Finite Group Databasebeta

← #33968908

Subgroups — #33968908

Order 18688.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623970C211yesmaximal, characteristic, complemented
2#22623953C211yesmaximal, characteristic, complemented
3#22622952C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622581C211yesmaximal, characteristic, complemented
6#22622564C211yesmaximal, characteristic, complemented
7#22622522C211yesmaximal, characteristic, complemented
8#22622421C211yesmaximal, characteristic, complemented
9#22622417C211yesmaximal, characteristic, complemented
10#22621855C211yesmaximal, characteristic, complemented
11#22621786C211yesmaximal, characteristic, complemented
12#22621782C211yesmaximal, characteristic, complemented
13#22621757C211yesmaximal, characteristic, complemented
14#22621751C211yesmaximal, characteristic, complemented
15#22621740C211yesmaximal, characteristic, complemented
16#22621525C211yesmaximal, characteristic, complemented
17#22621413C211yesmaximal, characteristic, complemented
18#22621405C211yesmaximal, characteristic, complemented
19#22620614C211yesmaximal, characteristic, complemented
20#22620610C211yesmaximal, characteristic, complemented
21#22620487C211yesmaximal, characteristic, complemented
22#22620134C211yesmaximal, characteristic, complemented
23#22620130C211yesmaximal, characteristic, complemented
24#22620119C211yesmaximal, characteristic, complemented
25#22620115C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22620020C211yesmaximal, characteristic, complemented
28#22618902C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30C4×D8×D73C211yesmaximal, characteristic, complemented
31C73×#2946C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×D8×D73C2211yescharacteristic
34#17989309C2211yescharacteristic, complemented
35#17989300C2211yescharacteristic, complemented
36#17989297C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic, complemented
38#17989292C2211yescharacteristic, complemented
39#17989287C2211yescharacteristic
40#17989286—21no—
41#17989281C2211yescharacteristic
42#17989270—21no—
43#17989266—21no—
44#17989261—21no—
45#17989258C2211yescharacteristic, complemented
46D4×Dic146C2211yescharacteristic, complemented
47#17989246—21no—
48#17989238C2211yescharacteristic, complemented
49#17989236C2211yescharacteristic, complemented
50#17989233—21no—
51#17989232C2211yescharacteristic, complemented
52#17989227—21no—
53#17989227—21no—
54#17989225C2211yescharacteristic, complemented
55D4×D292C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic, complemented
59#17989208C2211yescharacteristic, complemented
60#17989192C2211yescharacteristic, complemented
61#17989188C2211yescharacteristic, complemented
62#17989184—21no—
63#17989179—21no—
64#17989175—21no—
65#17989170—21no—
66#17989141C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic
68#17989115C2211yescharacteristic
69#17989096—21no—
70#17989096—21no—
71C2×#14556569—21no—
72C2×#14556564—21no—
73#17989066C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic, complemented
75C4×D4×D73C2211yescharacteristic
76C4×D4×D73C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988943C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988936C2211yescharacteristic, complemented
86#17988934C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988905C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988877C2211yescharacteristic, complemented
106#17988876C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988875C2211yescharacteristic, complemented
109#17988867C2211yescharacteristic, complemented
110#17988866C2211yescharacteristic, complemented
111#17988866C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic, complemented
113#17988841C2211yescharacteristic, complemented
114#17988840C2211yescharacteristic, complemented
115#17988833C2211yescharacteristic, complemented
116#17988830C2211yescharacteristic, complemented
117#17988823C2211yescharacteristic, complemented
118#17988822C2211yescharacteristic, complemented
119#17988819C2211yescharacteristic, complemented
120#17988819C2211yescharacteristic, complemented
121#17988817C2211yescharacteristic, complemented
122#17988816C2211yescharacteristic, complemented
123#17988815C2211yescharacteristic, complemented
124#17988813C2211yescharacteristic, complemented
125#17988805C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic
127#17988802C2211yescharacteristic
128#17988802C2211yescharacteristic, complemented
129#17988791C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic, complemented
131#17988787C2211yescharacteristic, complemented
132#17988786C2211yescharacteristic, complemented
133#17988782C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988780C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic
138#17988738C2211yescharacteristic, complemented
139#17988736C2211yescharacteristic
140#17988736C2211yescharacteristic, complemented
141#17988733C2211yescharacteristic, complemented
142#17988732C2211yescharacteristic, complemented
143#17988732C2211yescharacteristic, complemented
144#17988729C2211yescharacteristic, complemented
145#17988722C2211yescharacteristic
146#17988722C2211yescharacteristic, complemented
147#17988721C2211yescharacteristic
148#17988719C2211yescharacteristic, complemented
149#17988715C2211yescharacteristic, complemented
150C8×Dic146C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988699C2211yescharacteristic
153#17988697C2211yescharacteristic, complemented
154#17988697C2211yescharacteristic, complemented
155#17988689C2211yescharacteristic, complemented
156#17988687C2211yescharacteristic, complemented
157#17988686C2211yescharacteristic, complemented
158#17988685C2211yescharacteristic, complemented
159#17988678C2211yescharacteristic, complemented
160C4×#11924017C2211yescharacteristic, complemented
161C4×#11924015C2211yescharacteristic, complemented
162C4×#11924016C2211yescharacteristic, complemented
163C4×D584C2211yescharacteristic, complemented
164D8×Dic73C2211yescharacteristic
165#17988669C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic
167C4×#11924013C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988649C2211yescharacteristic, complemented
178#17988648C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988628C2211yescharacteristic, complemented
181#107×D73C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189#520×C73C2211yescharacteristic, complemented
190#518×C73C2211yescharacteristic, complemented
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic, complemented
193#440×C73C2211yescharacteristic, complemented
194#440×C73C2211yescharacteristic, complemented
195C4×SD16×C73C2211yescharacteristic, complemented
196C4×SD16×C73C2211yescharacteristic, complemented
197C4×D8×C73C2211yescharacteristic
198C4×D8×C73C2211yescharacteristic, complemented
199#428×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic, complemented
202#405×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924027C2311yescharacteristic
207C22×Dic146—21no—
208C22×D292—21no—
209C22×C22⋊D73—21no—
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215C22×C4×D73—21no—
216#14556615—24no—
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229D8×D73—24no—
230C2×#11924011C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556587C2311yescharacteristic
242#14556586—21no—
243#14556586—21no—
244#14556586D411yescharacteristic
245#14556585—21no—
246#14556585—21no—
247#14556585—21no—
248#14556584—21no—
249#14556584D411yescharacteristic
250#14556583—21no—
251#14556583C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580C2311yescharacteristic
257#14556579—21no—
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576D411yescharacteristic
269#14556575—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573D411yescharacteristic
279#14556572—21no—
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556570—21no—
283#14556570—21no—
284#14556570C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569D411yescharacteristic
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565—21no—
304#14556565—21no—
305#14556565—21no—
306#14556565—21no—
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564D411yescharacteristic
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556562C2311yescharacteristic
325#14556562C2311yescharacteristic
326#14556561—21no—
327#14556561—21no—
328#14556561—21no—
329#14556560—21no—
330#14556560—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334C4×Dic146—21no—
335C4×Dic146C2311yescharacteristic
336C4×Dic146C2311yescharacteristic
337#14556556C2311yescharacteristic
338C4×D292—21no—
339C4×D292—21no—
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548—21no—
367#14556548—21no—
368#14556548C2311yescharacteristic
369#14556547—21no—
370C2×#11924007—21no—
371C2×#11924007—21no—
372C2×#11924007—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C2×#11924005—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439AGL(1,ℤ/8)×C73—24no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73—21no—
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464C2×C22⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×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#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—82no—
485#11924028—82no—
486#11924028—82no—
487#11924027—22no—
488#11924027—41no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—82no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—82no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—82no—
520C2×C22⋊D73—82no—
521C2×C22⋊D73C2×D411yescharacteristic
522C2×C22⋊D73C2×D411yescharacteristic
523D4×D73—22no—
524D4×D73—22no—
525D4×D73—22no—
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—41no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—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—21no—
543C2×C4×D73—82no—
544C2×C4×D73—82no—
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549#11924017—22no—
550#11924017—41no—
551#11924016—22no—
552#11924016—41no—
553#11924015—41no—
554#11924015—41no—
555D584—22no—
556D584—41no—
557#11924013—22no—
558#11924013—22no—
559#11924013—22no—
560#11924013—41no—
561#11924011—22no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—22no—
567C8×D73—41no—
568C8×D73—41no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C24×C73—21no—
643#41×C73—22no—
644#41×C73—41no—
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—41no—
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×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73C2411yescharacteristic
662SD16×C73—22no—
663SD16×C73—22no—
664D8×C73—22no—
665D8×C73#4114yescomplemented
666M16×C73—22no—
667C2×C8×C73—41no—
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73—21no—
691C42×C73—21no—
692C42×C73—21no—
693C42×C73C2411yescharacteristic
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—21no—
698C23×C73—42no—
699C23×C73—81no—
700C23×C73—81no—
701C23×C73C22×D411yescharacteristic
702C22×D73—21no—
703C22×D73—21no—
704C22×D73—21no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73—42no—
708C22×D73—42no—
709C22×D73—42no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73C22×D411yescharacteristic
715C22×D73C22×D411yescharacteristic
716Q8×C73—21no—
717Q8×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—42no—
723D4×C73—42no—
724D4×C73C2×#4112yes—
725D4×C73C2×#4112yes—
726C2×C4×C73—21no—
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—42no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73—81no—
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—22no—
748C22⋊D73—22no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—42no—
770C2×Dic73—81no—
771C2×Dic73—81no—
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778D292—22no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—42no—
786D292—81no—
787D292—81no—
788D292—81no—
789D292—81no—
790C4×D73—22no—
791C4×D73—21no—
792C4×D73—21no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—22no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805Dic146—22no—
806Dic146—21no—
807Dic146—21no—
808Dic146—42no—
809Dic146—81no—
810Dic146—81no—
811Dic146—81no—
812C8×C73—21no—
813C8×C73—21no—
814C8×C73—21no—
815C8×C73C2×#4112yes—
816#10596831—21no—
817#10596831—21no—
818#10596831—21no—
819#10596831—21no—
820C22×C73—22no—
821C22×C73—22no—
822C22×C73—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—162no—
833C22×C73C23×D411yescharacteristic
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—84no—
849C2×D73—84no—
850C2×D73—162no—
851C2×D73#57712yes—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73C22×#4111yescharacteristic
863C4×C73#58511yescharacteristic
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73#57612yes—
875#61496—731nomaximal, Sylow
876C2×C73—42no—
877C2×C73—42no—
878C2×C73—41no—
879C2×C73—81no—
880C2×C73D4×#4111yescharacteristic
881C2×C73C2×#57611yescharacteristic
882C2×C73C2×#57711yescharacteristic
883D73—22no—
884D73—41no—
885D73—81no—
886D73—81no—
887D73—81no—
888#3520—731no—
889#3519—731no—
890#3397—731no—
891#3384—731no—
892#3360—731no—
893#3358—731no—
894#3354—731no—
895#3346—731no—
896#3346—731no—
897#3303—731no—
898#3297—731no—
899#3297—731no—
900#3295—731no—
901#3295—731no—
902#3294—731no—
903#3272—731no—
904#3264—731no—
905#3264—731no—
906#3179—731no—
907#3179—731no—
908#3167—731no—
909#3119—731no—
910#3119—731no—
911#3118—731no—
912#3118—731no—
913#3110—731no—
914#3109—731no—
915#2966—731no—
916#2946—731no—
917#2946D7311yescharacteristic, complemented
918C2×C4×D8—731no—
919C73#6149611yescharacteristic, complemented, Sylow
920C2×AGL(1,ℤ/8)—731no—
921C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
922C22×D8—731no—
923#556—731no—
924#555—731no—
925#554—731no—
926#554—731no—
927#554—731no—
928#553—731no—
929#553—731no—
930#553—1461no—
931#552—1461no—
932#551—1461no—
933#551—1461no—
934#550—731no—
935D4×Q8—731no—
936#548—1461no—
937#547—731no—
938#547—731no—
939#546—731no—
940#546—731no—
941#546—1461no—
942#546—1461no—
943#546—1461no—
944D42—731no—
945D42—731no—
946D42—731no—
947#542—731no—
948#542—731no—
949#540—731no—
950#540—731no—
951#539—1461no—
952#539—1461no—
953#538—1461no—
954#538—1461no—
955#533—731no—
956#532—731no—
957#529—731no—
958#525—1461no—
959#525—1461no—
960C2×C22⋊Q8—1461no—
961C2×#121—1461no—
962#520—731no—
963#520C2×D7311yescharacteristic, complemented
964#518—731no—
965#518C2×D7311yescharacteristic, complemented
966C2×C4×D4—731no—
967C2×C4×D4—731no—
968#501—731no—
969#501—731no—
970#498—731no—
971#496—731no—
972#496—731no—
973#492—731no—
974#488—731no—
975#488—731no—
976#487—731no—
977#486—731no—
978#486—731no—
979#486—731no—
980#485—731no—
981#485—731no—
982#484—731no—
983#484—731no—
984#482—731no—
985#482—731no—
986#481—731no—
987#481—731no—
988#481—731no—
989#481—731no—
990#480—731no—
991#480—731no—
992#479—731no—
993#479—731no—
994#478—731no—
995#478—731no—
996#476—731no—
997#476—731no—
998#476—731no—
999#476—731no—
1000#474—731no—
1001#474—731no—
1002#474—731no—
1003#474—731no—
1004#469—731no—
1005#469—731no—
1006#468—731no—
1007#468—731no—
1008#466—731no—
1009#466—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#461—731no—
1021#461—731no—
1022#460—731no—
1023#460—731no—
1024#459—731no—
1025#459—731no—
1026#459—731no—
1027#459—731no—
1028#450—731no—
1029#450—731no—
1030#450—731no—
1031#450—731no—
1032#449—731no—
1033#449—731no—
1034#449—731no—
1035#449—731no—
1036#447—731no—
1037#447—731no—
1038#447—731no—
1039#447—731no—
1040#446—731no—
1041C8×Q8—731no—
1042#442—731no—
1043#442—731no—
1044#442—731no—
1045#442—731no—
1046#442C2×D7311yescharacteristic
1047#442C2×D7311yescharacteristic, complemented
1048#440—731no—
1049#440—731no—
1050#440—731no—
1051#440—731no—
1052#440C2×D7311yescharacteristic, complemented
1053#440C2×D7311yescharacteristic, complemented
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058C4×SD16C2×D7311yescharacteristic, complemented
1059C4×SD16C2×D7311yescharacteristic, complemented
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063C4×D8—731no—
1064C4×D8—731no—
1065C4×D8—731no—
1066C4×D8—731no—
1067C4×D8—731no—
1068C4×D8C2×D7311yescharacteristic
1069C4×D8C2×D7311yescharacteristic, complemented
1070#436—731no—
1071#435—731no—
1072#435—731no—
1073C8×D4—731no—
1074C8×D4—731no—
1075C8×D4—731no—
1076#433—731no—
1077#433—731no—
1078#432—731no—
1079#428—731no—
1080#428C2×D7311yescharacteristic, complemented
1081C2×#107—731no—
1082#416—731no—
1083#416C2×D7311yescharacteristic, complemented
1084C2×#102—731no—
1085C2×#102—731no—
1086C2×#102—731no—
1087C2×#102C2×D7311yescharacteristic, complemented
1088#405—731no—
1089#405C2×D7311yescharacteristic, complemented
1090C2×C4×C8—731no—
1091C2×#41—731no—
1092C2×#41—1461no—
1093C2×#41—1461no—
1094C2×#41—1461no—
1095C2×#41C22×D7311yescharacteristic
1096C22×Q8—1461no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101C22×D4—1461no—
1102C22×D4—1461no—
1103C22×D4C22×D7311yescharacteristic
1104C23×C4—1461no—
1105C23×C4—1461no—
1106AGL(1,ℤ/8)—24no—
1107AGL(1,ℤ/8)—1464no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16C22×D7311yescharacteristic
1115C2×SD16C22×D7311yescharacteristic
1116C2×D8—731no—
1117C2×D8—731no—
1118C2×D8—731no—
1119C2×D8—731no—
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—1464no—
1123C2×D8C22×D7311yescharacteristic
1124C2×D8C22×D7311yescharacteristic
1125C2×M16—731no—
1126C2×M16C22×D7311yescharacteristic
1127C22×C8—731no—
1128C22×C8—731no—
1129C22×C8—731no—
1130C22×C8C22×D7311yescharacteristic
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8—731no—
1136#127—731no—
1137#127—731no—
1138#127—731no—
1139#126—731no—
1140#126—731no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—731no—
1148#125—731no—
1149#125—731no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#124—731no—
1154#124—731no—
1155#124—731no—
1156#124—1461no—
1157#124—1461no—
1158#124—1461no—
1159#124—1461no—
1160#124—1461no—
1161#123—731no—
1162#123—731no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177C22⋊Q8—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—731no—
1202#121—731no—
1203#121—731no—
1204#121—731no—
1205#121—731no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
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#120—1461no—
1224#120—1461no—
1225#120—1461no—
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—1461no—
1235C4×Q8C22×D7311yescharacteristic
1236C4×Q8C22×D7311yescharacteristic
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—731no—
1242C4×D4—731no—
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—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4C22×D7311yescharacteristic
1268C4×D4C22×D7311yescharacteristic
1269C4×D4C22×D7311yescharacteristic
1270C4×D4C22×D7311yescharacteristic
1271C4×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273#117—21no—
1274#117—731no—
1275#117—731no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117C22×D7311yescharacteristic
1281#117C22×D7311yescharacteristic
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—731no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C4⋊C4—1461no—
1289C2×C4⋊C4C22×D7311yescharacteristic
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—21no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C42—731no—
1299#107—731no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107—731no—
1304#107—731no—
1305#107C22×D7311yescharacteristic
1306#107C22×D7311yescharacteristic
1307#106—731no—
1308#106—731no—
1309#106—731no—
1310#106—731no—
1311#106—731no—
1312#106—731no—
1313#106C22×D7311yescharacteristic
1314#106C22×D7311yescharacteristic
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103C22×D7311yescharacteristic
1328#103C22×D7311yescharacteristic
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#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350#102C22×D7311yescharacteristic
1351#102C22×D7311yescharacteristic
1352#102C22×D7311yescharacteristic
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356C22⋊C8—731no—
1357C22⋊C8—731no—
1358C22⋊C8—731no—
1359#97—731no—
1360#97—731no—
1361#97C22×D7311yescharacteristic
1362#97C22×D7311yescharacteristic
1363C4×C8—731no—
1364C4×C8—731no—
1365C4×C8—731no—
1366C4×C8—731no—
1367C4×C8C22×D7311yescharacteristic
1368C4×C8C22×D7311yescharacteristic
1369C24—21no—
1370C24—1461no—
1371C24—1461no—
1372C24—1461no—
1373#41—22no—
1374#41—41no—
1375#41—2921no—
1376#41—5842no—
1377#41—5842no—
1378#41—5842no—
1379#41—1462no—
1380C2×Q8—5842no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—1461no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8C23×D7311yescharacteristic
1388C2×D4—22no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—2921no—
1393C2×D4—2921no—
1394C2×D4—2921no—
1395C2×D4—5842no—
1396C2×D4—5842no—
1397C2×D4—5842no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1462no—
1417C2×D4—1462no—
1418C2×D4—1462no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4C23×D7311yescharacteristic
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—5842no—
1437C22×C4—5842no—
1438C22×C4—731no—
1439C22×C4—731no—
1440C22×C4—731no—
1441C22×C4—731no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4C23×D7311yescharacteristic
1457SD16—22no—
1458SD16—22no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—1462no—
1464SD16—1462no—
1465D8—22no—
1466D8—2921no—
1467D8—2921no—
1468D8—1462no—
1469D8—1462no—
1470D8—1462no—
1471D8—1462no—
1472D8#1192402814yescomplemented
1473M16—22no—
1474M16—1462no—
1475C2×C8—41no—
1476C2×C8—2921no—
1477C2×C8—2921no—
1478C2×C8—731no—
1479C2×C8—731no—
1480C2×C8—731no—
1481C2×C8—731no—
1482C2×C8—1462no—
1483C2×C8C23×D7311yescharacteristic
1484C2×C8C23×D7311yescharacteristic
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
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—731no—
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⋊C4D4×D7311yescharacteristic
1522C4⋊C4D4×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×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—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1570C22⋊C4D4×D7311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42C23×D7311yescharacteristic
1582C42C23×D7311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—81no—
1588C23—81no—
1589C23—2922no—
1590C23—2922no—
1591C23—2922no—
1592C23—2922no—
1593C23—2922no—
1594C23—5841no—
1595C23—5841no—
1596C23—5841no—
1597C23—5841no—
1598C23—731no—
1599C23—731no—
1600C23—1461no—
1601C23—1461no—
1602C23—1461no—
1603C23C2×D4×D7311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—2922no—
1607Q8—5841no—
1608Q8—5841no—
1609Q8—5841no—
1610Q8—1462no—
1611Q8—1461no—
1612Q8—1461no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—42no—
1618D4—42no—
1619D4—2922no—
1620D4—2922no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—1462no—
1638D4—1462no—
1639D4—1462no—
1640D4—1461no—
1641D4—1461no—
1642D4—1461no—
1643D4—1461no—
1644D4—1461no—
1645D4—1461no—
1646D4C2×#1192402812yes—
1647D4C2×#1192402812yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—2922no—
1664C2×C4—2922no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—5841no—
1669C2×C4—5841no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—731no—
1678C2×C4—731no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—1462no—
1684C2×C4—1462no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4C2×D4×D7311yescharacteristic
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C24×D7311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—1461no—
1704C8—1461no—
1705C8—1461no—
1706C8—1461no—
1707C8C2×#1192402812yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—22no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—162no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—5844no—
1731C22—5844no—
1732C22—732no—
1733C22—11682no—
1734C22—1461no—
1735C22—1461no—
1736C22—1461no—
1737C22—1461no—
1738C22—1461no—
1739C22C22×D4×D7311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—2921no—
1755C4—732no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4—1461no—
1761C4C22×#1192402811yescharacteristic
1762C4#1798942311yescharacteristic
1763C2—41no—
1764C2—42no—
1765C2—42no—
1766C2—81no—
1767C2—2921no—
1768C2—5841no—
1769C2—5841no—
1770C2—5841no—
1771C2—1462no—
1772C2D4×#1192402811yescharacteristic
1773C2#576×D7311yescharacteristic
1774C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2946C2
socleC22×C73C23×D4
hypercenter#2946D73
hypocenterC73#61496
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. #22623970C2semidirect
2. #22623953C2semidirect
3. #22622952C2semidirect
4. #22622831C2semidirect
5. #22622581C2semidirect
6. #22622564C2semidirect
7. #22622522C2semidirect
8. #22622421C2semidirect
9. #22622417C2semidirect
10. #22621855C2semidirect
11. #22621786C2semidirect
12. #22621782C2semidirect
13. #22621757C2semidirect
14. #22621751C2semidirect
15. #22621740C2semidirect
16. #22621525C2semidirect
17. #22621413C2semidirect
18. #22621405C2semidirect
19. #22620614C2semidirect
20. #22620610C2semidirect
21. #22620487C2semidirect
22. #22620134C2semidirect
23. #22620130C2semidirect
24. #22620119C2semidirect
25. #22620115C2semidirect
26. #22620028C2semidirect
27. #22620020C2semidirect
28. #22618902C2semidirect
29. #22618756C2semidirect
30. C4×D8×D73C2semidirect
31. C73×#2946C2semidirect
34. #17989309C22semidirect
35. #17989300C22semidirect
36. #17989297C22semidirect
37. #17989296C22semidirect
38. #17989292C22semidirect
45. #17989258C22semidirect
46. D4×Dic146C22semidirect
48. #17989238C22semidirect
49. #17989236C22semidirect
51. #17989232C22semidirect
54. #17989225C22semidirect
57. D4×C22⋊D73C22semidirect
58. #17989209C22semidirect
59. #17989208C22semidirect
60. #17989192C22semidirect
61. #17989188C22semidirect
66. #17989141C22semidirect
73. #17989066C22semidirect
74. #17989059C22semidirect
76. C4×D4×D73C22semidirect
77. #17988996C22semidirect
78. #17988994C22semidirect
79. #17988984C22semidirect
80. #17988976C22semidirect
81. #17988973C22semidirect
82. #17988958C22semidirect
83. #17988943C22semidirect
84. #17988942C22semidirect
85. #17988936C22semidirect
86. #17988934C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988928C22semidirect
90. #17988926C22semidirect
91. #17988924C22semidirect
92. #17988921C22semidirect
93. #17988914C22semidirect
94. #17988911C22semidirect
95. #17988907C22semidirect
96. #17988907C22semidirect
97. #17988905C22semidirect
98. #17988904C22semidirect
99. #17988900C22semidirect
100. #17988899C22semidirect
101. #17988897C22semidirect
102. #17988894C22semidirect
103. #17988887C22semidirect
104. #17988885C22semidirect
105. #17988877C22semidirect
106. #17988876C22semidirect
107. #17988875C22semidirect
108. #17988875C22semidirect
109. #17988867C22semidirect
110. #17988866C22semidirect
111. #17988866C22semidirect
112. #17988865C22semidirect
113. #17988841C22semidirect
114. #17988840C22semidirect
115. #17988833C22semidirect
116. #17988830C22semidirect
117. #17988823C22semidirect
118. #17988822C22semidirect
119. #17988819C22semidirect
120. #17988819C22semidirect
121. #17988817C22semidirect
122. #17988816C22semidirect
123. #17988815C22semidirect
124. #17988813C22semidirect
125. #17988805C22semidirect
128. #17988802C22semidirect
129. #17988791C22semidirect
130. #17988790C22semidirect
131. #17988787C22semidirect
132. #17988786C22semidirect
133. #17988782C22semidirect
134. #17988781C22semidirect
135. #17988780C22semidirect
136. #17988780C22semidirect
138. #17988738C22semidirect
140. #17988736C22semidirect
141. #17988733C22semidirect
142. #17988732C22semidirect
143. #17988732C22semidirect
144. #17988729C22semidirect
146. #17988722C22semidirect
148. #17988719C22semidirect
149. #17988715C22semidirect
150. C8×Dic146C22semidirect
151. #17988700C22semidirect
153. #17988697C22semidirect
154. #17988697C22semidirect
155. #17988689C22semidirect
156. #17988687C22semidirect
157. #17988686C22semidirect
158. #17988685C22semidirect
159. #17988678C22semidirect
160. C4×#11924017C22semidirect
161. C4×#11924015C22semidirect
162. C4×#11924016C22semidirect
163. C4×D584C22semidirect
165. #17988669C22semidirect
167. C4×#11924013C22semidirect
169. #17988667C22semidirect
170. #17988667C22semidirect
171. #17988663C22semidirect
172. #17988660C22semidirect
173. #17988656C22semidirect
174. C8×D292C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988649C22semidirect
178. #17988648C22semidirect
179. #17988642C22semidirect
180. #17988628C22semidirect
181. #107×D73C22semidirect
182. #17988580C22semidirect
184. #102×D73C22semidirect
185. #102×D73C22semidirect
186. #17988541C22semidirect
187. C4×C8×D73C22semidirect
189. #520×C73C22semidirect
190. #518×C73C22semidirect
192. #442×C73C22semidirect
193. #440×C73C22semidirect
194. #440×C73C22semidirect
195. C4×SD16×C73C22semidirect
196. C4×SD16×C73C22semidirect
198. C4×D8×C73C22semidirect
199. #428×C73C22semidirect
200. #416×C73C22semidirect
201. C2×#102×C73C22semidirect
202. #405×C73C22semidirect
665. D8×C73#41semidirect
917. #2946D73semidirect
919. C73#61496semidirect
963. #520C2×D73semidirect
965. #518C2×D73semidirect
1047. #442C2×D73semidirect
1052. #440C2×D73semidirect
1053. #440C2×D73semidirect
1058. C4×SD16C2×D73semidirect
1059. C4×SD16C2×D73semidirect
1069. C4×D8C2×D73semidirect
1080. #428C2×D73semidirect
1083. #416C2×D73semidirect
1087. C2×#102C2×D73semidirect
1089. #405C2×D73semidirect
1472. D8#11924028semidirect

Maximal subgroups

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

subgroupindex
#226239702
#226239532
#226229522
#226228312
#226225812
#226225642
#226225222
#226224212
#226224172
#226218552
#226217862
#226217822
#226217572
#226217512
#226217402
#226215252
#226214132
#226214052
#226206142
#226206102
#226204872
#226201342
#226201302
#226201192
#226201152
#226200282
#226200202
#226189022
#226187562
C4×D8×D732
C73×#29462
#6149673