Finite Group Databasebeta

← #33978587

Subgroups — #33978587

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623886C211yesmaximal, characteristic, complemented
2#22623546C211yesmaximal, characteristic, complemented
3#22622987C211yesmaximal, characteristic, complemented
4#22622965C211yesmaximal, characteristic, complemented
5#22622718C211yesmaximal, characteristic, complemented
6#22622644C211yesmaximal, characteristic, complemented
7#22622210C211yesmaximal, characteristic, complemented
8#22622158C211yesmaximal, characteristic, complemented
9#22622004C211yesmaximal, characteristic, complemented
10#22621998C211yesmaximal, characteristic, complemented
11#22621974C211yesmaximal, characteristic, complemented
12#22621968C211yesmaximal, characteristic, complemented
13#22621571C211yesmaximal, characteristic, complemented
14#22621525C211yesmaximal, characteristic, complemented
15#22621492C211yesmaximal, characteristic, complemented
16#22621480C211yesmaximal, characteristic, complemented
17#22621451C211yesmaximal, characteristic, complemented
18#22621450C211yesmaximal, characteristic, complemented
19#22621305C211yesmaximal, characteristic, complemented
20#22621301C211yesmaximal, characteristic, complemented
21#22621265C211yesmaximal, characteristic, complemented
22#22620934C211yesmaximal, characteristic, complemented
23#22620932C211yesmaximal, characteristic, complemented
24#22620886C211yesmaximal, characteristic, complemented
25#22620040C211yesmaximal, characteristic, complemented
26#22620037C211yesmaximal, characteristic, complemented
27#22619946C211yesmaximal, characteristic, complemented
28#22619420C211yesmaximal, characteristic, complemented
29#22619383C211yesmaximal, characteristic, complemented
30#22619045C211yesmaximal, characteristic, complemented
31C73×#3040C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36#17989319C2211yescharacteristic
37#17989315C2211yescharacteristic, complemented
38#17989310C2211yescharacteristic, complemented
39#17989306C2211yescharacteristic
40#17989305C2211yescharacteristic
41#17989305C2211yescharacteristic, complemented
42#17989299—21no—
43#17989277—21no—
44#17989270—21no—
45#17989270—21no—
46#17989267—21no—
47#17989263—21no—
48D4×Dic146C2211yescharacteristic, complemented
49Q8×C22⋊D73C2211yescharacteristic
50#17989248C2211yescharacteristic
51#17989246—21no—
52#17989245C2211yescharacteristic
53#17989241C2211yescharacteristic, complemented
54#17989236C2211yescharacteristic
55#17989236C2211yescharacteristic, complemented
56#17989231C2211yescharacteristic
57#17989230C2211yescharacteristic
58#17989227—21no—
59D4×C22⋊D73C2211yescharacteristic
60#17989201—21no—
61#17989175—21no—
62#17989171—21no—
63#17989144C2211yescharacteristic, complemented
64#17989141C2211yescharacteristic, complemented
65#17989141C2211yescharacteristic, complemented
66#17989136C2211yescharacteristic
67#17989121—21no—
68#17989121C2211yescharacteristic
69#17989117—21no—
70#17989117—21no—
71#17989116C2211yescharacteristic
72#17989116C2211yescharacteristic
73#124×D73C2211yescharacteristic
74#17989060—21no—
75C4×#11924028C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C4×#11924027C2211yescharacteristic, complemented
78C2×C4×Dic146—21no—
79#17988982C2211yescharacteristic
80#17988982C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic
83#17988965C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic
85#17988948C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic
87#17988946C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic
89#17988936C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic
91#17988928C2211yescharacteristic, complemented
92#17988927C2211yescharacteristic, complemented
93#17988926C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic
95#17988910C2211yescharacteristic
96#17988909C2211yescharacteristic
97#17988895C2211yescharacteristic, complemented
98#17988895C2211yescharacteristic, complemented
99#17988894C2211yescharacteristic, complemented
100#17988887C2211yescharacteristic, complemented
101#17988883C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988878C2211yescharacteristic, complemented
104#17988875C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic
107#17988845C2211yescharacteristic, complemented
108#17988845C2211yescharacteristic, complemented
109#17988844C2211yescharacteristic, complemented
110#17988842C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic
112#17988833C2211yescharacteristic
113#17988832C2211yescharacteristic
114#17988830C2211yescharacteristic
115#17988827C2211yescharacteristic, complemented
116#17988825C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic
118#17988813C2211yescharacteristic
119#17988812C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988810C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic
124#17988806C2211yescharacteristic
125#17988806C2211yescharacteristic
126#17988806C2211yescharacteristic, complemented
127#17988806C2211yescharacteristic, complemented
128#17988804C2211yescharacteristic, complemented
129#17988802C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic
131#17988798C2211yescharacteristic, complemented
132#17988796C2211yescharacteristic, complemented
133#17988795C2211yescharacteristic, complemented
134#17988795C2211yescharacteristic, complemented
135#17988793C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic
137#17988790C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic, complemented
139#17988786C2211yescharacteristic
140#17988780C2211yescharacteristic
141#17988752C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988749C2211yescharacteristic, complemented
144#17988748C2211yescharacteristic, complemented
145#17988746C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988743C2211yescharacteristic, complemented
150#17988743C2211yescharacteristic, complemented
151#17988741C2211yescharacteristic, complemented
152#17988739C2211yescharacteristic
153#17988738C2211yescharacteristic
154#17988738C2211yescharacteristic
155#17988736C2211yescharacteristic
156#17988732C2211yescharacteristic
157#17988729C2211yescharacteristic
158#17988729C2211yescharacteristic
159#17988716C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167#17988685C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988679C2211yescharacteristic, complemented
170#17988678C2211yescharacteristic
171SD16×Dic73C2211yescharacteristic, complemented
172D8×Dic73C2211yescharacteristic
173#17988663C2211yescharacteristic
174#17988663C2211yescharacteristic
175#17988657C2211yescharacteristic, complemented
176#17988657C2211yescharacteristic, complemented
177#17988656C2211yescharacteristic, complemented
178#17988656C2211yescharacteristic, complemented
179#17988644C2211yescharacteristic, complemented
180#17988643C2211yescharacteristic, complemented
181#17988639C2211yescharacteristic, complemented
182#17988609C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988594C2211yescharacteristic, complemented
185#17988590C2211yescharacteristic
186#17988582C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
190C2×#124×C73C2211yescharacteristic
191C4×#41×C73C2211yescharacteristic, complemented
192#464×C73C2211yescharacteristic
193#464×C73C2211yescharacteristic
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic
197#463×C73C2211yescharacteristic
198#463×C73C2211yescharacteristic, complemented
199#463×C73C2211yescharacteristic, complemented
200#423×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202#418×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146—21no—
209C2×Q8×D73C2311yescharacteristic
210C22×C22⋊D73—21no—
211C2×D4×D73C2311yescharacteristic
212#14556620—42no—
213#14556615—42no—
214#14556612—42no—
215#14556610—42no—
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556589—21no—
241#14556589C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556585—21no—
248#14556585—21no—
249#14556585—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556583—21no—
257#14556583—21no—
258#14556583C2311yescharacteristic
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556580—21no—
264#14556580C2311yescharacteristic
265#14556579—21no—
266#14556579C2311yescharacteristic
267#14556578C2311yescharacteristic
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556575—21no—
275#14556575—21no—
276#14556575—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556571C2311yescharacteristic
288#14556571C2311yescharacteristic
289#14556570—21no—
290#14556570—21no—
291#14556570—21no—
292#14556570C2311yescharacteristic
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556565—21no—
308#14556565—21no—
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556561—21no—
321#14556560—21no—
322#14556560—21no—
323#14556559—21no—
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146—21no—
331C4×Dic146—21no—
332C4×Dic146—21no—
333C4×Dic146D411yescharacteristic
334C4×Dic146C2311yescharacteristic
335C4×Dic146C2311yescharacteristic
336C4×Dic146C2311yescharacteristic
337C4×Dic146C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340C4×D292D411yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73D411yescharacteristic
353C4×C22⋊D73D411yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355C4×C22⋊D73C2311yescharacteristic
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556550—21no—
365#14556550D411yescharacteristic
366#14556549C2311yescharacteristic
367#14556549C2311yescharacteristic
368#14556548—21no—
369#14556548—21no—
370#14556548—21no—
371#14556548D411yescharacteristic
372#14556548D411yescharacteristic
373#14556547—21no—
374#14556547—21no—
375#14556547—21no—
376#14556547—21no—
377#14556547—21no—
378C2×C4⋊Dic73—21no—
379C2×#11924007—21no—
380C2×#11924007—21no—
381C2×C22⋊Dic73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73—21no—
386C2×C4×Dic73—21no—
387C42×D73C2311yescharacteristic
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428C22⋊#10596831C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×Q8×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442#137×C73—42no—
443AGL(1,ℤ/8)×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C2×M16×C73C2311yescharacteristic
454#124×C73—21no—
455#124×C73—21no—
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466#117×C73—21no—
467#117×C73C2311yescharacteristic
468C2×C22⋊C4×C73—21no—
469C2×C22⋊C4×C73—21no—
470C2×C42×C73—21no—
471C2×C42×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—42no—
488#11924027—22no—
489#11924027—22no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—44no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503Q8×D73—41no—
504Q8×D73—41no—
505C2×D292—21no—
506C2×D292C2×D411yescharacteristic
507C2×D292C2411yescharacteristic
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—44no—
518C2×C22⋊D73C2×D411yescharacteristic
519C2×C22⋊D73C2×D411yescharacteristic
520D4×D73—41no—
521D4×D73—41no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2411yescharacteristic
537C2×C4×D73C2411yescharacteristic
538Dic292—41no—
539Dic292—41no—
540#11924018—41no—
541#11924018—41no—
542#11924018—41no—
543#11924018—41no—
544#11924018—41no—
545#11924017—41no—
546#11924017—41no—
547#11924016—22no—
548#11924016—41no—
549#11924016—41no—
550#11924016—41no—
551#11924016—41no—
552#11924015—41no—
553#11924013—22no—
554#11924011—41no—
555#11924011—41no—
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C8×D73—41no—
561C8×D73—41no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C24×C73—21no—
648#41×C73—22no—
649#41×C73—41no—
650C2×Q8×C73—21no—
651C2×Q8×C73—41no—
652C2×Q8×C73—41no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—41no—
659C2×D4×C73—41no—
660C2×D4×C73C2411yescharacteristic
661C2×D4×C73C2411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73C2×D411yescharacteristic
668C22×C4×C73C2×D411yescharacteristic
669C22×C4×C73C2411yescharacteristic
670Q16×C73—41no—
671Q16×C73—41no—
672SD16×C73—22no—
673SD16×C73—22no—
674SD16×C73—41no—
675SD16×C73—41no—
676D8×C73—22no—
677D8×C73—22no—
678M16×C73—41no—
679M16×C73—41no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—42no—
710C23×C73—81no—
711C23×C73—81no—
712C23×C73C22×D411yescharacteristic
713C22×D73—21no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73C22×D411yescharacteristic
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—81no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—42no—
732D4×C73—81no—
733D4×C73H(5,𝔽2)12yes—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—41no—
742C2×C4×C73—41no—
743C2×C4×C73—42no—
744C2×C4×C73—42no—
745C2×C4×C73—42no—
746C2×C4×C73—81no—
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C2511yescharacteristic
753C22⋊D73—22no—
754C22⋊D73—41no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73—42no—
774C2×Dic73—42no—
775C2×Dic73—42no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784D292—21no—
785D292—21no—
786D292—41no—
787D292—81no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—22no—
793C4×D73—41no—
794C4×D73—41no—
795C4×D73—41no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—22no—
800Dic146—21no—
801Dic146—21no—
802Dic146—21no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—42no—
807Dic146—42no—
808Dic146—42no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—22no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—162no—
831C22×C73C23×D411yescharacteristic
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—21no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—162no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73C2×H(5,𝔽2)11yescharacteristic
853C4×C73#58511yescharacteristic
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73#57512yes—
867#61973—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—42no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73#348811yescharacteristic
873C2×C73C2×#57511yescharacteristic
874C2×C73#358611yescharacteristic
875D73—41no—
876D73—41no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3400—731no—
881#3398—731no—
882#3373—731no—
883#3367—731no—
884#3328—731no—
885#3324—731no—
886#3313—731no—
887#3313—731no—
888#3311—731no—
889#3311—731no—
890#3276—731no—
891#3272—731no—
892#3269—731no—
893#3269—731no—
894#3267—731no—
895#3267—731no—
896#3252—731no—
897#3252—731no—
898#3248—731no—
899#3215—731no—
900#3215—731no—
901#3210—731no—
902#3111—731no—
903#3111—731no—
904#3102—731no—
905#3040—731no—
906#3040D7311yescharacteristic, complemented
907#3035—731no—
908#2989—731no—
909C73#6197311yescharacteristic, complemented, Sylow
910C2×#137—731no—
911C2×#137C2×D7311yescharacteristic, complemented
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
914C2×#135—731no—
915C2×#135—731no—
916#559—731no—
917#557—731no—
918#556—731no—
919#556—731no—
920#556—731no—
921#556—731no—
922#555—1461no—
923#552—1461no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—731no—
932#548—1461no—
933#547—731no—
934#547—731no—
935#547—731no—
936#546—731no—
937#546—731no—
938#546—1461no—
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—731no—
945#533—731no—
946#532—731no—
947#529—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#529—1461no—
953C2×#124—731no—
954C2×#124C2×D7311yescharacteristic
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—731no—
959C4×#41C2×D7311yescharacteristic, complemented
960C2×C4×Q8—1461no—
961#497—731no—
962#497—731no—
963#497—731no—
964#497—731no—
965#494—731no—
966#492—731no—
967#489—731no—
968#489—731no—
969#489—731no—
970#489—731no—
971#487—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#479—731no—
980#479—731no—
981#479—731no—
982#478—731no—
983#477—731no—
984#477—731no—
985#476—731no—
986#476—731no—
987#475—731no—
988#474—731no—
989#470—731no—
990#470—731no—
991#470—731no—
992#470—731no—
993#468—731no—
994#468—731no—
995#468—731no—
996#468—731no—
997#467—731no—
998#467—731no—
999#465—731no—
1000#465—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464C2×D7311yescharacteristic
1011#464C2×D7311yescharacteristic
1012#464C2×D7311yescharacteristic, complemented
1013#464C2×D7311yescharacteristic, complemented
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#463C2×D7311yescharacteristic
1018#463C2×D7311yescharacteristic
1019#463C2×D7311yescharacteristic, complemented
1020#463C2×D7311yescharacteristic, complemented
1021#462—731no—
1022#462—731no—
1023#462—731no—
1024#462—731no—
1025#461—731no—
1026#461—731no—
1027#461—731no—
1028#461—731no—
1029#460—731no—
1030#459—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#452—731no—
1035#452—731no—
1036#452—731no—
1037#452—731no—
1038#451—731no—
1039#451—731no—
1040#451—731no—
1041#451—731no—
1042#450—731no—
1043#450—731no—
1044#450—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#446—731no—
1050#446—731no—
1051#442—731no—
1052#442—731no—
1053#441—731no—
1054#441—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059C4×Q16—731no—
1060C4×SD16—731no—
1061C4×SD16—731no—
1062C4×D8—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435—731no—
1069#432—731no—
1070#432—731no—
1071#431—731no—
1072#423—731no—
1073#423C2×D7311yescharacteristic, complemented
1074C2×C4⋊C8—731no—
1075#419—731no—
1076#419C2×D7311yescharacteristic, complemented
1077#418—731no—
1078#418C2×D7311yescharacteristic
1079#416—731no—
1080#416—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41C22×D7311yescharacteristic
1087C22×Q8—731no—
1088C22×Q8—1461no—
1089C22×Q8C22×D7311yescharacteristic
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4C22×D7311yescharacteristic
1093#137—42no—
1094#137—2922no—
1095AGL(1,ℤ/8)—42no—
1096AGL(1,ℤ/8)—2922no—
1097#135—2922no—
1098#135—2922no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16—731no—
1105C2×Q16—731no—
1106C2×Q16C22×D7311yescharacteristic
1107C2×Q16C22×D7311yescharacteristic
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16C22×D7311yescharacteristic
1117C2×SD16C22×D7311yescharacteristic
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8C22×D7311yescharacteristic
1122C2×D8C22×D7311yescharacteristic
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16C22×D7311yescharacteristic
1126C2×M16C22×D7311yescharacteristic
1127C22×C8—731no—
1128C22×C8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8—731no—
1136C4⋊Q8—1461no—
1137#127—731no—
1138#126—1461no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#125—731no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#125—1461no—
1156#124—21no—
1157#124—21no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—1461no—
1162#124—1461no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124C22×D7311yescharacteristic
1170#124C22×D7311yescharacteristic
1171#124C22×D7311yescharacteristic
1172#124C22×D7311yescharacteristic
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—731no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—731no—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206#121—731no—
1207#121—731no—
1208#121—731no—
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#120—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—1461no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—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
1269#117—21no—
1270#117—731no—
1271#117—731no—
1272#117—731no—
1273#117—731no—
1274#117—731no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117C22×D7311yescharacteristic
1285C2×C4⋊C4—1461no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—21no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42C22×D7311yescharacteristic
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8C22×D7311yescharacteristic
1315C4⋊C8C22×D7311yescharacteristic
1316C4⋊C8C22×D7311yescharacteristic
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356#97—731no—
1357#97—731no—
1358#97—731no—
1359#97—731no—
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—21no—
1363C24—1461no—
1364#41—22no—
1365#41—41no—
1366#41—2922no—
1367#41—2921no—
1368#41—2921no—
1369#41—2921no—
1370#41—2921no—
1371#41—2921no—
1372#41—2921no—
1373#41—1462no—
1374#41—1462no—
1375C2×Q8—21no—
1376C2×Q8—41no—
1377C2×Q8—41no—
1378C2×Q8—2924no—
1379C2×Q8—2921no—
1380C2×Q8—2921no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—731no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8—1461no—
1389C2×Q8C23×D7311yescharacteristic
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—2924no—
1397C2×D4—2921no—
1398C2×D4—2921no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—1461no—
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×D4C23×D7311yescharacteristic
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4D4×D7311yescharacteristic
1437C22×C4D4×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—41no—
1440Q16—41no—
1441Q16—2921no—
1442Q16—2921no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—2921no—
1446Q16—2921no—
1447Q16—2921no—
1448SD16—22no—
1449SD16—22no—
1450SD16—41no—
1451SD16—41no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—2921no—
1458SD16—2921no—
1459SD16—1462no—
1460D8—22no—
1461D8—22no—
1462D8—1462no—
1463M16—41no—
1464M16—41no—
1465M16—2921no—
1466M16—2921no—
1467C2×C8—2921no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
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—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42D4×D7311yescharacteristic
1581C42D4×D7311yescharacteristic
1582C42C23×D7311yescharacteristic
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—42no—
1588C23—81no—
1589C23—81no—
1590C23—2922no—
1591C23—5841no—
1592C23—5841no—
1593C23—731no—
1594C23—731no—
1595C23—1461no—
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—81no—
1604Q8—2922no—
1605Q8—2922no—
1606Q8—2922no—
1607Q8—5841no—
1608Q8—1462no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—42no—
1621D4—81no—
1622D4—2921no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—2922no—
1628D4—2921no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—1462no—
1635D4—1461no—
1636D4—1461no—
1637D4#1455663612yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—2921no—
1652C2×C4—2921no—
1653C2×C4—2921no—
1654C2×C4—2922no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—1462no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—22no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—162no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—11682no—
1713C22—1461no—
1714C22—1461no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—2921no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—732no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#1455663611yescharacteristic
1744C4#1798942311yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—81no—
1749C2—2921no—
1750C2—2921no—
1751C2—5841no—
1752C2#2262359611yescharacteristic
1753C2#575×D7311yescharacteristic
1754C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3040C2
socleC22×C73C23×D4
hypercenter#3040D73
hypocenterC73#61973
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3040

Complements

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

NH ≅ G/Ntype
1. #22623886C2semidirect
2. #22623546C2semidirect
3. #22622987C2semidirect
4. #22622965C2semidirect
5. #22622718C2semidirect
6. #22622644C2semidirect
7. #22622210C2semidirect
8. #22622158C2semidirect
9. #22622004C2semidirect
10. #22621998C2semidirect
11. #22621974C2semidirect
12. #22621968C2semidirect
13. #22621571C2semidirect
14. #22621525C2semidirect
15. #22621492C2semidirect
16. #22621480C2semidirect
17. #22621451C2semidirect
18. #22621450C2semidirect
19. #22621305C2semidirect
20. #22621301C2semidirect
21. #22621265C2semidirect
22. #22620934C2semidirect
23. #22620932C2semidirect
24. #22620886C2semidirect
25. #22620040C2semidirect
26. #22620037C2semidirect
27. #22619946C2semidirect
28. #22619420C2semidirect
29. #22619383C2semidirect
30. #22619045C2semidirect
31. C73×#3040C2semidirect
32. C2×#14556620C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556610C22semidirect
37. #17989315C22semidirect
38. #17989310C22semidirect
41. #17989305C22semidirect
48. D4×Dic146C22semidirect
53. #17989241C22semidirect
55. #17989236C22semidirect
63. #17989144C22semidirect
64. #17989141C22semidirect
65. #17989141C22semidirect
76. C4×#11924027C22semidirect
77. C4×#11924027C22semidirect
80. #17988982C22semidirect
81. #17988980C22semidirect
83. #17988965C22semidirect
85. #17988948C22semidirect
87. #17988946C22semidirect
89. #17988936C22semidirect
91. #17988928C22semidirect
92. #17988927C22semidirect
93. #17988926C22semidirect
97. #17988895C22semidirect
98. #17988895C22semidirect
99. #17988894C22semidirect
100. #17988887C22semidirect
101. #17988883C22semidirect
102. #17988880C22semidirect
103. #17988878C22semidirect
104. #17988875C22semidirect
105. #17988870C22semidirect
107. #17988845C22semidirect
108. #17988845C22semidirect
109. #17988844C22semidirect
110. #17988842C22semidirect
115. #17988827C22semidirect
116. #17988825C22semidirect
119. #17988812C22semidirect
120. #17988810C22semidirect
121. #17988810C22semidirect
122. #17988809C22semidirect
126. #17988806C22semidirect
127. #17988806C22semidirect
128. #17988804C22semidirect
129. #17988802C22semidirect
131. #17988798C22semidirect
132. #17988796C22semidirect
133. #17988795C22semidirect
134. #17988795C22semidirect
135. #17988793C22semidirect
137. #17988790C22semidirect
138. #17988790C22semidirect
141. #17988752C22semidirect
142. #17988750C22semidirect
143. #17988749C22semidirect
144. #17988748C22semidirect
145. #17988746C22semidirect
146. #17988746C22semidirect
147. #17988746C22semidirect
148. #17988744C22semidirect
149. #17988743C22semidirect
150. #17988743C22semidirect
151. #17988741C22semidirect
159. #17988716C22semidirect
160. #17988716C22semidirect
161. #17988699C22semidirect
162. #17988697C22semidirect
163. #17988692C22semidirect
164. #17988691C22semidirect
165. #17988688C22semidirect
166. #17988687C22semidirect
167. #17988685C22semidirect
168. #17988684C22semidirect
169. #17988679C22semidirect
171. SD16×Dic73C22semidirect
175. #17988657C22semidirect
176. #17988657C22semidirect
177. #17988656C22semidirect
178. #17988656C22semidirect
179. #17988644C22semidirect
180. #17988643C22semidirect
181. #17988639C22semidirect
182. #17988609C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988594C22semidirect
186. #17988582C22semidirect
187. #17988580C22semidirect
188. C2×#137×C73C22semidirect
191. C4×#41×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
198. #463×C73C22semidirect
199. #463×C73C22semidirect
200. #423×C73C22semidirect
201. #419×C73C22semidirect
906. #3040D73semidirect
909. C73#61973semidirect
911. C2×#137C2×D73semidirect
959. C4×#41C2×D73semidirect
1012. #464C2×D73semidirect
1013. #464C2×D73semidirect
1019. #463C2×D73semidirect
1020. #463C2×D73semidirect
1073. #423C2×D73semidirect
1076. #419C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238862
#226235462
#226229872
#226229652
#226227182
#226226442
#226222102
#226221582
#226220042
#226219982
#226219742
#226219682
#226215712
#226215252
#226214922
#226214802
#226214512
#226214502
#226213052
#226213012
#226212652
#226209342
#226209322
#226208862
#226200402
#226200372
#226199462
#226194202
#226193832
#226190452
C73×#30402
#6197373