yescharacteristic
1516C42D4×D7311yescharacteristic
1517C42C23×D7311yescharacteristic
1518C42C23×D7311yescharacteristic
1519C23—21no—
1520C23—2921no—
1521C23—2921no—
1522C23—5841no—
1523C23—5841no—
1524C23—734no—
1525C23—731no—
1526C23—731no—
1527C23—1464no—
1528C23—1461no—
1529C23C2×D4×D7311yescharacteristic
1530Q8—21no—
1531Q8—81no—
1532Q8—81no—
1533Q8—5841no—
1534Q8—5841no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—732no—
1540Q8—1464no—
1541Q8—1461no—
1542Q8C2×Q8×D7312yes—
1543D4—24no—
1544D4—21no—
1545D4—732no—
1546D4—1464no—
1547D4—1464no—
1548D4—1464no—
1549D4—1464no—
1550D4—1461no—
1551D4C2×Q8×D7312yes—
1552C2×C4—21no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—2921no—
1565C2×C4—2921no—
1566C2×C4—5841no—
1567C2×C4—5841no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—734no—
1581C2×C4—732no—
1582C2×C4—732no—
1583C2×C4—732no—
1584C2×C4—732no—
1585C2×C4—734no—
1586C2×C4—734no—
1587C2×C4—731no—
1588C2×C4—731no—
1589C2×C4—731no—
1590C2×C4—731no—
1591C2×C4—1464no—
1592C2×C4—1464no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1464no—
1600C2×C4—1461no—
1601C2×C4—1464no—
1602C2×C4C2×D4×D7311yescharacteristic
1603C2×C4C2×D4×D7311yescharacteristic
1604C2×C4C2×D4×D7311yescharacteristic
1605C2×C4C2×D4×D7311yescharacteristic
1606C2×C4C2×D4×D7311yescharacteristic
1607C2×C4C2×Q8×D7312yes—
1608C2×C4#41×D7312yes—
1609C2×C4C24×D7311yescharacteristic
1610C8—21no—
1611C8—21no—
1612C8—21no—
1613C8—21no—
1614C8—1461no—
1615C8—1461no—
1616C8—1461no—
1617C8—1461no—
1618C22—21no—
1619C22—21no—
1620C22—22no—
1621C22—41no—
1622C22—41no—
1623C22—2924no—
1624C22—2921no—
1625C22—2921no—
1626C22—5844no—
1627C22—732no—
1628C22—732no—
1629C22—1462no—
1630C22—1461no—
1631C22—1461no—
1632C22—1461no—
1633C22—1461no—
1634C22C22⋊Q8×D7312yes—
1635C22C22×D4×D7311yescharacteristic
1636C4—22no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—2921no—
1648C4—2921no—
1649C4—2921no—
1650C4—2921no—
1651C4—2921no—
1652C4—2921no—
1653C4—732no—
1654C4—732no—
1655C4—1462no—
1656C4—1461no—
1657C4—1461no—
1658C4—1461no—
1659C4—1461no—
1660C4C22⋊Q8×D7312yes—
1661C4C22×Q8×D7311yescharacteristic
1662C4C2×#41×D7311yescharacteristic
1663C2—22no—
1664C2—42no—
1665C2—2922no—
1666C2—1462no—
1667C2—1462no—
1668C2C2×C22⋊Q8×D7311yescharacteristic
1669C2#2262470011yescharacteristic
1670C2#2262470411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3076C2
socleC22×C73C23×D4
prime radicalC2×#41×D73C22
hypercenter#3076D73
hypocenterC73#60489
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3076

Complements

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

NH ≅ G/Ntype
1. #22623334C2semidirect
3. #22619796C2semidirect
4. #22619794C2semidirect
5. #22619790C2semidirect
6. #22619788C2semidirect
7. #22619785C2semidirect
8. #22619783C2semidirect
9. #22619779C2semidirect
10. #22619777C2semidirect
11. #22619772C2semidirect
12. #22619770C2semidirect
13. #22619768C2semidirect
14. #22619766C2semidirect
15. #22619761C2semidirect
16. #22619759C2semidirect
17. #22619757C2semidirect
18. #22619755C2semidirect
19. #22619721C2semidirect
20. #22619719C2semidirect
21. #22619717C2semidirect
22. #22619717C2semidirect
23. #22619715C2semidirect
24. #22619715C2semidirect
25. #22619713C2semidirect
26. #22618519C2semidirect
27. #427×D73C2semidirect
28. C2×#17988612C2semidirect
31. C73×#3076C2semidirect
37. #17989217C22semidirect
38. #17989217C22semidirect
43. #17989214C22semidirect
44. #17989214C22semidirect
47. #17989144C22semidirect
52. #17989140C22semidirect
53. #17989140C22semidirect
77. #17988897C22semidirect
78. #17988897C22semidirect
79. #17988896C22semidirect
80. #17988896C22semidirect
81. #17988895C22semidirect
82. #17988895C22semidirect
83. #17988894C22semidirect
84. #17988894C22semidirect
85. #17988893C22semidirect
86. #17988893C22semidirect
87. #17988892C22semidirect
88. #17988892C22semidirect
89. #17988891C22semidirect
90. #17988891C22semidirect
91. #17988890C22semidirect
92. #17988890C22semidirect
93. #17988889C22semidirect
94. #17988889C22semidirect
95. #17988888C22semidirect
96. #17988888C22semidirect
97. #17988887C22semidirect
98. #17988887C22semidirect
99. #17988886C22semidirect
100. #17988886C22semidirect
101. #17988885C22semidirect
102. #17988885C22semidirect
103. #17988884C22semidirect
104. #17988884C22semidirect
105. #17988883C22semidirect
106. #17988882C22semidirect
107. #17988881C22semidirect
108. #17988881C22semidirect
109. #17988880C22semidirect
110. #17988880C22semidirect
111. #17988879C22semidirect
112. #17988878C22semidirect
113. #17988877C22semidirect
114. #17988876C22semidirect
115. #17988876C22semidirect
116. #17988875C22semidirect
117. #17988875C22semidirect
118. #17988874C22semidirect
119. #17988873C22semidirect
120. #17988872C22semidirect
121. #17988871C22semidirect
122. #17988871C22semidirect
123. #17988870C22semidirect
124. #17988870C22semidirect
125. #17988869C22semidirect
126. #17988868C22semidirect
127. #17988867C22semidirect
128. #17988866C22semidirect
129. #17988866C22semidirect
130. #17988865C22semidirect
131. #17988865C22semidirect
132. #17988864C22semidirect
135. #17988628C22semidirect
136. #17988628C22semidirect
139. #17988626C22semidirect
140. #17988626C22semidirect
141. #17988625C22semidirect
142. #17988625C22semidirect
145. #17988623C22semidirect
146. #17988623C22semidirect
147. #17988623C22semidirect
148. #17988623C22semidirect
151. #107×D73C22semidirect
152. #107×D73C22semidirect
153. #106×D73C22semidirect
154. #106×D73C22semidirect
159. #17988612C22semidirect
160. #17988612C22semidirect
161. #17988612C22semidirect
162. #17988612C22semidirect
163. C2×C4⋊#10596831C22semidirect
164. C2×#14556520C22semidirect
165. C2×#14556520C22semidirect
188. #533×C73C22semidirect
190. #479×C73C22semidirect
191. #479×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
194. #477×C73C22semidirect
195. #476×C73C22semidirect
196. #475×C73C22semidirect
197. #474×C73C22semidirect
198. #427×C73C22semidirect
199. #427×C73C22semidirect
200. C2×C4⋊C8×C73C22semidirect
209. #41×D73Q8semidirect
861. #3076D73semidirect
867. C73#60489semidirect
890. #533C2×D73semidirect
929. #479C2×D73semidirect
930. #479C2×D73semidirect
945. #478C2×D73semidirect
946. #478C2×D73semidirect
954. #477C2×D73semidirect
962. #476C2×D73semidirect
970. #475C2×D73semidirect
978. #474C2×D73semidirect
997. #427C2×D73semidirect
998. #427C2×D73semidirect
1014. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226233342
#226231302
#226197962
#226197942
#226197902
#226197882
#226197852
#226197832
#226197792
#226197772
#226197722
#226197702
#226197682
#226197662
#226197612
#226197592
#226197572
#226197552
#226197212
#226197192
#226197172
#226197152
#226197132
#226185192
#427×D732
C2×#179886122
#226184462
#416×D732
C73×#30762
#6048973