Finite Group Databasebeta

← #33968849

Subgroups — #33968849

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623928C211yesmaximal, characteristic, complemented
2#22623879C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622853C211yesmaximal, characteristic, complemented
5#22622622C211yesmaximal, characteristic, complemented
6#22622561C211yesmaximal, characteristic, complemented
7#22622510C211yesmaximal, characteristic, complemented
8#22622437C211yesmaximal, characteristic, complemented
9#22622433C211yesmaximal, characteristic, complemented
10#22621881C211yesmaximal, characteristic, complemented
11#22621874C211yesmaximal, characteristic, complemented
12#22621863C211yesmaximal, characteristic, complemented
13#22621781C211yesmaximal, characteristic, complemented
14#22621774C211yesmaximal, characteristic, complemented
15#22621737C211yesmaximal, characteristic, complemented
16#22621545C211yesmaximal, characteristic, complemented
17#22621471C211yesmaximal, characteristic, complemented
18#22620611C211yesmaximal, characteristic, complemented
19#22620607C211yesmaximal, characteristic, complemented
20#22620505C211yesmaximal, characteristic, complemented
21#22620194C211yesmaximal, characteristic, complemented
22#22620192C211yesmaximal, characteristic, complemented
23#22620172C211yesmaximal, characteristic, complemented
24#22620168C211yesmaximal, characteristic, complemented
25#22620075C211yesmaximal, characteristic, complemented
26#22620075C211yesmaximal, characteristic, complemented
27#22618901C211yesmaximal, characteristic, complemented
28#22618764C211yesmaximal, characteristic, complemented
29#22618762C211yesmaximal, characteristic, complemented
30#135×Dic73C211yesmaximal, characteristic, complemented
31C73×#3268C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33#17989319C2211yescharacteristic
34#17989313C2211yescharacteristic, complemented
35#17989308C2211yescharacteristic
36#17989302C2211yescharacteristic
37#17989301C2211yescharacteristic
38#17989284—21no—
39#17989284C2211yescharacteristic, complemented
40#17989283—21no—
41#17989283C2211yescharacteristic, complemented
42#17989263—21no—
43#17989260—21no—
44#17989257—21no—
45#17989257C2211yescharacteristic, complemented
46#17989256C2211yescharacteristic
47#17989256C2211yescharacteristic, complemented
48D4×Dic146C2211yescharacteristic
49#17989243—21no—
50#17989237—21no—
51#17989237C2211yescharacteristic
52#17989225C2211yescharacteristic
53#17989224—21no—
54D4×C22⋊D73C2211yescharacteristic
55#17989210C2211yescharacteristic
56#17989206C2211yescharacteristic
57#17989191—21no—
58#17989191C2211yescharacteristic, complemented
59#17989190—21no—
60#17989190C2211yescharacteristic, complemented
61#17989174—21no—
62#17989172—21no—
63#17989132—21no—
64#17989132C2211yescharacteristic
65#17989132C2211yescharacteristic, complemented
66#17989117—21no—
67#17989117C2211yescharacteristic
68#17989114—21no—
69C2×#14556577—21no—
70#17989070C2211yescharacteristic, complemented
71#17989069C2211yescharacteristic, complemented
72#17989062C2211yescharacteristic
73#17989059C2211yescharacteristic
74#41×Dic73C2211yescharacteristic
75#41×Dic73C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988991C2211yescharacteristic, complemented
79#17988973C2211yescharacteristic, complemented
80#17988962C2211yescharacteristic
81#17988943C2211yescharacteristic, complemented
82#17988941C2211yescharacteristic, complemented
83#17988933C2211yescharacteristic, complemented
84#17988932C2211yescharacteristic
85#17988932C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988921C2211yescharacteristic, complemented
88#17988920C2211yescharacteristic, complemented
89#17988912C2211yescharacteristic, complemented
90#17988912C2211yescharacteristic, complemented
91#17988912C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic
98#17988899C2211yescharacteristic
99#17988889C2211yescharacteristic
100#17988888C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic
102#17988885C2211yescharacteristic, complemented
103#17988882C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988868C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic
109#17988865C2211yescharacteristic, complemented
110#17988865C2211yescharacteristic, complemented
111#17988840C2211yescharacteristic
112#17988837C2211yescharacteristic
113#17988830C2211yescharacteristic, complemented
114#17988823C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic
116#17988821C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic, complemented
118#17988820C2211yescharacteristic
119#17988818C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic
125#17988785C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic
127#17988780C2211yescharacteristic
128#17988780C2211yescharacteristic
129#17988780C2211yescharacteristic, complemented
130#17988779C2211yescharacteristic, complemented
131#17988748C2211yescharacteristic, complemented
132#17988732C2211yescharacteristic
133#17988732C2211yescharacteristic
134#17988732C2211yescharacteristic, complemented
135#17988731C2211yescharacteristic
136#17988721C2211yescharacteristic
137#17988719C2211yescharacteristic
138#17988719C2211yescharacteristic
139#17988715C2211yescharacteristic, complemented
140#17988711C2211yescharacteristic, complemented
141#17988700C2211yescharacteristic, complemented
142#17988699C2211yescharacteristic
143#17988699C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic
146#17988696C2211yescharacteristic, complemented
147#17988690C2211yescharacteristic, complemented
148#17988690C2211yescharacteristic, complemented
149#17988688C2211yescharacteristic
150#17988688C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic, complemented
152Q16×Dic73C2211yescharacteristic, complemented
153Q16×Dic73C2211yescharacteristic, complemented
154SD16×Dic73C2211yescharacteristic
155SD16×Dic73C2211yescharacteristic
156SD16×Dic73C2211yescharacteristic, complemented
157SD16×Dic73C2211yescharacteristic, complemented
158SD16×Dic73C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic, complemented
160D8×Dic73C2211yescharacteristic
161D8×Dic73C2211yescharacteristic
162D8×Dic73C2211yescharacteristic
163D8×Dic73C2211yescharacteristic, complemented
164#17988669C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic
166#17988667C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic
169#17988658C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic
172#17988650C2211yescharacteristic, complemented
173#17988647C2211yescharacteristic, complemented
174#17988645C2211yescharacteristic, complemented
175#17988641C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178#17988625C2211yescharacteristic, complemented
179#17988583C2211yescharacteristic
180#17988583C2211yescharacteristic, complemented
181#17988583C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988544C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic
190#550×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C22×Dic146—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211#14556618—24no—
212C2×#11924015C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924013C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218C2×#11924013C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C22×#10596831C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556590—21no—
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556587—21no—
229#14556587—21no—
230#14556587C2311yescharacteristic
231#14556587C2311yescharacteristic
232#14556587C2311yescharacteristic
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586D411yescharacteristic
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584D411yescharacteristic
241#14556583—21no—
242#14556583C2311yescharacteristic
243#14556582—21no—
244#14556582C2311yescharacteristic
245#14556581D411yescharacteristic
246#14556580C2311yescharacteristic
247#14556578—21no—
248#14556577—21no—
249#14556577—21no—
250#14556577—21no—
251#14556577—21no—
252#14556577—21no—
253#14556577—21no—
254#14556577—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577D411yescharacteristic
258#14556575—21no—
259#14556575—21no—
260#14556575—21no—
261#14556575D411yescharacteristic
262#14556574—21no—
263#14556573—21no—
264#14556573—21no—
265#14556573—21no—
266#14556573—21no—
267#14556573—21no—
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556572—21no—
272#14556572D411yescharacteristic
273#14556571—21no—
274#14556570—21no—
275#14556568—21no—
276#14556568—21no—
277#14556568—21no—
278#14556568—21no—
279#14556568D411yescharacteristic
280#14556567C2311yescharacteristic
281#14556565—21no—
282#14556565—21no—
283#14556565C2311yescharacteristic
284#14556565C2311yescharacteristic
285#14556565C2311yescharacteristic
286#14556565C2311yescharacteristic
287#14556563—21no—
288#14556563—21no—
289#14556563—21no—
290#14556563—21no—
291#14556563—21no—
292#14556563—21no—
293#14556563—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563D411yescharacteristic
299#14556562—21no—
300#14556562—21no—
301#14556562—21no—
302#14556562—21no—
303#14556562—21no—
304#14556562—21no—
305#14556562C2311yescharacteristic
306#14556562C2311yescharacteristic
307#14556562C2311yescharacteristic
308#14556560—21no—
309#14556559—21no—
310#14556559—21no—
311Q8×Dic73C2311yescharacteristic
312Q8×Dic73C2311yescharacteristic
313Q8×Dic73C2311yescharacteristic
314Q8×Dic73C2311yescharacteristic
315Q8×Dic73C2311yescharacteristic
316C4×Dic146—21no—
317C4×Dic146C2311yescharacteristic
318#14556556—21no—
319C4×D292—21no—
320C4×D292C2311yescharacteristic
321C4×D292C2311yescharacteristic
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73—21no—
325D4×Dic73—21no—
326D4×Dic73—21no—
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73C2311yescharacteristic
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
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#14556551—21no—
353#14556550—21no—
354#14556550—21no—
355#14556550—21no—
356#14556550C2311yescharacteristic
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556550C2311yescharacteristic
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548C2311yescharacteristic
364#14556547—21no—
365C2×C4⋊Dic73—21no—
366C2×C4⋊Dic73C2311yescharacteristic
367C4⋊C4×D73—21no—
368C4⋊C4×D73C2311yescharacteristic
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×#11924005—21no—
372C2×#11924005—21no—
373C22⋊C4×D73—21no—
374C2×C4×Dic73—21no—
375C2×C4×Dic73—21no—
376C2×C4×Dic73C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392C4⋊#10596831C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556515C2311yescharacteristic
398#14556515C2311yescharacteristic
399#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556513C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556512C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556501C2311yescharacteristic
428#14556501C2311yescharacteristic
429#14556501C2311yescharacteristic
430C4×#10596831C2311yescharacteristic
431C8×Dic73C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C2×#41×C73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440AGL(1,ℤ/8)×C73—24no—
441#135×C73—24no—
442C2×Q16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×M16×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453#127×C73—21no—
454#127×C73C2311yescharacteristic
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460#121×C73—21no—
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#120×C73—21no—
465C4×Q8×C73C2311yescharacteristic
466C4×D4×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic
471C4⋊C8×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
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—22no—
483#11924029—41no—
484#11924027—82no—
485#11924027—82no—
486#11924027—82no—
487#11924027—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—82no—
493C2×Dic146C2×D411yescharacteristic
494C2×D292—21no—
495C2×D292C2411yescharacteristic
496C2×D292C2411yescharacteristic
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—82no—
512C2×C22⋊D73C2×D411yescharacteristic
513C2×C22⋊D73C2×D411yescharacteristic
514D4×D73—22no—
515D4×D73—41no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73C2×D411yescharacteristic
527C22×Dic73C2×D411yescharacteristic
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73C2411yescharacteristic
535#11924015—22no—
536#11924015—41no—
537D584—22no—
538#11924013—22no—
539#11924013—41no—
540#11924013—41no—
541#11924013—41no—
542#11924011—22no—
543C2×#10596831—41no—
544C2×#10596831—41no—
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C8×D73—41no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73C2×D411yescharacteristic
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73C2×D411yescharacteristic
597C22⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2×D411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C4×Dic73C2411yescharacteristic
630C24×C73—21no—
631#41×C73—22no—
632#41×C73—22no—
633#41×C73—22no—
634#41×C73—41no—
635#41×C73—41no—
636#41×C73—41no—
637C2×Q8×C73C2411yescharacteristic
638C2×Q8×C73C2411yescharacteristic
639C2×D4×C73—22no—
640C2×D4×C73—21no—
641C2×D4×C73—21no—
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—41no—
650C2×D4×C73C2×D411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73C2411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661Q16×C73—22no—
662SD16×C73—22no—
663SD16×C73—22no—
664SD16×C73—41no—
665SD16×C73#4114yescomplemented
666D8×C73—22no—
667D8×C73—22no—
668D8×C73—22no—
669D8×C73—41no—
670M16×C73—22no—
671C2×C8×C73—22no—
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73C2×D411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73—81no—
699C23×C73C22×D411yescharacteristic
700C23×C73C22×D411yescharacteristic
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73C22×D411yescharacteristic
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—21no—
710Q8×C73C2×#4112yes—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—41no—
719D4×C73—42no—
720D4×C73—42no—
721D4×C73—42no—
722D4×C73—42no—
723D4×C73—81no—
724D4×C73—81no—
725D4×C73—81no—
726D4×C73—81no—
727D4×C73—81no—
728D4×C73C2×#4112yes—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—42no—
738C2×C4×C73—42no—
739C2×C4×C73—42no—
740C2×C4×C73—81no—
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C2511yescharacteristic
746C22⋊D73—22no—
747C22⋊D73—41no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C2×Dic73—22no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—41no—
770C2×Dic73—42no—
771C2×Dic73—42no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73—81no—
779C2×Dic73—81no—
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—42no—
792C4×D73—21no—
793C4×D73—21no—
794C4×D73—42no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800Dic146—22no—
801Dic146—42no—
802Dic146—42no—
803Dic146—81no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—22no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—162no—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—162no—
843C4×C73—21no—
844C4×C73—22no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73C22×#4111yescharacteristic
852C4×C73#58511yescharacteristic
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73#57612yes—
866#61494—731nomaximal, Sylow
867C2×C73—42no—
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73D4×#4111yescharacteristic
874C2×C73C2×#57611yescharacteristic
875C2×C73#358411yescharacteristic
876D73—41no—
877D73—81no—
878D73—81no—
879#3517—731no—
880#3514—731no—
881#3399—731no—
882#3386—731no—
883#3365—731no—
884#3358—731no—
885#3353—731no—
886#3347—731no—
887#3347—731no—
888#3305—731no—
889#3305—731no—
890#3304—731no—
891#3297—731no—
892#3297—731no—
893#3294—731no—
894#3274—731no—
895#3268—731no—
896#3268D7311yescharacteristic, complemented
897#3179—731no—
898#3179—731no—
899#3169—731no—
900#3124—731no—
901#3124—731no—
902#3122—731no—
903#3122—731no—
904#3115—731no—
905#3115—731no—
906#2966—731no—
907#2946—731no—
908#2946—731no—
909C4×#135—731no—
910C73#6149411yescharacteristic, complemented, Sylow
911C2×AGL(1,ℤ/8)—731no—
912C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
913C2×#135C2×D7311yescharacteristic
914#559—731no—
915#557—731no—
916#556—731no—
917#555—731no—
918#555—731no—
919#553—731no—
920#553—731no—
921#553—1461no—
922#553—1461no—
923#551—1461no—
924#551—1461no—
925#550—731no—
926#550—731no—
927#550—731no—
928#550—1461no—
929#550C2×D7311yescharacteristic, complemented
930D4×Q8—731no—
931#548—1461no—
932#547—731no—
933#547—1461no—
934#546—731no—
935#546—1461no—
936#546C2×D7311yescharacteristic
937D42—731no—
938#542—731no—
939#542—731no—
940#540—731no—
941#540—731no—
942#540—1461no—
943#540—1461no—
944#538—1461no—
945#538—1461no—
946#532—731no—
947#532—731no—
948#532—1461no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952C2×#124—1461no—
953#520—731no—
954#520—731no—
955#518—731no—
956#518—731no—
957C4×#41—731no—
958C4×#41—731no—
959#501—731no—
960#501—731no—
961#500—731no—
962#496—731no—
963#496C2×D7311yescharacteristic, complemented
964#493—731no—
965#488—731no—
966#488—731no—
967#486—731no—
968#486—731no—
969#486—731no—
970#486—731no—
971#484—731no—
972#484—731no—
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#480—731no—
982#480—731no—
983#478—731no—
984#478—731no—
985#478—731no—
986#478—731no—
987#477—731no—
988#477—731no—
989#475—731no—
990#475—731no—
991#474—731no—
992#474—731no—
993#474—731no—
994#474—731no—
995#469—731no—
996#469—731no—
997#468—731no—
998#468C2×D7311yescharacteristic, complemented
999#466—731no—
1000#466—731no—
1001#466—731no—
1002#466—731no—
1003#466—731no—
1004#466C2×D7311yescharacteristic, complemented
1005#465—731no—
1006#465—731no—
1007#464—731no—
1008#464C2×D7311yescharacteristic, complemented
1009#463—731no—
1010#463—731no—
1011#460—731no—
1012#460—731no—
1013#459—731no—
1014#459—731no—
1015#459—731no—
1016#459—731no—
1017#459—731no—
1018#459C2×D7311yescharacteristic
1019#452—731no—
1020#452C2×D7311yescharacteristic, complemented
1021#449—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449C2×D7311yescharacteristic
1026#449C2×D7311yescharacteristic, complemented
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447C2×D7311yescharacteristic
1031#446—731no—
1032C8×Q8—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440C2×D7311yescharacteristic
1045C4×Q16—731no—
1046C4×Q16—731no—
1047C4×SD16—731no—
1048C4×SD16—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×D8—731no—
1054C4×D8—731no—
1055C4×D8—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061#436—731no—
1062#435—731no—
1063#435C2×D7311yescharacteristic, complemented
1064C8×D4—731no—
1065C8×D4—731no—
1066C8×D4—731no—
1067#433—731no—
1068#433—731no—
1069#432—731no—
1070#428—731no—
1071#428—731no—
1072#427—731no—
1073#416—731no—
1074#416—731no—
1075#416—731no—
1076#416—731no—
1077C2×#102—731no—
1078C2×#102—731no—
1079#405—731no—
1080#405—731no—
1081C2×C4×C8—731no—
1082C2×#41—731no—
1083C2×#41—1461no—
1084C2×#41—1461no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C2×#41C22×D7311yescharacteristic
1088C2×#41C22×D7311yescharacteristic
1089C2×#41C22×D7311yescharacteristic
1090C22×Q8—1461no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094AGL(1,ℤ/8)—24no—
1095AGL(1,ℤ/8)—1464no—
1096#135—24no—
1097C2×Q16C22×D7311yescharacteristic
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16C22×D7311yescharacteristic
1101C2×SD16C22×D7311yescharacteristic
1102C2×SD16C22×D7311yescharacteristic
1103C2×SD16C22×D7311yescharacteristic
1104C2×D8—731no—
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8C22×D7311yescharacteristic
1110C2×D8C22×D7311yescharacteristic
1111C2×D8C22×D7311yescharacteristic
1112C2×D8C22×D7311yescharacteristic
1113C2×M16—731no—
1114C2×M16C22×D7311yescharacteristic
1115C22×C8—731no—
1116C22×C8—731no—
1117C22×C8—731no—
1118C22×C8C22×D7311yescharacteristic
1119C4⋊Q8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—1461no—
1124#127—21no—
1125#127—731no—
1126#127—731no—
1127#127—731no—
1128#127—1461no—
1129#127—1461no—
1130#127C22×D7311yescharacteristic
1131#126—731no—
1132#126—731no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#126—1461no—
1138#126—1461no—
1139#125—731no—
1140#125—731no—
1141#125—731no—
1142#125—1461no—
1143#125—1461no—
1144#124—731no—
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124C22×D7311yescharacteristic
1157#123—21no—
1158#123—731no—
1159#123—731no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8C22×D7311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—731no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#121C22×D7311yescharacteristic
1215#120—21no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—1461no—
1226C4×Q8—1461no—
1227C4×Q8C22×D7311yescharacteristic
1228C4×D4—21no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265#117—731no—
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—1461no—
1280C2×C4⋊C4—1461no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C42—731no—
1288C2×C42—1461no—
1289C2×C42—1461no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—731no—
1299#107C22×D7311yescharacteristic
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8C22×D7311yescharacteristic
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344C22⋊C8—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8C22×D7311yescharacteristic
1349C22⋊C8C22×D7311yescharacteristic
1350#97—731no—
1351#97—731no—
1352#97—731no—
1353#97C22×D7311yescharacteristic
1354C4×C8—731no—
1355C4×C8—731no—
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C24—21no—
1361C24—1461no—
1362#41—22no—
1363#41—22no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—2921no—
1369#41—5842no—
1370#41—5842no—
1371#41—5842no—
1372#41—5842no—
1373#41—1462no—
1374C2×Q8—5842no—
1375C2×Q8—731no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8C23×D7311yescharacteristic
1381C2×Q8C23×D7311yescharacteristic
1382C2×D4—22no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—41no—
1393C2×D4—2921no—
1394C2×D4—5842no—
1395C2×D4—731no—
1396C2×D4—731no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1462no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4D4×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C2×D4C23×D7311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C23×D7311yescharacteristic
1444C22×C4C23×D7311yescharacteristic
1445Q16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—41no—
1449SD16—2921no—
1450SD16—1462no—
1451SD16#1192402714yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—41no—
1456D8—2921no—
1457D8—2921no—
1458D8—2921no—
1459D8—1462no—
1460D8—1462no—
1461M16—22no—
1462M16—1462no—
1463C2×C8—22no—
1464C2×C8—2921no—
1465C2×C8—2921no—
1466C2×C8—2921no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4D4×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4D4×D7311yescharacteristic
1554C22⋊C4D4×D7311yescharacteristic
1555C42—21no—
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42C23×D7311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—2922no—
1579C23—5841no—
1580C23—5841no—
1581C23—731no—
1582C23—1461no—
1583C23—1461no—
1584C23C2×D4×D7311yescharacteristic
1585C23C2×D4×D7311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—2922no—
1590Q8—2922no—
1591Q8—5841no—
1592Q8—5841no—
1593Q8—1462no—
1594Q8C2×#1192402712yes—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—2922no—
1613D4—2922no—
1614D4—2922no—
1615D4—2922no—
1616D4—2921no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—1462no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4C2×#1192402712yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2921no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1462no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C24×D7311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8C2×#1192402712yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—162no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—11682no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22C22×D4×D7311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—2921no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—732no—
1737C4—1461no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C22×#1192402711yescharacteristic
1744C4#1798942211yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—2921no—
1752C2—5841no—
1753C2—5841no—
1754C2D4×#1192402711yescharacteristic
1755C2#576×D7311yescharacteristic
1756C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3268C2
socleC22×C73C23×D4
hypercenter#3268D73
hypocenterC73#61494
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #22623928C2semidirect
2. #22623879C2semidirect
3. #22622970C2semidirect
4. #22622853C2semidirect
5. #22622622C2semidirect
6. #22622561C2semidirect
7. #22622510C2semidirect
8. #22622437C2semidirect
9. #22622433C2semidirect
10. #22621881C2semidirect
11. #22621874C2semidirect
12. #22621863C2semidirect
13. #22621781C2semidirect
14. #22621774C2semidirect
15. #22621737C2semidirect
16. #22621545C2semidirect
17. #22621471C2semidirect
18. #22620611C2semidirect
19. #22620607C2semidirect
20. #22620505C2semidirect
21. #22620194C2semidirect
22. #22620192C2semidirect
23. #22620172C2semidirect
24. #22620168C2semidirect
25. #22620075C2semidirect
26. #22620075C2semidirect
27. #22618901C2semidirect
28. #22618764C2semidirect
29. #22618762C2semidirect
30. #135×Dic73C2semidirect
31. C73×#3268C2semidirect
34. #17989313C22semidirect
39. #17989284C22semidirect
41. #17989283C22semidirect
45. #17989257C22semidirect
47. #17989256C22semidirect
58. #17989191C22semidirect
60. #17989190C22semidirect
65. #17989132C22semidirect
70. #17989070C22semidirect
71. #17989069C22semidirect
75. #41×Dic73C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988991C22semidirect
79. #17988973C22semidirect
81. #17988943C22semidirect
82. #17988941C22semidirect
83. #17988933C22semidirect
85. #17988932C22semidirect
86. #17988932C22semidirect
87. #17988921C22semidirect
88. #17988920C22semidirect
89. #17988912C22semidirect
90. #17988912C22semidirect
91. #17988912C22semidirect
92. #17988910C22semidirect
93. #17988909C22semidirect
94. #17988908C22semidirect
95. #17988908C22semidirect
96. #17988908C22semidirect
100. #17988888C22semidirect
102. #17988885C22semidirect
103. #17988882C22semidirect
104. #17988880C22semidirect
105. #17988870C22semidirect
106. #17988870C22semidirect
107. #17988868C22semidirect
109. #17988865C22semidirect
110. #17988865C22semidirect
113. #17988830C22semidirect
114. #17988823C22semidirect
116. #17988821C22semidirect
117. #17988821C22semidirect
119. #17988818C22semidirect
120. #17988813C22semidirect
121. #17988811C22semidirect
122. #17988804C22semidirect
123. #17988799C22semidirect
125. #17988785C22semidirect
129. #17988780C22semidirect
130. #17988779C22semidirect
131. #17988748C22semidirect
134. #17988732C22semidirect
139. #17988715C22semidirect
140. #17988711C22semidirect
141. #17988700C22semidirect
143. #17988699C22semidirect
144. #17988699C22semidirect
146. #17988696C22semidirect
147. #17988690C22semidirect
148. #17988690C22semidirect
150. #17988688C22semidirect
151. #17988688C22semidirect
152. Q16×Dic73C22semidirect
153. Q16×Dic73C22semidirect
156. SD16×Dic73C22semidirect
157. SD16×Dic73C22semidirect
158. SD16×Dic73C22semidirect
159. C4×#11924015C22semidirect
163. D8×Dic73C22semidirect
164. #17988669C22semidirect
166. #17988667C22semidirect
167. #17988667C22semidirect
169. #17988658C22semidirect
170. D4×#10596831C22semidirect
172. #17988650C22semidirect
173. #17988647C22semidirect
174. #17988645C22semidirect
175. #17988641C22semidirect
176. #17988629C22semidirect
177. #17988628C22semidirect
178. #17988625C22semidirect
180. #17988583C22semidirect
181. #17988583C22semidirect
182. #17988582C22semidirect
185. #17988545C22semidirect
186. #17988544C22semidirect
187. C2×C8×Dic73C22semidirect
190. #550×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
195. #464×C73C22semidirect
197. #452×C73C22semidirect
199. #449×C73C22semidirect
202. #435×C73C22semidirect
665. SD16×C73#41semidirect
896. #3268D73semidirect
910. C73#61494semidirect
929. #550C2×D73semidirect
963. #496C2×D73semidirect
998. #468C2×D73semidirect
1004. #466C2×D73semidirect
1008. #464C2×D73semidirect
1020. #452C2×D73semidirect
1026. #449C2×D73semidirect
1063. #435C2×D73semidirect
1451. SD16#11924027semidirect

Maximal subgroups

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

subgroupindex
#226239282
#226238792
#226229702
#226228532
#226226222
#226225612
#226225102
#226224372
#226224332
#226218812
#226218742
#226218632
#226217812
#226217742
#226217372
#226215452
#226214712
#226206112
#226206072
#226205052
#226201942
#226201922
#226201722
#226201682
#226200752
#226189012
#226187642
#226187622
#135×Dic732
C73×#32682
#6149473