Finite Group Databasebeta

← #33978945

Subgroups — #33978945

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623885C211yesmaximal, characteristic, complemented
2#22623482C211yesmaximal, characteristic, complemented
3#22623010C211yesmaximal, characteristic, complemented
4#22623003C211yesmaximal, characteristic, complemented
5#22622754C211yesmaximal, characteristic, complemented
6#22622688C211yesmaximal, characteristic, complemented
7#22622123C211yesmaximal, characteristic, complemented
8#22622091C211yesmaximal, characteristic, complemented
9#22621986C211yesmaximal, characteristic, complemented
10#22621958C211yesmaximal, characteristic, complemented
11#22621818C211yesmaximal, characteristic, complemented
12#22621768C211yesmaximal, characteristic, complemented
13#22621612C211yesmaximal, characteristic, complemented
14#22621490C211yesmaximal, characteristic, complemented
15#22621456C211yesmaximal, characteristic, complemented
16#22621441C211yesmaximal, characteristic, complemented
17#22621404C211yesmaximal, characteristic, complemented
18#22621330C211yesmaximal, characteristic, complemented
19#22621279C211yesmaximal, characteristic, complemented
20#22621261C211yesmaximal, characteristic, complemented
21#22620966C211yesmaximal, characteristic, complemented
22#22620933C211yesmaximal, characteristic, complemented
23#22620891C211yesmaximal, characteristic, complemented
24#22620064C211yesmaximal, characteristic, complemented
25#22620041C211yesmaximal, characteristic, complemented
26#22619953C211yesmaximal, characteristic, complemented
27#22619420C211yesmaximal, characteristic, complemented
28#22619382C211yesmaximal, characteristic, complemented
29C2×#17988804C211yesmaximal, characteristic, complemented
30#22619054C211yesmaximal, characteristic, complemented
31C73×#3282C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic
34C2×#14556611C2211yescharacteristic, complemented
35C22×#11924013C2211yescharacteristic
36#17989319C2211yescharacteristic, complemented
37#17989309C2211yescharacteristic, complemented
38#17989306C2211yescharacteristic, complemented
39#17989301C2211yescharacteristic, complemented
40#17989299—21no—
41#17989296C2211yescharacteristic, complemented
42#17989280—21no—
43#17989279C2211yescharacteristic
44#17989277C2211yescharacteristic, complemented
45#17989274—21no—
46#17989268—21no—
47#17989266—21no—
48#17989264—21no—
49#17989263—21no—
50Q8×C22⋊D73C2211yescharacteristic
51#17989247C2211yescharacteristic, complemented
52#17989236C2211yescharacteristic, complemented
53#17989233C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989226—21no—
56#17989225C2211yescharacteristic, complemented
57#17989221C2211yescharacteristic
58#17989207—21no—
59#17989174—21no—
60#17989171—21no—
61#17989139C2211yescharacteristic, complemented
62#17989133C2211yescharacteristic, complemented
63#17989124C2211yescharacteristic, complemented
64#17989123C2211yescharacteristic, complemented
65#17989118—21no—
66#17989118C2211yescharacteristic
67#17989118C2211yescharacteristic, complemented
68#17989116C2211yescharacteristic, complemented
69#17989114—21no—
70C2×#14556580C2211yescharacteristic
71#124×D73C2211yescharacteristic, complemented
72#17989093—21no—
73#17989059—21no—
74#41×Dic73C2211yescharacteristic, complemented
75C4×#11924027C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C2×D4×Dic73C2211yescharacteristic, complemented
78C2×#14556547—21no—
79#17988980C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988969C2211yescharacteristic
84#17988954C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988942C2211yescharacteristic, complemented
89#17988941C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988898C2211yescharacteristic
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988894C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988889C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988871C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988842C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic
108#17988836C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988828C2211yescharacteristic, complemented
111#17988826C2211yescharacteristic, complemented
112#17988826C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic
114#17988816C2211yescharacteristic, complemented
115#17988814C2211yescharacteristic
116#17988812C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988806C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic
127#17988804C2211yescharacteristic
128#17988804C2211yescharacteristic
129#17988804C2211yescharacteristic, complemented
130#17988804C2211yescharacteristic, complemented
131#17988804C2211yescharacteristic, complemented
132#17988804C2211yescharacteristic, complemented
133#17988802C2211yescharacteristic
134#17988801C2211yescharacteristic
135#17988800C2211yescharacteristic, complemented
136#17988800C2211yescharacteristic, complemented
137#17988799C2211yescharacteristic, complemented
138#17988796C2211yescharacteristic, complemented
139#17988795C2211yescharacteristic, complemented
140#17988790C2211yescharacteristic, complemented
141#17988790C2211yescharacteristic, complemented
142#17988785C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic, complemented
147#17988743C2211yescharacteristic, complemented
148#17988741C2211yescharacteristic, complemented
149#17988740C2211yescharacteristic
150#17988738C2211yescharacteristic, complemented
151#17988737C2211yescharacteristic
152#17988736C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic
154#17988732C2211yescharacteristic
155#17988730C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic
158#17988717C2211yescharacteristic, complemented
159#17988714C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic
163#17988694C2211yescharacteristic, complemented
164#17988690C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988684C2211yescharacteristic, complemented
168C4×#11924018C2211yescharacteristic, complemented
169C4×#11924017C2211yescharacteristic, complemented
170C4×#11924013C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic
172#17988658C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic
174#17988655C2211yescharacteristic, complemented
175D4×#10596831C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186C2×#14556515C2211yescharacteristic, complemented
187C2×#14556513C2211yescharacteristic
188C2×#135×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#465×C73C2211yescharacteristic
194#465×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201C4×SD16×C73C2211yescharacteristic, complemented
202C8×D4×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C23×Dic73—21no—
211#14556620—42no—
212#14556615—42no—
213#14556611—42no—
214C2×Dic292C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924013—42no—
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589—21no—
236#14556589C2311yescharacteristic
237#14556589C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556583C2311yescharacteristic
251#14556582—21no—
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556580—21no—
257#14556580—21no—
258#14556580C2311yescharacteristic
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556580C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556578—21no—
264#14556578C2311yescharacteristic
265#14556578C2311yescharacteristic
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556576—21no—
272#14556576—21no—
273#14556575—21no—
274#14556575—21no—
275#14556575—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556570—21no—
286#14556570—21no—
287#14556570C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556562C2311yescharacteristic
311#14556561—21no—
312#14556560—21no—
313#14556559—21no—
314#14556559—21no—
315#14556559—21no—
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321#14556556—21no—
322#14556556D411yescharacteristic
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325C4×D292—21no—
326C4×D292C2311yescharacteristic
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73D411yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551D411yescharacteristic
353#14556551D411yescharacteristic
354#14556550—21no—
355#14556550C2311yescharacteristic
356#14556549—21no—
357#14556549D411yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547D411yescharacteristic
371#14556547D411yescharacteristic
372C2×C4⋊Dic73C2311yescharacteristic
373C2×#11924007—21no—
374C2×#11924007—21no—
375C2×C22⋊Dic73—21no—
376C2×C22⋊Dic73—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
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#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#135×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×SD16×C73—42no—
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C22×C8×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#11924028—41no—
487#11924028—41no—
488#11924027—22no—
489#11924027—41no—
490#11924027—42no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496Q8×D73—41no—
497Q8×D73—41no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—41no—
501C2×D292—41no—
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⋊D73C2×D411yescharacteristic
512C2×C22⋊D73C2×D411yescharacteristic
513D4×D73—41no—
514D4×D73—41no—
515D4×D73—44no—
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—44no—
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536Dic292—41no—
537#11924018—41no—
538#11924018—41no—
539#11924018—41no—
540#11924017—41no—
541#11924017—41no—
542#11924016—22no—
543#11924016—41no—
544#11924016—41no—
545#11924015—41no—
546#11924015—41no—
547#11924013—22no—
548#11924013—22no—
549#11924013—41no—
550#11924013—41no—
551#11924011—41no—
552#11924011—41no—
553C2×#10596831—41no—
554C2×#10596831—41no—
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
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—
681C2×C8×C73—41no—
682C2×C8×C73—41no—
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×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—42no—
711C23×C73—81no—
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—81no—
730D4×C73—22no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—42no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73H(5,𝔽2)12yes—
742C2×C4×C73—21no—
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—42no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C2511yescharacteristic
760C22⋊D73—22no—
761C22⋊D73—41no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C2×Dic73—22no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—41no—
777C2×Dic73—41no—
778C2×Dic73—41no—
779C2×Dic73—42no—
780C2×Dic73—42no—
781C2×Dic73—42no—
782C2×Dic73—42no—
783C2×Dic73—42no—
784C2×Dic73—42no—
785C2×Dic73—81no—
786C2×Dic73—81no—
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794D292—21no—
795D292—21no—
796D292—21no—
797D292—21no—
798D292—42no—
799D292—81no—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—41no—
803C4×D73—41no—
804C4×D73—42no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—21no—
812Dic146—41no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—22no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—84no—
838C22×C73#57512yes—
839C22×C73C23×D411yescharacteristic
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—162no—
850C2×D73—162no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73C2×H(5,𝔽2)11yescharacteristic
861C4×C73#58511yescharacteristic
862Dic73—21no—
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—41no—
878C2×C73—42no—
879C2×C73—81no—
880C2×C73—81no—
881C2×C73#348811yescharacteristic
882C2×C73C2×#57511yescharacteristic
883C2×C73#358411yescharacteristic
884D73—41no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282D7311yescharacteristic, complemented
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135C2×D7311yescharacteristic, complemented
923C22×SD16C2×D7311yescharacteristic, complemented
924C22×D8—731no—
925#559—731no—
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—731no—
934#552—1461no—
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548C2×D7311yescharacteristic
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—1461no—
947#546C2×D7311yescharacteristic, complemented
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124—731no—
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—731no—
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495C2×D7311yescharacteristic, complemented
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478—731no—
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465C2×D7311yescharacteristic
1009#465C2×D7311yescharacteristic, complemented
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452C2×D7311yescharacteristic, complemented
1044#451—731no—
1045#451—731no—
1046#451C2×D7311yescharacteristic, complemented
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450—731no—
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449C2×D7311yescharacteristic, complemented
1055#448—731no—
1056#447—731no—
1057#447C2×D7311yescharacteristic
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16C2×D7311yescharacteristic, complemented
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4C2×D7311yescharacteristic, complemented
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41C22×D7311yescharacteristic
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8—731no—
1096C22×Q8C22×D7311yescharacteristic
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—1461no—
1100C22×D4C22×D7311yescharacteristic
1101C23×C4—1461no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—42no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16C22×D7311yescharacteristic
1111C2×Q16C22×D7311yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16C22×D7311yescharacteristic
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8C22×D7311yescharacteristic
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8C22×D7311yescharacteristic
1137C22×C8C22×D7311yescharacteristic
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—1461no—
1142#127—731no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—731no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125—1461no—
1160#124—21no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124C22×D7311yescharacteristic
1177#124C22×D7311yescharacteristic
1178#123—21no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—21no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8C22×D7311yescharacteristic
1209C22⋊Q8C22×D7311yescharacteristic
1210#121—21no—
1211#121—21no—
1212#121—731no—
1213#121—731no—
1214#121—731no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121C22×D7311yescharacteristic
1225#121C22×D7311yescharacteristic
1226#120—21no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—731no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—1461no—
1308C2×C42—1461no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106C22×D7311yescharacteristic
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8C22×D7311yescharacteristic
1364C22⋊C8C22×D7311yescharacteristic
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369C4×C8—731no—
1370C4×C8C22×D7311yescharacteristic
1371C24—21no—
1372C24—1461no—
1373C24—1461no—
1374#41—22no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—2921no—
1379#41—2921no—
1380#41—2921no—
1381#41—2922no—
1382#41—1462no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8C23×D7311yescharacteristic
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—22no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—2924no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4D4×D7311yescharacteristic
1422C2×D4C23×D7311yescharacteristic
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—2924no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4C23×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—2921no—
1468SD16—1462no—
1469D8—22no—
1470D8—41no—
1471D8—2921no—
1472D8—2921no—
1473D8—1462no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477C2×C8—41no—
1478C2×C8—41no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4D4×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
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⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4D4×D7311yescharacteristic
1573C22⋊C4D4×D7311yescharacteristic
1574C42—21no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42—1461no—
1591C42—1461no—
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—42no—
1598C23—81no—
1599C23—2922no—
1600C23—2922no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—5841no—
1605C23—731no—
1606C23—1461no—
1607C23—1461no—
1608C23C2×D4×D7311yescharacteristic
1609C23C2×D4×D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—81no—
1617Q8—2921no—
1618Q8—5841no—
1619Q8—5841no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—81no—
1634D4—81no—
1635D4—2922no—
1636D4—2922no—
1637D4—2921no—
1638D4—2922no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—1462no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4#1455663612yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—42no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—2921no—
1665C2×C4—2921no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2922no—
1673C2×C4—2921no—
1674C2×C4—2921no—
1675C2×C4—2921no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—731no—
1687C2×C4—731no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1462no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—84no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—11682no—
1732C22—11682no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22#1798938412yes—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4C2×#1455663611yescharacteristic
1761C4#1798942211yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—2921no—
1768C2—5841no—
1769C2—5841no—
1770C2#2262359111yescharacteristic
1771C2C2×#1798938411yescharacteristic
1772C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3282C2
socleC22×C73C23×D4
hypercenter#3282D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #22623885C2semidirect
2. #22623482C2semidirect
3. #22623010C2semidirect
4. #22623003C2semidirect
5. #22622754C2semidirect
6. #22622688C2semidirect
7. #22622123C2semidirect
8. #22622091C2semidirect
9. #22621986C2semidirect
10. #22621958C2semidirect
11. #22621818C2semidirect
12. #22621768C2semidirect
13. #22621612C2semidirect
14. #22621490C2semidirect
15. #22621456C2semidirect
16. #22621441C2semidirect
17. #22621404C2semidirect
18. #22621330C2semidirect
19. #22621279C2semidirect
20. #22621261C2semidirect
21. #22620966C2semidirect
22. #22620933C2semidirect
23. #22620891C2semidirect
24. #22620064C2semidirect
25. #22620041C2semidirect
26. #22619953C2semidirect
27. #22619420C2semidirect
28. #22619382C2semidirect
29. C2×#17988804C2semidirect
30. #22619054C2semidirect
31. C73×#3282C2semidirect
32. C2×#14556620C22semidirect
34. C2×#14556611C22semidirect
36. #17989319C22semidirect
37. #17989309C22semidirect
38. #17989306C22semidirect
39. #17989301C22semidirect
41. #17989296C22semidirect
44. #17989277C22semidirect
51. #17989247C22semidirect
52. #17989236C22semidirect
56. #17989225C22semidirect
61. #17989139C22semidirect
62. #17989133C22semidirect
63. #17989124C22semidirect
64. #17989123C22semidirect
67. #17989118C22semidirect
68. #17989116C22semidirect
71. #124×D73C22semidirect
74. #41×Dic73C22semidirect
76. C4×#11924027C22semidirect
77. C2×D4×Dic73C22semidirect
79. #17988980C22semidirect
80. #17988980C22semidirect
81. #17988978C22semidirect
84. #17988954C22semidirect
85. #17988950C22semidirect
86. #17988948C22semidirect
87. #17988948C22semidirect
88. #17988942C22semidirect
89. #17988941C22semidirect
90. #17988926C22semidirect
91. #17988925C22semidirect
92. #17988918C22semidirect
93. #17988913C22semidirect
94. #17988912C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988894C22semidirect
99. #17988892C22semidirect
100. #17988889C22semidirect
101. #17988889C22semidirect
102. #17988888C22semidirect
103. #17988886C22semidirect
104. #17988871C22semidirect
105. #17988865C22semidirect
106. #17988842C22semidirect
108. #17988836C22semidirect
109. #17988830C22semidirect
110. #17988828C22semidirect
111. #17988826C22semidirect
112. #17988826C22semidirect
114. #17988816C22semidirect
116. #17988812C22semidirect
117. #17988812C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
120. #17988810C22semidirect
121. #17988808C22semidirect
122. #17988807C22semidirect
123. #17988807C22semidirect
124. #17988806C22semidirect
129. #17988804C22semidirect
130. #17988804C22semidirect
131. #17988804C22semidirect
132. #17988804C22semidirect
135. #17988800C22semidirect
136. #17988800C22semidirect
137. #17988799C22semidirect
138. #17988796C22semidirect
139. #17988795C22semidirect
140. #17988790C22semidirect
141. #17988790C22semidirect
142. #17988785C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988746C22semidirect
147. #17988743C22semidirect
148. #17988741C22semidirect
150. #17988738C22semidirect
152. #17988736C22semidirect
155. #17988730C22semidirect
156. #17988724C22semidirect
158. #17988717C22semidirect
159. #17988714C22semidirect
160. #17988699C22semidirect
161. #17988699C22semidirect
163. #17988694C22semidirect
164. #17988690C22semidirect
165. #17988688C22semidirect
166. #17988684C22semidirect
167. #17988684C22semidirect
168. C4×#11924018C22semidirect
169. C4×#11924017C22semidirect
170. C4×#11924013C22semidirect
172. #17988658C22semidirect
174. #17988655C22semidirect
175. D4×#10596831C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988638C22semidirect
179. #17988609C22semidirect
180. C2×#14556520C22semidirect
181. C2×#14556520C22semidirect
182. #17988594C22semidirect
183. #17988590C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
186. C2×#14556515C22semidirect
188. C2×#135×C73C22semidirect
189. C22×SD16×C73C22semidirect
191. #546×C73C22semidirect
192. #495×C73C22semidirect
194. #465×C73C22semidirect
195. #464×C73C22semidirect
196. #463×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #449×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. C8×D4×C73C22semidirect
899. #3282D73semidirect
918. C73#61990semidirect
922. C2×#135C2×D73semidirect
923. C22×SD16C2×D73semidirect
947. #546C2×D73semidirect
975. #495C2×D73semidirect
1009. #465C2×D73semidirect
1019. #464C2×D73semidirect
1033. #463C2×D73semidirect
1043. #452C2×D73semidirect
1046. #451C2×D73semidirect
1054. #449C2×D73semidirect
1070. C4×SD16C2×D73semidirect
1077. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
#226234822
#226230102
#226230032
#226227542
#226226882
#226221232
#226220912
#226219862
#226219582
#226218182
#226217682
#226216122
#226214902
#226214562
#226214412
#226214042
#226213302
#226212792
#226212612
#226209662
#226209332
#226208912
#226200642
#226200412
#226199532
#226194202
#226193822
C2×#179888042
#226190542
C73×#32822
#6199073