Finite Group Databasebeta

← #33979773

Subgroups — #33979773

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#22623873C211yesmaximal, characteristic, complemented
3#22623000C211yesmaximal, characteristic, complemented
4#22622942C211yesmaximal, characteristic, complemented
5#22622677C211yesmaximal, characteristic, complemented
6#22622575C211yesmaximal, characteristic, complemented
7#22622232C211yesmaximal, characteristic, complemented
8#22622206C211yesmaximal, characteristic, complemented
9#22622185C211yesmaximal, characteristic, complemented
10#22622064C211yesmaximal, characteristic, complemented
11#22621888C211yesmaximal, characteristic, complemented
12#22621777C211yesmaximal, characteristic, complemented
13#22621632C211yesmaximal, characteristic, complemented
14#22621554C211yesmaximal, characteristic, complemented
15#22621536C211yesmaximal, characteristic, complemented
16#22621536C211yesmaximal, characteristic, complemented
17#22621456C211yesmaximal, characteristic, complemented
18#22621432C211yesmaximal, characteristic, complemented
19#22621378C211yesmaximal, characteristic, complemented
20#22621340C211yesmaximal, characteristic, complemented
21#22621330C211yesmaximal, characteristic, complemented
22#22621045C211yesmaximal, characteristic, complemented
23#22620981C211yesmaximal, characteristic, complemented
24#22620911C211yesmaximal, characteristic, complemented
25#22620172C211yesmaximal, characteristic, complemented
26#22620145C211yesmaximal, characteristic, complemented
27#22619977C211yesmaximal, characteristic, complemented
28#22619441C211yesmaximal, characteristic, complemented
29#22619390C211yesmaximal, characteristic, complemented
30#22619078C211yesmaximal, characteristic, complemented
31C73×#3045C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556615C2211yescharacteristic, complemented
35C2×SD16×D73C2211yescharacteristic, complemented
36#17989332—21no—
37#17989326—21no—
38#17989323C2211yescharacteristic, complemented
39#17989322C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989286—21no—
43#17989285C2211yescharacteristic
44#17989280—21no—
45#17989278C2211yescharacteristic, complemented
46#17989268—21no—
47#17989261—21no—
48#17989261—21no—
49#17989257C2211yescharacteristic
50#17989245C2211yescharacteristic
51#17989244C2211yescharacteristic, complemented
52#17989238C2211yescharacteristic
53#17989236C2211yescharacteristic, complemented
54#17989233—21no—
55#17989231C2211yescharacteristic, complemented
56#17989231C2211yescharacteristic, complemented
57#17989225C2211yescharacteristic
58#17989225C2211yescharacteristic
59D4×D292C2211yescharacteristic, complemented
60#17989209C2211yescharacteristic, complemented
61#17989199C2211yescharacteristic, complemented
62#17989192C2211yescharacteristic
63#17989191C2211yescharacteristic, complemented
64#17989187—21no—
65#17989184—21no—
66#17989182—21no—
67#17989172—21no—
68#17989172—21no—
69#17989170—21no—
70#17989157C2211yescharacteristic, complemented
71#17989135C2211yescharacteristic, complemented
72#17989124C2211yescharacteristic, complemented
73#17989116C2211yescharacteristic, complemented
74#17989115C2211yescharacteristic
75#17989096—21no—
76C2×#14556576—21no—
77#17989059C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic, complemented
79#17988980C2211yescharacteristic, complemented
80#17988977C2211yescharacteristic
81#17988968C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988963C2211yescharacteristic
85#17988951C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988941C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988895C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic, complemented
104#17988887C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988842C2211yescharacteristic, complemented
108#17988839C2211yescharacteristic
109#17988839C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic, complemented
112#17988833C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988830C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic
116#17988816C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988813C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988801C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic
127#17988800C2211yescharacteristic
128#17988800C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic, complemented
131#17988797C2211yescharacteristic, complemented
132#17988793C2211yescharacteristic, complemented
133#17988793C2211yescharacteristic, complemented
134#17988792C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988788C2211yescharacteristic, complemented
138#17988788C2211yescharacteristic, complemented
139#17988779C2211yescharacteristic, complemented
140#17988779C2211yescharacteristic, complemented
141#17988749C2211yescharacteristic
142#17988749C2211yescharacteristic
143#17988746C2211yescharacteristic, complemented
144#17988746C2211yescharacteristic, complemented
145#17988746C2211yescharacteristic, complemented
146#17988741C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988733C2211yescharacteristic
149#17988733C2211yescharacteristic
150#17988733C2211yescharacteristic, complemented
151#17988732C2211yescharacteristic, complemented
152#17988732C2211yescharacteristic, complemented
153#17988727C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic, complemented
155#17988721C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic
157#17988719C2211yescharacteristic
158#17988719C2211yescharacteristic, complemented
159#17988716C2211yescharacteristic, complemented
160#17988711C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165C4×#11924018C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167C4×#11924016C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic
170D8×Dic73C2211yescharacteristic
171#17988667C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988664C2211yescharacteristic, complemented
174#17988663C2211yescharacteristic, complemented
175#17988663C2211yescharacteristic, complemented
176#17988658C2211yescharacteristic, complemented
177#17988657C2211yescharacteristic, complemented
178C8×C22⋊D73C2211yescharacteristic, complemented
179#17988648C2211yescharacteristic, complemented
180#17988647C2211yescharacteristic, complemented
181#17988639C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988609C2211yescharacteristic, complemented
184#17988594C2211yescharacteristic, complemented
185#17988585C2211yescharacteristic, complemented
186#17988585C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic
190#535×C73C2211yescharacteristic, complemented
191#520×C73C2211yescharacteristic
192#464×C73C2211yescharacteristic, complemented
193#464×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#460×C73C2211yescharacteristic, complemented
197#460×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic
199#459×C73C2211yescharacteristic
200#424×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556615—42no—
213#14556615—42no—
214#14556615—42no—
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225SD16×D73—42no—
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556587—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586D411yescharacteristic
244#14556585—21no—
245#14556585—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584D411yescharacteristic
252#14556583C2311yescharacteristic
253#14556583C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581D411yescharacteristic
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556579—21no—
263#14556578—21no—
264#14556578—21no—
265#14556578C2311yescharacteristic
266#14556578C2311yescharacteristic
267#14556578C2311yescharacteristic
268#14556577—21no—
269#14556577D411yescharacteristic
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576D411yescharacteristic
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556574—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573D411yescharacteristic
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572—21no—
292#14556572—21no—
293#14556572—21no—
294#14556572—21no—
295#14556570—21no—
296#14556570—21no—
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556569—21no—
300#14556569—21no—
301#14556569D411yescharacteristic
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556567C2311yescharacteristic
309#14556567C2311yescharacteristic
310#14556567C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556565—21no—
314#14556565—21no—
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564D411yescharacteristic
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562C2311yescharacteristic
334#14556562C2311yescharacteristic
335#14556562C2311yescharacteristic
336#14556561—21no—
337#14556561—21no—
338#14556560—21no—
339#14556560—21no—
340#14556559—21no—
341#14556559—21no—
342Q8×Dic73C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346C4×D292—21no—
347C4×D292—21no—
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350C4×D292C2311yescharacteristic
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73—21no—
354D4×Dic73—21no—
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358D4×Dic73C2311yescharacteristic
359D4×Dic73C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73C2311yescharacteristic
367C4×C22⋊D73C2311yescharacteristic
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556549C2311yescharacteristic
373#14556548—21no—
374#14556548—21no—
375#14556548C2311yescharacteristic
376#14556547—21no—
377#14556547—21no—
378C2×#11924007—21no—
379C2×#11924007—21no—
380C4⋊C4×D73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×C22⋊Dic73—21no—
383C2×#11924005—21no—
384C2×#11924005—21no—
385C2×#11924005—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428C22⋊#10596831C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442AGL(1,ℤ/8)×C73—42no—
443#135×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454#127×C73C2311yescharacteristic
455#127×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460#120×C73—21no—
461#120×C73—21no—
462C4×Q8×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×D4×C73—21no—
465C4×D4×C73—21no—
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73—21no—
469#117×C73C2311yescharacteristic
470C2×C4⋊C4×C73—21no—
471C2×C4⋊C4×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—82no—
487#11924027—41no—
488#11924027—41no—
489#11924027—41no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—41no—
499Q8×D73—41no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—82no—
505C2×D292C2×D411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
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⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73C2×D411yescharacteristic
519C2×C22⋊D73C2×D411yescharacteristic
520D4×D73—22no—
521D4×D73—22no—
522D4×D73—41no—
523D4×D73—41no—
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—82no—
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543#11924018—41no—
544#11924018—41no—
545#11924017—41no—
546#11924017—41no—
547#11924017—41no—
548#11924017—41no—
549#11924016—22no—
550#11924016—22no—
551#11924015—41no—
552#11924015—41no—
553#11924013—41no—
554#11924013—41no—
555#11924013—41no—
556#11924013—41no—
557#11924013—41no—
558#11924013—41no—
559#11924011—41no—
560#11924011—41no—
561#11924011—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—41no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊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⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C24×C73—21no—
648#41×C73—22no—
649#41×C73—41no—
650#41×C73—41no—
651#41×C73—41no—
652C2×Q8×C73C2411yescharacteristic
653C2×Q8×C73C2411yescharacteristic
654C2×D4×C73—21no—
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—41no—
662C2×D4×C73—41no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73C2411yescharacteristic
673Q16×C73—41no—
674SD16×C73—22no—
675SD16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678D8×C73—22no—
679D8×C73—22no—
680D8×C73—22no—
681M16×C73—41no—
682C2×C8×C73—41no—
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C4⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
701C22⋊C4×C73C2×D411yescharacteristic
702C42×C73—21no—
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—81no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
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—
726Q8×C73—21no—
727Q8×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—42no—
736D4×C73—81no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73H(5,𝔽2)12yes—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—42no—
750C2×C4×C73—81no—
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—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—81no—
779C2×Dic73—81no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792D292—21no—
793D292—21no—
794D292—21no—
795D292—21no—
796D292—41no—
797D292—42no—
798D292—81no—
799D292—81no—
800D292—81no—
801C4×D73—21no—
802C4×D73—21no—
803C4×D73—21no—
804C4×D73—21no—
805C4×D73—41no—
806C4×D73—41no—
807C4×D73—42no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
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—22no—
831C22×C73—21no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—162no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—21no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—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×C73—41no—
868C4×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—42no—
884C2×C73—41no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—41no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#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#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045D7311yescharacteristic, complemented
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)C2×D7311yescharacteristic
931C2×#135C2×D7311yescharacteristic
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—731no—
961#540—1461no—
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#520C2×D7311yescharacteristic
976#518—731no—
977C2×C4×D4—731no—
978#497—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
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#464C2×D7311yescharacteristic, complemented
1020#464C2×D7311yescharacteristic, complemented
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
1033#463C2×D7311yescharacteristic
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#460C2×D7311yescharacteristic, complemented
1043#460C2×D7311yescharacteristic, complemented
1044#459—731no—
1045#459—731no—
1046#459C2×D7311yescharacteristic
1047#459C2×D7311yescharacteristic
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#449—731no—
1059#449—731no—
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
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#433—731no—
1088#431—731no—
1089#424—731no—
1090#424C2×D7311yescharacteristic, complemented
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417C2×D7311yescharacteristic, complemented
1096#416—731no—
1097C2×#102C2×D7311yescharacteristic, complemented
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41C22×D7311yescharacteristic
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)—42no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—42no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16C22×D7311yescharacteristic
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×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8C22×D7311yescharacteristic
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149#127—731no—
1150#127—1461no—
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—731no—
1168#125—1461no—
1169#125—1461no—
1170#125—1461no—
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—731no—
1185#123—731no—
1186#123—1461no—
1187#123—1461no—
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—731no—
1228#121—731no—
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#121—1461no—
1251#121—1461no—
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×Q8C22×D7311yescharacteristic
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
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—731no—
1279C4×D4—731no—
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—21no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1332C4⋊C8C22×D7311yescharacteristic
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⋊C8—731no—
1372C22⋊C8—731no—
1373#97—731no—
1374#97—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—5842no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
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—41no—
1410C2×D4—41no—
1411C2×D4—2921no—
1412C2×D4—2921no—
1413C2×D4—5842no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—1461no—
1420C2×D4—1461no—
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×D4—1461no—
1435C2×D4C23×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—5842no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
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—41no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—22no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—22no—
1480D8—22no—
1481D8—22no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
1486D8—2921no—
1487D8—2921no—
1488M16—41no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—41no—
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—21no—
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—731no—
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—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23—2922no—
1609C23—2922no—
1610C23—2922no—
1611C23—5841no—
1612C23—5841no—
1613C23—5841no—
1614C23—731no—
1615C23—731no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—2921no—
1624Q8—5841no—
1625Q8—5841no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—2921no—
1645D4—2922no—
1646D4—2922no—
1647D4—2922no—
1648D4—2921no—
1649D4—2921no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4#1455663612yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—42no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—2921no—
1678C2×C4—2921no—
1679C2×C4—2922no—
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—5841no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—5844no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663611yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—2921no—
1783C2—2921no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359611yescharacteristic
1787C2#2262470311yescharacteristic
1788C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3045C2
socleC22×C73C23×D4
hypercenter#3045D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3045

Complements

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

NH ≅ G/Ntype
1. #22624515C2semidirect
2. #22623873C2semidirect
3. #22623000C2semidirect
4. #22622942C2semidirect
5. #22622677C2semidirect
6. #22622575C2semidirect
7. #22622232C2semidirect
8. #22622206C2semidirect
9. #22622185C2semidirect
10. #22622064C2semidirect
11. #22621888C2semidirect
12. #22621777C2semidirect
13. #22621632C2semidirect
14. #22621554C2semidirect
15. #22621536C2semidirect
16. #22621536C2semidirect
17. #22621456C2semidirect
18. #22621432C2semidirect
19. #22621378C2semidirect
20. #22621340C2semidirect
21. #22621330C2semidirect
22. #22621045C2semidirect
23. #22620981C2semidirect
24. #22620911C2semidirect
25. #22620172C2semidirect
26. #22620145C2semidirect
27. #22619977C2semidirect
28. #22619441C2semidirect
29. #22619390C2semidirect
30. #22619078C2semidirect
31. C73×#3045C2semidirect
34. C2×#14556615C22semidirect
35. C2×SD16×D73C22semidirect
38. #17989323C22semidirect
39. #17989322C22semidirect
40. #17989306C22semidirect
41. #17989296C22semidirect
45. #17989278C22semidirect
51. #17989244C22semidirect
53. #17989236C22semidirect
55. #17989231C22semidirect
56. #17989231C22semidirect
59. D4×D292C22semidirect
60. #17989209C22semidirect
61. #17989199C22semidirect
63. #17989191C22semidirect
70. #17989157C22semidirect
71. #17989135C22semidirect
72. #17989124C22semidirect
73. #17989116C22semidirect
77. #17989059C22semidirect
78. C4×D4×D73C22semidirect
79. #17988980C22semidirect
81. #17988968C22semidirect
82. #17988968C22semidirect
83. #17988968C22semidirect
85. #17988951C22semidirect
86. #17988945C22semidirect
87. #17988941C22semidirect
88. #17988940C22semidirect
89. #17988940C22semidirect
90. #17988936C22semidirect
91. #17988922C22semidirect
92. #17988921C22semidirect
93. #17988917C22semidirect
94. #17988910C22semidirect
95. #17988909C22semidirect
96. #17988904C22semidirect
97. #17988896C22semidirect
98. #17988895C22semidirect
99. #17988895C22semidirect
100. #17988894C22semidirect
101. #17988889C22semidirect
102. #17988888C22semidirect
103. #17988888C22semidirect
104. #17988887C22semidirect
105. #17988875C22semidirect
106. #17988865C22semidirect
107. #17988842C22semidirect
109. #17988839C22semidirect
110. #17988836C22semidirect
111. #17988833C22semidirect
112. #17988833C22semidirect
113. #17988830C22semidirect
114. #17988830C22semidirect
116. #17988816C22semidirect
117. #17988816C22semidirect
118. #17988813C22semidirect
119. #17988811C22semidirect
120. #17988804C22semidirect
121. #17988804C22semidirect
122. #17988804C22semidirect
123. #17988801C22semidirect
124. #17988801C22semidirect
125. #17988801C22semidirect
128. #17988800C22semidirect
129. #17988799C22semidirect
130. #17988799C22semidirect
131. #17988797C22semidirect
132. #17988793C22semidirect
133. #17988793C22semidirect
134. #17988792C22semidirect
135. #17988791C22semidirect
136. #17988790C22semidirect
137. #17988788C22semidirect
138. #17988788C22semidirect
139. #17988779C22semidirect
140. #17988779C22semidirect
143. #17988746C22semidirect
144. #17988746C22semidirect
145. #17988746C22semidirect
146. #17988741C22semidirect
147. #17988736C22semidirect
150. #17988733C22semidirect
151. #17988732C22semidirect
152. #17988732C22semidirect
153. #17988727C22semidirect
154. #17988721C22semidirect
155. #17988721C22semidirect
158. #17988719C22semidirect
159. #17988716C22semidirect
160. #17988711C22semidirect
161. #17988699C22semidirect
162. #17988696C22semidirect
163. #17988692C22semidirect
164. #17988687C22semidirect
165. C4×#11924018C22semidirect
166. SD16×Dic73C22semidirect
167. C4×#11924016C22semidirect
168. #17988672C22semidirect
171. #17988667C22semidirect
172. #17988667C22semidirect
173. #17988664C22semidirect
174. #17988663C22semidirect
175. #17988663C22semidirect
176. #17988658C22semidirect
177. #17988657C22semidirect
178. C8×C22⋊D73C22semidirect
179. #17988648C22semidirect
180. #17988647C22semidirect
181. #17988639C22semidirect
182. #17988612C22semidirect
183. #17988609C22semidirect
184. #17988594C22semidirect
185. #17988585C22semidirect
186. #17988585C22semidirect
187. #17988580C22semidirect
190. #535×C73C22semidirect
192. #464×C73C22semidirect
193. #464×C73C22semidirect
196. #460×C73C22semidirect
197. #460×C73C22semidirect
200. #424×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#102×C73C22semidirect
922. #3045D73semidirect
926. C73#62027semidirect
968. #535C2×D73semidirect
1019. #464C2×D73semidirect
1020. #464C2×D73semidirect
1042. #460C2×D73semidirect
1043. #460C2×D73semidirect
1090. #424C2×D73semidirect
1095. #417C2×D73semidirect
1097. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245152
#226238732
#226230002
#226229422
#226226772
#226225752
#226222322
#226222062
#226221852
#226220642
#226218882
#226217772
#226216322
#226215542
#226215362
#226214562
#226214322
#226213782
#226213402
#226213302
#226210452
#226209812
#226209112
#226201722
#226201452
#226199772
#226194412
#226193902
#226190782
C73×#30452
#6202773