Finite Group Databasebeta

← #33979365

Subgroups — #33979365

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624521C211yesmaximal, characteristic, complemented
2#22623882C211yesmaximal, characteristic, complemented
3#22623017C211yesmaximal, characteristic, complemented
4#22623002C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622647C211yesmaximal, characteristic, complemented
7#22622120C211yesmaximal, characteristic, complemented
8#22622092C211yesmaximal, characteristic, complemented
9#22622000C211yesmaximal, characteristic, complemented
10#22621965C211yesmaximal, characteristic, complemented
11#22621879C211yesmaximal, characteristic, complemented
12#22621861C211yesmaximal, characteristic, complemented
13#22621642C211yesmaximal, characteristic, complemented
14#22621617C211yesmaximal, characteristic, complemented
15#22621469C211yesmaximal, characteristic, complemented
16#22621458C211yesmaximal, characteristic, complemented
17#22621430C211yesmaximal, characteristic, complemented
18#22621409C211yesmaximal, characteristic, complemented
19#22621361C211yesmaximal, characteristic, complemented
20#22621336C211yesmaximal, characteristic, complemented
21#22621256C211yesmaximal, characteristic, complemented
22#22621042C211yesmaximal, characteristic, complemented
23#22621022C211yesmaximal, characteristic, complemented
24#22620924C211yesmaximal, characteristic, complemented
25#22620185C211yesmaximal, characteristic, complemented
26#22620045C211yesmaximal, characteristic, complemented
27#22619443C211yesmaximal, characteristic, complemented
28#22619429C211yesmaximal, characteristic, complemented
29#22619379C211yesmaximal, characteristic, complemented
30#22619065C211yesmaximal, characteristic, complemented
31C73×#3122C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556610C2211yescharacteristic
35C2×#14556610C2211yescharacteristic, complemented
36C22×#11924016C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic
38#17989334—21no—
39#17989325—21no—
40#17989320C2211yescharacteristic, complemented
41#17989320C2211yescharacteristic, complemented
42#17989307C2211yescharacteristic, complemented
43#17989305C2211yescharacteristic
44#17989302C2211yescharacteristic
45#17989300C2211yescharacteristic, complemented
46#17989289—21no—
47#17989266—21no—
48#17989263—21no—
49#17989260—21no—
50#17989255C2211yescharacteristic, complemented
51D4×Dic146C2211yescharacteristic, complemented
52#17989246—21no—
53#17989243C2211yescharacteristic
54#17989243C2211yescharacteristic, complemented
55#17989241C2211yescharacteristic, complemented
56#17989234C2211yescharacteristic
57#17989232C2211yescharacteristic
58#17989232C2211yescharacteristic, complemented
59#17989231C2211yescharacteristic, complemented
60#17989227—21no—
61D4×C22⋊D73C2211yescharacteristic
62#17989208C2211yescharacteristic, complemented
63#17989202C2211yescharacteristic
64#17989200C2211yescharacteristic, complemented
65#17989190—21no—
66#17989181—21no—
67#17989175—21no—
68#17989174—21no—
69#17989173—21no—
70#17989170—21no—
71#17989163C2211yescharacteristic, complemented
72#17989150C2211yescharacteristic, complemented
73#17989135C2211yescharacteristic, complemented
74#17989134C2211yescharacteristic, complemented
75#17989122C2211yescharacteristic, complemented
76#17989117—21no—
77#17989115C2211yescharacteristic
78C2×#14556577—21no—
79#17989059C2211yescharacteristic
80C4×#11924027C2211yescharacteristic, complemented
81#17988981C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988975C2211yescharacteristic, complemented
84#17988975C2211yescharacteristic, complemented
85#17988971C2211yescharacteristic, complemented
86#17988970C2211yescharacteristic, complemented
87#17988947C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988938C2211yescharacteristic, complemented
92#17988932C2211yescharacteristic, complemented
93#17988931C2211yescharacteristic, complemented
94#17988930C2211yescharacteristic, complemented
95#17988930C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988891C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988877C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988867C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic
107#17988832C2211yescharacteristic
108#17988831C2211yescharacteristic, complemented
109#17988829C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic
115#17988815C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic
124#17988802C2211yescharacteristic
125#17988802C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988802C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic
131#17988800C2211yescharacteristic
132#17988800C2211yescharacteristic, complemented
133#17988798C2211yescharacteristic, complemented
134#17988793C2211yescharacteristic, complemented
135#17988792C2211yescharacteristic, complemented
136#17988792C2211yescharacteristic, complemented
137#17988792C2211yescharacteristic, complemented
138#17988792C2211yescharacteristic, complemented
139#17988786C2211yescharacteristic, complemented
140#17988784C2211yescharacteristic, complemented
141#17988781C2211yescharacteristic
142#17988781C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic
144#17988779C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic, complemented
146#17988750C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988745C2211yescharacteristic, complemented
149#17988739C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988739C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic
153#17988733C2211yescharacteristic
154#17988733C2211yescharacteristic, complemented
155#17988733C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic
157#17988729C2211yescharacteristic, complemented
158#17988729C2211yescharacteristic, complemented
159#17988728C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic
161#17988717C2211yescharacteristic, complemented
162#17988715C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic
164#17988693C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166#17988686C2211yescharacteristic, complemented
167#17988684C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic, complemented
170#17988674C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic
172#17988661C2211yescharacteristic, complemented
173#17988660C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic
175C8×D292C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988643C2211yescharacteristic, complemented
179#17988614C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988595C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic, complemented
184#17988581C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic, complemented
189#518×C73C2211yescharacteristic, complemented
190#482×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#459×C73C2211yescharacteristic
195#459×C73C2211yescharacteristic, complemented
196#447×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200C4×D8×C73C2211yescharacteristic
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C22×Dic146—21no—
210C22×Dic146C2311yescharacteristic
211C22×C22⋊D73—21no—
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214#14556617—42no—
215#14556615—42no—
216#14556610—42no—
217#14556610—42no—
218C2×Dic292C2311yescharacteristic
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924016—42no—
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239D8×D73—42no—
240C2×#11924012C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556591C2311yescharacteristic
247#14556591C2311yescharacteristic
248#14556591C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556587—21no—
252#14556587C2311yescharacteristic
253#14556587C2311yescharacteristic
254#14556586—21no—
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556586D411yescharacteristic
259#14556585—21no—
260#14556584—21no—
261#14556584—21no—
262#14556584—21no—
263#14556584—21no—
264#14556584D411yescharacteristic
265#14556582—21no—
266#14556582—21no—
267#14556581D411yescharacteristic
268#14556579—21no—
269#14556579C2311yescharacteristic
270#14556579C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556577D411yescharacteristic
288#14556576—21no—
289#14556576D411yescharacteristic
290#14556575—21no—
291#14556575—21no—
292#14556575—21no—
293#14556575—21no—
294#14556575—21no—
295#14556575—21no—
296#14556574—21no—
297#14556574—21no—
298#14556574—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556573—21no—
303#14556573D411yescharacteristic
304#14556572—21no—
305#14556571—21no—
306#14556571—21no—
307#14556571C2311yescharacteristic
308#14556571C2311yescharacteristic
309#14556571C2311yescharacteristic
310#14556571C2311yescharacteristic
311#14556570—21no—
312#14556570—21no—
313#14556570—21no—
314#14556570C2311yescharacteristic
315#14556569—21no—
316#14556569D411yescharacteristic
317#14556568—21no—
318#14556568—21no—
319#14556568—21no—
320#14556568—21no—
321#14556566C2311yescharacteristic
322#14556566C2311yescharacteristic
323#14556565—21no—
324#14556565—21no—
325#14556565—21no—
326#14556565—21no—
327#14556565C2311yescharacteristic
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564D411yescharacteristic
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556562—21no—
340#14556562—21no—
341#14556562—21no—
342#14556562C2311yescharacteristic
343#14556562C2311yescharacteristic
344#14556561—21no—
345#14556561—21no—
346#14556560—21no—
347#14556560—21no—
348#14556559—21no—
349#14556559—21no—
350#14556559—21no—
351#14556559—21no—
352C4×Dic146—21no—
353C4×Dic146C2311yescharacteristic
354C4×Dic146C2311yescharacteristic
355#14556556C2311yescharacteristic
356#14556556C2311yescharacteristic
357#14556556C2311yescharacteristic
358#14556556C2311yescharacteristic
359C4×D292C2311yescharacteristic
360C4×D292C2311yescharacteristic
361D4×Dic73—21no—
362D4×Dic73—21no—
363D4×Dic73—21no—
364D4×Dic73—21no—
365D4×Dic73C2311yescharacteristic
366D4×Dic73C2311yescharacteristic
367#14556553—21no—
368#14556553C2311yescharacteristic
369#14556553C2311yescharacteristic
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556550—21no—
381#14556550—21no—
382#14556549—21no—
383#14556549C2311yescharacteristic
384#14556549C2311yescharacteristic
385#14556548—21no—
386#14556548C2311yescharacteristic
387#14556547—21no—
388C2×C4⋊Dic73—21no—
389C2×C22⋊Dic73—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C2×#11924005—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C2×C4×Dic73—21no—
396C42×D73C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450#121×C73—21no—
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463#117×C73C2311yescharacteristic
464C2×C22⋊C4×C73—21no—
465C2×C22⋊C4×C73—21no—
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924028—82no—
489#11924027—22no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—41no—
495#11924027—41no—
496#11924027—41no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146—41no—
502C2×Dic146—41no—
503C2×Dic146—82no—
504C2×Dic146C2×D411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×Dic146C2411yescharacteristic
507C2×Dic146C2411yescharacteristic
508C2×Dic146C2411yescharacteristic
509C2×D292—21no—
510C2×D292—21no—
511C2×D292C2×D411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
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⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—82no—
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—22no—
532D4×D73—41no—
533D4×D73—41no—
534D4×D73—41no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550Dic292—41no—
551Dic292—41no—
552Dic292—41no—
553#11924017—41no—
554#11924017—41no—
555#11924017—41no—
556#11924017—41no—
557#11924016—22no—
558#11924016—22no—
559#11924016—22no—
560#11924016—41no—
561#11924016—41no—
562#11924016—41no—
563#11924016—41no—
564#11924016—41no—
565D584—41no—
566#11924013—22no—
567#11924013—41no—
568#11924013—41no—
569#11924013—41no—
570#11924012—41no—
571#11924011—41no—
572C2×#10596831—41no—
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C8×D73—41no—
578C8×D73—41no—
579C8×D73—41no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73C2×D411yescharacteristic
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C24×C73—21no—
658C2×D4×C73—22no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—41no—
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73C2411yescharacteristic
676D8×C73—22no—
677D8×C73—22no—
678D8×C73—41no—
679D8×C73—41no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2×D411yescharacteristic
687C4⋊C4×C73C2×D411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73C2×D411yescharacteristic
702C22⋊C4×C73C2×D411yescharacteristic
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—42no—
732D4×C73—81no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73H(5,𝔽2)12yes—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—81no—
744C2×C4×C73—81no—
745C2×C4×C73—81no—
746C2×C4×C73—81no—
747C2×C4×C73—81no—
748C2×C4×C73—81no—
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C2511yescharacteristic
755C22⋊D73—41no—
756C22⋊D73—41no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—42no—
778C2×Dic73—42no—
779C2×Dic73—81no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790D292—21no—
791D292—21no—
792D292—21no—
793D292—21no—
794D292—41no—
795D292—81no—
796D292—81no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—41no—
802C4×D73—41no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—41no—
816Dic146—42no—
817Dic146—81no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—22no—
831C22×C73—21no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—162no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—21no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62011—731nomaximal, Sylow
883C2×C73—42no—
884C2×C73—41no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—41no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3514—731no—
897#3403—731no—
898#3401—731no—
899#3373—731no—
900#3367—731no—
901#3321—731no—
902#3319—731no—
903#3313—731no—
904#3311—731no—
905#3305—731no—
906#3303—731no—
907#3282—731no—
908#3280—731no—
909#3268—731no—
910#3267—731no—
911#3265—731no—
912#3264—731no—
913#3258—731no—
914#3257—731no—
915#3247—731no—
916#3225—731no—
917#3224—731no—
918#3214—731no—
919#3123—731no—
920#3122D7311yescharacteristic, complemented
921#3111—731no—
922#3042—731no—
923#3041—731no—
924#3035—731no—
925#2992—731no—
926C73#6201111yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×#135—731no—
930C2×#135—731no—
931C22×SD16—731no—
932C22×D8—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#556—731no—
939#555—731no—
940#555—731no—
941#553—1461no—
942#551—1461no—
943#551—1461no—
944#551—1461no—
945#550—731no—
946D4×Q8—731no—
947#548—731no—
948#548—731no—
949#548—1461no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#542—731no—
959#541—731no—
960#540—1461no—
961#540C2×D7311yescharacteristic, complemented
962#539—1461no—
963#538—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#532—731no—
971#529—731no—
972#529—731no—
973#529—1461no—
974C2×#124—1461no—
975#518—731no—
976#518C2×D7311yescharacteristic, complemented
977C4×#41—731no—
978#497—731no—
979#496—731no—
980#496—731no—
981#496—731no—
982#495—731no—
983#495—731no—
984#489—731no—
985#489—731no—
986#489—731no—
987#489—731no—
988#487—731no—
989#486—731no—
990#485—731no—
991#485—731no—
992#485—731no—
993#482—731no—
994#482C2×D7311yescharacteristic, complemented
995#482C2×D7311yescharacteristic, complemented
996#479—731no—
997#478—731no—
998#478C2×D7311yescharacteristic, complemented
999#478C2×D7311yescharacteristic, complemented
1000#477—731no—
1001#477—731no—
1002#476—731no—
1003#476—731no—
1004#475—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#468—731no—
1009#468—731no—
1010#467—731no—
1011#466—731no—
1012#466—731no—
1013#466—731no—
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460—731no—
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459C2×D7311yescharacteristic
1047#459C2×D7311yescharacteristic, complemented
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#451—731no—
1052#450—731no—
1053#450—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449—731no—
1062#448—731no—
1063#447—731no—
1064#447C2×D7311yescharacteristic
1065#447C2×D7311yescharacteristic, complemented
1066#446—731no—
1067#446—731no—
1068#442—731no—
1069#442C2×D7311yescharacteristic, complemented
1070#442C2×D7311yescharacteristic, complemented
1071#441—731no—
1072#440—731no—
1073#440—731no—
1074#440—731no—
1075#440—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078C4×D8C2×D7311yescharacteristic
1079C4×D8C2×D7311yescharacteristic, complemented
1080#435—731no—
1081#435—731no—
1082#435—731no—
1083#435—731no—
1084C8×D4—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433C2×D7311yescharacteristic, complemented
1088#432—731no—
1089#424—731no—
1090#424—731no—
1091C2×C4⋊C8—731no—
1092#419—731no—
1093#418—731no—
1094#416—731no—
1095#416—731no—
1096#416—731no—
1097#416—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—1461no—
1104C22×Q8—731no—
1105C22×Q8—1461no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4C22×D7311yescharacteristic
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112#135—2922no—
1113#135—2922no—
1114C2×Q16—731no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×SD16—2922no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×D8—2922no—
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8C22×D7311yescharacteristic
1137C2×D8C22×D7311yescharacteristic
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151#127—731no—
1152#127—731no—
1153#127—1461no—
1154#127C22×D7311yescharacteristic
1155#126—731no—
1156#126—731no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#125—731no—
1167#125—1461no—
1168#125—1461no—
1169#125C22×D7311yescharacteristic
1170#124—731no—
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#123—21no—
1191#123—21no—
1192#123—731no—
1193#123—731no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—731no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8—1461no—
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—731no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×Q8—1461no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4C22×D7311yescharacteristic
1291C4×D4C22×D7311yescharacteristic
1292C4×D4C22×D7311yescharacteristic
1293C4×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304#117C22×D7311yescharacteristic
1305#117C22×D7311yescharacteristic
1306C2×C4⋊C4—1461no—
1307C2×C22⋊C4—21no—
1308C2×C22⋊C4—21no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C42—731no—
1316C2×C42—1461no—
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106C22×D7311yescharacteristic
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102C22×D7311yescharacteristic
1360#102C22×D7311yescharacteristic
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97—731no—
1375#97—731no—
1376#97C22×D7311yescharacteristic
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—2921no—
1383#41—2921no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—5842no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—731no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8—1461no—
1404C2×Q8—1461no—
1405C2×D4—22no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—41no—
1412C2×D4—2921no—
1413C2×D4—2921no—
1414C2×D4—2921no—
1415C2×D4—5842no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1462no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4C23×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—2921no—
1468SD16—2921no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
1486D8—2921no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490C2×C8—2921no—
1491C2×C8—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4D4×D7311yescharacteristic
1532C4⋊C4D4×D7311yescharacteristic
1533C4⋊C4C23×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C4⋊C4C23×D7311yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4D4×D7311yescharacteristic
1586C22⋊C4D4×D7311yescharacteristic
1587C42—21no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—2922no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—5841no—
1614C23—731no—
1615C23—731no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—2921no—
1620Q8—2922no—
1621Q8—5841no—
1622Q8—5841no—
1623Q8—5841no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631Q8—1461no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—42no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—2921no—
1645D4—2922no—
1646D4—2922no—
1647D4—2921no—
1648D4—2921no—
1649D4—2922no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666D4—1461no—
1667D4#1455663712yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—2921no—
1681C2×C4—2921no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—11682no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663711yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—2921no—
1783C2—2921no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359211yescharacteristic
1787C2#2262469911yescharacteristic
1788C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3122C2
socleC22×C73C23×D4
hypercenter#3122D73
hypocenterC73#62011
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #22624521C2semidirect
2. #22623882C2semidirect
3. #22623017C2semidirect
4. #22623002C2semidirect
5. #22622724C2semidirect
6. #22622647C2semidirect
7. #22622120C2semidirect
8. #22622092C2semidirect
9. #22622000C2semidirect
10. #22621965C2semidirect
11. #22621879C2semidirect
12. #22621861C2semidirect
13. #22621642C2semidirect
14. #22621617C2semidirect
15. #22621469C2semidirect
16. #22621458C2semidirect
17. #22621430C2semidirect
18. #22621409C2semidirect
19. #22621361C2semidirect
20. #22621336C2semidirect
21. #22621256C2semidirect
22. #22621042C2semidirect
23. #22621022C2semidirect
24. #22620924C2semidirect
25. #22620185C2semidirect
26. #22620045C2semidirect
27. #22619443C2semidirect
28. #22619429C2semidirect
29. #22619379C2semidirect
30. #22619065C2semidirect
31. C73×#3122C2semidirect
35. C2×#14556610C22semidirect
36. C22×#11924016C22semidirect
40. #17989320C22semidirect
41. #17989320C22semidirect
42. #17989307C22semidirect
45. #17989300C22semidirect
50. #17989255C22semidirect
51. D4×Dic146C22semidirect
54. #17989243C22semidirect
55. #17989241C22semidirect
58. #17989232C22semidirect
59. #17989231C22semidirect
62. #17989208C22semidirect
64. #17989200C22semidirect
71. #17989163C22semidirect
72. #17989150C22semidirect
73. #17989135C22semidirect
74. #17989134C22semidirect
75. #17989122C22semidirect
80. C4×#11924027C22semidirect
81. #17988981C22semidirect
83. #17988975C22semidirect
84. #17988975C22semidirect
85. #17988971C22semidirect
86. #17988970C22semidirect
87. #17988947C22semidirect
88. #17988945C22semidirect
89. #17988945C22semidirect
90. #17988945C22semidirect
91. #17988938C22semidirect
92. #17988932C22semidirect
93. #17988931C22semidirect
94. #17988930C22semidirect
95. #17988930C22semidirect
96. #17988913C22semidirect
97. #17988891C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988881C22semidirect
101. #17988877C22semidirect
102. #17988876C22semidirect
103. #17988871C22semidirect
104. #17988867C22semidirect
105. #17988846C22semidirect
108. #17988831C22semidirect
109. #17988829C22semidirect
110. #17988824C22semidirect
111. #17988822C22semidirect
112. #17988821C22semidirect
113. #17988817C22semidirect
115. #17988815C22semidirect
116. #17988814C22semidirect
117. #17988810C22semidirect
118. #17988808C22semidirect
119. #17988808C22semidirect
120. #17988808C22semidirect
121. #17988808C22semidirect
122. #17988803C22semidirect
125. #17988802C22semidirect
126. #17988802C22semidirect
127. #17988802C22semidirect
128. #17988802C22semidirect
129. #17988801C22semidirect
132. #17988800C22semidirect
133. #17988798C22semidirect
134. #17988793C22semidirect
135. #17988792C22semidirect
136. #17988792C22semidirect
137. #17988792C22semidirect
138. #17988792C22semidirect
139. #17988786C22semidirect
140. #17988784C22semidirect
142. #17988781C22semidirect
144. #17988779C22semidirect
145. #17988751C22semidirect
146. #17988750C22semidirect
147. #17988750C22semidirect
148. #17988745C22semidirect
151. #17988739C22semidirect
154. #17988733C22semidirect
155. #17988733C22semidirect
157. #17988729C22semidirect
158. #17988729C22semidirect
159. #17988728C22semidirect
161. #17988717C22semidirect
162. #17988715C22semidirect
164. #17988693C22semidirect
165. #17988686C22semidirect
166. #17988686C22semidirect
167. #17988684C22semidirect
168. #17988684C22semidirect
169. #17988678C22semidirect
170. #17988674C22semidirect
172. #17988661C22semidirect
173. #17988660C22semidirect
175. C8×D292C22semidirect
176. #17988650C22semidirect
177. #17988647C22semidirect
178. #17988643C22semidirect
179. #17988614C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988595C22semidirect
183. #17988590C22semidirect
184. #17988581C22semidirect
185. #17988580C22semidirect
186. #17988580C22semidirect
187. #17988580C22semidirect
188. #540×C73C22semidirect
189. #518×C73C22semidirect
190. #482×C73C22semidirect
191. #482×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
195. #459×C73C22semidirect
197. #447×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
920. #3122D73semidirect
926. C73#62011semidirect
961. #540C2×D73semidirect
976. #518C2×D73semidirect
994. #482C2×D73semidirect
995. #482C2×D73semidirect
998. #478C2×D73semidirect
999. #478C2×D73semidirect
1047. #459C2×D73semidirect
1065. #447C2×D73semidirect
1069. #442C2×D73semidirect
1070. #442C2×D73semidirect
1079. C4×D8C2×D73semidirect
1087. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245212
#226238822
#226230172
#226230022
#226227242
#226226472
#226221202
#226220922
#226220002
#226219652
#226218792
#226218612
#226216422
#226216172
#226214692
#226214582
#226214302
#226214092
#226213612
#226213362
#226212562
#226210422
#226210222
#226209242
#226201852
#226200452
#226194432
#226194292
#226193792
#226190652
C73×#31222
#6201173