Finite Group Databasebeta

← #33968016

Subgroups — #33968016

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623543C211yesmaximal, characteristic, complemented
2#22623482C211yesmaximal, characteristic, complemented
3#22623009C211yesmaximal, characteristic, complemented
4#22622869C211yesmaximal, characteristic, complemented
5#22622772C211yesmaximal, characteristic, complemented
6#22622759C211yesmaximal, characteristic, complemented
7#22622449C211yesmaximal, characteristic, complemented
8#22622365C211yesmaximal, characteristic, complemented
9#22622297C211yesmaximal, characteristic, complemented
10#22622112C211yesmaximal, characteristic, complemented
11#22622028C211yesmaximal, characteristic, complemented
12#22621984C211yesmaximal, characteristic, complemented
13#22621824C211yesmaximal, characteristic, complemented
14#22621762C211yesmaximal, characteristic, complemented
15#22621642C211yesmaximal, characteristic, complemented
16#22621484C211yesmaximal, characteristic, complemented
17#22621437C211yesmaximal, characteristic, complemented
18#22620655C211yesmaximal, characteristic, complemented
19#22620643C211yesmaximal, characteristic, complemented
20#22620633C211yesmaximal, characteristic, complemented
21#22620099C211yesmaximal, characteristic, complemented
22#22620095C211yesmaximal, characteristic, complemented
23#22620064C211yesmaximal, characteristic, complemented
24#22620058C211yesmaximal, characteristic, complemented
25#22620037C211yesmaximal, characteristic, complemented
26#22620033C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618755C211yesmaximal, characteristic, complemented
29#22618728C211yesmaximal, characteristic, complemented
30C2×#17988684C211yesmaximal, characteristic, complemented
31C73×#3306C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic
33C2×#14556610C2211yescharacteristic
34C22×#11924016C2211yescharacteristic
35#17989312C2211yescharacteristic, complemented
36#17989308—21no—
37#17989307C2211yescharacteristic, complemented
38#17989306C2211yescharacteristic
39#17989301C2211yescharacteristic
40#17989296C2211yescharacteristic
41#17989280—21no—
42#17989279C2211yescharacteristic
43#17989277C2211yescharacteristic
44#17989274—21no—
45#17989274—21no—
46#17989274—21no—
47#17989272C2211yescharacteristic
48#17989272C2211yescharacteristic, complemented
49#17989268—21no—
50#17989263—21no—
51D4×Dic146C2211yescharacteristic
52#17989243C2211yescharacteristic
53#17989243C2211yescharacteristic, complemented
54#17989236—21no—
55#17989236C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989142C2211yescharacteristic, complemented
58#17989139—21no—
59#17989139C2211yescharacteristic
60#17989118—21no—
61#17989118C2211yescharacteristic
62#17989118C2211yescharacteristic
63#17989118C2211yescharacteristic, complemented
64#17989116C2211yescharacteristic
65#17989114—21no—
66#17989114—21no—
67#17989114—21no—
68#17989093—21no—
69#41×Dic73—21no—
70#41×Dic73C2211yescharacteristic
71C4×#11924027C2211yescharacteristic
72C4×#11924027C2211yescharacteristic
73C4×#11924027C2211yescharacteristic, complemented
74C2×#14556556C2211yescharacteristic
75C2×#14556556C2211yescharacteristic, complemented
76C2×D4×Dic73C2211yescharacteristic
77C2×#14556547—21no—
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988987C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic
82#17988978C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic
84#17988956C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic
88#17988940C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic, complemented
94#17988918C2211yescharacteristic
95#17988917C2211yescharacteristic
96#17988909C2211yescharacteristic
97#17988908C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic
99#17988897C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988892C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic
104#17988889C2211yescharacteristic
105#17988887C2211yescharacteristic, complemented
106#17988885C2211yescharacteristic
107#17988879C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988871C2211yescharacteristic, complemented
110#17988845C2211yescharacteristic, complemented
111#17988831C2211yescharacteristic
112#17988831C2211yescharacteristic, complemented
113#17988828C2211yescharacteristic
114#17988827C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic
117#17988815C2211yescharacteristic
118#17988815C2211yescharacteristic
119#17988814C2211yescharacteristic
120#17988808C2211yescharacteristic
121#17988808C2211yescharacteristic
122#17988807C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic
124#17988800C2211yescharacteristic
125#17988800C2211yescharacteristic
126#17988800C2211yescharacteristic
127#17988798C2211yescharacteristic, complemented
128#17988796C2211yescharacteristic, complemented
129#17988796C2211yescharacteristic, complemented
130#17988792C2211yescharacteristic
131#17988750C2211yescharacteristic
132#17988750C2211yescharacteristic
133#17988749C2211yescharacteristic
134#17988746C2211yescharacteristic, complemented
135#17988745C2211yescharacteristic
136#17988745C2211yescharacteristic, complemented
137#17988742C2211yescharacteristic
138#17988738C2211yescharacteristic
139#17988729C2211yescharacteristic
140#17988725C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic
144#17988699C2211yescharacteristic
145#17988695C2211yescharacteristic, complemented
146#17988693C2211yescharacteristic, complemented
147#17988693C2211yescharacteristic, complemented
148#17988693C2211yescharacteristic, complemented
149#17988691C2211yescharacteristic, complemented
150#17988691C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988688C2211yescharacteristic, complemented
153#17988687C2211yescharacteristic
154#17988687C2211yescharacteristic, complemented
155#17988684C2211yescharacteristic
156#17988684C2211yescharacteristic
157#17988684C2211yescharacteristic
158#17988684C2211yescharacteristic
159#17988684C2211yescharacteristic
160#17988684C2211yescharacteristic
161#17988684C2211yescharacteristic
162#17988684C2211yescharacteristic
163#17988684C2211yescharacteristic
164#17988684C2211yescharacteristic
165#17988684C2211yescharacteristic, complemented
166#17988679C2211yescharacteristic, complemented
167#17988679C2211yescharacteristic, complemented
168#17988678C2211yescharacteristic
169#17988678C2211yescharacteristic
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174#17988650C2211yescharacteristic
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic
177#17988641C2211yescharacteristic, complemented
178#17988627C2211yescharacteristic, complemented
179#17988622C2211yescharacteristic, complemented
180C2×#14556524C2211yescharacteristic
181#17988597C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic
183#17988580C2211yescharacteristic, complemented
184C2×#14556516C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic
187#97×D73C2211yescharacteristic, complemented
188#547×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic
191#483×C73C2211yescharacteristic
192#481×C73C2211yescharacteristic
193#476×C73C2211yescharacteristic
194#469×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027D411yescharacteristic
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C23×Dic73—21no—
209#14556621—24no—
210#14556610—24no—
211C2×Dic292C2311yescharacteristic
212C2×Dic292C2311yescharacteristic
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924016—24no—
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924012C2311yescharacteristic
226C22×#10596831C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229#14556591C2311yescharacteristic
230#14556590—21no—
231#14556590C2311yescharacteristic
232#14556589—21no—
233#14556589C2311yescharacteristic
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556583C2311yescharacteristic
247#14556582—21no—
248#14556582—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556578—21no—
259#14556578C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556575—21no—
266#14556574—21no—
267#14556574—21no—
268#14556574—21no—
269#14556573—21no—
270#14556572—21no—
271#14556572—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556571C2311yescharacteristic
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570—21no—
280#14556570C2311yescharacteristic
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556570C2311yescharacteristic
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556567—21no—
293#14556567C2311yescharacteristic
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556562C2311yescharacteristic
300#14556560—21no—
301Q8×Dic73—21no—
302Q8×Dic73—21no—
303Q8×Dic73C2311yescharacteristic
304Q8×Dic73C2311yescharacteristic
305C4×Dic146C2311yescharacteristic
306C4×Dic146C2311yescharacteristic
307C4×Dic146C2311yescharacteristic
308#14556556—21no—
309#14556556—21no—
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556D411yescharacteristic
314#14556556C2311yescharacteristic
315#14556556C2311yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321#14556556C2311yescharacteristic
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73—21no—
325D4×Dic73—21no—
326D4×Dic73—21no—
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73D411yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73C2311yescharacteristic
342C4×C22⋊D73C2311yescharacteristic
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551D411yescharacteristic
347#14556551D411yescharacteristic
348#14556550—21no—
349#14556550—21no—
350#14556550—21no—
351#14556550—21no—
352#14556550C2311yescharacteristic
353#14556549—21no—
354#14556549D411yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556547—21no—
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547D411yescharacteristic
369#14556547D411yescharacteristic
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007—21no—
372C2×#11924007—21no—
373C2×#11924007—21no—
374C2×#11924007—21no—
375C2×C22⋊Dic73—21no—
376C2×C22⋊Dic73—21no—
377C2×C4×Dic73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73C2311yescharacteristic
383C2×C4×Dic73C2311yescharacteristic
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C2×#41×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#124×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450#123×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73—21no—
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457#120×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#11924027—22no—
482#11924027—22no—
483#11924027—41no—
484#11924027—41no—
485#11924027—42no—
486C2×Dic146—22no—
487C2×Dic146—22no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—41no—
492C2×Dic146—41no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73C2×D411yescharacteristic
502C2×C22⋊D73C2×D411yescharacteristic
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—44no—
515C22×Dic73C2×D411yescharacteristic
516C22×Dic73C2×D411yescharacteristic
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C2×C4×D73C2×D411yescharacteristic
520C2×C4×D73C2×D411yescharacteristic
521C2×C4×D73C2411yescharacteristic
522Dic292—22no—
523Dic292—41no—
524Dic292—41no—
525#11924018—22no—
526#11924018—22no—
527#11924018—41no—
528#11924016—22no—
529#11924016—22no—
530#11924016—22no—
531#11924016—22no—
532#11924016—22no—
533#11924016—41no—
534#11924016#4114yescomplemented
535#11924012—22no—
536C2×#10596831—22no—
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C8×D73—22no—
542C8×D73—41no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73C2×D411yescharacteristic
604C22⋊Dic73C2×D411yescharacteristic
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73C2×D411yescharacteristic
628C4×Dic73C2×D411yescharacteristic
629C4×Dic73C2×D411yescharacteristic
630C4×Dic73C2×D411yescharacteristic
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C24×C73—21no—
637#41×C73—22no—
638#41×C73—41no—
639#41×C73—44no—
640C2×Q8×C73—21no—
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—22no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—41no—
649C2×D4×C73C2×D411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73C2411yescharacteristic
659C22×C4×C73C2411yescharacteristic
660SD16×C73—41no—
661D8×C73—22no—
662D8×C73—41no—
663M16×C73—41no—
664C2×C8×C73—41no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—21no—
692C23×C73—42no—
693C23×C73—42no—
694C23×C73—81no—
695C23×C73C22×D411yescharacteristic
696C23×C73C22×D411yescharacteristic
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—42no—
701D4×C73—22no—
702D4×C73—21no—
703D4×C73—21no—
704D4×C73—21no—
705D4×C73—21no—
706D4×C73—21no—
707D4×C73—42no—
708D4×C73—42no—
709D4×C73—42no—
710D4×C73—42no—
711D4×C73—81no—
712D4×C73C2×#4112yes—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—42no—
723C2×C4×C73—42no—
724C2×C4×C73—42no—
725C2×C4×C73—42no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C2511yescharacteristic
732C22⋊D73—22no—
733C22⋊D73—41no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—81no—
737C2×Dic73—22no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—41no—
747C2×Dic73—41no—
748C2×Dic73—41no—
749C2×Dic73—42no—
750C2×Dic73—42no—
751C2×Dic73—42no—
752C2×Dic73—42no—
753C2×Dic73—42no—
754C2×Dic73—42no—
755C2×Dic73—42no—
756C2×Dic73—42no—
757C2×Dic73—42no—
758C2×Dic73—42no—
759C2×Dic73—81no—
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C4×D73—21no—
768C4×D73—21no—
769C4×D73—41no—
770C4×D73—41no—
771Dic146—21no—
772Dic146—21no—
773Dic146—21no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—41no—
779Dic146—42no—
780Dic146—42no—
781Dic146—81no—
782Dic146C2×#4112yes—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—22no—
796C22×C73—21no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—84no—
806C22×C73#57512yes—
807C22×C73C23×D411yescharacteristic
808C2×D73—21no—
809C2×D73—21no—
810C2×D73—21no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73C22×#4111yescharacteristic
821C4×C73#58511yescharacteristic
822Dic73—21no—
823Dic73—21no—
824Dic73—21no—
825Dic73—22no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—21no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—42no—
841C2×C73—81no—
842C2×C73—81no—
843C2×C73D4×#4111yescharacteristic
844C2×C73C2×#57511yescharacteristic
845C2×C73#358611yescharacteristic
846D73—41no—
847#3482—731no—
848#3475—731no—
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343—731no—
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306D7311yescharacteristic, complemented
860#3300—731no—
861#3296—731no—
862#3282—731no—
863#3269—731no—
864#3266—731no—
865#3183—731no—
866#3181—731no—
867#3181—731no—
868#3117—731no—
869#3116—731no—
870#3114—731no—
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970—731no—
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#135—731no—
881C22×SD16—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—731no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—1461no—
903#547C2×D7311yescharacteristic
904#546—731no—
905#546C2×D7311yescharacteristic
906#533—731no—
907#533—731no—
908#533—1461no—
909#529—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529—1461no—
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41—1461no—
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#499—731no—
930#497—731no—
931#497—731no—
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489C2×D7311yescharacteristic
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483C2×D7311yescharacteristic
947#482—731no—
948#482—731no—
949#481C2×D7311yescharacteristic
950#480—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#477—731no—
960#476C2×D7311yescharacteristic
961#475—731no—
962#475—731no—
963#470—731no—
964#469C2×D7311yescharacteristic
965#468—731no—
966#468—731no—
967#467—731no—
968#467—731no—
969#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465C2×D7311yescharacteristic
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#463—731no—
980#463—731no—
981#463—731no—
982#463C2×D7311yescharacteristic
983#462—731no—
984#462—731no—
985#462—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#451—731no—
992#451—731no—
993#451—731no—
994#450—731no—
995#449—731no—
996#449C2×D7311yescharacteristic
997#448—731no—
998#447C2×D7311yescharacteristic
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442C2×D7311yescharacteristic
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435C2×D7311yescharacteristic
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#427—731no—
1040C2×#107—731no—
1041#419—731no—
1042#417C2×D7311yescharacteristic
1043#416—731no—
1044#416—731no—
1045C2×#103—731no—
1046C2×#102C2×D7311yescharacteristic
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—21no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41C22×D7311yescharacteristic
1055C22×Q8—731no—
1056C22×Q8—731no—
1057C22×D4C22×D7311yescharacteristic
1058C23×C4—1461no—
1059#137—1464no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—1464no—
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8C22×D7311yescharacteristic
1077C2×D8C22×D7311yescharacteristic
1078C2×M16—731no—
1079C2×M16C22×D7311yescharacteristic
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C22×C8C22×D7311yescharacteristic
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—1461no—
1088C4⋊Q8—1461no—
1089C4⋊Q8C22×D7311yescharacteristic
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—731no—
1103#125—731no—
1104#125—731no—
1105#125—731no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124C22×D7311yescharacteristic
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—21no—
1157#121—731no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121C22×D7311yescharacteristic
1164#121C22×D7311yescharacteristic
1165#121C22×D7311yescharacteristic
1166#120—21no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—731no—
1181C4×Q8—731no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8—1461no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117—1461no—
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—1461no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4C22×D7311yescharacteristic
1246C2×C4⋊C4C22×D7311yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—731no—
1251C2×C42—731no—
1252C2×C42—731no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42—1461no—
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107—731no—
1265#107—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106C22×D7311yescharacteristic
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307#102C22×D7311yescharacteristic
1308#102C22×D7311yescharacteristic
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97—731no—
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—21no—
1329#41—22no—
1330#41—41no—
1331#41—44no—
1332#41—2921no—
1333#41—2921no—
1334#41—2922no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—21no—
1338C2×Q8—2921no—
1339C2×Q8—2921no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—731no—
1345C2×Q8—1462no—
1346C2×Q8—1462no—
1347C2×Q8—1461no—
1348C2×Q8—1461no—
1349C2×Q8—1461no—
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—22no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—41no—
1358C2×D4—731no—
1359C2×D4—731no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4D4×D7311yescharacteristic
1364C2×D4C23×D7311yescharacteristic
1365C2×D4C23×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—2924no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—731no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—2921no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—41no—
1400SD16—2921no—
1401SD16—734no—
1402SD16—1462no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—22no—
1408D8—41no—
1409M16—41no—
1410M16—1462no—
1411C2×C8—41no—
1412C2×C8—2921no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—1462no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4D4×D7311yescharacteristic
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
1485C22⋊C4—731no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4D4×D7311yescharacteristic
1510C22⋊C4D4×D7311yescharacteristic
1511C42—731no—
1512C42—731no—
1513C42—731no—
1514C42—731no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—42no—
1540C23—42no—
1541C23—81no—
1542C23—731no—
1543C23C2×D4×D7311yescharacteristic
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—42no—
1548Q8—2922no—
1549Q8—2922no—
1550Q8—2921no—
1551Q8—5841no—
1552Q8—732no—
1553Q8—1461no—
1554Q8—1461no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—22no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—42no—
1570D4—81no—
1571D4—2922no—
1572D4—2921no—
1573D4—2922no—
1574D4—5841no—
1575D4—1462no—
1576D4#41×D7312yes—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—42no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—2921no—
1592C2×C4—2921no—
1593C2×C4—2922no—
1594C2×C4—2922no—
1595C2×C4—2922no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2921no—
1603C2×C4—2921no—
1604C2×C4—2921no—
1605C2×C4—2922no—
1606C2×C4—5841no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—731no—
1613C2×C4—731no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1462no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4—1461no—
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—732no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—22no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—84no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22#1798938312yes—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—2921no—
1668C4—2921no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—1461no—
1675C4—1461no—
1676C4—1461no—
1677C4—1461no—
1678C4—1462no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942211yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—42no—
1687C2—81no—
1688C2—81no—
1689C2—2921no—
1690C2#2262341511yescharacteristic
1691C2C2×#1798938311yescharacteristic
1692C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3306C2
socleC22×C73C23×D4
hypercenter#3306D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22623543C2semidirect
2. #22623482C2semidirect
3. #22623009C2semidirect
4. #22622869C2semidirect
5. #22622772C2semidirect
6. #22622759C2semidirect
7. #22622449C2semidirect
8. #22622365C2semidirect
9. #22622297C2semidirect
10. #22622112C2semidirect
11. #22622028C2semidirect
12. #22621984C2semidirect
13. #22621824C2semidirect
14. #22621762C2semidirect
15. #22621642C2semidirect
16. #22621484C2semidirect
17. #22621437C2semidirect
18. #22620655C2semidirect
19. #22620643C2semidirect
20. #22620633C2semidirect
21. #22620099C2semidirect
22. #22620095C2semidirect
23. #22620064C2semidirect
24. #22620058C2semidirect
25. #22620037C2semidirect
26. #22620033C2semidirect
27. #22618941C2semidirect
28. #22618755C2semidirect
29. #22618728C2semidirect
30. C2×#17988684C2semidirect
31. C73×#3306C2semidirect
35. #17989312C22semidirect
37. #17989307C22semidirect
48. #17989272C22semidirect
53. #17989243C22semidirect
57. #17989142C22semidirect
63. #17989118C22semidirect
73. C4×#11924027C22semidirect
75. C2×#14556556C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988987C22semidirect
82. #17988978C22semidirect
84. #17988956C22semidirect
85. #17988954C22semidirect
86. #17988945C22semidirect
88. #17988940C22semidirect
89. #17988931C22semidirect
90. #17988931C22semidirect
91. #17988929C22semidirect
92. #17988926C22semidirect
93. #17988922C22semidirect
97. #17988908C22semidirect
99. #17988897C22semidirect
100. #17988897C22semidirect
101. #17988895C22semidirect
102. #17988892C22semidirect
105. #17988887C22semidirect
107. #17988879C22semidirect
108. #17988871C22semidirect
109. #17988871C22semidirect
110. #17988845C22semidirect
112. #17988831C22semidirect
114. #17988827C22semidirect
115. #17988827C22semidirect
122. #17988807C22semidirect
127. #17988798C22semidirect
128. #17988796C22semidirect
129. #17988796C22semidirect
134. #17988746C22semidirect
136. #17988745C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
145. #17988695C22semidirect
146. #17988693C22semidirect
147. #17988693C22semidirect
148. #17988693C22semidirect
149. #17988691C22semidirect
150. #17988691C22semidirect
151. #17988691C22semidirect
152. #17988688C22semidirect
154. #17988687C22semidirect
165. #17988684C22semidirect
166. #17988679C22semidirect
167. #17988679C22semidirect
170. #17988661C22semidirect
172. #17988656C22semidirect
175. #17988643C22semidirect
177. #17988641C22semidirect
178. #17988627C22semidirect
179. #17988622C22semidirect
181. #17988597C22semidirect
183. #17988580C22semidirect
185. M16×Dic73C22semidirect
187. #97×D73C22semidirect
534. #11924016#41semidirect
859. #3306D73semidirect
878. C73#61455semidirect

Maximal subgroups

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

subgroupindex
#226235432
#226234822
#226230092
#226228692
#226227722
#226227592
#226224492
#226223652
#226222972
#226221122
#226220282
#226219842
#226218242
#226217622
#226216422
#226214842
#226214372
#226206552
#226206432
#226206332
#226200992
#226200952
#226200642
#226200582
#226200372
#226200332
#226189412
#226187552
#226187282
C2×#179886842
C73×#33062
#6145573