Finite Group Databasebeta

← #33979777

Subgroups — #33979777

Order 18688.

1860 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#22624515C211yesmaximal, characteristic, complemented
2#22623869C211yesmaximal, characteristic, complemented
3#22622992C211yesmaximal, characteristic, complemented
4#22622945C211yesmaximal, characteristic, complemented
5#22622679C211yesmaximal, characteristic, complemented
6#22622577C211yesmaximal, characteristic, complemented
7#22622229C211yesmaximal, characteristic, complemented
8#22622198C211yesmaximal, characteristic, complemented
9#22622177C211yesmaximal, characteristic, complemented
10#22622056C211yesmaximal, characteristic, complemented
11#22621896C211yesmaximal, characteristic, complemented
12#22621785C211yesmaximal, characteristic, complemented
13#22621641C211yesmaximal, characteristic, complemented
14#22621550C211yesmaximal, characteristic, complemented
15#22621542C211yesmaximal, characteristic, complemented
16#22621542C211yesmaximal, characteristic, complemented
17#22621449C211yesmaximal, characteristic, complemented
18#22621425C211yesmaximal, characteristic, complemented
19#22621377C211yesmaximal, characteristic, complemented
20#22621338C211yesmaximal, characteristic, complemented
21#22621329C211yesmaximal, characteristic, complemented
22#22621037C211yesmaximal, characteristic, complemented
23#22620905C211yesmaximal, characteristic, complemented
24#22620172C211yesmaximal, characteristic, complemented
25#22620147C211yesmaximal, characteristic, complemented
26#22619977C211yesmaximal, characteristic, complemented
27#22619466C211yesmaximal, characteristic, complemented
28#22619441C211yesmaximal, characteristic, complemented
29#22619390C211yesmaximal, characteristic, complemented
30#22619074C211yesmaximal, characteristic, complemented
31C73×#3220C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic, complemented
38#17989332—21no—
39#17989326—21no—
40#17989323C2211yescharacteristic, complemented
41#17989323C2211yescharacteristic, complemented
42#17989306C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989289C2211yescharacteristic
45#17989284—21no—
46#17989280—21no—
47#17989275C2211yescharacteristic, complemented
48#17989268—21no—
49#17989265—21no—
50#17989260—21no—
51#17989257C2211yescharacteristic
52#17989245C2211yescharacteristic
53#17989244C2211yescharacteristic, complemented
54#17989237C2211yescharacteristic
55#17989236C2211yescharacteristic, complemented
56#17989234C2211yescharacteristic
57#17989234C2211yescharacteristic
58#17989231C2211yescharacteristic, complemented
59#17989231C2211yescharacteristic, complemented
60#17989226—21no—
61#17989222C2211yescharacteristic, complemented
62#17989202C2211yescharacteristic, complemented
63#17989199C2211yescharacteristic, complemented
64#17989191C2211yescharacteristic, complemented
65#17989187—21no—
66#17989182—21no—
67#17989180—21no—
68#17989172—21no—
69#17989172—21no—
70#17989169—21no—
71#17989157C2211yescharacteristic, complemented
72#17989135C2211yescharacteristic, complemented
73#17989119C2211yescharacteristic, complemented
74#17989116C2211yescharacteristic, complemented
75#17989115C2211yescharacteristic
76#17989097—21no—
77#123×D73—21no—
78#17989067C2211yescharacteristic
79#17989059C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988970C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic, complemented
84#17988970C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988923C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988895C2211yescharacteristic, complemented
96#17988892C2211yescharacteristic, complemented
97#17988891C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988888C2211yescharacteristic, complemented
100#17988887C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic
107#17988837C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988832C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988831C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988820C2211yescharacteristic
114#17988815C2211yescharacteristic, complemented
115#17988814C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988807C2211yescharacteristic, complemented
118#17988806C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic
121#17988801C2211yescharacteristic
122#17988801C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic
130#17988799C2211yescharacteristic
131#17988798C2211yescharacteristic, complemented
132#17988793C2211yescharacteristic, complemented
133#17988792C2211yescharacteristic, complemented
134#17988792C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988784C2211yescharacteristic, complemented
138#17988784C2211yescharacteristic, complemented
139#17988784C2211yescharacteristic, complemented
140#17988784C2211yescharacteristic, complemented
141#17988779C2211yescharacteristic
142#17988779C2211yescharacteristic
143#17988751C2211yescharacteristic
144#17988751C2211yescharacteristic
145#17988750C2211yescharacteristic, complemented
146#17988750C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic
151#17988729C2211yescharacteristic
152#17988729C2211yescharacteristic, complemented
153#17988724C2211yescharacteristic, complemented
154#17988719C2211yescharacteristic
155#17988719C2211yescharacteristic
156#17988719C2211yescharacteristic, complemented
157#17988715C2211yescharacteristic, complemented
158C8×Dic146C2211yescharacteristic, complemented
159#17988699C2211yescharacteristic, complemented
160#17988696C2211yescharacteristic, complemented
161#17988695C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163C4×Dic292C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic, complemented
167D8×Dic73C2211yescharacteristic, complemented
168D8×Dic73C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic
170#17988667C2211yescharacteristic
171#17988666C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988662C2211yescharacteristic, complemented
174#17988660C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988614C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184#17988585C2211yescharacteristic, complemented
185#17988585C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187C2×#14556512C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic
189#535×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic
191#493×C73C2211yescharacteristic
192#490×C73C2211yescharacteristic, complemented
193#488×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556617—42no—
214#14556615—42no—
215#14556615—42no—
216#14556615—42no—
217#14556611—42no—
218C2×Dic292C2311yescharacteristic
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231SD16×D73—42no—
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924012C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C22×#10596831C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241#14556591C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587—21no—
245#14556586—21no—
246#14556586D411yescharacteristic
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584D411yescharacteristic
256#14556583C2311yescharacteristic
257#14556582—21no—
258#14556582C2311yescharacteristic
259#14556581—21no—
260#14556581—21no—
261#14556581D411yescharacteristic
262#14556578—21no—
263#14556578—21no—
264#14556578—21no—
265#14556578C2311yescharacteristic
266#14556578C2311yescharacteristic
267#14556578C2311yescharacteristic
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577D411yescharacteristic
273#14556576—21no—
274#14556576D411yescharacteristic
275#14556575—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573D411yescharacteristic
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572—21no—
292#14556572—21no—
293#14556572—21no—
294#14556572—21no—
295#14556572—21no—
296#14556571—21no—
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556570—21no—
300#14556570—21no—
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556569—21no—
304#14556569—21no—
305#14556569D411yescharacteristic
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556568—21no—
311#14556567C2311yescharacteristic
312#14556564—21no—
313#14556564D411yescharacteristic
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556562—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562—21no—
328#14556562C2311yescharacteristic
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556560—21no—
334#14556560—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339Q8×Dic73C2311yescharacteristic
340C4×Dic146C2311yescharacteristic
341C4×Dic146C2311yescharacteristic
342C4×Dic146C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347C4×D292C2311yescharacteristic
348D4×Dic73—21no—
349D4×Dic73—21no—
350D4×Dic73—21no—
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73—21no—
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358D4×Dic73C2311yescharacteristic
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73C2311yescharacteristic
366C4×C22⋊D73C2311yescharacteristic
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556550—21no—
374#14556549—21no—
375#14556549—21no—
376#14556549C2311yescharacteristic
377#14556548C2311yescharacteristic
378#14556547—21no—
379#14556547—21no—
380C2×C4⋊Dic73C2311yescharacteristic
381C2×#11924007—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73—21no—
384C4⋊C4×D73C2311yescharacteristic
385C2×C22⋊Dic73—21no—
386C2×C22⋊Dic73—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
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#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451#127×C73C2311yescharacteristic
452#127×C73C2311yescharacteristic
453#127×C73C2311yescharacteristic
454#125×C73C2311yescharacteristic
455#124×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#123×C73—21no—
458#123×C73—21no—
459#121×C73—21no—
460#121×C73—21no—
461#121×C73—21no—
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466#120×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×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—22no—
487#11924028—41no—
488#11924027—41no—
489#11924027—41no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—82no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—41no—
502Q8×D73—41no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73C2×D411yescharacteristic
517C2×C22⋊D73C2×D411yescharacteristic
518D4×D73—22no—
519D4×D73—22no—
520D4×D73—41no—
521D4×D73—41no—
522D4×D73—82no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—82no—
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544Dic292—41no—
545Dic292—41no—
546#11924018—41no—
547#11924017—22no—
548#11924017—22no—
549#11924016—41no—
550#11924016—41no—
551#11924016—41no—
552#11924016—41no—
553#11924016—41no—
554#11924016—41no—
555#11924016—41no—
556#11924015—22no—
557#11924013—22no—
558#11924013—22no—
559#11924013—22no—
560#11924012—41no—
561#11924011—41no—
562#11924011—41no—
563#11924011—41no—
564C2×#10596831—41no—
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C8×D73—41no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2×D411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
596#11924007—21no—
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
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⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73C2×D411yescharacteristic
626C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C24×C73—21no—
652#41×C73—41no—
653#41×C73—41no—
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—41no—
666C2×D4×C73—41no—
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73C2411yescharacteristic
676SD16×C73—41no—
677SD16×C73—41no—
678D8×C73—41no—
679D8×C73—41no—
680D8×C73—41no—
681D8×C73—41no—
682D8×C73—41no—
683D8×C73—41no—
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×C73C2×D411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73—81no—
714C23×C73C22×D411yescharacteristic
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—81no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73—81no—
743D4×C73—81no—
744D4×C73—81no—
745D4×C73—81no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C2511yescharacteristic
760C22⋊D73—41no—
761C22⋊D73—41no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73—81no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795D292—21no—
796D292—41no—
797D292H(5,𝔽2)12yes—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—41no—
803C4×D73—41no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
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—21no—
831C22×C73—41no—
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—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—162no—
847C22×C73C23×D411yescharacteristic
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—21no—
851C2×D73—21no—
852C2×D73—21no—
853C2×D73—21no—
854C2×D73—22no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—84no—
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×C73C2×H(5,𝔽2)11yescharacteristic
868C4×C73#58511yescharacteristic
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73—81no—
889C2×C73#348811yescharacteristic
890C2×C73#358411yescharacteristic
891C2×C73#358511yescharacteristic
892D73—41no—
893D73—41no—
894D73—42no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317—731no—
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260—731no—
914#3257—731no—
915#3256—731no—
916#3225—731no—
917#3220D7311yescharacteristic, complemented
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#541—731no—
959#540—731no—
960#540—1461no—
961#540C2×D7311yescharacteristic
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535C2×D7311yescharacteristic, complemented
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#497—731no—
979#496C2×D7311yescharacteristic
980#495—731no—
981#495—731no—
982#495—731no—
983#493C2×D7311yescharacteristic
984#490C2×D7311yescharacteristic, complemented
985#489—731no—
986#488—731no—
987#488—731no—
988#488C2×D7311yescharacteristic, complemented
989#487—731no—
990#484—731no—
991#484—731no—
992#483—731no—
993#482—731no—
994#482—731no—
995#481—731no—
996#479—731no—
997#479—731no—
998#479—731no—
999#479—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#476—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—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#463C2×D7311yescharacteristic, complemented
1033#463C2×D7311yescharacteristic, complemented
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#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#459C2×D7311yescharacteristic, complemented
1047#459C2×D7311yescharacteristic, complemented
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#451—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449C2×D7311yescharacteristic, complemented
1059#449C2×D7311yescharacteristic, complemented
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447C2×D7311yescharacteristic, complemented
1065#447C2×D7311yescharacteristic, complemented
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433C2×D7311yescharacteristic, complemented
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—1461no—
1108C22×D4C22×D7311yescharacteristic
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×SD16—2922no—
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×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8C22×D7311yescharacteristic
1135C2×D8C22×D7311yescharacteristic
1136C2×D8C22×D7311yescharacteristic
1137C2×D8C22×D7311yescharacteristic
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149#127—1461no—
1150#127C22×D7311yescharacteristic
1151#127C22×D7311yescharacteristic
1152#127C22×D7311yescharacteristic
1153#126—731no—
1154#126—731no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—731no—
1165#125—731no—
1166#125—731no—
1167#125—1461no—
1168#125—1461no—
1169#125—1461no—
1170#125C22×D7311yescharacteristic
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124C22×D7311yescharacteristic
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—731no—
1187#123—731no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
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—21no—
1228#121—21no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—731no—
1233#121—731no—
1234#121—731no—
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—21no—
1253#120—21no—
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×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
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—731no—
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×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
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×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
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#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
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#102—731no—
1360#102—731no—
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#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
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—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—1461no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—2921no—
1415C2×D4—2921no—
1416C2×D4—5842no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1462no—
1424C2×D4—1462no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4C23×D7311yescharacteristic
1435C2×D4C23×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—5842no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
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—41no—
1468SD16—41no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—41no—
1480D8—41no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490M16—2921no—
1491M16—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—731no—
1515C4⋊C4—731no—
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⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4D4×D7311yescharacteristic
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
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⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
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—21no—
1606C23—81no—
1607C23—81no—
1608C23—81no—
1609C23—2922no—
1610C23—2922no—
1611C23—2922no—
1612C23—5841no—
1613C23—5841no—
1614C23—5841no—
1615C23—731no—
1616C23—731no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—2921no—
1622Q8—5841no—
1623Q8—5841no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—2921no—
1651D4—2922no—
1652D4—2922no—
1653D4—2921no—
1654D4—2921no—
1655D4—2922no—
1656D4—2922no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—5841no—
1664D4—732no—
1665D4—1461no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—2922no—
1675C2×C4—2921no—
1676C2×C4—2921no—
1677C2×C4—2922no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
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—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—1461no—
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—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—162no—
1742C22—2921no—
1743C22—2921no—
1744C22—5844no—
1745C22—11682no—
1746C22—1462no—
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—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942211yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—2922no—
1784C2—2921no—
1785C2—2921no—
1786C2#2262359811yescharacteristic
1787C2#2262469911yescharacteristic
1788C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3220C2
socleC22×C73C23×D4
hypercenter#3220D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3220

Complements

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

NH ≅ G/Ntype
1. #22624515C2semidirect
2. #22623869C2semidirect
3. #22622992C2semidirect
4. #22622945C2semidirect
5. #22622679C2semidirect
6. #22622577C2semidirect
7. #22622229C2semidirect
8. #22622198C2semidirect
9. #22622177C2semidirect
10. #22622056C2semidirect
11. #22621896C2semidirect
12. #22621785C2semidirect
13. #22621641C2semidirect
14. #22621550C2semidirect
15. #22621542C2semidirect
16. #22621542C2semidirect
17. #22621449C2semidirect
18. #22621425C2semidirect
19. #22621377C2semidirect
20. #22621338C2semidirect
21. #22621329C2semidirect
22. #22621037C2semidirect
23. #22620905C2semidirect
24. #22620172C2semidirect
25. #22620147C2semidirect
26. #22619977C2semidirect
27. #22619466C2semidirect
28. #22619441C2semidirect
29. #22619390C2semidirect
30. #22619074C2semidirect
31. C73×#3220C2semidirect
35. C2×#14556615C22semidirect
37. C2×SD16×D73C22semidirect
40. #17989323C22semidirect
41. #17989323C22semidirect
42. #17989306C22semidirect
43. #17989293C22semidirect
47. #17989275C22semidirect
53. #17989244C22semidirect
55. #17989236C22semidirect
58. #17989231C22semidirect
59. #17989231C22semidirect
61. #17989222C22semidirect
62. #17989202C22semidirect
63. #17989199C22semidirect
64. #17989191C22semidirect
71. #17989157C22semidirect
72. #17989135C22semidirect
73. #17989119C22semidirect
74. #17989116C22semidirect
79. #17989059C22semidirect
80. C4×D4×D73C22semidirect
81. #17988978C22semidirect
82. #17988970C22semidirect
83. #17988970C22semidirect
84. #17988970C22semidirect
85. #17988945C22semidirect
86. #17988940C22semidirect
87. #17988940C22semidirect
88. #17988936C22semidirect
89. #17988923C22semidirect
90. #17988921C22semidirect
91. #17988918C22semidirect
92. #17988910C22semidirect
93. #17988909C22semidirect
94. #17988904C22semidirect
95. #17988895C22semidirect
96. #17988892C22semidirect
97. #17988891C22semidirect
98. #17988891C22semidirect
99. #17988888C22semidirect
100. #17988887C22semidirect
101. #17988887C22semidirect
102. #17988885C22semidirect
103. #17988875C22semidirect
104. #17988865C22semidirect
105. #17988844C22semidirect
107. #17988837C22semidirect
108. #17988832C22semidirect
109. #17988832C22semidirect
110. #17988831C22semidirect
111. #17988831C22semidirect
112. #17988830C22semidirect
114. #17988815C22semidirect
115. #17988814C22semidirect
116. #17988814C22semidirect
117. #17988807C22semidirect
118. #17988806C22semidirect
119. #17988806C22semidirect
122. #17988801C22semidirect
123. #17988800C22semidirect
124. #17988800C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988800C22semidirect
128. #17988800C22semidirect
131. #17988798C22semidirect
132. #17988793C22semidirect
133. #17988792C22semidirect
134. #17988792C22semidirect
135. #17988791C22semidirect
136. #17988790C22semidirect
137. #17988784C22semidirect
138. #17988784C22semidirect
139. #17988784C22semidirect
140. #17988784C22semidirect
145. #17988750C22semidirect
146. #17988750C22semidirect
147. #17988750C22semidirect
148. #17988744C22semidirect
149. #17988736C22semidirect
152. #17988729C22semidirect
153. #17988724C22semidirect
156. #17988719C22semidirect
157. #17988715C22semidirect
158. C8×Dic146C22semidirect
159. #17988699C22semidirect
160. #17988696C22semidirect
161. #17988695C22semidirect
162. #17988689C22semidirect
163. C4×Dic292C22semidirect
164. C4×#11924017C22semidirect
165. SD16×Dic73C22semidirect
166. #17988672C22semidirect
167. D8×Dic73C22semidirect
168. D8×Dic73C22semidirect
171. #17988666C22semidirect
172. #17988662C22semidirect
173. #17988662C22semidirect
174. #17988660C22semidirect
175. #17988655C22semidirect
176. #17988650C22semidirect
177. #17988647C22semidirect
178. #17988639C22semidirect
179. #17988614C22semidirect
180. #17988612C22semidirect
181. #17988609C22semidirect
182. #17988594C22semidirect
183. #17988588C22semidirect
184. #17988585C22semidirect
185. #17988585C22semidirect
186. #17988580C22semidirect
187. C2×#14556512C22semidirect
189. #535×C73C22semidirect
192. #490×C73C22semidirect
193. #488×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #459×C73C22semidirect
197. #459×C73C22semidirect
198. #449×C73C22semidirect
199. #449×C73C22semidirect
200. #447×C73C22semidirect
201. #447×C73C22semidirect
202. #433×C73C22semidirect
917. #3220D73semidirect
926. C73#62027semidirect
968. #535C2×D73semidirect
984. #490C2×D73semidirect
988. #488C2×D73semidirect
1032. #463C2×D73semidirect
1033. #463C2×D73semidirect
1046. #459C2×D73semidirect
1047. #459C2×D73semidirect
1058. #449C2×D73semidirect
1059. #449C2×D73semidirect
1064. #447C2×D73semidirect
1065. #447C2×D73semidirect
1087. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245152
#226238692
#226229922
#226229452
#226226792
#226225772
#226222292
#226221982
#226221772
#226220562
#226218962
#226217852
#226216412
#226215502
#226215422
#226214492
#226214252
#226213772
#226213382
#226213292
#226210372
#226209052
#226201722
#226201472
#226199772
#226194662
#226194412
#226193902
#226190742
C73×#32202
#6202773