Finite Group Databasebeta

← #33981638

Subgroups — #33981638

Order 18688.

1804 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623902C211yesmaximal, characteristic, complemented
2#22623538C211yesmaximal, characteristic, complemented
3#22622803C211yesmaximal, characteristic, complemented
4#22622793C211yesmaximal, characteristic, complemented
5#22622630C211yesmaximal, characteristic, complemented
6#22622592C211yesmaximal, characteristic, complemented
7#22622326C211yesmaximal, characteristic, complemented
8#22622321C211yesmaximal, characteristic, complemented
9#22622311C211yesmaximal, characteristic, complemented
10#22622304C211yesmaximal, characteristic, complemented
11#22622286C211yesmaximal, characteristic, complemented
12#22621776C211yesmaximal, characteristic, complemented
13#22621775C211yesmaximal, characteristic, complemented
14#22621769C211yesmaximal, characteristic, complemented
15#22621768C211yesmaximal, characteristic, complemented
16#22621753C211yesmaximal, characteristic, complemented
17#22621739C211yesmaximal, characteristic, complemented
18#22621282C211yesmaximal, characteristic, complemented
19#22621277C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22621100C211yesmaximal, characteristic, complemented
22#22621098C211yesmaximal, characteristic, complemented
23#22621065C211yesmaximal, characteristic, complemented
24#22619976C211yesmaximal, characteristic, complemented
25#22619975C211yesmaximal, characteristic, complemented
26#22619944C211yesmaximal, characteristic, complemented
27#22619717C211yesmaximal, characteristic, complemented
28C2×#17988890C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22619038C211yesmaximal, characteristic, complemented
31C73×#3339C211yesmaximal, characteristic, complemented
32#17989320C2211yescharacteristic
33#17989314C2211yescharacteristic, complemented
34#17989296C2211yescharacteristic, complemented
35#17989293C2211yescharacteristic
36#17989292C2211yescharacteristic
37#17989292C2211yescharacteristic
38#17989284C2211yescharacteristic, complemented
39#17989282—21no—
40#17989281C2211yescharacteristic
41#17989277—21no—
42#17989277C2211yescharacteristic, complemented
43#17989276C2211yescharacteristic, complemented
44#17989274—21no—
45#17989273—21no—
46#17989266—21no—
47#17989262—21no—
48#17989237—21no—
49#17989237C2211yescharacteristic
50#17989234C2211yescharacteristic
51#17989233C2211yescharacteristic
52#17989226—21no—
53#17989221C2211yescharacteristic
54#17989194—21no—
55#17989182—21no—
56#17989180—21no—
57#17989140C2211yescharacteristic, complemented
58#17989132C2211yescharacteristic
59#17989122C2211yescharacteristic
60#17989120—21no—
61#17989119C2211yescharacteristic, complemented
62#17989118C2211yescharacteristic
63#17989118C2211yescharacteristic, complemented
64#17989118C2211yescharacteristic, complemented
65C2×#14556582C2211yescharacteristic, complemented
66#125×D73C2211yescharacteristic, complemented
67#17989097—21no—
68#17989095—21no—
69#17989066—21no—
70#17989055C2211yescharacteristic
71C4×#11924027C2211yescharacteristic
72C2×#14556553C2211yescharacteristic
73C4×D4×D73—21no—
74C4×D4×D73C2211yescharacteristic
75#17988991C2211yescharacteristic, complemented
76#17988987C2211yescharacteristic, complemented
77#17988987C2211yescharacteristic, complemented
78#17988986C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988944C2211yescharacteristic, complemented
81#17988942C2211yescharacteristic, complemented
82#17988940C2211yescharacteristic, complemented
83#17988940C2211yescharacteristic, complemented
84#17988932C2211yescharacteristic
85#17988932C2211yescharacteristic
86#17988928C2211yescharacteristic, complemented
87#17988924C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988922C2211yescharacteristic, complemented
90#17988922C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic
97#17988904C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic
99#17988898C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988893C2211yescharacteristic, complemented
104#17988891C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic
106#17988890C2211yescharacteristic
107#17988890C2211yescharacteristic
108#17988890C2211yescharacteristic
109#17988890C2211yescharacteristic, complemented
110#17988890C2211yescharacteristic, complemented
111#17988890C2211yescharacteristic, complemented
112#17988890C2211yescharacteristic, complemented
113#17988889C2211yescharacteristic, complemented
114#17988889C2211yescharacteristic, complemented
115#17988888C2211yescharacteristic
116#17988887C2211yescharacteristic, complemented
117#17988886C2211yescharacteristic
118#17988886C2211yescharacteristic, complemented
119#17988885C2211yescharacteristic, complemented
120#17988885C2211yescharacteristic, complemented
121#17988884C2211yescharacteristic
122#17988881C2211yescharacteristic, complemented
123#17988881C2211yescharacteristic, complemented
124#17988876C2211yescharacteristic
125#17988875C2211yescharacteristic, complemented
126#17988871C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic
128#17988829C2211yescharacteristic, complemented
129#17988828C2211yescharacteristic, complemented
130#17988822C2211yescharacteristic
131#17988821C2211yescharacteristic, complemented
132#17988817C2211yescharacteristic
133#17988816C2211yescharacteristic, complemented
134#17988815C2211yescharacteristic, complemented
135#17988814C2211yescharacteristic
136#17988814C2211yescharacteristic, complemented
137#17988814C2211yescharacteristic, complemented
138#17988810C2211yescharacteristic, complemented
139#17988808C2211yescharacteristic, complemented
140#17988808C2211yescharacteristic, complemented
141#17988802C2211yescharacteristic, complemented
142#17988801C2211yescharacteristic
143#17988801C2211yescharacteristic, complemented
144#17988800C2211yescharacteristic, complemented
145#17988800C2211yescharacteristic, complemented
146#17988786C2211yescharacteristic
147#17988780C2211yescharacteristic
148#17988751C2211yescharacteristic
149#17988740C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988730C2211yescharacteristic
152#17988720C2211yescharacteristic
153#17988719C2211yescharacteristic
154C8×Dic146C2211yescharacteristic, complemented
155#17988711C2211yescharacteristic, complemented
156#17988681C2211yescharacteristic, complemented
157#17988678C2211yescharacteristic, complemented
158C4×#11924017C2211yescharacteristic
159#17988674C2211yescharacteristic
160#17988674C2211yescharacteristic
161#17988674C2211yescharacteristic, complemented
162C4×#11924016C2211yescharacteristic, complemented
163C4×#11924013C2211yescharacteristic
164#17988667C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic, complemented
167D4×#10596831C2211yescharacteristic, complemented
168C8×C22⋊D73C2211yescharacteristic
169C8×C22⋊D73C2211yescharacteristic, complemented
170#17988650C2211yescharacteristic
171#17988650C2211yescharacteristic, complemented
172#17988638C2211yescharacteristic, complemented
173#17988637C2211yescharacteristic, complemented
174#17988637C2211yescharacteristic, complemented
175#17988623C2211yescharacteristic, complemented
176#107×D73C2211yescharacteristic, complemented
177C2×#14556522C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179C2×#14556520C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988584C2211yescharacteristic
183#17988581C2211yescharacteristic
184C2×#14556513C2211yescharacteristic
185C2×#14556511C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#553×C73C2211yescharacteristic
189#553×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic
194#481×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#466×C73C2211yescharacteristic
198#466×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#427×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027D411yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211C22×C4×D73—21no—
212C2×Dic292C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218C2×#11924013C2311yescharacteristic
219C22×#10596831C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556590—21no—
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556587C2311yescharacteristic
228#14556586—21no—
229#14556585—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556583—21no—
238#14556583C2311yescharacteristic
239#14556582—21no—
240#14556582—21no—
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556579C2311yescharacteristic
255#14556578C2311yescharacteristic
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556576—21no—
260#14556576—21no—
261#14556574—21no—
262#14556573—21no—
263#14556573—21no—
264#14556573—21no—
265#14556573—21no—
266#14556573—21no—
267#14556573—21no—
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556572—21no—
272#14556572—21no—
273#14556572—21no—
274#14556571—21no—
275#14556571C2311yescharacteristic
276#14556571C2311yescharacteristic
277#14556570—21no—
278#14556570—21no—
279#14556570—21no—
280#14556570C2311yescharacteristic
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556566C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556563—21no—
298#14556562—21no—
299#14556562—21no—
300#14556562C2311yescharacteristic
301#14556561—21no—
302#14556559—21no—
303#14556559—21no—
304#14556559—21no—
305C4×Dic146—21no—
306C4×Dic146—21no—
307C4×Dic146C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309#14556556—21no—
310#14556556D411yescharacteristic
311#14556556C2311yescharacteristic
312#14556556C2311yescharacteristic
313#14556556C2311yescharacteristic
314#14556556C2311yescharacteristic
315C4×D292—21no—
316C4×D292C2311yescharacteristic
317D4×Dic73—21no—
318D4×Dic73—21no—
319D4×Dic73—21no—
320D4×Dic73D411yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324#14556553—21no—
325#14556553—21no—
326#14556553—21no—
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329#14556553C2311yescharacteristic
330#14556553C2311yescharacteristic
331#14556553C2311yescharacteristic
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73C2311yescharacteristic
338C4×C22⋊D73C2311yescharacteristic
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551D411yescharacteristic
345#14556551D411yescharacteristic
346#14556550—21no—
347#14556550C2311yescharacteristic
348#14556549—21no—
349#14556549D411yescharacteristic
350#14556548—21no—
351#14556548—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547—21no—
355#14556547—21no—
356#14556547D411yescharacteristic
357#14556547D411yescharacteristic
358C2×C4⋊Dic73—21no—
359C2×C4⋊Dic73C2311yescharacteristic
360C2×#11924007—21no—
361C2×#11924007—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C2×#11924005—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C2×C4×Dic73C2311yescharacteristic
373C2×C4×Dic73C2311yescharacteristic
374C42×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392#14556520C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430C4×#10596831C2311yescharacteristic
431C8×Dic73C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×D8×C73C2311yescharacteristic
436C22×C8×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438#126×C73—21no—
439#126×C73—21no—
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#123×C73—21no—
443#123×C73—21no—
444#121×C73—21no—
445#121×C73—21no—
446#121×C73C2311yescharacteristic
447#121×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455#117×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—22no—
481#11924028—41no—
482#11924027—24no—
483#11924027—44no—
484#11924027—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146C2×D411yescharacteristic
489C2×Dic146C2411yescharacteristic
490C2×Dic146C2411yescharacteristic
491C2×D292—22no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—41no—
495C2×D292C2411yescharacteristic
496C2×D292C2411yescharacteristic
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73C2×D411yescharacteristic
504C2×C22⋊D73C2×D411yescharacteristic
505D4×D73—22no—
506D4×D73—41no—
507D4×D73—44no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73C2×D411yescharacteristic
513C22×Dic73C2×D411yescharacteristic
514C22×Dic73C2×D411yescharacteristic
515C22×Dic73C2×D411yescharacteristic
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—82no—
527C2×C4×D73—82no—
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531Dic292—41no—
532#11924017—22no—
533#11924017—41no—
534#11924016—41no—
535#11924016—41no—
536#11924013—22no—
537#11924013—41no—
538C2×#10596831—41no—
539C2×#10596831—41no—
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C8×D73—41no—
545C8×D73—41no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73C2×D411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73C2×D411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73—21no—
640C22×C4×C73C2411yescharacteristic
641C22×C4×C73C2411yescharacteristic
642D8×C73—41no—
643C2×C8×C73—41no—
644C2×C8×C73—41no—
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73C2×D411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C42×C73—21no—
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73C22×D411yescharacteristic
678C23×C73C22×D411yescharacteristic
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—42no—
684C22×D73—42no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73C22×D411yescharacteristic
688D4×C73—22no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—42no—
694D4×C73—42no—
695D4×C73—81no—
696D4×C73—81no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—81no—
708C2×C4×C73—81no—
709C2×C4×C73—81no—
710C2×C4×C73—81no—
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C2511yescharacteristic
716C22⋊D73—22no—
717C22⋊D73—42no—
718C22⋊D73—42no—
719C22⋊D73—42no—
720C22⋊D73—42no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73#13514yes—
724C2×Dic73—22no—
725C2×Dic73—22no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—41no—
733C2×Dic73—41no—
734C2×Dic73—42no—
735C2×Dic73—42no—
736C2×Dic73—42no—
737C2×Dic73—81no—
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745D292—21no—
746D292—21no—
747D292—21no—
748D292—42no—
749D292—42no—
750D2922−1+412yes—
751C4×D73—22no—
752C4×D73—21no—
753C4×D73—21no—
754C4×D73—41no—
755C4×D73—42no—
756C4×D73—42no—
757C4×D73—42no—
758C4×D73—42no—
759C4×D73—42no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765Dic146—22no—
766Dic146—21no—
767Dic146—21no—
768Dic146—21no—
769Dic146—21no—
770Dic146—42no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73C2×#13512yes—
793C22×C73C23×D411yescharacteristic
794C2×D73—21no—
795C2×D73—21no—
796C2×D73—22no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—84no—
803C2×D73—84no—
804C2×D73C2×#13512yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73C2×2−1+411yescharacteristic
816C4×C73#58511yescharacteristic
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73C2×#13512yes—
830#62103—731nomaximal, Sylow
831C2×C73—22no—
832C2×C73—41no—
833C2×C73—81no—
834C2×C73—81no—
835C2×C73#348911yescharacteristic
836C2×C73C22×#13511yescharacteristic
837C2×C73#358511yescharacteristic
838D73—22no—
839D73—42no—
840D73—81no—
841#3515—731no—
842#3481—731no—
843#3381—731no—
844#3380—731no—
845#3365—731no—
846#3361—731no—
847#3339—731no—
848#3339D7311yescharacteristic, complemented
849#3338—731no—
850#3337—731no—
851#3337—731no—
852#3335—731no—
853#3297—731no—
854#3297—731no—
855#3296—731no—
856#3296—731no—
857#3295—731no—
858#3294—731no—
859#3250—731no—
860#3250—731no—
861#3247—731no—
862#3232—731no—
863#3232—731no—
864#3228—731no—
865#3105—731no—
866#3105—731no—
867#3102—731no—
868#3076—731no—
869C2×#478—731no—
870C2×#478—731no—
871#2988—731no—
872C73#6210311yescharacteristic, complemented, Sylow
873#559—731no—
874#557—731no—
875#554—731no—
876#554—731no—
877#554—731no—
878#554—731no—
879#553—731no—
880#553—731no—
881#553—1461no—
882#553C2×D7311yescharacteristic
883#553C2×D7311yescharacteristic, complemented
884#552—731no—
885#552—731no—
886#552—1461no—
887#552—1461no—
888#552—1461no—
889#551—1461no—
890#551—1461no—
891#547—731no—
892#547—1461no—
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#541—1461no—
898#539—1461no—
899#539—1461no—
900#533—731no—
901#532—731no—
902#529—731no—
903#529—731no—
904#529—731no—
905#529—731no—
906#529—731no—
907#529—1461no—
908C2×#125—731no—
909C2×#125—731no—
910#525—1461no—
911#525—1461no—
912#520—1461no—
913C4×#41—731no—
914C4×#41—731no—
915C2×C4×D4—731no—
916C2×C4×D4—731no—
917C2×C4×D4—1461no—
918#500—731no—
919#499—731no—
920#499—731no—
921#499—731no—
922#499C2×D7311yescharacteristic, complemented
923#498—731no—
924#488—731no—
925#488—731no—
926#488—731no—
927#488—731no—
928#486—731no—
929#486—731no—
930#485—731no—
931#484—731no—
932#484—731no—
933#484—731no—
934#484—731no—
935#483—731no—
936#483—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482C2×D7311yescharacteristic, complemented
941#482C2×D7311yescharacteristic, complemented
942#481—731no—
943#481—731no—
944#481C2×D7311yescharacteristic
945#481C2×D7311yescharacteristic, complemented
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#479—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#478—731no—
969#478—731no—
970#478C2×D7311yescharacteristic, complemented
971#478C2×D7311yescharacteristic, complemented
972#477—731no—
973#477—731no—
974#476—731no—
975#476—731no—
976#475—731no—
977#474—731no—
978#467—731no—
979#467—731no—
980#466—731no—
981#466—731no—
982#466C2×D7311yescharacteristic
983#466C2×D7311yescharacteristic, complemented
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006C8×Q8—731no—
1007C8×Q8—731no—
1008C4×Q16—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×SD16—731no—
1012C4×SD16—731no—
1013C4×SD16—731no—
1014C4×SD16—731no—
1015C4×D8—731no—
1016C4×D8—731no—
1017C4×D8—731no—
1018C4×D8—731no—
1019C4×D8C2×D7311yescharacteristic, complemented
1020C8×D4—731no—
1021C8×D4—731no—
1022C8×D4—731no—
1023C8×D4—731no—
1024C8×D4—731no—
1025C8×D4C2×D7311yescharacteristic, complemented
1026#431—731no—
1027#431—731no—
1028#431—731no—
1029#427—731no—
1030#427C2×D7311yescharacteristic, complemented
1031C2×#107—731no—
1032C2×#107C2×D7311yescharacteristic, complemented
1033C2×#106—731no—
1034C2×#106—731no—
1035C2×C4⋊C8—731no—
1036C2×C4⋊C8—731no—
1037C2×C4⋊C8—731no—
1038#416—731no—
1039#416—731no—
1040C2×#102—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—731no—
1045C2×#41—731no—
1046C2×#41—1461no—
1047C2×#41—1461no—
1048C22×D4—731no—
1049C22×D4—731no—
1050C22×D4—1461no—
1051C23×C4—1461no—
1052C23×C4—1461no—
1053C2×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8C22×D7311yescharacteristic
1061C22×C8—731no—
1062C22×C8—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8C22×D7311yescharacteristic
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—1461no—
1071#127—731no—
1072#126—21no—
1073#126—21no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—731no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125—1461no—
1096#125—1461no—
1097#125—1461no—
1098#125—1461no—
1099#125—1461no—
1100#125C22×D7311yescharacteristic
1101#125C22×D7311yescharacteristic
1102#124—731no—
1103#124—731no—
1104#124—731no—
1105#124—1461no—
1106#124—1461no—
1107#123—21no—
1108#123—21no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124C22⋊Q8—731no—
1125C22⋊Q8—731no—
1126C22⋊Q8—731no—
1127C22⋊Q8—731no—
1128C22⋊Q8—731no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142#121—21no—
1143#121—21no—
1144#121—731no—
1145#121—731no—
1146#121—731no—
1147#121—1461no—
1148#121—1461no—
1149#121—1461no—
1150#121—1461no—
1151#121—1461no—
1152#121—1461no—
1153#121C22×D7311yescharacteristic
1154#121C22×D7311yescharacteristic
1155#121C22×D7311yescharacteristic
1156#121C22×D7311yescharacteristic
1157#120—1461no—
1158#120—1461no—
1159#120—1461no—
1160#120—1461no—
1161C4×Q8—731no—
1162C4×Q8—731no—
1163C4×Q8—731no—
1164C4×Q8—731no—
1165C4×Q8—731no—
1166C4×Q8—731no—
1167C4×Q8—731no—
1168C4×Q8—1461no—
1169C4×Q8—1461no—
1170C4×Q8—1461no—
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—731no—
1174C4×D4—731no—
1175C4×D4—731no—
1176C4×D4—731no—
1177C4×D4—731no—
1178C4×D4—731no—
1179C4×D4—731no—
1180C4×D4—731no—
1181C4×D4—731no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—1461no—
1188C4×D4—1461no—
1189C4×D4—1461no—
1190C4×D4—1461no—
1191C4×D4—1461no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—1461no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117C22×D7311yescharacteristic
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4—1461no—
1228C2×C4⋊C4—1461no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4C22×D7311yescharacteristic
1232C2×C4⋊C4C22×D7311yescharacteristic
1233C2×C22⋊C4—1461no—
1234C2×C22⋊C4—1461no—
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C42—731no—
1238C2×C42—731no—
1239C2×C42—731no—
1240C2×C42—1461no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107C22×D7311yescharacteristic
1249#107C22×D7311yescharacteristic
1250#107C22×D7311yescharacteristic
1251#107C22×D7311yescharacteristic
1252#107C22×D7311yescharacteristic
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313C4×C8—731no—
1314C4×C8—731no—
1315C4×C8—731no—
1316C4×C8—731no—
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—1461no—
1320C24—1461no—
1321#41—2921no—
1322#41—2924no—
1323#41—5842no—
1324#41—1462no—
1325#41—1464no—
1326C2×Q8—731no—
1327C2×Q8—731no—
1328C2×Q8—731no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—2921no—
1337C2×D4—2924no—
1338C2×D4—2921no—
1339C2×D4—731no—
1340C2×D4—731no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—1461no—
1344C2×D4—1462no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1462no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4D4×D7311yescharacteristic
1354C2×D4C23×D7311yescharacteristic
1355C2×D4C23×D7311yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—5842no—
1361C22×C4—5842no—
1362C22×C4—731no—
1363C22×C4—731no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—2921no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—41no—
1391D8—2921no—
1392D8—1462no—
1393C2×C8—41no—
1394C2×C8—41no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4D4×D7311yescharacteristic
1454C4⋊C4C23×D7311yescharacteristic
1455C4⋊C4C23×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4D4×D7311yescharacteristic
1497C22⋊C4D4×D7311yescharacteristic
1498C42—21no—
1499C42—21no—
1500C42—731no—
1501C42—731no—
1502C42—731no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—731no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—2922no—
1519C23—2922no—
1520C23—2922no—
1521C23—2922no—
1522C23—5841no—
1523C23—5841no—
1524C23—731no—
1525C23—1461no—
1526C23—1461no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—2922no—
1530Q8—5841no—
1531Q8—5841no—
1532Q8—1462no—
1533Q8—1461no—
1534Q8—1461no—
1535Q8—1461no—
1536Q8—1461no—
1537D4—22no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—42no—
1543D4—42no—
1544D4—81no—
1545D4—81no—
1546D4—2922no—
1547D4—2922no—
1548D4—2922no—
1549D4—2922no—
1550D4—2922no—
1551D4—2922no—
1552D4—5841no—
1553D4—5841no—
1554D4—734no—
1555D4—732no—
1556D4—1462no—
1557D4—1461no—
1558D4—1461no—
1559D4—1461no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—2922no—
1575C2×C4—2921no—
1576C2×C4—2922no—
1577C2×C4—2922no—
1578C2×C4—2922no—
1579C2×C4—2922no—
1580C2×C4—2922no—
1581C2×C4—2922no—
1582C2×C4—2922no—
1583C2×C4—2921no—
1584C2×C4—2921no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—1462no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1462no—
1606C2×C4—1462no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—5844no—
1639C22—5844no—
1640C22—732no—
1641C22—1462no—
1642C22—1461no—
1643C22—1461no—
1644C22#135×D7312yes—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—732no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942311yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—81no—
1674C2—81no—
1675C2—2922no—
1676C2—5841no—
1677C2—1462no—
1678C2#2262360511yescharacteristic
1679C2C2×#135×D7311yescharacteristic
1680C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3339C2
socleC22×C73C23×D4
hypercenter#3339D73
hypocenterC73#62103
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3339

Complements

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

NH ≅ G/Ntype
1. #22623902C2semidirect
2. #22623538C2semidirect
3. #22622803C2semidirect
4. #22622793C2semidirect
5. #22622630C2semidirect
6. #22622592C2semidirect
7. #22622326C2semidirect
8. #22622321C2semidirect
9. #22622311C2semidirect
10. #22622304C2semidirect
11. #22622286C2semidirect
12. #22621776C2semidirect
13. #22621775C2semidirect
14. #22621769C2semidirect
15. #22621768C2semidirect
16. #22621753C2semidirect
17. #22621739C2semidirect
18. #22621282C2semidirect
19. #22621277C2semidirect
20. #22621250C2semidirect
21. #22621100C2semidirect
22. #22621098C2semidirect
23. #22621065C2semidirect
24. #22619976C2semidirect
25. #22619975C2semidirect
26. #22619944C2semidirect
27. #22619717C2semidirect
28. C2×#17988890C2semidirect
29. #478×D73C2semidirect
30. #22619038C2semidirect
31. C73×#3339C2semidirect
33. #17989314C22semidirect
34. #17989296C22semidirect
38. #17989284C22semidirect
42. #17989277C22semidirect
43. #17989276C22semidirect
57. #17989140C22semidirect
61. #17989119C22semidirect
63. #17989118C22semidirect
64. #17989118C22semidirect
65. C2×#14556582C22semidirect
66. #125×D73C22semidirect
75. #17988991C22semidirect
76. #17988987C22semidirect
77. #17988987C22semidirect
78. #17988986C22semidirect
79. #17988984C22semidirect
80. #17988944C22semidirect
81. #17988942C22semidirect
82. #17988940C22semidirect
83. #17988940C22semidirect
86. #17988928C22semidirect
87. #17988924C22semidirect
88. #17988924C22semidirect
89. #17988922C22semidirect
90. #17988922C22semidirect
91. #17988919C22semidirect
92. #17988918C22semidirect
93. #17988912C22semidirect
94. #17988911C22semidirect
95. #17988908C22semidirect
97. #17988904C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988893C22semidirect
103. #17988893C22semidirect
104. #17988891C22semidirect
109. #17988890C22semidirect
110. #17988890C22semidirect
111. #17988890C22semidirect
112. #17988890C22semidirect
113. #17988889C22semidirect
114. #17988889C22semidirect
116. #17988887C22semidirect
118. #17988886C22semidirect
119. #17988885C22semidirect
120. #17988885C22semidirect
122. #17988881C22semidirect
123. #17988881C22semidirect
125. #17988875C22semidirect
126. #17988871C22semidirect
128. #17988829C22semidirect
129. #17988828C22semidirect
131. #17988821C22semidirect
133. #17988816C22semidirect
134. #17988815C22semidirect
136. #17988814C22semidirect
137. #17988814C22semidirect
138. #17988810C22semidirect
139. #17988808C22semidirect
140. #17988808C22semidirect
141. #17988802C22semidirect
143. #17988801C22semidirect
144. #17988800C22semidirect
145. #17988800C22semidirect
154. C8×Dic146C22semidirect
155. #17988711C22semidirect
156. #17988681C22semidirect
157. #17988678C22semidirect
161. #17988674C22semidirect
162. C4×#11924016C22semidirect
166. #17988667C22semidirect
167. D4×#10596831C22semidirect
169. C8×C22⋊D73C22semidirect
171. #17988650C22semidirect
172. #17988638C22semidirect
173. #17988637C22semidirect
174. #17988637C22semidirect
175. #17988623C22semidirect
176. #107×D73C22semidirect
177. C2×#14556522C22semidirect
178. #106×D73C22semidirect
179. C2×#14556520C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
189. #553×C73C22semidirect
190. #499×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
194. #481×C73C22semidirect
195. #478×C73C22semidirect
196. #478×C73C22semidirect
198. #466×C73C22semidirect
199. C4×D8×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #427×C73C22semidirect
202. C2×#107×C73C22semidirect
848. #3339D73semidirect
872. C73#62103semidirect
883. #553C2×D73semidirect
922. #499C2×D73semidirect
940. #482C2×D73semidirect
941. #482C2×D73semidirect
945. #481C2×D73semidirect
970. #478C2×D73semidirect
971. #478C2×D73semidirect
983. #466C2×D73semidirect
1019. C4×D8C2×D73semidirect
1025. C8×D4C2×D73semidirect
1030. #427C2×D73semidirect
1032. C2×#107C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239022
#226235382
#226228032
#226227932
#226226302
#226225922
#226223262
#226223212
#226223112
#226223042
#226222862
#226217762
#226217752
#226217692
#226217682
#226217532
#226217392
#226212822
#226212772
#226212502
#226211002
#226210982
#226210652
#226199762
#226199752
#226199442
#226197172
C2×#179888902
#478×D732
#226190382
C73×#33392
#6210373