Finite Group Databasebeta

← #33979797

Subgroups — #33979797

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#22624522C211yesmaximal, characteristic, complemented
2#22623860C211yesmaximal, characteristic, complemented
3#22623022C211yesmaximal, characteristic, complemented
4#22622922C211yesmaximal, characteristic, complemented
5#22622754C211yesmaximal, characteristic, complemented
6#22622586C211yesmaximal, characteristic, complemented
7#22622253C211yesmaximal, characteristic, complemented
8#22622153C211yesmaximal, characteristic, complemented
9#22622134C211yesmaximal, characteristic, complemented
10#22622031C211yesmaximal, characteristic, complemented
11#22621926C211yesmaximal, characteristic, complemented
12#22621833C211yesmaximal, characteristic, complemented
13#22621612C211yesmaximal, characteristic, complemented
14#22621556C211yesmaximal, characteristic, complemented
15#22621525C211yesmaximal, characteristic, complemented
16#22621475C211yesmaximal, characteristic, complemented
17#22621415C211yesmaximal, characteristic, complemented
18#22621367C211yesmaximal, characteristic, complemented
19#22621352C211yesmaximal, characteristic, complemented
20#22621330C211yesmaximal, characteristic, complemented
21#22621031C211yesmaximal, characteristic, complemented
22#22620988C211yesmaximal, characteristic, complemented
23#22620902C211yesmaximal, characteristic, complemented
24#22620177C211yesmaximal, characteristic, complemented
25#22620123C211yesmaximal, characteristic, complemented
26#22619982C211yesmaximal, characteristic, complemented
27#22619485C211yesmaximal, characteristic, complemented
28#22619436C211yesmaximal, characteristic, complemented
29#22619393C211yesmaximal, characteristic, complemented
30#22619075C211yesmaximal, characteristic, complemented
31C73×#3275C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556615C2211yescharacteristic, complemented
34C2×#14556611C2211yescharacteristic
35C22×#11924013C2211yescharacteristic
36#17989333—21no—
37#17989325—21no—
38#17989319C2211yescharacteristic, complemented
39#17989319C2211yescharacteristic, complemented
40#17989309C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989286—21no—
43#17989283C2211yescharacteristic
44#17989280—21no—
45#17989271C2211yescharacteristic
46#17989267—21no—
47#17989263—21no—
48#17989260—21no—
49#17989255C2211yescharacteristic, complemented
50#17989248C2211yescharacteristic, complemented
51#17989237C2211yescharacteristic, complemented
52#17989236C2211yescharacteristic
53#17989233C2211yescharacteristic, complemented
54#17989228C2211yescharacteristic
55#17989225C2211yescharacteristic, complemented
56#17989224—21no—
57D4×C22⋊D73C2211yescharacteristic
58#17989210C2211yescharacteristic
59#17989197C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic, complemented
61#17989190C2211yescharacteristic, complemented
62#17989188—21no—
63#17989186—21no—
64#17989181—21no—
65#17989172—21no—
66#17989171—21no—
67#17989169—21no—
68#17989161C2211yescharacteristic, complemented
69#17989151C2211yescharacteristic, complemented
70#17989136C2211yescharacteristic, complemented
71#17989124C2211yescharacteristic, complemented
72#17989119C2211yescharacteristic
73#17989116C2211yescharacteristic, complemented
74#17989097—21no—
75C2×#14556573—21no—
76#17989070C2211yescharacteristic, complemented
77#17989062C2211yescharacteristic
78C4×D4×D73C2211yescharacteristic, complemented
79#17988973C2211yescharacteristic
80#17988973C2211yescharacteristic, complemented
81#17988972C2211yescharacteristic, complemented
82#17988969C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988942C2211yescharacteristic, complemented
88#17988941C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988903C2211yescharacteristic, complemented
95#17988901C2211yescharacteristic, complemented
96#17988896C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988871C2211yescharacteristic, complemented
106#17988842C2211yescharacteristic, complemented
107#17988840C2211yescharacteristic, complemented
108#17988839C2211yescharacteristic
109#17988836C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic
111#17988830C2211yescharacteristic, complemented
112#17988826C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic
122#17988804C2211yescharacteristic
123#17988804C2211yescharacteristic
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988803C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic
128#17988799C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988795C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988790C2211yescharacteristic, complemented
136#17988785C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic
138#17988781C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic
140#17988780C2211yescharacteristic
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988748C2211yescharacteristic, complemented
145#17988746C2211yescharacteristic, complemented
146#17988738C2211yescharacteristic
147#17988737C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988734C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic
151#17988732C2211yescharacteristic
152#17988731C2211yescharacteristic
153#17988730C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988726C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic
157#17988722C2211yescharacteristic
158#17988717C2211yescharacteristic, complemented
159#17988711C2211yescharacteristic, complemented
160#17988696C2211yescharacteristic
161#17988688C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166C4×#11924015C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168C4×D584C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic, complemented
170C4×#11924013C2211yescharacteristic
171#17988663C2211yescharacteristic
172#17988663C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic
174#17988655C2211yescharacteristic, complemented
175D4×#10596831C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988615C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic, complemented
183#17988589C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988585C2211yescharacteristic, complemented
186#17988583C2211yescharacteristic, complemented
187C2×#14556515C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
190#548×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#495×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#436×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211#14556618—42no—
212#14556615—42no—
213#14556611—42no—
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×#11924013—42no—
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556589C2311yescharacteristic
237#14556587—21no—
238#14556587C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556585—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584D411yescharacteristic
251#14556584D411yescharacteristic
252#14556583C2311yescharacteristic
253#14556582—21no—
254#14556582D411yescharacteristic
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556581—21no—
259#14556580—21no—
260#14556580C2311yescharacteristic
261#14556580C2311yescharacteristic
262#14556580C2311yescharacteristic
263#14556580C2311yescharacteristic
264#14556579C2311yescharacteristic
265#14556578D411yescharacteristic
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575—21no—
275#14556575—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573D411yescharacteristic
290#14556573D411yescharacteristic
291#14556572—21no—
292#14556572—21no—
293#14556571—21no—
294#14556571D411yescharacteristic
295#14556570—21no—
296#14556570C2311yescharacteristic
297#14556569—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556565—21no—
309#14556565—21no—
310#14556565—21no—
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562D411yescharacteristic
328#14556562C2311yescharacteristic
329#14556561—21no—
330#14556560—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335#14556559—21no—
336Q8×Dic73C2311yescharacteristic
337Q8×Dic73C2311yescharacteristic
338Q8×Dic73C2311yescharacteristic
339C4×Dic146C2311yescharacteristic
340#14556556C2311yescharacteristic
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344D4×Dic73—21no—
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73—21no—
348D4×Dic73C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556550—21no—
369#14556550C2311yescharacteristic
370#14556550C2311yescharacteristic
371#14556550C2311yescharacteristic
372#14556549—21no—
373#14556548—21no—
374#14556548—21no—
375#14556547—21no—
376C2×C4⋊Dic73—21no—
377C2×C4⋊Dic73C2311yescharacteristic
378C2×#11924007—21no—
379C2×#11924007—21no—
380C4⋊C4×D73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×C22⋊Dic73—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#137×C73—42no—
444AGL(1,ℤ/8)×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456#124×C73—21no—
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73—21no—
464#121×C73—21no—
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—41no—
489#11924028—41no—
490#11924027—41no—
491#11924027—41no—
492#11924027—82no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—41no—
500C2×D292—41no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
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—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—82no—
518C2×C22⋊D73C2×D411yescharacteristic
519C2×C22⋊D73C2×D411yescharacteristic
520D4×D73—22no—
521D4×D73—41no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—82no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541#11924018—41no—
542#11924017—41no—
543#11924016—22no—
544#11924016—41no—
545#11924015—41no—
546#11924015—41no—
547#11924015—41no—
548#11924015—41no—
549D584—41no—
550D584—41no—
551#11924013—22no—
552#11924013—22no—
553#11924013—41no—
554#11924013—41no—
555#11924013—41no—
556#11924011—41no—
557#11924011—41no—
558C2×#10596831—41no—
559C2×#10596831—41no—
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
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
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
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#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C24×C73—21no—
645#41×C73—22no—
646#41×C73—41no—
647#41×C73—41no—
648#41×C73—41no—
649C2×Q8×C73—21no—
650C2×Q8×C73—41no—
651C2×Q8×C73—41no—
652C2×Q8×C73C2411yescharacteristic
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—22no—
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×C73C2×D411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673Q16×C73—41no—
674SD16×C73—22no—
675SD16×C73—22no—
676SD16×C73—41no—
677SD16×C73—41no—
678SD16×C73—41no—
679D8×C73—22no—
680D8×C73—41no—
681M16×C73—41no—
682M16×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×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—42no—
710C23×C73—81no—
711C23×C73—81no—
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730Q8×C73—81no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—41no—
737D4×C73—42no—
738D4×C73—42no—
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—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—42no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C2511yescharacteristic
761C22⋊D73—41no—
762C22⋊D73—41no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73—81no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796D292—21no—
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—81no—
803D292—81no—
804D292—81no—
805C4×D73—21no—
806C4×D73—21no—
807C4×D73—41no—
808C4×D73—41no—
809C4×D73—42no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815C4×D73—81no—
816Dic146—21no—
817Dic146—21no—
818Dic146—41no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—22no—
833C22×C73—21no—
834C22×C73—21no—
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—41no—
849C2×D73—41no—
850C2×D73—41no—
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—41no—
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—21no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62028—731nomaximal, Sylow
883C2×C73—42no—
884C2×C73—41no—
885C2×C73—41no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3403—731no—
898#3394—731no—
899#3376—731no—
900#3361—731no—
901#3332—731no—
902#3323—731no—
903#3322—731no—
904#3315—731no—
905#3308—731no—
906#3301—731no—
907#3280—731no—
908#3275—731no—
909#3275D7311yescharacteristic, complemented
910#3272—731no—
911#3268—731no—
912#3264—731no—
913#3259—731no—
914#3258—731no—
915#3256—731no—
916#3224—731no—
917#3221—731no—
918#3212—731no—
919#3123—731no—
920#3119—731no—
921#3105—731no—
922#3046—731no—
923#3041—731no—
924#3036—731no—
925#2993—731no—
926C73#6202811yescharacteristic, complemented, Sylow
927C2×#137C2×D7311yescharacteristic, complemented
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
931C2×#135—731no—
932C22×D8—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#548C2×D7311yescharacteristic, complemented
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—1461no—
955#546C2×D7311yescharacteristic
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#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#496—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495C2×D7311yescharacteristic, complemented
983#492—731no—
984#491—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#486—731no—
990#485—731no—
991#485—731no—
992#484—731no—
993#481—731no—
994#481—731no—
995#480—731no—
996#479—731no—
997#479—731no—
998#478—731no—
999#478—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#477—731no—
1005#475—731no—
1006#470—731no—
1007#470C2×D7311yescharacteristic, complemented
1008#469—731no—
1009#469—731no—
1010#469C2×D7311yescharacteristic, complemented
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#467—731no—
1015#466—731no—
1016#466—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464C2×D7311yescharacteristic, complemented
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#463—731no—
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#459—731no—
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452C2×D7311yescharacteristic, complemented
1051#450—731no—
1052#450—731no—
1053#450—731no—
1054#450C2×D7311yescharacteristic
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449C2×D7311yescharacteristic, complemented
1062#448—731no—
1063#448C2×D7311yescharacteristic, complemented
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#440—731no—
1070#440—731no—
1071#440—731no—
1072C4×SD16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×SD16C2×D7311yescharacteristic, complemented
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436C2×D7311yescharacteristic, complemented
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#418—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#103—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41C22×D7311yescharacteristic
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8C22×D7311yescharacteristic
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—1461no—
1108C22×D4C22×D7311yescharacteristic
1109C23×C4—1461no—
1110#137—42no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16C22×D7311yescharacteristic
1117C2×Q16C22×D7311yescharacteristic
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16C22×D7311yescharacteristic
1126C2×SD16C22×D7311yescharacteristic
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×D8—2922no—
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
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—21no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124C22×D7311yescharacteristic
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—731no—
1186#123—731no—
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—21no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1224C22⋊Q8C22×D7311yescharacteristic
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—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—21no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—21no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—21no—
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#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
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#103C22×D7311yescharacteristic
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#102—731no—
1362#102—731no—
1363#102—731no—
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
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—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8C23×D7311yescharacteristic
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—5842no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1462no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4D4×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—5842no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—2921no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—1462no—
1479D8—22no—
1480D8—41no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—41no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—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—731no—
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⋊C4—1461no—
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
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—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—81no—
1606C23—81no—
1607C23—2922no—
1608C23—2922no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—81no—
1626Q8—2921no—
1627Q8—5841no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—2922no—
1642D4—2922no—
1643D4—2921no—
1644D4—2921no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—1461no—
1660D4—1461no—
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—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—2921no—
1680C2×C4—2921no—
1681C2×C4—2922no—
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—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
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—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—5844no—
1749C22—11682no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663611yescharacteristic
1776C4#1798942211yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359111yescharacteristic
1787C2#2262470411yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3275C2
socleC22×C73C23×D4
hypercenter#3275D73
hypocenterC73#62028
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #22624522C2semidirect
2. #22623860C2semidirect
3. #22623022C2semidirect
4. #22622922C2semidirect
5. #22622754C2semidirect
6. #22622586C2semidirect
7. #22622253C2semidirect
8. #22622153C2semidirect
9. #22622134C2semidirect
10. #22622031C2semidirect
11. #22621926C2semidirect
12. #22621833C2semidirect
13. #22621612C2semidirect
14. #22621556C2semidirect
15. #22621525C2semidirect
16. #22621475C2semidirect
17. #22621415C2semidirect
18. #22621367C2semidirect
19. #22621352C2semidirect
20. #22621330C2semidirect
21. #22621031C2semidirect
22. #22620988C2semidirect
23. #22620902C2semidirect
24. #22620177C2semidirect
25. #22620123C2semidirect
26. #22619982C2semidirect
27. #22619485C2semidirect
28. #22619436C2semidirect
29. #22619393C2semidirect
30. #22619075C2semidirect
31. C73×#3275C2semidirect
33. C2×#14556615C22semidirect
38. #17989319C22semidirect
39. #17989319C22semidirect
40. #17989309C22semidirect
41. #17989296C22semidirect
49. #17989255C22semidirect
50. #17989248C22semidirect
51. #17989237C22semidirect
53. #17989233C22semidirect
55. #17989225C22semidirect
59. #17989197C22semidirect
60. #17989190C22semidirect
61. #17989190C22semidirect
68. #17989161C22semidirect
69. #17989151C22semidirect
70. #17989136C22semidirect
71. #17989124C22semidirect
73. #17989116C22semidirect
76. #17989070C22semidirect
78. C4×D4×D73C22semidirect
80. #17988973C22semidirect
81. #17988972C22semidirect
82. #17988969C22semidirect
83. #17988958C22semidirect
84. #17988954C22semidirect
85. #17988948C22semidirect
86. #17988943C22semidirect
87. #17988942C22semidirect
88. #17988941C22semidirect
89. #17988932C22semidirect
90. #17988929C22semidirect
91. #17988925C22semidirect
92. #17988921C22semidirect
93. #17988907C22semidirect
94. #17988903C22semidirect
95. #17988901C22semidirect
96. #17988896C22semidirect
97. #17988894C22semidirect
98. #17988889C22semidirect
99. #17988889C22semidirect
100. #17988888C22semidirect
101. #17988886C22semidirect
102. #17988886C22semidirect
103. #17988885C22semidirect
104. #17988880C22semidirect
105. #17988871C22semidirect
106. #17988842C22semidirect
107. #17988840C22semidirect
109. #17988836C22semidirect
111. #17988830C22semidirect
112. #17988826C22semidirect
113. #17988821C22semidirect
114. #17988821C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
120. #17988805C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988803C22semidirect
128. #17988799C22semidirect
129. #17988799C22semidirect
130. #17988795C22semidirect
131. #17988795C22semidirect
132. #17988791C22semidirect
133. #17988790C22semidirect
134. #17988790C22semidirect
135. #17988790C22semidirect
136. #17988785C22semidirect
138. #17988781C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988780C22semidirect
144. #17988748C22semidirect
145. #17988746C22semidirect
147. #17988737C22semidirect
148. #17988736C22semidirect
149. #17988734C22semidirect
153. #17988730C22semidirect
154. #17988729C22semidirect
155. #17988726C22semidirect
158. #17988717C22semidirect
159. #17988711C22semidirect
161. #17988688C22semidirect
162. #17988688C22semidirect
163. #17988684C22semidirect
164. #17988678C22semidirect
165. SD16×Dic73C22semidirect
166. C4×#11924015C22semidirect
167. #17988672C22semidirect
168. C4×D584C22semidirect
169. D8×Dic73C22semidirect
172. #17988663C22semidirect
174. #17988655C22semidirect
175. D4×#10596831C22semidirect
176. #17988645C22semidirect
177. #17988645C22semidirect
178. #17988638C22semidirect
179. #17988615C22semidirect
180. #17988615C22semidirect
181. #17988609C22semidirect
182. #17988593C22semidirect
183. #17988589C22semidirect
184. #17988587C22semidirect
185. #17988585C22semidirect
186. #17988583C22semidirect
187. C2×#14556515C22semidirect
188. C2×#137×C73C22semidirect
190. #548×C73C22semidirect
192. #495×C73C22semidirect
193. #470×C73C22semidirect
194. #469×C73C22semidirect
195. #464×C73C22semidirect
196. #463×C73C22semidirect
197. #452×C73C22semidirect
199. #449×C73C22semidirect
200. #448×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #436×C73C22semidirect
909. #3275D73semidirect
926. C73#62028semidirect
927. C2×#137C2×D73semidirect
948. #548C2×D73semidirect
982. #495C2×D73semidirect
1007. #470C2×D73semidirect
1010. #469C2×D73semidirect
1022. #464C2×D73semidirect
1033. #463C2×D73semidirect
1050. #452C2×D73semidirect
1061. #449C2×D73semidirect
1063. #448C2×D73semidirect
1076. C4×SD16C2×D73semidirect
1082. #436C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245222
#226238602
#226230222
#226229222
#226227542
#226225862
#226222532
#226221532
#226221342
#226220312
#226219262
#226218332
#226216122
#226215562
#226215252
#226214752
#226214152
#226213672
#226213522
#226213302
#226210312
#226209882
#226209022
#226201772
#226201232
#226199822
#226194852
#226194362
#226193932
#226190752
C73×#32752
#6202873