Finite Group Databasebeta

← #33968839

Subgroups — #33968839

Order 18688.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623899C211yesmaximal, characteristic, complemented
2#22623882C211yesmaximal, characteristic, complemented
3#22622985C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622592C211yesmaximal, characteristic, complemented
6#22622571C211yesmaximal, characteristic, complemented
7#22622542C211yesmaximal, characteristic, complemented
8#22622451C211yesmaximal, characteristic, complemented
9#22622447C211yesmaximal, characteristic, complemented
10#22621861C211yesmaximal, characteristic, complemented
11#22621855C211yesmaximal, characteristic, complemented
12#22621844C211yesmaximal, characteristic, complemented
13#22621771C211yesmaximal, characteristic, complemented
14#22621762C211yesmaximal, characteristic, complemented
15#22621751C211yesmaximal, characteristic, complemented
16#22621525C211yesmaximal, characteristic, complemented
17#22621458C211yesmaximal, characteristic, complemented
18#22621450C211yesmaximal, characteristic, complemented
19#22620599C211yesmaximal, characteristic, complemented
20#22620595C211yesmaximal, characteristic, complemented
21#22620487C211yesmaximal, characteristic, complemented
22#22620212C211yesmaximal, characteristic, complemented
23#22620208C211yesmaximal, characteristic, complemented
24#22620183C211yesmaximal, characteristic, complemented
25#22620182C211yesmaximal, characteristic, complemented
26#22620089C211yesmaximal, characteristic, complemented
27#22620078C211yesmaximal, characteristic, complemented
28#22618902C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30C4×#14556610C211yesmaximal, characteristic, complemented
31C73×#2946C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556610C2211yescharacteristic
34#17989320C2211yescharacteristic
35#17989315C2211yescharacteristic, complemented
36#17989305C2211yescharacteristic
37#17989302C2211yescharacteristic
38#17989300C2211yescharacteristic
39#17989296C2211yescharacteristic, complemented
40#17989292C2211yescharacteristic
41#17989286—21no—
42#17989278C2211yescharacteristic, complemented
43#17989277—21no—
44#17989272C2211yescharacteristic, complemented
45#17989270—21no—
46#17989270—21no—
47#17989266—21no—
48#17989263—21no—
49D4×Dic146C2211yescharacteristic
50#17989246—21no—
51#17989241C2211yescharacteristic, complemented
52#17989236C2211yescharacteristic
53#17989236C2211yescharacteristic, complemented
54#17989232C2211yescharacteristic
55#17989231C2211yescharacteristic
56#17989227—21no—
57D4×C22⋊D73C2211yescharacteristic
58#17989208C2211yescharacteristic
59#17989202C2211yescharacteristic
60#17989199C2211yescharacteristic, complemented
61#17989195C2211yescharacteristic, complemented
62#17989184—21no—
63#17989179—21no—
64#17989175—21no—
65#17989170—21no—
66#17989141C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic
68#17989117—21no—
69#17989117—21no—
70#17989115C2211yescharacteristic
71C2×#14556581—21no—
72C2×#14556577—21no—
73#17989066C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic
75C4×#11924027C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988981C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic
83#17988942C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988938C2211yescharacteristic, complemented
86#17988936C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988930C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988927C2211yescharacteristic, complemented
94#17988926C2211yescharacteristic, complemented
95#17988919C2211yescharacteristic, complemented
96#17988917C2211yescharacteristic, complemented
97#17988913C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988905C2211yescharacteristic
100#17988904C2211yescharacteristic
101#17988890C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic
103#17988887C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic
105#17988881C2211yescharacteristic, complemented
106#17988877C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic
108#17988875C2211yescharacteristic, complemented
109#17988872C2211yescharacteristic, complemented
110#17988871C2211yescharacteristic, complemented
111#17988871C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic, complemented
113#17988846C2211yescharacteristic, complemented
114#17988845C2211yescharacteristic, complemented
115#17988833C2211yescharacteristic
116#17988830C2211yescharacteristic
117#17988828C2211yescharacteristic, complemented
118#17988827C2211yescharacteristic, complemented
119#17988819C2211yescharacteristic, complemented
120#17988817C2211yescharacteristic, complemented
121#17988816C2211yescharacteristic
122#17988815C2211yescharacteristic
123#17988815C2211yescharacteristic, complemented
124#17988813C2211yescharacteristic, complemented
125#17988809C2211yescharacteristic, complemented
126#17988808C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988796C2211yescharacteristic, complemented
130#17988792C2211yescharacteristic
131#17988792C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic
134#17988790C2211yescharacteristic
135#17988786C2211yescharacteristic
136#17988780C2211yescharacteristic
137#17988750C2211yescharacteristic
138#17988750C2211yescharacteristic, complemented
139#17988749C2211yescharacteristic, complemented
140#17988746C2211yescharacteristic
141#17988739C2211yescharacteristic
142#17988738C2211yescharacteristic
143#17988738C2211yescharacteristic
144#17988736C2211yescharacteristic
145#17988733C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic
147#17988729C2211yescharacteristic
148#17988729C2211yescharacteristic, complemented
149#17988715C2211yescharacteristic, complemented
150C8×Dic146C2211yescharacteristic, complemented
151#17988699C2211yescharacteristic
152#17988697C2211yescharacteristic, complemented
153#17988695C2211yescharacteristic, complemented
154#17988692C2211yescharacteristic, complemented
155#17988689C2211yescharacteristic, complemented
156#17988687C2211yescharacteristic
157#17988687C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic, complemented
159C4×Dic292C2211yescharacteristic, complemented
160#17988681C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic
162#17988678C2211yescharacteristic
163#17988678C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic, complemented
165C4×#11924015C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic
167C4×#11924016C2211yescharacteristic, complemented
168C4×#11924016C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic
172#17988660C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988649C2211yescharacteristic, complemented
178#17988648C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988628C2211yescharacteristic, complemented
181#17988624C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic
183#17988580C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic
186#17988541C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189#520×C73C2211yescharacteristic, complemented
190#518×C73C2211yescharacteristic
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic, complemented
193#440×C73C2211yescharacteristic
194#440×C73C2211yescharacteristic, complemented
195C4×SD16×C73C2211yescharacteristic
196C4×SD16×C73C2211yescharacteristic, complemented
197C4×D8×C73C2211yescharacteristic
198C4×D8×C73C2211yescharacteristic, complemented
199#428×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic
202#405×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×Dic146—21no—
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210#14556615—24no—
211#14556610—24no—
212C2×Dic292C2311yescharacteristic
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924011C2311yescharacteristic
225C2×C8×D73C2311yescharacteristic
226C2×C8×D73C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228#14556591C2311yescharacteristic
229#14556591C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589C2311yescharacteristic
234#14556589C2311yescharacteristic
235#14556587C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586D411yescharacteristic
240#14556585—21no—
241#14556585—21no—
242#14556585—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584D411yescharacteristic
248#14556583—21no—
249#14556583—21no—
250#14556583C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581D411yescharacteristic
262#14556579—21no—
263#14556579C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577D411yescharacteristic
274#14556576—21no—
275#14556576D411yescharacteristic
276#14556575—21no—
277#14556575—21no—
278#14556575—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556574—21no—
283#14556574—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573D411yescharacteristic
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556571C2311yescharacteristic
291#14556571C2311yescharacteristic
292#14556571C2311yescharacteristic
293#14556570—21no—
294#14556570—21no—
295#14556570—21no—
296#14556570—21no—
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569D411yescharacteristic
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556567C2311yescharacteristic
309#14556567C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556565—21no—
312#14556565—21no—
313#14556565—21no—
314#14556565C2311yescharacteristic
315#14556564—21no—
316#14556564—21no—
317#14556564D411yescharacteristic
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic
324#14556561—21no—
325#14556560—21no—
326#14556560—21no—
327#14556559—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146—21no—
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556550—21no—
359#14556550—21no—
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548C2311yescharacteristic
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370C2×C4⋊Dic73—21no—
371C2×#11924007—21no—
372C2×#11924007—21no—
373C2×#11924007—21no—
374C2×#11924007—21no—
375C4⋊C4×D73C2311yescharacteristic
376C2×C22⋊Dic73—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
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#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
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—
482#11924028—82no—
483#11924027—22no—
484#11924027—22no—
485#11924027—22no—
486#11924027—41no—
487#11924027—41no—
488#11924027—41no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—82no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×D292—21no—
499C2×D292C2×D411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—82no—
511C2×C22⋊D73C2×D411yescharacteristic
512C2×C22⋊D73C2×D411yescharacteristic
513D4×D73—22no—
514D4×D73—41no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2411yescharacteristic
528C2×C4×D73C2411yescharacteristic
529Dic292—22no—
530Dic292—41no—
531#11924018—41no—
532#11924017—22no—
533#11924017—41no—
534#11924016—22no—
535#11924016—22no—
536#11924016—22no—
537#11924016—41no—
538#11924016—41no—
539#11924015—41no—
540#11924013—22no—
541#11924011—22no—
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C8×D73—22no—
547C8×D73—41no—
548C8×D73—41no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73C2×D411yescharacteristic
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C24×C73—21no—
637#41×C73—22no—
638#41×C73—41no—
639C2×Q8×C73C2411yescharacteristic
640C2×D4×C73—22no—
641C2×D4×C73—21no—
642C2×D4×C73—21no—
643C2×D4×C73—41no—
644C2×D4×C73C2411yescharacteristic
645C2×D4×C73C2411yescharacteristic
646C2×D4×C73C2411yescharacteristic
647C22×C4×C73—21no—
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73C2411yescharacteristic
656SD16×C73—22no—
657SD16×C73—22no—
658D8×C73—22no—
659D8×C73#4114yescomplemented
660M16×C73—22no—
661C2×C8×C73—41no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73C2×D411yescharacteristic
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73C2×D411yescharacteristic
683C22⋊C4×C73C2×D411yescharacteristic
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—21no—
692C23×C73—42no—
693C23×C73—81no—
694C23×C73—81no—
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—42no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73C22×D411yescharacteristic
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704D4×C73—21no—
705D4×C73—21no—
706D4×C73—21no—
707D4×C73—21no—
708D4×C73—42no—
709D4×C73—42no—
710D4×C73C2×#4112yes—
711D4×C73C2×#4112yes—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—42no—
720C2×C4×C73—81no—
721C2×C4×C73—81no—
722C2×C4×C73—81no—
723C2×C4×C73—81no—
724C2×C4×C73—81no—
725C2×C4×C73—81no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C2511yescharacteristic
733C22⋊D73—22no—
734C22⋊D73—41no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—42no—
752C2×Dic73—42no—
753C2×Dic73—42no—
754C2×Dic73—42no—
755C2×Dic73—42no—
756C2×Dic73—81no—
757C2×Dic73—81no—
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764D292—21no—
765D292—21no—
766D292—41no—
767D292—81no—
768C4×D73—21no—
769C4×D73—21no—
770C4×D73—21no—
771C4×D73—21no—
772C4×D73—22no—
773C4×D73—41no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777Dic146—22no—
778Dic146—21no—
779Dic146—21no—
780Dic146—21no—
781Dic146—21no—
782Dic146—21no—
783Dic146—21no—
784Dic146—42no—
785Dic146—81no—
786Dic146—81no—
787Dic146—81no—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73C2×#4112yes—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831—21no—
796C22×C73—21no—
797C22×C73—22no—
798C22×C73—22no—
799C22×C73—21no—
800C22×C73—21no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—162no—
809C22×C73C23×D411yescharacteristic
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—21no—
813C2×D73—21no—
814C2×D73—21no—
815C2×D73—21no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73C22×#4111yescharacteristic
831C4×C73#58511yescharacteristic
832Dic73—21no—
833Dic73—21no—
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—41no—
838Dic73—41no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73#57712yes—
845#61493—731nomaximal, Sylow
846C2×C73—42no—
847C2×C73—41no—
848C2×C73—42no—
849C2×C73—81no—
850C2×C73D4×#4111yescharacteristic
851C2×C73C2×#57711yescharacteristic
852C2×C73#358411yescharacteristic
853D73—41no—
854D73—41no—
855D73—81no—
856#3515—731no—
857#3514—731no—
858#3400—731no—
859#3384—731no—
860#3361—731no—
861#3359—731no—
862#3356—731no—
863#3348—731no—
864#3348—731no—
865#3303—731no—
866#3303—731no—
867#3302—731no—
868#3296—731no—
869#3296—731no—
870#3295—731no—
871#3272—731no—
872#3267—731no—
873#3267—731no—
874#3178—731no—
875#3178—731no—
876#3167—731no—
877#3125—731no—
878#3125—731no—
879#3123—731no—
880#3123—731no—
881#3116—731no—
882#3115—731no—
883#2966—731no—
884#2946—731no—
885#2946D7311yescharacteristic, complemented
886C4×#135—731no—
887C73#6149311yescharacteristic, complemented, Sylow
888C2×AGL(1,ℤ/8)—731no—
889C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
890C2×#135—731no—
891#559—731no—
892#557—731no—
893#556—731no—
894#555—731no—
895#555—731no—
896#554—731no—
897#554—731no—
898#553—1461no—
899#552—731no—
900#552—731no—
901#552—1461no—
902#552—1461no—
903#552—1461no—
904#551—1461no—
905#551—1461no—
906D4×Q8—731no—
907#548—1461no—
908#547—731no—
909#547—731no—
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#541—731no—
918#541—731no—
919#539—1461no—
920#539—1461no—
921#538—1461no—
922#538—1461no—
923#533—731no—
924#532—731no—
925#529—731no—
926#529—1461no—
927#529—1461no—
928C2×#125—1461no—
929C2×#124—1461no—
930#520—731no—
931#520C2×D7311yescharacteristic, complemented
932#518—731no—
933#518C2×D7311yescharacteristic
934C4×#41—731no—
935C4×#41—731no—
936#501—731no—
937#501—731no—
938#498—731no—
939#497—731no—
940#497—731no—
941#492—731no—
942#488—731no—
943#488—731no—
944#487—731no—
945#487—731no—
946#487—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#485—731no—
951#485—731no—
952#485—731no—
953#485—731no—
954#483—731no—
955#483—731no—
956#482—731no—
957#482—731no—
958#481—731no—
959#481—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#477—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#475—731no—
969#475—731no—
970#475—731no—
971#474—731no—
972#470—731no—
973#470—731no—
974#468—731no—
975#468—731no—
976#467—731no—
977#467—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#465—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#462—731no—
989#461—731no—
990#461—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#460—731no—
995#459—731no—
996#452—731no—
997#452—731no—
998#452—731no—
999#452—731no—
1000#450—731no—
1001#450—731no—
1002#450—731no—
1003#450—731no—
1004#449—731no—
1005#449—731no—
1006#449—731no—
1007#449—731no—
1008#446—731no—
1009C8×Q8—731no—
1010#442—731no—
1011#442—731no—
1012#442C2×D7311yescharacteristic
1013#442C2×D7311yescharacteristic, complemented
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440C2×D7311yescharacteristic
1021#440C2×D7311yescharacteristic, complemented
1022C4×Q16—731no—
1023C4×Q16—731no—
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16C2×D7311yescharacteristic
1033C4×SD16C2×D7311yescharacteristic, complemented
1034C4×D8—731no—
1035C4×D8—731no—
1036C4×D8C2×D7311yescharacteristic
1037C4×D8C2×D7311yescharacteristic, complemented
1038#436—731no—
1039#435—731no—
1040#435—731no—
1041C8×D4—731no—
1042C8×D4—731no—
1043C8×D4—731no—
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428—731no—
1048#428C2×D7311yescharacteristic, complemented
1049#427—731no—
1050#416—731no—
1051#416—731no—
1052#416—731no—
1053#416C2×D7311yescharacteristic, complemented
1054C2×#102—731no—
1055C2×#102C2×D7311yescharacteristic
1056#405—731no—
1057#405C2×D7311yescharacteristic, complemented
1058C2×C4×C8—731no—
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—731no—
1062C2×#41—1461no—
1063C2×#41C22×D7311yescharacteristic
1064C22×Q8—1461no—
1065C22×D4—731no—
1066C22×D4—1461no—
1067C22×D4C22×D7311yescharacteristic
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—1464no—
1070#135—1464no—
1071C2×Q16—731no—
1072C2×Q16—731no—
1073C2×Q16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8C22×D7311yescharacteristic
1086C2×D8C22×D7311yescharacteristic
1087C2×M16—731no—
1088C2×M16C22×D7311yescharacteristic
1089C22×C8—731no—
1090C22×C8—731no—
1091C22×C8—731no—
1092C22×C8C22×D7311yescharacteristic
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—731no—
1097C4⋊Q8—731no—
1098C4⋊Q8—731no—
1099C4⋊Q8—731no—
1100#127—731no—
1101#126—731no—
1102#126—731no—
1103#126—1461no—
1104#126—1461no—
1105#126—1461no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#125—731no—
1114#125—731no—
1115#125—731no—
1116#125—1461no—
1117#125—1461no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125—1461no—
1127#124—731no—
1128#124—731no—
1129#124—731no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124—1461no—
1137#124—1461no—
1138#124—1461no—
1139#123—731no—
1140#123—731no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
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×D4C22×D7311yescharacteristic
1230C4×D4C22×D7311yescharacteristic
1231C4×D4C22×D7311yescharacteristic
1232C4×D4C22×D7311yescharacteristic
1233C4×D4C22×D7311yescharacteristic
1234C4×D4C22×D7311yescharacteristic
1235#117—21no—
1236#117—731no—
1237#117—731no—
1238#117—731no—
1239#117—731no—
1240#117—1461no—
1241#117—1461no—
1242#117—1461no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117C22×D7311yescharacteristic
1249#117C22×D7311yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—1461no—
1253C2×C4⋊C4—1461no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4C22×D7311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C42—731no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107C22×D7311yescharacteristic
1272#107C22×D7311yescharacteristic
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102C22×D7311yescharacteristic
1316#102C22×D7311yescharacteristic
1317#102C22×D7311yescharacteristic
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327#97—731no—
1328#97—731no—
1329#97C22×D7311yescharacteristic
1330#97C22×D7311yescharacteristic
1331C4×C8—731no—
1332C4×C8—731no—
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8C22×D7311yescharacteristic
1336C4×C8C22×D7311yescharacteristic
1337C24—21no—
1338C24—1461no—
1339#41—22no—
1340#41—41no—
1341#41—2921no—
1342#41—2921no—
1343#41—2921no—
1344#41—5842no—
1345#41—1462no—
1346#41—1462no—
1347#41—1462no—
1348C2×Q8—5842no—
1349C2×Q8—731no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—731no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8—1461no—
1356C2×Q8—1461no—
1357C2×Q8C23×D7311yescharacteristic
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—2921no—
1363C2×D4—5842no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—1461no—
1369C2×D4—1461no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1462no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4C23×D7311yescharacteristic
1380C2×D4C23×D7311yescharacteristic
1381C2×D4C23×D7311yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—731no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—731no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4C23×D7311yescharacteristic
1405Q16—2921no—
1406Q16—2921no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—22no—
1410SD16—2921no—
1411SD16—2921no—
1412SD16—2921no—
1413SD16—2921no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—22no—
1419D8—1462no—
1420D8#1192402814yescomplemented
1421M16—22no—
1422M16—1462no—
1423C2×C8—41no—
1424C2×C8—2921no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—731no—
1439C4⋊C4—731no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4D4×D7311yescharacteristic
1480C4⋊C4D4×D7311yescharacteristic
1481C4⋊C4C23×D7311yescharacteristic
1482C4⋊C4C23×D7311yescharacteristic
1483C4⋊C4C23×D7311yescharacteristic
1484C4⋊C4C23×D7311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
1497C22⋊C4—731no—
1498C22⋊C4—731no—
1499C22⋊C4—731no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4D4×D7311yescharacteristic
1526C22⋊C4D4×D7311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42C23×D7311yescharacteristic
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—81no—
1550C23—81no—
1551C23—2922no—
1552C23—5841no—
1553C23—5841no—
1554C23—731no—
1555C23—731no—
1556C23—1461no—
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—2922no—
1561Q8—5841no—
1562Q8—5841no—
1563Q8—5841no—
1564Q8—1462no—
1565Q8—1461no—
1566Q8—1461no—
1567Q8—1461no—
1568Q8—1461no—
1569Q8—1461no—
1570Q8—1461no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—42no—
1576D4—42no—
1577D4—2921no—
1578D4—2922no—
1579D4—2922no—
1580D4—2922no—
1581D4—2922no—
1582D4—2922no—
1583D4—2921no—
1584D4—5841no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—5841no—
1589D4—1462no—
1590D4—1461no—
1591D4—1461no—
1592D4C2×#1192402812yes—
1593D4C2×#1192402812yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—2921no—
1610C2×C4—2922no—
1611C2×C4—2922no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—2922no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—731no—
1621C2×C4—731no—
1622C2×C4—731no—
1623C2×C4—731no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—1462no—
1627C2×C4—1461no—
1628C2×C4—1461no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4C2×D4×D7311yescharacteristic
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1461no—
1648C8—1461no—
1649C8—1461no—
1650C8—1461no—
1651C8C2×#1192402812yes—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—22no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—162no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—11682no—
1669C22—1461no—
1670C22—1461no—
1671C22—1461no—
1672C22—1461no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—2921no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—2921no—
1693C4—732no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C22×#1192402811yescharacteristic
1700C4#1798942311yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—42no—
1704C2—81no—
1705C2—2921no—
1706C2—2921no—
1707C2—5841no—
1708C2D4×#1192402811yescharacteristic
1709C2#577×D7311yescharacteristic
1710C2#2262469911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2946C2
socleC22×C73C23×D4
hypercenter#2946D73
hypocenterC73#61493
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. #22623899C2semidirect
2. #22623882C2semidirect
3. #22622985C2semidirect
4. #22622831C2semidirect
5. #22622592C2semidirect
6. #22622571C2semidirect
7. #22622542C2semidirect
8. #22622451C2semidirect
9. #22622447C2semidirect
10. #22621861C2semidirect
11. #22621855C2semidirect
12. #22621844C2semidirect
13. #22621771C2semidirect
14. #22621762C2semidirect
15. #22621751C2semidirect
16. #22621525C2semidirect
17. #22621458C2semidirect
18. #22621450C2semidirect
19. #22620599C2semidirect
20. #22620595C2semidirect
21. #22620487C2semidirect
22. #22620212C2semidirect
23. #22620208C2semidirect
24. #22620183C2semidirect
25. #22620182C2semidirect
26. #22620089C2semidirect
27. #22620078C2semidirect
28. #22618902C2semidirect
29. #22618756C2semidirect
30. C4×#14556610C2semidirect
31. C73×#2946C2semidirect
35. #17989315C22semidirect
39. #17989296C22semidirect
42. #17989278C22semidirect
44. #17989272C22semidirect
51. #17989241C22semidirect
53. #17989236C22semidirect
60. #17989199C22semidirect
61. #17989195C22semidirect
66. #17989141C22semidirect
73. #17989066C22semidirect
76. C4×#11924027C22semidirect
77. #17988996C22semidirect
78. #17988994C22semidirect
79. #17988984C22semidirect
80. #17988981C22semidirect
81. #17988978C22semidirect
83. #17988942C22semidirect
84. #17988940C22semidirect
85. #17988938C22semidirect
86. #17988936C22semidirect
87. #17988936C22semidirect
89. #17988930C22semidirect
90. #17988930C22semidirect
91. #17988928C22semidirect
92. #17988928C22semidirect
93. #17988927C22semidirect
94. #17988926C22semidirect
95. #17988919C22semidirect
96. #17988917C22semidirect
97. #17988913C22semidirect
98. #17988909C22semidirect
101. #17988890C22semidirect
103. #17988887C22semidirect
105. #17988881C22semidirect
106. #17988877C22semidirect
108. #17988875C22semidirect
109. #17988872C22semidirect
110. #17988871C22semidirect
111. #17988871C22semidirect
112. #17988865C22semidirect
113. #17988846C22semidirect
114. #17988845C22semidirect
117. #17988828C22semidirect
118. #17988827C22semidirect
119. #17988819C22semidirect
120. #17988817C22semidirect
123. #17988815C22semidirect
124. #17988813C22semidirect
125. #17988809C22semidirect
126. #17988808C22semidirect
127. #17988802C22semidirect
128. #17988800C22semidirect
129. #17988796C22semidirect
131. #17988792C22semidirect
132. #17988791C22semidirect
138. #17988750C22semidirect
139. #17988749C22semidirect
145. #17988733C22semidirect
148. #17988729C22semidirect
149. #17988715C22semidirect
150. C8×Dic146C22semidirect
152. #17988697C22semidirect
153. #17988695C22semidirect
154. #17988692C22semidirect
155. #17988689C22semidirect
157. #17988687C22semidirect
158. #17988686C22semidirect
159. C4×Dic292C22semidirect
160. #17988681C22semidirect
163. #17988678C22semidirect
164. C4×#11924017C22semidirect
165. C4×#11924015C22semidirect
167. C4×#11924016C22semidirect
168. C4×#11924016C22semidirect
170. #17988667C22semidirect
172. #17988660C22semidirect
173. #17988656C22semidirect
174. C8×D292C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988649C22semidirect
178. #17988648C22semidirect
179. #17988642C22semidirect
180. #17988628C22semidirect
181. #17988624C22semidirect
183. #17988580C22semidirect
184. #17988580C22semidirect
186. #17988541C22semidirect
187. C4×C8×D73C22semidirect
189. #520×C73C22semidirect
192. #442×C73C22semidirect
194. #440×C73C22semidirect
196. C4×SD16×C73C22semidirect
198. C4×D8×C73C22semidirect
199. #428×C73C22semidirect
200. #416×C73C22semidirect
202. #405×C73C22semidirect
659. D8×C73#41semidirect
885. #2946D73semidirect
887. C73#61493semidirect
931. #520C2×D73semidirect
1013. #442C2×D73semidirect
1021. #440C2×D73semidirect
1033. C4×SD16C2×D73semidirect
1037. C4×D8C2×D73semidirect
1048. #428C2×D73semidirect
1053. #416C2×D73semidirect
1057. #405C2×D73semidirect
1420. D8#11924028semidirect

Maximal subgroups

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

subgroupindex
#226238992
#226238822
#226229852
#226228312
#226225922
#226225712
#226225422
#226224512
#226224472
#226218612
#226218552
#226218442
#226217712
#226217622
#226217512
#226215252
#226214582
#226214502
#226205992
#226205952
#226204872
#226202122
#226202082
#226201832
#226201822
#226200892
#226200782
#226189022
#226187562
C4×#145566102
C73×#29462
#6149373