Finite Group Databasebeta

← #33954549

Subgroups — #33954549

Order 18688.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623362C211yesmaximal, characteristic, complemented
2C4×#14556636C211yesmaximal, characteristic, complemented
3#22620213C211yesmaximal, characteristic, complemented
4#22620203C211yesmaximal, characteristic, complemented
5#22620181C211yesmaximal, characteristic, complemented
6#22620177C211yesmaximal, characteristic, complemented
7#22620148C211yesmaximal, characteristic, complemented
8#22620142C211yesmaximal, characteristic, complemented
9#22620120C211yesmaximal, characteristic, complemented
10#22620116C211yesmaximal, characteristic, complemented
11#22619998C211yesmaximal, characteristic, complemented
12#22619996C211yesmaximal, characteristic, complemented
13#22619982C211yesmaximal, characteristic, complemented
14#22619978C211yesmaximal, characteristic, complemented
15#22619953C211yesmaximal, characteristic, complemented
16#22619951C211yesmaximal, characteristic, complemented
17#22619937C211yesmaximal, characteristic, complemented
18#22619915C211yesmaximal, characteristic, complemented
19#22619893C211yesmaximal, characteristic, complemented
20#22619788C211yesmaximal, characteristic, complemented
21#22619757C211yesmaximal, characteristic, complemented
22#22619476C211yesmaximal, characteristic, complemented
23#22619438C211yesmaximal, characteristic, complemented
24#22619236C211yesmaximal, characteristic
25#22619203C211yesmaximal, characteristic, complemented
26C4×#14556620C211yesmaximal, characteristic, complemented
27C4×#14556618C211yesmaximal, characteristic, complemented
28C4×#14556612C211yesmaximal, characteristic, complemented
29C4×SD16×D73C211yesmaximal, characteristic, complemented
30#22618570C211yesmaximal, characteristic, complemented
31C73×#3101C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#14556620C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556612C2211yescharacteristic
36C2×SD16×D73C2211yescharacteristic
37#17989214C2211yescharacteristic, complemented
38#17989211C2211yescharacteristic, complemented
39#17989210C2211yescharacteristic, complemented
40#17989207—21no—
41#17989198C2211yescharacteristic, complemented
42#17989197C2211yescharacteristic, complemented
43#17989196—21no—
44#17989185—21no—
45#17989183—21no—
46#17989167C2211yescharacteristic
47#17989162C2211yescharacteristic, complemented
48#17989160C2211yescharacteristic
49#17989141—21no—
50#17989141C2211yescharacteristic, complemented
51#17989124—21no—
52#17989124C2211yescharacteristic, complemented
53#17989121C2211yescharacteristic, complemented
54#17989115—21no—
55#17989115—21no—
56#17989068C2211yescharacteristic
57#17989068C2211yescharacteristic
58#17989066—21no—
59#17989066C2211yescharacteristic
60#17989066C2211yescharacteristic
61#17989062C2211yescharacteristic
62#17989060—21no—
63#17989060—21no—
64#17989059—21no—
65#17989059C2211yescharacteristic
66#17989059C2211yescharacteristic
67C4×#11924029C2211yescharacteristic, complemented
68C4×#11924028C2211yescharacteristic
69C4×#11924028C2211yescharacteristic
70C4×#11924027—21no—
71C4×#11924027C2211yescharacteristic
72C4×#11924027C2211yescharacteristic
73C4×Q8×D73C2211yescharacteristic, complemented
74C2×C4×C22⋊D73—21no—
75C2×C4×C22⋊D73—21no—
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78C4×D4×D73C2211yescharacteristic
79#17988931C2211yescharacteristic, complemented
80#17988929C2211yescharacteristic, complemented
81#17988927C2211yescharacteristic, complemented
82#17988926C2211yescharacteristic, complemented
83#17988925C2211yescharacteristic, complemented
84#17988925C2211yescharacteristic, complemented
85#17988922C2211yescharacteristic, complemented
86#17988921C2211yescharacteristic, complemented
87#17988919C2211yescharacteristic, complemented
88#17988916C2211yescharacteristic, complemented
89#17988913C2211yescharacteristic, complemented
90#17988912C2211yescharacteristic, complemented
91#17988907C2211yescharacteristic, complemented
92#17988905C2211yescharacteristic, complemented
93#17988897C2211yescharacteristic, complemented
94#17988895C2211yescharacteristic, complemented
95#17988889C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988887C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988885C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988869C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988864C2211yescharacteristic, complemented
107#17988812C2211yescharacteristic, complemented
108#17988810C2211yescharacteristic, complemented
109#17988805C2211yescharacteristic, complemented
110#17988804C2211yescharacteristic, complemented
111#17988804C2211yescharacteristic, complemented
112#17988803C2211yescharacteristic, complemented
113#17988802C2211yescharacteristic, complemented
114#17988802C2211yescharacteristic, complemented
115#17988796C2211yescharacteristic, complemented
116#17988794C2211yescharacteristic, complemented
117#17988791C2211yescharacteristic, complemented
118#17988790C2211yescharacteristic, complemented
119#17988790C2211yescharacteristic, complemented
120#17988789C2211yescharacteristic, complemented
121#17988751C2211yescharacteristic
122#17988750C2211yescharacteristic
123#17988747C2211yescharacteristic
124#17988747C2211yescharacteristic
125#17988746C2211yescharacteristic
126#17988746C2211yescharacteristic
127#17988739C2211yescharacteristic
128#17988738C2211yescharacteristic
129#17988736C2211yescharacteristic
130#17988736C2211yescharacteristic
131#17988734C2211yescharacteristic
132#17988733C2211yescharacteristic
133#17988722C2211yescharacteristic
134#17988721C2211yescharacteristic
135#17988698C2211yescharacteristic, complemented
136#17988696C2211yescharacteristic, complemented
137#17988693C2211yescharacteristic, complemented
138#17988691C2211yescharacteristic, complemented
139#17988690C2211yescharacteristic, complemented
140#17988688C2211yescharacteristic, complemented
141#17988688C2211yescharacteristic, complemented
142#17988684C2211yescharacteristic, complemented
143C4×Dic292C2211yescharacteristic, complemented
144C4×#11924018C2211yescharacteristic, complemented
145C4×#11924018C2211yescharacteristic, complemented
146#17988679C2211yescharacteristic, complemented
147#17988678C2211yescharacteristic, complemented
148C4×#11924017C2211yescharacteristic, complemented
149C4×#11924017C2211yescharacteristic, complemented
150SD16×Dic73C2211yescharacteristic, complemented
151SD16×Dic73C2211yescharacteristic, complemented
152C4×#11924015C2211yescharacteristic, complemented
153C4×#11924015C2211yescharacteristic, complemented
154#17988674C2211yescharacteristic, complemented
155#17988674C2211yescharacteristic, complemented
156C4×#11924016C2211yescharacteristic, complemented
157C4×#11924016C2211yescharacteristic, complemented
158#17988672C2211yescharacteristic, complemented
159C4×D584C2211yescharacteristic, complemented
160C4×#11924013C2211yescharacteristic, complemented
161C4×#11924013C2211yescharacteristic, complemented
162#17988667C2211yescharacteristic, complemented
163#17988647C2211yescharacteristic, complemented
164#17988647C2211yescharacteristic, complemented
165#17988645C2211yescharacteristic, complemented
166#17988645C2211yescharacteristic, complemented
167#17988640C2211yescharacteristic, complemented
168#17988638C2211yescharacteristic, complemented
169#17988638C2211yescharacteristic, complemented
170#17988626C2211yescharacteristic, complemented
171#17988626C2211yescharacteristic, complemented
172#17988622C2211yescharacteristic, complemented
173#106×D73C2211yescharacteristic, complemented
174#17988612C2211yescharacteristic, complemented
175#17988612C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic
178#17988587C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic
180#17988582C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186C4×#11924011C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#533×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#483×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#476×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#461×C73C2211yescharacteristic, complemented
195#461×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198C4×SD16×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#431×C73C2211yescharacteristic, complemented
203#14556636—24no—
204#14556636—24no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C2×Q8×D73C2311yescharacteristic
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C22×C4×D73—21no—
218C22×C4×D73—21no—
219#14556620—24no—
220#14556618—24no—
221#14556612—24no—
222C2×Dic292C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231SD16×D73—24no—
232C2×D584C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239#14556590—21no—
240#14556590C2311yescharacteristic
241#14556589—21no—
242#14556589C2311yescharacteristic
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556585—21no—
249#14556584—21no—
250#14556584—21no—
251#14556583C2311yescharacteristic
252#14556582—21no—
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556580—21no—
260#14556580C2311yescharacteristic
261#14556579C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556571—21no—
273#14556571C2311yescharacteristic
274#14556570C2311yescharacteristic
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556567—21no—
281#14556567—21no—
282#14556567C2311yescharacteristic
283#14556567C2311yescharacteristic
284#14556566—21no—
285#14556566C2311yescharacteristic
286#14556565C2311yescharacteristic
287#14556564—21no—
288#14556564—21no—
289Q8×Dic73C2311yescharacteristic
290Q8×Dic73C2311yescharacteristic
291C4×Dic146—21no—
292C4×Dic146—21no—
293C4×Dic146D411yescharacteristic
294C4×Dic146D411yescharacteristic
295C4×Dic146C2311yescharacteristic
296C4×Dic146C2311yescharacteristic
297C4×Dic146C2311yescharacteristic
298#14556556—21no—
299#14556556—21no—
300#14556556C2311yescharacteristic
301#14556556C2311yescharacteristic
302#14556556C2311yescharacteristic
303C4×D292—21no—
304C4×D292—21no—
305C4×D292D411yescharacteristic
306C4×D292D411yescharacteristic
307C4×D292C2311yescharacteristic
308C4×D292C2311yescharacteristic
309C4×D292C2311yescharacteristic
310D4×Dic73—21no—
311D4×Dic73—21no—
312D4×Dic73C2311yescharacteristic
313D4×Dic73C2311yescharacteristic
314D4×Dic73C2311yescharacteristic
315D4×Dic73C2311yescharacteristic
316#14556553—21no—
317#14556553—21no—
318#14556553C2311yescharacteristic
319#14556553C2311yescharacteristic
320#14556553C2311yescharacteristic
321C4×C22⋊D73—21no—
322C4×C22⋊D73—21no—
323C4×C22⋊D73—21no—
324C4×C22⋊D73—21no—
325C4×C22⋊D73—21no—
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73D411yescharacteristic
337C4×C22⋊D73D411yescharacteristic
338C4×C22⋊D73D411yescharacteristic
339C4×C22⋊D73D411yescharacteristic
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556550C2311yescharacteristic
349#14556550C2311yescharacteristic
350#14556549—21no—
351#14556549—21no—
352#14556549C2311yescharacteristic
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556548—21no—
356#14556548—21no—
357#14556548—21no—
358#14556548—21no—
359#14556548C2311yescharacteristic
360#14556548C2311yescharacteristic
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365C2×#11924007—21no—
366C2×#11924007—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C2×C22⋊Dic73—21no—
373C2×C22⋊Dic73—21no—
374C2×#11924005—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C23×C4×C73—21no—
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C4⋊Q8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#125×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C4×Q8×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463C2×C4⋊C4×C73C2311yescharacteristic
464C2×C22⋊C4×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C4×C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—22no—
487#11924029—22no—
488#11924028—22no—
489#11924028—22no—
490#11924028—22no—
491#11924028—22no—
492#11924027—28no—
493#11924027—22no—
494#11924027—22no—
495#11924027—22no—
496#11924027#4114yes—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502Q8×D73—22no—
503Q8×D73—22no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292C2×D411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×C22⋊D73—28no—
510C2×C22⋊D73—28no—
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⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—28no—
520D4×D73—22no—
521D4×D73—22no—
522D4×D73—22no—
523D4×D73#4114yes—
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—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—82no—
543C2×C4×D73—82no—
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550Dic292—22no—
551#11924018—22no—
552#11924018—22no—
553#11924017—22no—
554#11924017—22no—
555#11924016—22no—
556#11924016—22no—
557#11924015—22no—
558#11924015—22no—
559D584—22no—
560#11924013—22no—
561#11924013—22no—
562#11924011—22no—
563#11924011—22no—
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C8×D73—22no—
569C8×D73—22no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C24×C73—21no—
651C2×Q8×C73—21no—
652C2×Q8×C73C2411yescharacteristic
653C2×Q8×C73C2411yescharacteristic
654C2×D4×C73—22no—
655C2×D4×C73—22no—
656C2×D4×C73—21no—
657C2×D4×C73C2411yescharacteristic
658C2×D4×C73C2411yescharacteristic
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73—82no—
665C22×C4×C73C2×D411yescharacteristic
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2411yescharacteristic
668SD16×C73—22no—
669SD16×C73—22no—
670SD16×C73—22no—
671SD16×C73—22no—
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73C2411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C42×C73—21no—
695C42×C73—21no—
696C42×C73C2×D411yescharacteristic
697C42×C73C2×D411yescharacteristic
698C42×C73C2411yescharacteristic
699C42×C73C2411yescharacteristic
700C23×C73—24no—
701C23×C73—21no—
702C23×C73—21no—
703C23×C73—81no—
704C23×C73—81no—
705C23×C73C22×D411yescharacteristic
706C22×D73—21no—
707C22×D73—24no—
708C22×D73—24no—
709C22×D73—21no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73C22×D411yescharacteristic
715C22×D73C22×D411yescharacteristic
716Q8×C73—21no—
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73—21no—
720Q8×C73—81no—
721D4×C73—24no—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73C2×#4112yes—
725D4×C73C2×#4112yes—
726C2×C4×C73—22no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—41no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73—81no—
739C2×C4×C73—81no—
740C2×C4×C73—81no—
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C2511yescharacteristic
747C22⋊D73—24no—
748C22⋊D73—24no—
749C22⋊D73—24no—
750C22⋊D73—24no—
751C22⋊D73—22no—
752C22⋊D73—24no—
753C22⋊D73—22no—
754C22⋊D73—81no—
755C2×Dic73—24no—
756C2×Dic73—21no—
757C2×Dic73—24no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—81no—
764C2×Dic73—81no—
765C2×Dic73—81no—
766C2×Dic73—81no—
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773D292—22no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—42no—
778D292—81no—
779D292C2×#4112yes—
780C4×D73—24no—
781C4×D73—22no—
782C4×D73—22no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—41no—
786C4×D73—41no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73C2×#4112yes—
799C4×D73C2×#4112yes—
800Dic146—21no—
801Dic146—22no—
802Dic146—21no—
803Dic146—21no—
804Dic146—42no—
805Dic146—81no—
806Dic146C2×#4112yes—
807C8×C73—21no—
808C8×C73—21no—
809C8×C73—21no—
810C8×C73—21no—
811#10596831—21no—
812#10596831—21no—
813#10596831—21no—
814#10596831—21no—
815C22×C73—21no—
816C22×C73—22no—
817C22×C73—22no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—84no—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—22no—
831C2×D73—21no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—84no—
838C2×D73—84no—
839C2×D73#52512yes—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73#57712yes—
851C4×C73C22×#4111yescharacteristic
852C4×C73C22×#4111yescharacteristic
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—22no—
857Dic73—21no—
858Dic73—21no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73#52512yes—
865#60571—731nomaximal, Sylow
866C2×C73—42no—
867C2×C73—42no—
868C2×C73—41no—
869C2×C73C2×#52511yescharacteristic
870C2×C73C2×#57711yescharacteristic
871C2×C73#358411yescharacteristic
872D73—22no—
873D73—41no—
874D73—42no—
875D73—81no—
876#3461—731no—
877C4×H(5,𝔽2)—731no—
878#3125—731no—
879#3125—731no—
880#3123—731no—
881#3123—731no—
882#3120—731no—
883#3120—731no—
884#3118—731no—
885#3118—731no—
886#3107—731no—
887#3107—731no—
888#3105—731no—
889#3105—731no—
890#3102—731no—
891#3102—731no—
892#3101—731no—
893#3101D7311yescharacteristic, complemented
894#3099—731no—
895#3097—731no—
896#3084—731no—
897#3081—731no—
898#3046—731no—
899#3042—731no—
900#3012—731no—
901#3009—731no—
902C4×#137—731no—
903C4×AGL(1,ℤ/8)—731no—
904C4×#135—731no—
905C2×C4×SD16—731no—
906#2922—731no—
907C73#6057111yescharacteristic, complemented, Sylow
908C2×H(5,𝔽2)—731no—
909C2×#137—731no—
910C2×AGL(1,ℤ/8)—731no—
911C2×#135—731no—
912C22×SD16—731no—
913#544—731no—
914#542—731no—
915#542—731no—
916#542—1461no—
917#541—731no—
918#541—731no—
919#541—1461no—
920#539—1461no—
921#539—1461no—
922#537—731no—
923#536—731no—
924#536—731no—
925#533—731no—
926#533—1461no—
927#533C2×D7311yescharacteristic, complemented
928#529—731no—
929#529—731no—
930#529—1461no—
931#529—1461no—
932#529—1461no—
933#520—731no—
934#520—731no—
935#520—731no—
936#520—731no—
937#520—1461no—
938#518—731no—
939#518—731no—
940#518—731no—
941#518—1461no—
942#518—1461no—
943#518—1461no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C4×#41—731no—
948C4×#41—731no—
949C4×#41—1461no—
950C2×C4×Q8—731no—
951C2×C4×D4—731no—
952C2×C4×D4—731no—
953C2×C4×D4—1461no—
954C2×C4×D4—1461no—
955C2×C4×D4—1461no—
956C2×C4×D4C2×D7311yescharacteristic
957#485—731no—
958#485—731no—
959#485—731no—
960#485—731no—
961#485—731no—
962#485—731no—
963#484—731no—
964#484—731no—
965#483—731no—
966#483—731no—
967#483C2×D7311yescharacteristic, complemented
968#483C2×D7311yescharacteristic, complemented
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#479—731no—
974#479—731no—
975#478—731no—
976#478—731no—
977#478—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#476—731no—
982#476—731no—
983#476C2×D7311yescharacteristic, complemented
984#476C2×D7311yescharacteristic, complemented
985#475—731no—
986#475—731no—
987#474—731no—
988#474—731no—
989#464—731no—
990#464—731no—
991#463—731no—
992#463—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#462—731no—
998#462—731no—
999#461—731no—
1000#461—731no—
1001#461—731no—
1002#461—731no—
1003#461C2×D7311yescharacteristic, complemented
1004#461C2×D7311yescharacteristic, complemented
1005#452—731no—
1006#452—731no—
1007#452—731no—
1008#452—731no—
1009#452—731no—
1010#452—731no—
1011#450—731no—
1012#450—731no—
1013#450—731no—
1014#450—731no—
1015#450C2×D7311yescharacteristic
1016#450C2×D7311yescharacteristic
1017#449—731no—
1018#449—731no—
1019#447—731no—
1020#447—731no—
1021#442—731no—
1022#442—731no—
1023#441—731no—
1024#441—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440—731no—
1029C4×Q16—731no—
1030C4×Q16—731no—
1031C4×Q16—731no—
1032C4×Q16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×SD16—731no—
1037C4×SD16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040C4×SD16—731no—
1041C4×SD16—731no—
1042C4×SD16—731no—
1043C4×SD16—731no—
1044C4×SD16—731no—
1045C4×SD16C2×D7311yescharacteristic, complemented
1046C4×SD16C2×D7311yescharacteristic, complemented
1047C4×SD16C2×D7311yescharacteristic, complemented
1048C4×SD16C2×D7311yescharacteristic, complemented
1049C4×D8—731no—
1050C4×D8—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#433—731no—
1054#433—731no—
1055#433—731no—
1056#433—731no—
1057#431—731no—
1058#431—731no—
1059#431—731no—
1060#431C2×D7311yescharacteristic, complemented
1061#428—731no—
1062#428—731no—
1063#427—731no—
1064C2×#106—731no—
1065#424—731no—
1066#424—731no—
1067#419—731no—
1068#418—731no—
1069#417—731no—
1070#417—731no—
1071#416—731no—
1072#416—731no—
1073C2×#103—731no—
1074C2×#102—731no—
1075#408—731no—
1076#408—731no—
1077C4×M16—731no—
1078C2×C4×C8—731no—
1079H(5,𝔽2)—1464no—
1080H(5,𝔽2)—1464no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—1461no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094C23×C4—21no—
1095C23×C4—1461no—
1096C23×C4—1461no—
1097#137—1464no—
1098AGL(1,ℤ/8)—1464no—
1099#135—1464no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×SD16—731no—
1106C2×SD16—731no—
1107C2×SD16—731no—
1108C2×SD16—731no—
1109C2×SD16—1464no—
1110C2×SD16C22×D7311yescharacteristic
1111C2×SD16C22×D7311yescharacteristic
1112C2×SD16C22×D7311yescharacteristic
1113C2×SD16C22×D7311yescharacteristic
1114C2×D8—731no—
1115C2×D8—731no—
1116C2×D8—731no—
1117C2×M16—731no—
1118C2×M16—731no—
1119C22×C8—731no—
1120C22×C8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—1461no—
1124C4⋊Q8—1461no—
1125C4⋊Q8C22×D7311yescharacteristic
1126C4⋊Q8C22×D7311yescharacteristic
1127#126—1461no—
1128#126—1461no—
1129#126—1461no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#125—21no—
1136#125—731no—
1137#125—731no—
1138#125—1461no—
1139#125—1461no—
1140#125—1461no—
1141#125—1461no—
1142#125—1461no—
1143#125—1461no—
1144#124—731no—
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157C22⋊Q8—21no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8C22×D7311yescharacteristic
1171C22⋊Q8C22×D7311yescharacteristic
1172#121—731no—
1173#121—731no—
1174#121—1461no—
1175#121—1461no—
1176#121—1461no—
1177C4×Q8—21no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—731no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—1461no—
1189C4×Q8—1461no—
1190C4×Q8—1461no—
1191C4×Q8—1461no—
1192C4×Q8C22×D7311yescharacteristic
1193C4×Q8C22×D7311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—731no—
1205C4×D4—731no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4—1461no—
1217C4×D4—1461no—
1218C4×D4—1461no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4C22×D7311yescharacteristic
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245#117—21no—
1246#117—731no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—731no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263C2×C4⋊C4—731no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4C22×D7311yescharacteristic
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C22⋊C4—1461no—
1278C2×C22⋊C4—1461no—
1279C2×C22⋊C4—1461no—
1280C2×C42—731no—
1281C2×C42—731no—
1282C2×C42—1461no—
1283C2×C42—1461no—
1284C2×C42—1461no—
1285C2×C42—1461no—
1286C2×C42—1461no—
1287C2×C42C22×D7311yescharacteristic
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298#106—731no—
1299#106—731no—
1300#106C22×D7311yescharacteristic
1301#106C22×D7311yescharacteristic
1302#106C22×D7311yescharacteristic
1303#106C22×D7311yescharacteristic
1304C4⋊C8—731no—
1305C4⋊C8—731no—
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8C22×D7311yescharacteristic
1311C4⋊C8C22×D7311yescharacteristic
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103C22×D7311yescharacteristic
1325#103C22×D7311yescharacteristic
1326#103C22×D7311yescharacteristic
1327#103C22×D7311yescharacteristic
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344C22⋊C8—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8C22×D7311yescharacteristic
1351C22⋊C8C22×D7311yescharacteristic
1352#97—731no—
1353#97—731no—
1354C4×C8—731no—
1355C4×C8—731no—
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8C22×D7311yescharacteristic
1359C4×C8C22×D7311yescharacteristic
1360C24—21no—
1361C24—1461no—
1362C24—1461no—
1363#41—734no—
1364#41—1462no—
1365#41—1462no—
1366#41—1462no—
1367#41—1462no—
1368#41—1462no—
1369#41—1462no—
1370#41—1462no—
1371#41—1462no—
1372#41—1468no—
1373#41—1462no—
1374C2×Q8—21no—
1375C2×Q8—731no—
1376C2×Q8—731no—
1377C2×Q8—731no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8—1462no—
1381C2×Q8—1462no—
1382C2×Q8C23×D7311yescharacteristic
1383C2×Q8C23×D7311yescharacteristic
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—734no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1462no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1462no—
1399C2×D4—1468no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1468no—
1404C2×D4—1468no—
1405C2×D4—1461no—
1406C2×D4—1462no—
1407C2×D4C23×D7311yescharacteristic
1408C2×D4C23×D7311yescharacteristic
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—82no—
1415C22×C4—5842no—
1416C22×C4—5842no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4D4×D7311yescharacteristic
1442C22×C4D4×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444Q16—1462no—
1445Q16—1462no—
1446Q16—1462no—
1447SD16—22no—
1448SD16—22no—
1449SD16—22no—
1450SD16—22no—
1451SD16—1462no—
1452SD16—1462no—
1453SD16—1462no—
1454SD16—1462no—
1455SD16—1462no—
1456SD16—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—1462no—
1461M16—1462no—
1462C2×C8—731no—
1463C2×C8—731no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8—1462no—
1467C2×C8—1462no—
1468C2×C8C23×D7311yescharacteristic
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4C23×D7311yescharacteristic
1513C4⋊C4C23×D7311yescharacteristic
1514C4⋊C4C23×D7311yescharacteristic
1515C4⋊C4C23×D7311yescharacteristic
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C42—21no—
1553C42—21no—
1554C42—731no—
1555C42—731no—
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42D4×D7311yescharacteristic
1573C42D4×D7311yescharacteristic
1574C42C23×D7311yescharacteristic
1575C42C23×D7311yescharacteristic
1576C23—24no—
1577C23—21no—
1578C23—21no—
1579C23—81no—
1580C23—81no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—731no—
1586C23—731no—
1587C23—1464no—
1588C23—1464no—
1589C23—1461no—
1590C23—1461no—
1591C23C2×D4×D7311yescharacteristic
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—81no—
1597Q8—2922no—
1598Q8—5841no—
1599Q8—732no—
1600Q8—1462no—
1601Q8—1461no—
1602Q8—1461no—
1603Q8—1461no—
1604D4—24no—
1605D4—21no—
1606D4—21no—
1607D4—2922no—
1608D4—5841no—
1609D4—5841no—
1610D4—732no—
1611D4—1462no—
1612D4—1462no—
1613D4—1464no—
1614D4—1462no—
1615D4—1464no—
1616D4—1464no—
1617D4—1464no—
1618D4—1464no—
1619D4—1461no—
1620D4—1461no—
1621D4—1461no—
1622D4#41×D7312yes—
1623D4#41×D7312yes—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—41no—
1634C2×C4—42no—
1635C2×C4—42no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—2921no—
1640C2×C4—2921no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—2922no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—731no—
1657C2×C4—732no—
1658C2×C4—732no—
1659C2×C4—731no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—1464no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1464no—
1671C2×C4—1464no—
1672C2×C4—1461no—
1673C2×C4—1462no—
1674C2×C4—1462no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4C2×D4×D7311yescharacteristic
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C24×D7311yescharacteristic
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C22—21no—
1692C22—21no—
1693C22—22no—
1694C22—22no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—84no—
1701C22—2921no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—5844no—
1707C22—5844no—
1708C22—732no—
1709C22—1461no—
1710C22—1462no—
1711C22—1461no—
1712C22—1461no—
1713C22—1461no—
1714C22—1461no—
1715C22C22×D4×D7311yescharacteristic
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—2921no—
1727C4—2921no—
1728C4—2921no—
1729C4—2921no—
1730C4—2921no—
1731C4—732no—
1732C4—1461no—
1733C4—1461no—
1734C4—1461no—
1735C4—1462no—
1736C4—1461no—
1737C4—1461no—
1738C4#1798939312yes—
1739C4C2×#41×D7311yescharacteristic
1740C4C2×#41×D7311yescharacteristic
1741C2—41no—
1742C2—42no—
1743C2—42no—
1744C2—2922no—
1745C2—2921no—
1746C2—5841no—
1747C2—1462no—
1748C2#525×D7311yescharacteristic
1749C2C2×#1798939311yescharacteristic
1750C2#2262470411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3101C2
socleC22×C73C23×D4
prime radical#22619236C2
hypercenter#3101D73
hypocenterC73#60571
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3101

Complements

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

NH ≅ G/Ntype
1. #22623362C2semidirect
2. C4×#14556636C2semidirect
3. #22620213C2semidirect
4. #22620203C2semidirect
5. #22620181C2semidirect
6. #22620177C2semidirect
7. #22620148C2semidirect
8. #22620142C2semidirect
9. #22620120C2semidirect
10. #22620116C2semidirect
11. #22619998C2semidirect
12. #22619996C2semidirect
13. #22619982C2semidirect
14. #22619978C2semidirect
15. #22619953C2semidirect
16. #22619951C2semidirect
17. #22619937C2semidirect
18. #22619915C2semidirect
19. #22619893C2semidirect
20. #22619788C2semidirect
21. #22619757C2semidirect
22. #22619476C2semidirect
23. #22619438C2semidirect
25. #22619203C2semidirect
26. C4×#14556620C2semidirect
27. C4×#14556618C2semidirect
28. C4×#14556612C2semidirect
29. C4×SD16×D73C2semidirect
30. #22618570C2semidirect
31. C73×#3101C2semidirect
37. #17989214C22semidirect
38. #17989211C22semidirect
39. #17989210C22semidirect
41. #17989198C22semidirect
42. #17989197C22semidirect
47. #17989162C22semidirect
50. #17989141C22semidirect
52. #17989124C22semidirect
53. #17989121C22semidirect
67. C4×#11924029C22semidirect
73. C4×Q8×D73C22semidirect
79. #17988931C22semidirect
80. #17988929C22semidirect
81. #17988927C22semidirect
82. #17988926C22semidirect
83. #17988925C22semidirect
84. #17988925C22semidirect
85. #17988922C22semidirect
86. #17988921C22semidirect
87. #17988919C22semidirect
88. #17988916C22semidirect
89. #17988913C22semidirect
90. #17988912C22semidirect
91. #17988907C22semidirect
92. #17988905C22semidirect
93. #17988897C22semidirect
94. #17988895C22semidirect
95. #17988889C22semidirect
96. #17988888C22semidirect
97. #17988887C22semidirect
98. #17988887C22semidirect
99. #17988886C22semidirect
100. #17988885C22semidirect
101. #17988876C22semidirect
102. #17988875C22semidirect
103. #17988871C22semidirect
104. #17988869C22semidirect
105. #17988865C22semidirect
106. #17988864C22semidirect
107. #17988812C22semidirect
108. #17988810C22semidirect
109. #17988805C22semidirect
110. #17988804C22semidirect
111. #17988804C22semidirect
112. #17988803C22semidirect
113. #17988802C22semidirect
114. #17988802C22semidirect
115. #17988796C22semidirect
116. #17988794C22semidirect
117. #17988791C22semidirect
118. #17988790C22semidirect
119. #17988790C22semidirect
120. #17988789C22semidirect
135. #17988698C22semidirect
136. #17988696C22semidirect
137. #17988693C22semidirect
138. #17988691C22semidirect
139. #17988690C22semidirect
140. #17988688C22semidirect
141. #17988688C22semidirect
142. #17988684C22semidirect
143. C4×Dic292C22semidirect
144. C4×#11924018C22semidirect
145. C4×#11924018C22semidirect
146. #17988679C22semidirect
147. #17988678C22semidirect
148. C4×#11924017C22semidirect
149. C4×#11924017C22semidirect
150. SD16×Dic73C22semidirect
151. SD16×Dic73C22semidirect
152. C4×#11924015C22semidirect
153. C4×#11924015C22semidirect
154. #17988674C22semidirect
155. #17988674C22semidirect
156. C4×#11924016C22semidirect
157. C4×#11924016C22semidirect
158. #17988672C22semidirect
159. C4×D584C22semidirect
160. C4×#11924013C22semidirect
161. C4×#11924013C22semidirect
162. #17988667C22semidirect
163. #17988647C22semidirect
164. #17988647C22semidirect
165. #17988645C22semidirect
166. #17988645C22semidirect
167. #17988640C22semidirect
168. #17988638C22semidirect
169. #17988638C22semidirect
170. #17988626C22semidirect
171. #17988626C22semidirect
172. #17988622C22semidirect
173. #106×D73C22semidirect
174. #17988612C22semidirect
175. #17988612C22semidirect
176. #17988594C22semidirect
178. #17988587C22semidirect
180. #17988582C22semidirect
182. #103×D73C22semidirect
186. C4×#11924011C22semidirect
187. C4×C8×D73C22semidirect
188. #533×C73C22semidirect
190. #483×C73C22semidirect
191. #483×C73C22semidirect
192. #476×C73C22semidirect
193. #476×C73C22semidirect
194. #461×C73C22semidirect
195. #461×C73C22semidirect
198. C4×SD16×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #431×C73C22semidirect
893. #3101D73semidirect
907. C73#60571semidirect
927. #533C2×D73semidirect
967. #483C2×D73semidirect
968. #483C2×D73semidirect
983. #476C2×D73semidirect
984. #476C2×D73semidirect
1003. #461C2×D73semidirect
1004. #461C2×D73semidirect
1045. C4×SD16C2×D73semidirect
1046. C4×SD16C2×D73semidirect
1047. C4×SD16C2×D73semidirect
1048. C4×SD16C2×D73semidirect
1060. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226233622
C4×#145566362
#226202132
#226202032
#226201812
#226201772
#226201482
#226201422
#226201202
#226201162
#226199982
#226199962
#226199822
#226199782
#226199532
#226199512
#226199372
#226199152
#226198932
#226197882
#226197572
#226194762
#226194382
#226192362
#226192032
C4×#145566202
C4×#145566182
C4×#145566122
C4×SD16×D732
#226185702
C73×#31012
#6057173