Finite Group Databasebeta

← #33968029

Subgroups — #33968029

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#22623538C211yesmaximal, characteristic, complemented
2#22623523C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22622871C211yesmaximal, characteristic, complemented
5#22622706C211yesmaximal, characteristic, complemented
6#22622687C211yesmaximal, characteristic, complemented
7#22622417C211yesmaximal, characteristic, complemented
8#22622333C211yesmaximal, characteristic, complemented
9#22622075C211yesmaximal, characteristic, complemented
10#22622045C211yesmaximal, characteristic, complemented
11#22621961C211yesmaximal, characteristic, complemented
12#22621931C211yesmaximal, characteristic, complemented
13#22621836C211yesmaximal, characteristic, complemented
14#22621784C211yesmaximal, characteristic, complemented
15#22621645C211yesmaximal, characteristic, complemented
16#22621476C211yesmaximal, characteristic, complemented
17#22621433C211yesmaximal, characteristic, complemented
18#22620653C211yesmaximal, characteristic, complemented
19#22620631C211yesmaximal, characteristic, complemented
20#22620622C211yesmaximal, characteristic, complemented
21#22620107C211yesmaximal, characteristic, complemented
22#22620077C211yesmaximal, characteristic, complemented
23#22620072C211yesmaximal, characteristic, complemented
24#22620043C211yesmaximal, characteristic, complemented
25#22620035C211yesmaximal, characteristic, complemented
26#22620024C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618738C211yesmaximal, characteristic, complemented
29#22618731C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3350C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556613C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989320C2211yescharacteristic
37#17989319—21no—
38#17989312C2211yescharacteristic, complemented
39#17989309—21no—
40#17989293C2211yescharacteristic
41#17989292C2211yescharacteristic
42#17989288—21no—
43#17989288—21no—
44#17989282—21no—
45#17989281C2211yescharacteristic
46#17989281C2211yescharacteristic
47#17989281C2211yescharacteristic, complemented
48#17989266—21no—
49#17989262—21no—
50#17989258C2211yescharacteristic, complemented
51#17989247C2211yescharacteristic
52#17989247C2211yescharacteristic, complemented
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989138C2211yescharacteristic, complemented
58#17989136—21no—
59#17989132C2211yescharacteristic
60#17989123C2211yescharacteristic, complemented
61#17989123C2211yescharacteristic, complemented
62#17989122C2211yescharacteristic
63#17989120—21no—
64#17989120—21no—
65#17989120—21no—
66#17989118C2211yescharacteristic
67#17989097—21no—
68#17989095—21no—
69C4×#11924029—21no—
70#17989055C2211yescharacteristic
71#17989055C2211yescharacteristic, complemented
72#17989055C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic
82#17988968C2211yescharacteristic, complemented
83#17988953C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic
85#17988949C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988911C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic
94#17988907C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic
101#17988886C2211yescharacteristic
102#17988886C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988874C2211yescharacteristic
105#17988871C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988838C2211yescharacteristic
109#17988833C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic
111#17988824C2211yescharacteristic
112#17988823C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988818C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic
122#17988805C2211yescharacteristic
123#17988805C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic
126#17988783C2211yescharacteristic
127#17988782C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic
129#17988751C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic
131#17988744C2211yescharacteristic, complemented
132#17988737C2211yescharacteristic
133#17988734C2211yescharacteristic
134#17988734C2211yescharacteristic, complemented
135#17988730C2211yescharacteristic
136#17988730C2211yescharacteristic, complemented
137#17988727C2211yescharacteristic
138#17988723C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic
145#17988698C2211yescharacteristic
146#17988698C2211yescharacteristic, complemented
147#17988698C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988693C2211yescharacteristic, complemented
151#17988693C2211yescharacteristic, complemented
152#17988691C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic
154#17988690C2211yescharacteristic, complemented
155#17988689C2211yescharacteristic
156#17988688C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic
159#17988686C2211yescharacteristic
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic
165#17988684C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic
167#17988674C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic
169#17988669C2211yescharacteristic, 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#107×D73C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic
180#17988586C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic
182#17988581C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic
194#482×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#476×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027D411yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556619—24no—
216#14556613—24no—
217C2×Dic292C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226SD16×D73—24no—
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589—21no—
239#14556588C2311yescharacteristic
240#14556587—21no—
241#14556587C2311yescharacteristic
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556585—21no—
246#14556585—21no—
247#14556585—21no—
248#14556584—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556580—21no—
256#14556580C2311yescharacteristic
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556575—21no—
270#14556575—21no—
271#14556574—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556572—21no—
278#14556571—21no—
279#14556571C2311yescharacteristic
280#14556570—21no—
281#14556570C2311yescharacteristic
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556566—21no—
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556566C2311yescharacteristic
291#14556565C2311yescharacteristic
292#14556565C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556562—21no—
305#14556561—21no—
306#14556559—21no—
307#14556559—21no—
308#14556559—21no—
309Q8×Dic73—21no—
310Q8×Dic73C2311yescharacteristic
311C4×Dic146—21no—
312C4×Dic146C2311yescharacteristic
313C4×Dic146C2311yescharacteristic
314#14556556—21no—
315#14556556D411yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321C4×D292—21no—
322C4×D292—21no—
323C4×D292—21no—
324C4×D292—21no—
325C4×D292C2311yescharacteristic
326D4×Dic73—21no—
327D4×Dic73D411yescharacteristic
328D4×Dic73C2311yescharacteristic
329#14556553—21no—
330#14556553—21no—
331#14556553—21no—
332#14556553—21no—
333#14556553—21no—
334#14556553—21no—
335#14556553—21no—
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73C2311yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556549—21no—
363#14556549—21no—
364#14556549—21no—
365#14556549D411yescharacteristic
366#14556548—21no—
367#14556548—21no—
368#14556548—21no—
369#14556547—21no—
370#14556547D411yescharacteristic
371#14556547D411yescharacteristic
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73C2311yescharacteristic
381C2×C4×Dic73C2311yescharacteristic
382C42×D73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#126×C73—21no—
444#126×C73—21no—
445#125×C73C2311yescharacteristic
446#124×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—44no—
484#11924028—22no—
485#11924028—22no—
486#11924028—22no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924027—42no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—41no—
499C2×D292—22no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—41no—
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522D4×D73—22no—
523D4×D73—41no—
524D4×D73—44no—
525C22×Dic73—21no—
526C22×Dic73C2×D411yescharacteristic
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
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—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—82no—
547C2×C4×D73—82no—
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551Dic292—22no—
552#11924018—41no—
553#11924017—22no—
554#11924017—22no—
555#11924017—41no—
556#11924017#4114yescomplemented
557#11924016—22no—
558#11924015—22no—
559#11924015—41no—
560D584—22no—
561D584—22no—
562D584—22no—
563D584—41no—
564#11924013—41no—
565#11924013—41no—
566#11924012—41no—
567C2×#10596831—41no—
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C8×D73—22no—
573C8×D73—41no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73C2×D411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73C2×D411yescharacteristic
604C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73—21no—
647C2×Q8×C73C2411yescharacteristic
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73C2×D411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656SD16×C73—22no—
657M16×C73—22no—
658C2×C8×C73—22no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73C2×D411yescharacteristic
686C22⋊C4×C73C2×D411yescharacteristic
687C42×C73—21no—
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—42no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—41no—
712D4×C73—42no—
713D4×C73—81no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
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—81no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C2511yescharacteristic
732C22⋊D73—22no—
733C22⋊D73—22no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—41no—
748C2×Dic73—41no—
749C2×Dic73—41no—
750C2×Dic73—41no—
751C2×Dic73—42no—
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759D292—21no—
760D292—21no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—42no—
767D292—42no—
768D292—42no—
769D292—42no—
770D292—42no—
771D292—81no—
772D292C2×#4112yes—
773C4×D73—22no—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—41no—
777C4×D73—42no—
778C4×D73—42no—
779C4×D73—42no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—81no—
787C4×D73—81no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—41no—
797Dic146—42no—
798Dic146—81no—
799Dic146C2×#4112yes—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—22no—
821C2×D73—41no—
822C2×D73—41no—
823C2×D73—41no—
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—84no—
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×C73—41no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—22no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—41no—
861C2×C73—41no—
862C2×C73—81no—
863C2×C73D4×#4111yescharacteristic
864C2×C73C2×#57511yescharacteristic
865C2×C73#358511yescharacteristic
866D73—22no—
867D73—42no—
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#3350D7311yescharacteristic, complemented
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
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—1461no—
918#553—1461no—
919#553—1461no—
920#553C2×D7311yescharacteristic
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
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#501C2×D7311yescharacteristic, complemented
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485C2×D7311yescharacteristic, complemented
965#484—731no—
966#483C2×D7311yescharacteristic, complemented
967#482—731no—
968#482—731no—
969#482C2×D7311yescharacteristic
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#479C2×D7311yescharacteristic, complemented
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476C2×D7311yescharacteristic, complemented
985#475—731no—
986#474—731no—
987#470—731no—
988#469—731no—
989#468—731no—
990#468C2×D7311yescharacteristic
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#464—731no—
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#452—731no—
1013#451—731no—
1014#450—731no—
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, complemented
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#428C2×D7311yescharacteristic, complemented
1063#427C2×D7311yescharacteristic, complemented
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
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—731no—
1078C2×#41—1461no—
1079C2×#41—1461no—
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—1464no—
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—21no—
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—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—21no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—731no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124—1461no—
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—731no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
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—1461no—
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#121C22×D7311yescharacteristic
1190#121C22×D7311yescharacteristic
1191#120—1461no—
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—21no—
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—731no—
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—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117C22×D7311yescharacteristic
1264#117C22×D7311yescharacteristic
1265#117C22×D7311yescharacteristic
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4C22×D7311yescharacteristic
1271C2×C22⋊C4—1461no—
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#107C22×D7311yescharacteristic
1287#107C22×D7311yescharacteristic
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106C22×D7311yescharacteristic
1294#106C22×D7311yescharacteristic
1295#106C22×D7311yescharacteristic
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#103—731no—
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#102—731no—
1331#102—731no—
1332#102—731no—
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—1461no—
1353C24—1461no—
1354#41—2921no—
1355#41—2921no—
1356#41—2921no—
1357#41—2922no—
1358#41—2924no—
1359#41—5842no—
1360#41—1462no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—21no—
1364C2×Q8—2921no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—1461no—
1369C2×Q8—1461no—
1370C2×Q8—1462no—
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—2921no—
1375C2×D4—2924no—
1376C2×D4—2921no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1462no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1462no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4D4×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—2921no—
1433Q16—1462no—
1434SD16—22no—
1435SD16—2921no—
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—22no—
1449M16—2921no—
1450C2×C8—22no—
1451C2×C8—2921no—
1452C2×C8—2921no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
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—21no—
1468C4⋊C4—21no—
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⋊C4D4×D7311yescharacteristic
1495C4⋊C4C23×D7311yescharacteristic
1496C4⋊C4C23×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—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—1461no—
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—21no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—2922no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—5841no—
1569C23—5841no—
1570C23—731no—
1571C23—1461no—
1572C23—1461no—
1573C23—1461no—
1574C23—1461no—
1575C23C2×D4×D7311yescharacteristic
1576C23C2×D4×D7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—42no—
1580Q8—2921no—
1581Q8—2922no—
1582Q8—5841no—
1583Q8—732no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8—1461no—
1587D4—21no—
1588D4—21no—
1589D4—41no—
1590D4—42no—
1591D4—81no—
1592D4—2922no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—732no—
1608D4—1462no—
1609D4—1462no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
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—21no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2921no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2921no—
1642C2×C4—2921no—
1643C2×C4—2921no—
1644C2×C4—2921no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—1462no—
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—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8#41×D7312yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—5844no—
1700C22—5844no—
1701C22—732no—
1702C22—1462no—
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—41no—
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#1798942411yescharacteristic
1730C2—41no—
1731C2—41no—
1732C2—81no—
1733C2—2922no—
1734C2—5841no—
1735C2—5841no—
1736C2—5841no—
1737C2—1462no—
1738C2#2262341811yescharacteristic
1739C2#575×D7311yescharacteristic
1740C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3350C2
socleC22×C73C23×D4
hypercenter#3350D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
1. #22623538C2semidirect
2. #22623523C2semidirect
3. #22623020C2semidirect
4. #22622871C2semidirect
5. #22622706C2semidirect
6. #22622687C2semidirect
7. #22622417C2semidirect
8. #22622333C2semidirect
9. #22622075C2semidirect
10. #22622045C2semidirect
11. #22621961C2semidirect
12. #22621931C2semidirect
13. #22621836C2semidirect
14. #22621784C2semidirect
15. #22621645C2semidirect
16. #22621476C2semidirect
17. #22621433C2semidirect
18. #22620653C2semidirect
19. #22620631C2semidirect
20. #22620622C2semidirect
21. #22620107C2semidirect
22. #22620077C2semidirect
23. #22620072C2semidirect
24. #22620043C2semidirect
25. #22620035C2semidirect
26. #22620024C2semidirect
27. #22618941C2semidirect
28. #22618738C2semidirect
29. #22618731C2semidirect
30. #440×D73C2semidirect
31. C73×#3350C2semidirect
35. #17989322C22semidirect
38. #17989312C22semidirect
47. #17989281C22semidirect
50. #17989258C22semidirect
52. #17989247C22semidirect
57. #17989138C22semidirect
60. #17989123C22semidirect
61. #17989123C22semidirect
71. #17989055C22semidirect
72. #17989055C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
80. #17988976C22semidirect
82. #17988968C22semidirect
83. #17988953C22semidirect
85. #17988949C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988940C22semidirect
89. #17988928C22semidirect
90. #17988924C22semidirect
91. #17988911C22semidirect
92. #17988911C22semidirect
94. #17988907C22semidirect
95. #17988907C22semidirect
96. #17988900C22semidirect
97. #17988897C22semidirect
98. #17988893C22semidirect
99. #17988891C22semidirect
102. #17988886C22semidirect
103. #17988886C22semidirect
105. #17988871C22semidirect
106. #17988866C22semidirect
107. #17988843C22semidirect
109. #17988833C22semidirect
112. #17988823C22semidirect
113. #17988821C22semidirect
114. #17988818C22semidirect
115. #17988817C22semidirect
116. #17988817C22semidirect
117. #17988812C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
123. #17988805C22semidirect
124. #17988801C22semidirect
127. #17988782C22semidirect
129. #17988751C22semidirect
131. #17988744C22semidirect
134. #17988734C22semidirect
136. #17988730C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
146. #17988698C22semidirect
147. #17988698C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
150. #17988693C22semidirect
151. #17988693C22semidirect
152. #17988691C22semidirect
154. #17988690C22semidirect
156. #17988688C22semidirect
157. #17988687C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
163. #17988686C22semidirect
165. #17988684C22semidirect
167. #17988674C22semidirect
169. #17988669C22semidirect
171. #17988659C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #107×D73C22semidirect
180. #17988586C22semidirect
182. #17988581C22semidirect
183. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #556×C73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #483×C73C22semidirect
194. #482×C73C22semidirect
195. #479×C73C22semidirect
196. #476×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. #427×C73C22semidirect
556. #11924017#41semidirect
877. #3350D73semidirect
902. C73#61456semidirect
911. #556C2×D73semidirect
952. #501C2×D73semidirect
964. #485C2×D73semidirect
966. #483C2×D73semidirect
970. #482C2×D73semidirect
978. #479C2×D73semidirect
984. #476C2×D73semidirect
998. #465C2×D73semidirect
1048. #440C2×D73semidirect
1056. #435C2×D73semidirect
1062. #428C2×D73semidirect
1063. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
#226235232
#226230202
#226228712
#226227062
#226226872
#226224172
#226223332
#226220752
#226220452
#226219612
#226219312
#226218362
#226217842
#226216452
#226214762
#226214332
#226206532
#226206312
#226206222
#226201072
#226200772
#226200722
#226200432
#226200352
#226200242
#226189412
#226187382
#226187312
#440×D732
C73×#33502
#6145673