Finite Group Databasebeta

← #33968025

Subgroups — #33968025

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623536C211yesmaximal, characteristic, complemented
2#22623523C211yesmaximal, characteristic, complemented
3#22623018C211yesmaximal, characteristic, complemented
4#22622869C211yesmaximal, characteristic, complemented
5#22622698C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622476C211yesmaximal, characteristic, complemented
8#22622409C211yesmaximal, characteristic, complemented
9#22622326C211yesmaximal, characteristic, complemented
10#22622073C211yesmaximal, characteristic, complemented
11#22622037C211yesmaximal, characteristic, complemented
12#22621939C211yesmaximal, characteristic, complemented
13#22621828C211yesmaximal, characteristic, complemented
14#22621782C211yesmaximal, characteristic, complemented
15#22621636C211yesmaximal, characteristic, complemented
16#22621467C211yesmaximal, characteristic, complemented
17#22621424C211yesmaximal, characteristic, complemented
18#22620661C211yesmaximal, characteristic, complemented
19#22620632C211yesmaximal, characteristic, complemented
20#22620622C211yesmaximal, characteristic, complemented
21#22620101C211yesmaximal, characteristic, complemented
22#22620077C211yesmaximal, characteristic, complemented
23#22620070C211yesmaximal, characteristic, complemented
24#22620043C211yesmaximal, characteristic, complemented
25#22620041C211yesmaximal, characteristic, complemented
26#22620024C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618735C211yesmaximal, characteristic, complemented
29#22618727C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3311C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989319—21no—
37#17989319C2211yescharacteristic
38#17989312C2211yescharacteristic, complemented
39#17989309—21no—
40#17989296C2211yescharacteristic
41#17989295C2211yescharacteristic
42#17989288—21no—
43#17989288—21no—
44#17989284C2211yescharacteristic
45#17989283C2211yescharacteristic
46#17989281C2211yescharacteristic
47#17989281C2211yescharacteristic, complemented
48#17989280—21no—
49#17989263—21no—
50#17989260—21no—
51#17989258C2211yescharacteristic, complemented
52#17989247C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989225C2211yescharacteristic
55#17989224—21no—
56D4×C22⋊D73C2211yescharacteristic
57#17989138C2211yescharacteristic, complemented
58#17989136—21no—
59#17989132C2211yescharacteristic
60#17989123C2211yescharacteristic
61#17989123C2211yescharacteristic, complemented
62#17989123C2211yescharacteristic, complemented
63#17989120—21no—
64#17989120—21no—
65#17989116C2211yescharacteristic
66#17989114—21no—
67#17989097—21no—
68#17989093—21no—
69#41×Dic73C2211yescharacteristic
70C4×#11924029—21no—
71#17989055C2211yescharacteristic, complemented
72#17989055C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×D4×Dic73C2211yescharacteristic
76C2×#14556551—21no—
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988987C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988972C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic
94#17988911C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic
98#17988901C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic
105#17988885C2211yescharacteristic
106#17988885C2211yescharacteristic, complemented
107#17988874C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic
111#17988835C2211yescharacteristic
112#17988835C2211yescharacteristic, complemented
113#17988823C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic
115#17988822C2211yescharacteristic
116#17988821C2211yescharacteristic, complemented
117#17988819C2211yescharacteristic, complemented
118#17988819C2211yescharacteristic, complemented
119#17988818C2211yescharacteristic, complemented
120#17988812C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic
128#17988783C2211yescharacteristic, complemented
129#17988782C2211yescharacteristic
130#17988781C2211yescharacteristic
131#17988747C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988734C2211yescharacteristic
134#17988734C2211yescharacteristic, complemented
135#17988732C2211yescharacteristic
136#17988730C2211yescharacteristic, complemented
137#17988724C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988721C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988694C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988691C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic
159#17988688C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic
161#17988686C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic
164#17988684C2211yescharacteristic
165#17988684C2211yescharacteristic, complemented
166#17988678C2211yescharacteristic
167#17988678C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988623C2211yescharacteristic, complemented
180#107×D73C2211yescharacteristic, complemented
181#17988589C2211yescharacteristic, complemented
182#17988584C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic
203C2×#11924029—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027D411yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C23×Dic73—21no—
212C22×C4×D73—21no—
213#14556617—24no—
214#14556611—24no—
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222SD16×D73—24no—
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556589—21no—
235#14556588C2311yescharacteristic
236#14556587—21no—
237#14556587C2311yescharacteristic
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556585—21no—
243#14556585—21no—
244#14556584—21no—
245#14556584—21no—
246#14556583C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556580—21no—
254#14556580C2311yescharacteristic
255#14556580C2311yescharacteristic
256#14556580C2311yescharacteristic
257#14556579—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556576—21no—
263#14556576—21no—
264#14556575—21no—
265#14556575—21no—
266#14556575—21no—
267#14556575—21no—
268#14556574—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556572—21no—
275#14556571—21no—
276#14556570—21no—
277#14556569—21no—
278#14556569—21no—
279#14556568—21no—
280#14556568—21no—
281#14556568—21no—
282#14556567C2311yescharacteristic
283#14556566—21no—
284#14556566C2311yescharacteristic
285#14556566C2311yescharacteristic
286#14556565C2311yescharacteristic
287#14556565C2311yescharacteristic
288#14556565C2311yescharacteristic
289#14556565C2311yescharacteristic
290#14556564—21no—
291#14556564—21no—
292#14556564—21no—
293#14556564—21no—
294#14556564—21no—
295#14556564—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556563—21no—
300#14556562—21no—
301#14556562C2311yescharacteristic
302#14556560—21no—
303#14556559—21no—
304#14556559—21no—
305Q8×Dic73—21no—
306Q8×Dic73C2311yescharacteristic
307Q8×Dic73C2311yescharacteristic
308Q8×Dic73C2311yescharacteristic
309C4×Dic146—21no—
310C4×Dic146C2311yescharacteristic
311C4×Dic146C2311yescharacteristic
312#14556556—21no—
313#14556556D411yescharacteristic
314#14556556C2311yescharacteristic
315#14556556C2311yescharacteristic
316#14556556C2311yescharacteristic
317C4×D292—21no—
318C4×D292—21no—
319C4×D292—21no—
320C4×D292C2311yescharacteristic
321D4×Dic73—21no—
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73—21no—
325D4×Dic73D411yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330D4×Dic73C2311yescharacteristic
331#14556553—21no—
332#14556553—21no—
333#14556553—21no—
334#14556553—21no—
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73C2311yescharacteristic
342C4×C22⋊D73C2311yescharacteristic
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551D411yescharacteristic
358#14556551D411yescharacteristic
359#14556550—21no—
360#14556550C2311yescharacteristic
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556549D411yescharacteristic
365#14556548—21no—
366#14556548—21no—
367#14556547—21no—
368#14556547D411yescharacteristic
369#14556547D411yescharacteristic
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×C22⋊Dic73—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73C2311yescharacteristic
380C2×C4×Dic73C2311yescharacteristic
381C42×D73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#126×C73—21no—
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×Q8×C73—21no—
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—44no—
483#11924028—22no—
484#11924028—22no—
485#11924028—41no—
486#11924028—41no—
487#11924027—42no—
488#11924027—82no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493Q8×D73—22no—
494Q8×D73—41no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—44no—
513C2×C22⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—22no—
516D4×D73—41no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—82no—
524C22×Dic73C2×D411yescharacteristic
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C22×Dic73C2×D411yescharacteristic
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—82no—
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543#11924018—22no—
544#11924017—22no—
545#11924016—22no—
546#11924016#4114yescomplemented
547#11924015—22no—
548#11924015—22no—
549#11924015—41no—
550D584—41no—
551D584—41no—
552#11924013—22no—
553#11924013—22no—
554#11924013—22no—
555#11924013—41no—
556#11924012—22no—
557C2×#10596831—22no—
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C8×D73—22no—
563C8×D73—41no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
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×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C24×C73—21no—
641#41×C73—22no—
642#41×C73—41no—
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73C2411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658Q16×C73—41no—
659SD16×C73—22no—
660SD16×C73—41no—
661M16×C73—41no—
662C2×C8×C73—41no—
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—42no—
695C23×C73—42no—
696C23×C73—81no—
697C23×C73C22×D411yescharacteristic
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—21no—
710Q8×C73—42no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—41no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73—81no—
718D4×C73C2×#4112yes—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—42no—
730C2×C4×C73—81no—
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C2511yescharacteristic
736C22⋊D73—22no—
737C22⋊D73—22no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—41no—
754C2×Dic73—41no—
755C2×Dic73—41no—
756C2×Dic73—41no—
757C2×Dic73—42no—
758C2×Dic73—42no—
759C2×Dic73—42no—
760C2×Dic73—81no—
761C2×Dic73—81no—
762C2×Dic73—81no—
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—42no—
777D292—42no—
778D292—42no—
779D292—81no—
780C4×D73—22no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—41no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795Dic146—21no—
796Dic146—41no—
797Dic146—42no—
798Dic146—81no—
799Dic146C2×#4112yes—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yes—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—22no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—84no—
821C22×C73C23×D411yescharacteristic
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73#57512yes—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—41no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73C22×#4111yescharacteristic
846C4×C73#58511yescharacteristic
847Dic73—21no—
848Dic73—21no—
849Dic73—21no—
850Dic73—22no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—42no—
861C2×C73—41no—
862C2×C73—41no—
863C2×C73—81no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—22no—
868D73—81no—
869D73—81no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311D7311yescharacteristic, complemented
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557—731no—
910#556—1461no—
911#556C2×D7311yescharacteristic, complemented
912#554—731no—
913#554—731no—
914#553—731no—
915#553—731no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553—1461no—
920#553—1461no—
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—1461no—
928#546C2×D7311yescharacteristic
929D42—731no—
930#532—731no—
931#532—731no—
932#532—1461no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501—731no—
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490—731no—
959#489—731no—
960#489C2×D7311yescharacteristic, complemented
961#488—731no—
962#488—731no—
963#485—731no—
964#485C2×D7311yescharacteristic, complemented
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482C2×D7311yescharacteristic, complemented
971#481—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#479—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476C2×D7311yescharacteristic
985#475—731no—
986#474—731no—
987#470C2×D7311yescharacteristic, complemented
988#469—731no—
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465C2×D7311yescharacteristic, complemented
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464C2×D7311yescharacteristic, complemented
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452C2×D7311yescharacteristic
1013#451—731no—
1014#450C2×D7311yescharacteristic
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446—731no—
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435C2×D7311yescharacteristic, complemented
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418C2×D7311yescharacteristic
1066#417—731no—
1067#416—731no—
1068#416C2×D7311yescharacteristic
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97—731no—
1074C2×#41—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—1461no—
1078C2×#41—1461no—
1079C2×#41C22×D7311yescharacteristic
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—1461no—
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16C22×D7311yescharacteristic
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—1464no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×M16—731no—
1106C2×M16C22×D7311yescharacteristic
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8C22×D7311yescharacteristic
1111C4⋊Q8—731no—
1112C4⋊Q8—1461no—
1113C4⋊Q8C22×D7311yescharacteristic
1114#127—731no—
1115#127—731no—
1116#127—1461no—
1117#126—21no—
1118#126—21no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—21no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124C22×D7311yescharacteristic
1145#123—21no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—731no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8C22×D7311yescharacteristic
1168C22⋊Q8C22×D7311yescharacteristic
1169C22⋊Q8C22×D7311yescharacteristic
1170#121—21no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121C22×D7311yescharacteristic
1191#120—21no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—21no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—731no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
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—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117C22×D7311yescharacteristic
1265#117C22×D7311yescharacteristic
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4—1461no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—731no—
1278C2×C42—1461no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8C22×D7311yescharacteristic
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103C22×D7311yescharacteristic
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102C22×D7311yescharacteristic
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8C22×D7311yescharacteristic
1341C22⋊C8C22×D7311yescharacteristic
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350C4×C8—731no—
1351C4×C8—731no—
1352C24—21no—
1353C24—1461no—
1354#41—22no—
1355#41—41no—
1356#41—2921no—
1357#41—2921no—
1358#41—2922no—
1359#41—2924no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—21no—
1364C2×Q8—2921no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8—1462no—
1370C2×Q8C23×D7311yescharacteristic
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—22no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—41no—
1377C2×D4—2924no—
1378C2×D4—2921no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—731no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1462no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4D4×D7311yescharacteristic
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—5842no—
1405C22×C4—5842no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—41no—
1433Q16—1462no—
1434SD16—22no—
1435SD16—41no—
1436SD16—2921no—
1437SD16—734no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—2921no—
1443D8—2921no—
1444D8—2921no—
1445D8—1462no—
1446D8—1462no—
1447D8—1462no—
1448M16—41no—
1449M16—1462no—
1450C2×C8—41no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4D4×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4D4×D7311yescharacteristic
1541C22⋊C4D4×D7311yescharacteristic
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—42no—
1566C23—42no—
1567C23—81no—
1568C23—2922no—
1569C23—2922no—
1570C23—5841no—
1571C23—731no—
1572C23—1461no—
1573C23—1461no—
1574C23—1461no—
1575C23C2×D4×D7311yescharacteristic
1576C23C2×D4×D7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—42no—
1582Q8—2921no—
1583Q8—2922no—
1584Q8—5841no—
1585Q8—732no—
1586Q8—1461no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—41no—
1591D4—42no—
1592D4—42no—
1593D4—81no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—1462no—
1609D4—1462no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4#41×D7312yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—42no—
1628C2×C4—81no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—2921no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2921no—
1640C2×C4—2921no—
1641C2×C4—2921no—
1642C2×C4—2921no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—1462no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—732no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—22no—
1684C22—21no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—84no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—5844no—
1702C22—732no—
1703C22—1461no—
1704C22—1461no—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—2921no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—1461no—
1721C4—1461no—
1722C4—1461no—
1723C4—1462no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942211yescharacteristic
1730C2—41no—
1731C2—41no—
1732C2—42no—
1733C2—81no—
1734C2—5841no—
1735C2—5841no—
1736C2—5841no—
1737C2—1462no—
1738C2#2262341511yescharacteristic
1739C2#575×D7311yescharacteristic
1740C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3311C2
socleC22×C73C23×D4
hypercenter#3311D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #22623536C2semidirect
2. #22623523C2semidirect
3. #22623018C2semidirect
4. #22622869C2semidirect
5. #22622698C2semidirect
6. #22622685C2semidirect
7. #22622476C2semidirect
8. #22622409C2semidirect
9. #22622326C2semidirect
10. #22622073C2semidirect
11. #22622037C2semidirect
12. #22621939C2semidirect
13. #22621828C2semidirect
14. #22621782C2semidirect
15. #22621636C2semidirect
16. #22621467C2semidirect
17. #22621424C2semidirect
18. #22620661C2semidirect
19. #22620632C2semidirect
20. #22620622C2semidirect
21. #22620101C2semidirect
22. #22620077C2semidirect
23. #22620070C2semidirect
24. #22620043C2semidirect
25. #22620041C2semidirect
26. #22620024C2semidirect
27. #22618941C2semidirect
28. #22618735C2semidirect
29. #22618727C2semidirect
30. #440×D73C2semidirect
31. C73×#3311C2semidirect
35. #17989322C22semidirect
38. #17989312C22semidirect
47. #17989281C22semidirect
51. #17989258C22semidirect
53. #17989247C22semidirect
57. #17989138C22semidirect
61. #17989123C22semidirect
62. #17989123C22semidirect
71. #17989055C22semidirect
72. #17989055C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988987C22semidirect
81. #17988977C22semidirect
83. #17988972C22semidirect
84. #17988952C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988943C22semidirect
89. #17988925C22semidirect
90. #17988921C22semidirect
91. #17988915C22semidirect
92. #17988912C22semidirect
94. #17988911C22semidirect
95. #17988907C22semidirect
96. #17988907C22semidirect
98. #17988901C22semidirect
99. #17988897C22semidirect
100. #17988896C22semidirect
101. #17988895C22semidirect
102. #17988894C22semidirect
103. #17988890C22semidirect
106. #17988885C22semidirect
107. #17988874C22semidirect
108. #17988871C22semidirect
109. #17988866C22semidirect
112. #17988835C22semidirect
113. #17988823C22semidirect
116. #17988821C22semidirect
117. #17988819C22semidirect
118. #17988819C22semidirect
119. #17988818C22semidirect
120. #17988812C22semidirect
121. #17988811C22semidirect
122. #17988806C22semidirect
123. #17988805C22semidirect
126. #17988804C22semidirect
128. #17988783C22semidirect
131. #17988747C22semidirect
132. #17988741C22semidirect
134. #17988734C22semidirect
136. #17988730C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988698C22semidirect
144. #17988698C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
150. #17988694C22semidirect
151. #17988691C22semidirect
152. #17988691C22semidirect
153. #17988690C22semidirect
154. #17988690C22semidirect
155. #17988690C22semidirect
156. #17988690C22semidirect
157. #17988689C22semidirect
159. #17988688C22semidirect
161. #17988686C22semidirect
162. #17988685C22semidirect
165. #17988684C22semidirect
167. #17988678C22semidirect
169. #17988667C22semidirect
171. #17988659C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. #17988623C22semidirect
180. #107×D73C22semidirect
181. #17988589C22semidirect
182. #17988584C22semidirect
183. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #556×C73C22semidirect
190. #489×C73C22semidirect
191. #485×C73C22semidirect
192. #482×C73C22semidirect
194. #470×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
200. #435×C73C22semidirect
546. #11924016#41semidirect
882. #3311D73semidirect
902. C73#61456semidirect
911. #556C2×D73semidirect
960. #489C2×D73semidirect
964. #485C2×D73semidirect
970. #482C2×D73semidirect
987. #470C2×D73semidirect
998. #465C2×D73semidirect
1002. #464C2×D73semidirect
1056. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235362
#226235232
#226230182
#226228692
#226226982
#226226852
#226224762
#226224092
#226223262
#226220732
#226220372
#226219392
#226218282
#226217822
#226216362
#226214672
#226214242
#226206612
#226206322
#226206222
#226201012
#226200772
#226200702
#226200432
#226200412
#226200242
#226189412
#226187352
#226187272
#440×D732
C73×#33112
#6145673