Finite Group Databasebeta

← #33967505

Subgroups — #33967505

Order 18688.

1926 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623547C211yesmaximal, characteristic, complemented
2#22623538C211yesmaximal, characteristic, complemented
3#22622930C211yesmaximal, characteristic, complemented
4#22622809C211yesmaximal, characteristic, complemented
5#22622628C211yesmaximal, characteristic, complemented
6#22622577C211yesmaximal, characteristic, complemented
7#22622313C211yesmaximal, characteristic, complemented
8#22622304C211yesmaximal, characteristic, complemented
9#22622286C211yesmaximal, characteristic, complemented
10#22621834C211yesmaximal, characteristic, complemented
11#22621803C211yesmaximal, characteristic, complemented
12#22621768C211yesmaximal, characteristic, complemented
13#22621761C211yesmaximal, characteristic, complemented
14#22621739C211yesmaximal, characteristic, complemented
15#22621641C211yesmaximal, characteristic, complemented
16#22621639C211yesmaximal, characteristic, complemented
17#22621620C211yesmaximal, characteristic, complemented
18#22620500C211yesmaximal, characteristic, complemented
19#22620496C211yesmaximal, characteristic, complemented
20#22620485C211yesmaximal, characteristic, complemented
21#22620016C211yesmaximal, characteristic, complemented
22#22620006C211yesmaximal, characteristic, complemented
23#22619997C211yesmaximal, characteristic, complemented
24#22619984C211yesmaximal, characteristic, complemented
25#22619977C211yesmaximal, characteristic, complemented
26#22619975C211yesmaximal, characteristic, complemented
27C8×#11924027C211yesmaximal, characteristic, complemented
28#22618699C211yesmaximal, characteristic, complemented
29C2×#17988672C211yesmaximal, characteristic, complemented
30C4×SD16×D73C211yesmaximal, characteristic, complemented
31C73×#3301C211yesmaximal, characteristic, complemented
32C2×#14556611C2211yescharacteristic
33C22×#11924015C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989313C2211yescharacteristic, complemented
37#17989306—21no—
38#17989306C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic
40#17989292C2211yescharacteristic
41#17989282—21no—
42#17989281C2211yescharacteristic
43#17989277—21no—
44#17989277C2211yescharacteristic, complemented
45#17989271—21no—
46#17989271C2211yescharacteristic, complemented
47#17989266—21no—
48#17989262—21no—
49Q8×C22⋊D73C2211yescharacteristic
50#17989244C2211yescharacteristic, complemented
51#17989237—21no—
52#17989237C2211yescharacteristic
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989139—21no—
58#17989139C2211yescharacteristic, complemented
59#17989132C2211yescharacteristic
60#17989122C2211yescharacteristic
61#17989120—21no—
62#17989118—21no—
63#17989118C2211yescharacteristic
64#17989118C2211yescharacteristic, complemented
65#17989116—21no—
66#17989116C2211yescharacteristic, complemented
67#17989097—21no—
68#17989095—21no—
69#41×Dic73C2211yescharacteristic, complemented
70#17989055C2211yescharacteristic
71C4×#11924027—21no—
72C4×#11924027C2211yescharacteristic
73C2×Q8×Dic73C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988970C2211yescharacteristic, complemented
82#17988969C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988942C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988928C2211yescharacteristic, complemented
90#17988922C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988918C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic
98#17988898C2211yescharacteristic
99#17988892C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic
103#17988887C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic
105#17988886C2211yescharacteristic, complemented
106#17988880C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic
110#17988828C2211yescharacteristic, complemented
111#17988827C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic
113#17988819C2211yescharacteristic
114#17988818C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988814C2211yescharacteristic
118#17988814C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988809C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic
125#17988801C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic
127#17988796C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic
129#17988785C2211yescharacteristic
130#17988780C2211yescharacteristic
131#17988751C2211yescharacteristic
132#17988747C2211yescharacteristic
133#17988744C2211yescharacteristic, complemented
134#17988743C2211yescharacteristic, complemented
135#17988740C2211yescharacteristic
136#17988736C2211yescharacteristic
137#17988732C2211yescharacteristic, complemented
138#17988727C2211yescharacteristic
139#17988720C2211yescharacteristic
140#17988719C2211yescharacteristic
141C8×Dic146C2211yescharacteristic, complemented
142#17988711C2211yescharacteristic, complemented
143#17988681C2211yescharacteristic, complemented
144#17988679C2211yescharacteristic, complemented
145#17988679C2211yescharacteristic, complemented
146#17988679C2211yescharacteristic, complemented
147#17988678C2211yescharacteristic, complemented
148#17988678C2211yescharacteristic, complemented
149#17988678C2211yescharacteristic, complemented
150C4×#11924017C2211yescharacteristic
151SD16×Dic73C2211yescharacteristic, complemented
152SD16×Dic73C2211yescharacteristic, complemented
153C4×#11924015C2211yescharacteristic
154#17988674C2211yescharacteristic
155#17988674C2211yescharacteristic, complemented
156C4×#11924016C2211yescharacteristic, complemented
157#17988672C2211yescharacteristic
158#17988672C2211yescharacteristic
159#17988672C2211yescharacteristic
160#17988672C2211yescharacteristic
161#17988672C2211yescharacteristic
162#17988672C2211yescharacteristic, complemented
163#17988672C2211yescharacteristic, complemented
164#17988672C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic
172C8×C22⋊D73C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic
174#17988650C2211yescharacteristic, complemented
175#17988639C2211yescharacteristic, complemented
176#17988637C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988623C2211yescharacteristic, complemented
179C2×#14556522C2211yescharacteristic, complemented
180#106×D73C2211yescharacteristic, complemented
181#17988584C2211yescharacteristic
182#103×D73C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic
184#102×D73C2211yescharacteristic
185C2×C8×Dic73C2211yescharacteristic, complemented
186C2×C8×Dic73C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#548×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027D411yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556611—24no—
214C2×Dic292C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015—24no—
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226SD16×D73—24no—
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556590—21no—
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556589—21no—
237#14556589C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556583—21no—
249#14556583C2311yescharacteristic
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556579C2311yescharacteristic
258#14556578—21no—
259#14556578C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556576—21no—
264#14556576—21no—
265#14556574—21no—
266#14556573—21no—
267#14556573—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556571—21no—
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570—21no—
280#14556570—21no—
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556567—21no—
291#14556567C2311yescharacteristic
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—
305Q8×Dic73—21no—
306Q8×Dic73—21no—
307Q8×Dic73C2311yescharacteristic
308Q8×Dic73C2311yescharacteristic
309Q8×Dic73C2311yescharacteristic
310Q8×Dic73C2311yescharacteristic
311Q8×Dic73C2311yescharacteristic
312C4×Dic146—21no—
313C4×Dic146—21no—
314C4×Dic146C2311yescharacteristic
315C4×Dic146C2311yescharacteristic
316#14556556—21no—
317#14556556—21no—
318#14556556D411yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321#14556556C2311yescharacteristic
322C4×D292—21no—
323C4×D292C2311yescharacteristic
324D4×Dic73—21no—
325D4×Dic73—21no—
326D4×Dic73—21no—
327D4×Dic73—21no—
328D4×Dic73D411yescharacteristic
329D4×Dic73C2311yescharacteristic
330D4×Dic73C2311yescharacteristic
331D4×Dic73C2311yescharacteristic
332#14556553—21no—
333#14556553—21no—
334#14556553—21no—
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551D411yescharacteristic
353#14556551D411yescharacteristic
354#14556550—21no—
355#14556550C2311yescharacteristic
356#14556549—21no—
357#14556549—21no—
358#14556549D411yescharacteristic
359#14556548—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547D411yescharacteristic
367#14556547D411yescharacteristic
368C2×C4⋊Dic73—21no—
369C2×C4⋊Dic73C2311yescharacteristic
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73C2311yescharacteristic
381C2×C4×Dic73C2311yescharacteristic
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429C4×#10596831C2311yescharacteristic
430C8×Dic73C2311yescharacteristic
431C8×Dic73C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×Q8×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#126×C73—21no—
446#125×C73C2311yescharacteristic
447#124×C73—21no—
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452#121×C73—21no—
453#121×C73—21no—
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924027—24no—
486#11924027—44no—
487#11924027—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—22no—
495Q8×D73—41no—
496C2×D292—22no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—41no—
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73C2×D411yescharacteristic
509C2×C22⋊D73C2×D411yescharacteristic
510D4×D73—22no—
511D4×D73—41no—
512D4×D73—44no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C22×Dic73C2×D411yescharacteristic
520C22×Dic73C2×D411yescharacteristic
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—82no—
532C2×C4×D73—82no—
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536Dic292—41no—
537#11924018—22no—
538#11924018—41no—
539#11924017—22no—
540#11924017—41no—
541#11924016—22no—
542#11924016—22no—
543#11924015—22no—
544#11924015—22no—
545#11924015—22no—
546#11924015#4114yescomplemented
547#11924013—22no—
548#11924013—41no—
549C2×#10596831—22no—
550C2×#10596831—22no—
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C8×D73—22no—
556C8×D73—41no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640#41×C73—22no—
641#41×C73—41no—
642C2×Q8×C73—21no—
643C2×Q8×C73—22no—
644C2×Q8×C73—41no—
645C2×Q8×C73C2411yescharacteristic
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73C2411yescharacteristic
659C22×C4×C73C2411yescharacteristic
660SD16×C73—22no—
661SD16×C73—41no—
662D8×C73—41no—
663C2×C8×C73—41no—
664C2×C8×C73—41no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73C22×D411yescharacteristic
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—42no—
709Q8×C73C2×#4112yes—
710D4×C73—22no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73—42no—
718D4×C73—81no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—81no—
732C2×C4×C73—81no—
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C2511yescharacteristic
738C22⋊D73—22no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—81no—
744C22⋊D73—81no—
745C22⋊D73#13514yescomplemented
746C2×Dic73—22no—
747C2×Dic73—22no—
748C2×Dic73—22no—
749C2×Dic73—22no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—42no—
757C2×Dic73—42no—
758C2×Dic73—42no—
759C2×Dic73—42no—
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767D292—21no—
768D292—21no—
769D292—21no—
770D292—42no—
771D292—42no—
772D292C2×#4112yes—
773C4×D73—22no—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—22no—
777C4×D73—42no—
778C4×D73—42no—
779C4×D73—42no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—81no—
784C4×D73—81no—
785C4×D73—81no—
786C4×D73—81no—
787Dic146—22no—
788Dic146—21no—
789Dic146—21no—
790Dic146—21no—
791Dic146—21no—
792Dic146—42no—
793Dic146—42no—
794Dic146—81no—
795C8×C73—21no—
796C8×C73—21no—
797C8×C73—21no—
798C8×C73—21no—
799#10596831—21no—
800#10596831—21no—
801#10596831—21no—
802#10596831C2×#4112yes—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—21no—
806C22×C73—21no—
807C22×C73—21no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73C2×#13512yes—
815C22×C73C23×D411yescharacteristic
816C2×D73—21no—
817C2×D73—21no—
818C2×D73—22no—
819C2×D73—41no—
820C2×D73—41no—
821C2×D73—41no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—84no—
825C2×D73—84no—
826C2×D73C2×#13512yes—
827C4×C73—22no—
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—21no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73C22×#4111yescharacteristic
838C4×C73#58511yescharacteristic
839Dic73—21no—
840Dic73—21no—
841Dic73—21no—
842Dic73—21no—
843Dic73—21no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73—41no—
848Dic73—41no—
849Dic73—41no—
850Dic73C2×#13512yes—
851Dic73#57712yes—
852#61432—731nomaximal, Sylow
853C2×C73—22no—
854C2×C73—41no—
855C2×C73—81no—
856C2×C73—81no—
857C2×C73D4×#4111yescharacteristic
858C2×C73C22×#13511yescharacteristic
859C2×C73C2×#57711yescharacteristic
860D73—22no—
861D73—42no—
862D73—81no—
863#3482—731no—
864#3481—731no—
865#3394—731no—
866#3381—731no—
867#3365—731no—
868#3360—731no—
869#3337—731no—
870#3337—731no—
871#3335—731no—
872#3301—731no—
873#3301D7311yescharacteristic, complemented
874#3299—731no—
875#3296—731no—
876#3296—731no—
877#3294—731no—
878#3282—731no—
879#3282—731no—
880D4×SD16—731no—
881#3168—731no—
882#3168—731no—
883#3167—731no—
884#3108—731no—
885#3108—731no—
886#3107—731no—
887#3106—731no—
888#3105—731no—
889#3105—731no—
890C8×#41—731no—
891C4×#135—731no—
892C2×C4×SD16—731no—
893C2×C4×SD16—731no—
894C73#6143211yescharacteristic, complemented, Sylow
895C2×#135—731no—
896C22×SD16—731no—
897C22×SD16—731no—
898#559—731no—
899#557—731no—
900#556—731no—
901#556—1461no—
902#554—731no—
903#554—731no—
904#553—731no—
905#553—1461no—
906#553C2×D7311yescharacteristic
907#552—731no—
908#552—731no—
909#552—1461no—
910#552—1461no—
911#551—1461no—
912#551—1461no—
913D4×Q8—731no—
914#548—731no—
915#548C2×D7311yescharacteristic, complemented
916#547—731no—
917#547—1461no—
918#546—731no—
919#546—731no—
920#546—1461no—
921D42—731no—
922#533—731no—
923#533—1461no—
924#532—731no—
925#529—731no—
926#529—731no—
927#529—731no—
928#529—731no—
929#529—1461no—
930#529—1461no—
931#529—1461no—
932#525—1461no—
933#525—1461no—
934C4×#41—731no—
935C4×#41—731no—
936C4×#41—731no—
937C4×#41—1461no—
938C2×C4×Q8—731no—
939C2×C4×Q8—731no—
940C2×C4×D4—731no—
941C2×C4×D4—731no—
942C2×C4×D4—1461no—
943#499—731no—
944#499—731no—
945#498—731no—
946#495—731no—
947#495—731no—
948#492—731no—
949#488—731no—
950#488—731no—
951#488—731no—
952#488C2×D7311yescharacteristic, complemented
953#487—731no—
954#486—731no—
955#485—731no—
956#485C2×D7311yescharacteristic, complemented
957#484—731no—
958#484—731no—
959#483—731no—
960#483—731no—
961#482—731no—
962#482—731no—
963#481—731no—
964#481C2×D7311yescharacteristic, complemented
965#480—731no—
966#480—731no—
967#479—731no—
968#479—731no—
969#479—731no—
970#479C2×D7311yescharacteristic, complemented
971#478—731no—
972#478—731no—
973#478—731no—
974#478—731no—
975#477—731no—
976#476—731no—
977#475—731no—
978#474—731no—
979#467—731no—
980#467—731no—
981#466—731no—
982#466C2×D7311yescharacteristic
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#465C2×D7311yescharacteristic, complemented
991#464—731no—
992#464—731no—
993#464—731no—
994#464—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#463C2×D7311yescharacteristic, complemented
999#462—731no—
1000#461—731no—
1001#460—731no—
1002#459—731no—
1003#452—731no—
1004#452—731no—
1005#451—731no—
1006#451—731no—
1007#450—731no—
1008#450—731no—
1009#449—731no—
1010#449C2×D7311yescharacteristic, complemented
1011#448—731no—
1012#448C2×D7311yescharacteristic
1013#447—731no—
1014#447—731no—
1015C8×Q8—731no—
1016C8×Q8—731no—
1017C4×Q16—731no—
1018C4×Q16—731no—
1019C4×Q16—731no—
1020C4×Q16—731no—
1021C4×SD16—731no—
1022C4×SD16—731no—
1023C4×SD16—731no—
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×SD16—731no—
1037C4×SD16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040C4×SD16C2×D7311yescharacteristic, complemented
1041C4×D8—731no—
1042C4×D8—731no—
1043C4×D8—731no—
1044C4×D8—731no—
1045C8×D4—731no—
1046C8×D4—731no—
1047C8×D4—731no—
1048C8×D4—731no—
1049C8×D4—731no—
1050C8×D4C2×D7311yescharacteristic, complemented
1051#431—731no—
1052#431—731no—
1053#431—731no—
1054#427—731no—
1055C2×#106—731no—
1056C2×#106—731no—
1057#416—731no—
1058#416C2×D7311yescharacteristic, complemented
1059C2×#103—731no—
1060C2×#103C2×D7311yescharacteristic, complemented
1061C2×#102—731no—
1062C2×#102—731no—
1063C2×C4×C8—731no—
1064C2×C4×C8—731no—
1065C2×C4×C8—731no—
1066C2×#41—731no—
1067C2×#41—731no—
1068C2×#41—1461no—
1069C2×#41—1461no—
1070C2×#41C22×D7311yescharacteristic
1071C22×Q8—731no—
1072C22×Q8C22×D7311yescharacteristic
1073C22×D4—731no—
1074C22×D4—731no—
1075C22×D4—1461no—
1076C23×C4—1461no—
1077C23×C4—1461no—
1078#135—1464no—
1079C2×Q16—731no—
1080C2×Q16—731no—
1081C2×Q16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—731no—
1087C2×SD16—731no—
1088C2×SD16—731no—
1089C2×SD16—731no—
1090C2×SD16—1464no—
1091C2×SD16—1464no—
1092C2×SD16C22×D7311yescharacteristic
1093C2×SD16C22×D7311yescharacteristic
1094C2×D8—731no—
1095C2×D8—731no—
1096C2×D8C22×D7311yescharacteristic
1097C22×C8—731no—
1098C22×C8—731no—
1099C22×C8—731no—
1100C22×C8—731no—
1101C22×C8C22×D7311yescharacteristic
1102C22×C8C22×D7311yescharacteristic
1103C4⋊Q8—731no—
1104C4⋊Q8—731no—
1105C4⋊Q8—731no—
1106C4⋊Q8—1461no—
1107C4⋊Q8—1461no—
1108#127—731no—
1109#126—21no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#126—1461no—
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#125—731no—
1120#125—731no—
1121#125—731no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125—1461no—
1127#125—1461no—
1128#125C22×D7311yescharacteristic
1129#124—21no—
1130#124—731no—
1131#124—731no—
1132#124—731no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124C22×D7311yescharacteristic
1137#123—21no—
1138#123—1461no—
1139#123—1461no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151C22⋊Q8—21no—
1152C22⋊Q8—731no—
1153C22⋊Q8—731no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8C22×D7311yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—1461no—
1175#121—1461no—
1176#121—1461no—
1177#121—1461no—
1178#121—1461no—
1179#121—1461no—
1180#121C22×D7311yescharacteristic
1181#121C22×D7311yescharacteristic
1182#121C22×D7311yescharacteristic
1183#120—1461no—
1184#120—1461no—
1185#120—1461no—
1186#120—1461no—
1187C4×Q8—731no—
1188C4×Q8—731no—
1189C4×Q8—731no—
1190C4×Q8—731no—
1191C4×Q8—731no—
1192C4×Q8—731no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—1461no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4C22×D7311yescharacteristic
1240C4×D4C22×D7311yescharacteristic
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—731no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117C22×D7311yescharacteristic
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—731no—
1259C2×C4⋊C4—1461no—
1260C2×C4⋊C4—1461no—
1261C2×C4⋊C4—1461no—
1262C2×C4⋊C4C22×D7311yescharacteristic
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C22⋊C4—1461no—
1266C2×C22⋊C4—1461no—
1267C2×C42—731no—
1268C2×C42—731no—
1269C2×C42—731no—
1270C2×C42—1461no—
1271C2×C42—1461no—
1272C2×C42—1461no—
1273C2×C42—1461no—
1274#107—731no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107—731no—
1279#107C22×D7311yescharacteristic
1280#106—731no—
1281#106—731no—
1282#106—731no—
1283#106—731no—
1284#106—731no—
1285#106—731no—
1286#106—731no—
1287#106—731no—
1288#106C22×D7311yescharacteristic
1289#106C22×D7311yescharacteristic
1290C4⋊C8—731no—
1291C4⋊C8—731no—
1292C4⋊C8—731no—
1293C4⋊C8—731no—
1294C4⋊C8—731no—
1295C4⋊C8C22×D7311yescharacteristic
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#103—731no—
1306#103C22×D7311yescharacteristic
1307#103C22×D7311yescharacteristic
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#103C22×D7311yescharacteristic
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102C22×D7311yescharacteristic
1325#102C22×D7311yescharacteristic
1326#102C22×D7311yescharacteristic
1327#102C22×D7311yescharacteristic
1328C22⋊C8—731no—
1329C22⋊C8—731no—
1330C22⋊C8—731no—
1331C22⋊C8—731no—
1332C22⋊C8C22×D7311yescharacteristic
1333C22⋊C8C22×D7311yescharacteristic
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8—731no—
1337C4×C8—731no—
1338C4×C8—731no—
1339C4×C8—731no—
1340C4×C8—731no—
1341C4×C8—731no—
1342C4×C8—731no—
1343C4×C8C22×D7311yescharacteristic
1344C24—1461no—
1345C24—1461no—
1346#41—22no—
1347#41—41no—
1348#41—2921no—
1349#41—2924no—
1350#41—5842no—
1351#41—1462no—
1352#41—1464no—
1353C2×Q8—21no—
1354C2×Q8—22no—
1355C2×Q8—41no—
1356C2×Q8—2921no—
1357C2×Q8—731no—
1358C2×Q8—731no—
1359C2×Q8—731no—
1360C2×Q8—1461no—
1361C2×Q8—1461no—
1362C2×Q8—1461no—
1363C2×Q8—1462no—
1364C2×Q8C23×D7311yescharacteristic
1365C2×Q8C23×D7311yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—2921no—
1371C2×D4—2924no—
1372C2×D4—2921no—
1373C2×D4—731no—
1374C2×D4—731no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—1461no—
1378C2×D4—1462no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4—1461no—
1382C2×D4—1462no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4D4×D7311yescharacteristic
1388C2×D4C23×D7311yescharacteristic
1389C2×D4C23×D7311yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—5842no—
1395C22×C4—5842no—
1396C22×C4—731no—
1397C22×C4—731no—
1398C22×C4—731no—
1399C22×C4—731no—
1400C22×C4—731no—
1401C22×C4—731no—
1402C22×C4—731no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4—1461no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4C23×D7311yescharacteristic
1418C22×C4C23×D7311yescharacteristic
1419Q16—2921no—
1420Q16—2921no—
1421Q16—1462no—
1422SD16—22no—
1423SD16—41no—
1424SD16—2921no—
1425SD16—734no—
1426SD16—1462no—
1427SD16—1462no—
1428SD16—1462no—
1429SD16—1462no—
1430SD16—1462no—
1431SD16—1462no—
1432D8—41no—
1433D8—2921no—
1434D8—1462no—
1435C2×C8—41no—
1436C2×C8—41no—
1437C2×C8—2921no—
1438C2×C8—731no—
1439C2×C8—731no—
1440C2×C8—731no—
1441C2×C8—731no—
1442C2×C8—1462no—
1443C2×C8—1462no—
1444C2×C8—1462no—
1445C2×C8C23×D7311yescharacteristic
1446C2×C8C23×D7311yescharacteristic
1447C2×C8C23×D7311yescharacteristic
1448C2×C8C23×D7311yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—731no—
1461C4⋊C4—731no—
1462C4⋊C4—731no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4D4×D7311yescharacteristic
1491C4⋊C4C23×D7311yescharacteristic
1492C4⋊C4C23×D7311yescharacteristic
1493C4⋊C4C23×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—731no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4D4×D7311yescharacteristic
1532C22⋊C4D4×D7311yescharacteristic
1533C42—21no—
1534C42—21no—
1535C42—731no—
1536C42—731no—
1537C42—731no—
1538C42—731no—
1539C42—731no—
1540C42—731no—
1541C42—731no—
1542C42—731no—
1543C42—731no—
1544C42—1461no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42—1461no—
1549C42—1461no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42C23×D7311yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—2922no—
1558C23—2922no—
1559C23—2922no—
1560C23—2922no—
1561C23—5841no—
1562C23—5841no—
1563C23—731no—
1564C23—1461no—
1565C23—1461no—
1566C23C2×D4×D7311yescharacteristic
1567C23C2×D4×D7311yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—42no—
1572Q8—2922no—
1573Q8—2922no—
1574Q8—5841no—
1575Q8—1462no—
1576Q8—1461no—
1577Q8—1461no—
1578Q8—1461no—
1579Q8—1461no—
1580Q8#41×D7312yes—
1581D4—22no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—42no—
1587D4—42no—
1588D4—42no—
1589D4—81no—
1590D4—2922no—
1591D4—2922no—
1592D4—2922no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—5841no—
1597D4—5841no—
1598D4—734no—
1599D4—732no—
1600D4—1462no—
1601D4—1461no—
1602D4—1461no—
1603D4—1461no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—2922no—
1619C2×C4—2922no—
1620C2×C4—2922no—
1621C2×C4—2922no—
1622C2×C4—2922no—
1623C2×C4—2922no—
1624C2×C4—2922no—
1625C2×C4—2922no—
1626C2×C4—2922no—
1627C2×C4—2922no—
1628C2×C4—5841no—
1629C2×C4—5841no—
1630C2×C4—5841no—
1631C2×C4—5841no—
1632C2×C4—731no—
1633C2×C4—731no—
1634C2×C4—731no—
1635C2×C4—731no—
1636C2×C4—731no—
1637C2×C4—731no—
1638C2×C4—731no—
1639C2×C4—1462no—
1640C2×C4—1462no—
1641C2×C4—1461no—
1642C2×C4—1461no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4—1461no—
1647C2×C4—1462no—
1648C2×C4—1462no—
1649C2×C4—1462no—
1650C2×C4—1462no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4C2×D4×D7311yescharacteristic
1654C2×C4C2×D4×D7311yescharacteristic
1655C2×C4C2×D4×D7311yescharacteristic
1656C2×C4C2×D4×D7311yescharacteristic
1657C2×C4C24×D7311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—732no—
1663C8—1461no—
1664C8—1461no—
1665C8—1461no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—2921no—
1678C22—2921no—
1679C22—2921no—
1680C22—2921no—
1681C22—2921no—
1682C22—5844no—
1683C22—5844no—
1684C22—732no—
1685C22—1462no—
1686C22—1461no—
1687C22—1461no—
1688C22#135×D7312yes—
1689C22C22×D4×D7311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—22no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—2921no—
1701C4—2921no—
1702C4—2921no—
1703C4—2921no—
1704C4—2921no—
1705C4—2921no—
1706C4—732no—
1707C4—732no—
1708C4—1461no—
1709C4—1461no—
1710C4—1461no—
1711C4—1461no—
1712C4—1461no—
1713C4C2×#41×D7311yescharacteristic
1714C4#1798942211yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—81no—
1718C2—81no—
1719C2—2922no—
1720C2—5841no—
1721C2—1462no—
1722C2#2262341511yescharacteristic
1723C2C2×#135×D7311yescharacteristic
1724C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3301C2
socleC22×C73C23×D4
hypercenter#3301D73
hypocenterC73#61432
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #22623547C2semidirect
2. #22623538C2semidirect
3. #22622930C2semidirect
4. #22622809C2semidirect
5. #22622628C2semidirect
6. #22622577C2semidirect
7. #22622313C2semidirect
8. #22622304C2semidirect
9. #22622286C2semidirect
10. #22621834C2semidirect
11. #22621803C2semidirect
12. #22621768C2semidirect
13. #22621761C2semidirect
14. #22621739C2semidirect
15. #22621641C2semidirect
16. #22621639C2semidirect
17. #22621620C2semidirect
18. #22620500C2semidirect
19. #22620496C2semidirect
20. #22620485C2semidirect
21. #22620016C2semidirect
22. #22620006C2semidirect
23. #22619997C2semidirect
24. #22619984C2semidirect
25. #22619977C2semidirect
26. #22619975C2semidirect
27. C8×#11924027C2semidirect
28. #22618699C2semidirect
29. C2×#17988672C2semidirect
30. C4×SD16×D73C2semidirect
31. C73×#3301C2semidirect
36. #17989313C22semidirect
38. #17989306C22semidirect
44. #17989277C22semidirect
46. #17989271C22semidirect
50. #17989244C22semidirect
58. #17989139C22semidirect
64. #17989118C22semidirect
66. #17989116C22semidirect
69. #41×Dic73C22semidirect
73. C2×Q8×Dic73C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
81. #17988970C22semidirect
82. #17988969C22semidirect
84. #17988942C22semidirect
85. #17988940C22semidirect
86. #17988940C22semidirect
87. #17988936C22semidirect
89. #17988928C22semidirect
90. #17988922C22semidirect
91. #17988921C22semidirect
92. #17988919C22semidirect
93. #17988918C22semidirect
94. #17988912C22semidirect
95. #17988908C22semidirect
96. #17988904C22semidirect
99. #17988892C22semidirect
100. #17988892C22semidirect
101. #17988891C22semidirect
103. #17988887C22semidirect
105. #17988886C22semidirect
106. #17988880C22semidirect
107. #17988875C22semidirect
108. #17988871C22semidirect
110. #17988828C22semidirect
111. #17988827C22semidirect
114. #17988818C22semidirect
115. #17988816C22semidirect
116. #17988815C22semidirect
118. #17988814C22semidirect
119. #17988814C22semidirect
120. #17988810C22semidirect
121. #17988809C22semidirect
122. #17988807C22semidirect
123. #17988807C22semidirect
125. #17988801C22semidirect
127. #17988796C22semidirect
133. #17988744C22semidirect
134. #17988743C22semidirect
137. #17988732C22semidirect
141. C8×Dic146C22semidirect
142. #17988711C22semidirect
143. #17988681C22semidirect
144. #17988679C22semidirect
145. #17988679C22semidirect
146. #17988679C22semidirect
147. #17988678C22semidirect
148. #17988678C22semidirect
149. #17988678C22semidirect
151. SD16×Dic73C22semidirect
152. SD16×Dic73C22semidirect
155. #17988674C22semidirect
156. C4×#11924016C22semidirect
162. #17988672C22semidirect
163. #17988672C22semidirect
164. #17988672C22semidirect
165. #17988672C22semidirect
166. D8×Dic73C22semidirect
169. #17988667C22semidirect
170. D4×#10596831C22semidirect
172. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988639C22semidirect
176. #17988637C22semidirect
177. #17988637C22semidirect
178. #17988623C22semidirect
179. C2×#14556522C22semidirect
180. #106×D73C22semidirect
182. #103×D73C22semidirect
185. C2×C8×Dic73C22semidirect
186. C2×C8×Dic73C22semidirect
187. C4×C8×D73C22semidirect
189. #548×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #481×C73C22semidirect
193. #479×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#103×C73C22semidirect
546. #11924015#41semidirect
745. C22⋊D73#135semidirect
873. #3301D73semidirect
894. C73#61432semidirect
915. #548C2×D73semidirect
952. #488C2×D73semidirect
956. #485C2×D73semidirect
964. #481C2×D73semidirect
970. #479C2×D73semidirect
990. #465C2×D73semidirect
998. #463C2×D73semidirect
1010. #449C2×D73semidirect
1040. C4×SD16C2×D73semidirect
1050. C8×D4C2×D73semidirect
1058. #416C2×D73semidirect
1060. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235472
#226235382
#226229302
#226228092
#226226282
#226225772
#226223132
#226223042
#226222862
#226218342
#226218032
#226217682
#226217612
#226217392
#226216412
#226216392
#226216202
#226205002
#226204962
#226204852
#226200162
#226200062
#226199972
#226199842
#226199772
#226199752
C8×#119240272
#226186992
C2×#179886722
C4×SD16×D732
C73×#33012
#6143273