Finite Group Databasebeta

← #33978938

Subgroups — #33978938

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623886C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22623010C211yesmaximal, characteristic, complemented
4#22623001C211yesmaximal, characteristic, complemented
5#22622762C211yesmaximal, characteristic, complemented
6#22622688C211yesmaximal, characteristic, complemented
7#22622118C211yesmaximal, characteristic, complemented
8#22622088C211yesmaximal, characteristic, complemented
9#22621983C211yesmaximal, characteristic, complemented
10#22621953C211yesmaximal, characteristic, complemented
11#22621825C211yesmaximal, characteristic, complemented
12#22621773C211yesmaximal, characteristic, complemented
13#22621644C211yesmaximal, characteristic, complemented
14#22621611C211yesmaximal, characteristic, complemented
15#22621480C211yesmaximal, characteristic, complemented
16#22621450C211yesmaximal, characteristic, complemented
17#22621435C211yesmaximal, characteristic, complemented
18#22621405C211yesmaximal, characteristic, complemented
19#22621332C211yesmaximal, characteristic, complemented
20#22621281C211yesmaximal, characteristic, complemented
21#22621265C211yesmaximal, characteristic, complemented
22#22620973C211yesmaximal, characteristic, complemented
23#22620932C211yesmaximal, characteristic, complemented
24#22620896C211yesmaximal, characteristic, complemented
25#22620068C211yesmaximal, characteristic, complemented
26#22620037C211yesmaximal, characteristic, complemented
27#22619949C211yesmaximal, characteristic, complemented
28#22619383C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619057C211yesmaximal, characteristic, complemented
31C73×#3040C211yesmaximal, characteristic, complemented
32C2×#14556612C2211yescharacteristic, complemented
33C2×#14556610C2211yescharacteristic, complemented
34C2×SD16×D73C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic
36#17989319C2211yescharacteristic, complemented
37#17989309C2211yescharacteristic, complemented
38#17989306C2211yescharacteristic, complemented
39#17989300C2211yescharacteristic, complemented
40#17989299—21no—
41#17989296C2211yescharacteristic, complemented
42#17989286—21no—
43#17989278C2211yescharacteristic, complemented
44#17989276C2211yescharacteristic
45#17989270—21no—
46#17989267—21no—
47#17989266—21no—
48#17989263—21no—
49#17989261—21no—
50Q8×C22⋊D73C2211yescharacteristic
51#17989248C2211yescharacteristic, complemented
52#17989245C2211yescharacteristic
53#17989236C2211yescharacteristic, complemented
54#17989232C2211yescharacteristic, complemented
55#17989231C2211yescharacteristic, complemented
56#17989230C2211yescharacteristic
57#17989227—21no—
58#17989225C2211yescharacteristic
59D4×C22⋊D73C2211yescharacteristic
60#17989201—21no—
61#17989175—21no—
62#17989171—21no—
63#17989141C2211yescharacteristic, complemented
64#17989136C2211yescharacteristic, complemented
65#17989124C2211yescharacteristic, complemented
66#17989121—21no—
67#17989121C2211yescharacteristic, complemented
68#17989121C2211yescharacteristic, complemented
69#17989117—21no—
70#17989116C2211yescharacteristic
71#17989116C2211yescharacteristic, complemented
72#124×D73C2211yescharacteristic
73#17989096—21no—
74#17989060—21no—
75C4×#11924028C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic, complemented
78C2×#14556548—21no—
79#17988980C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988969C2211yescharacteristic
84#17988969C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988941C2211yescharacteristic, complemented
90#17988941C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic
97#17988895C2211yescharacteristic, complemented
98#17988895C2211yescharacteristic, complemented
99#17988894C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988845C2211yescharacteristic, complemented
108#17988840C2211yescharacteristic
109#17988833C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988827C2211yescharacteristic, complemented
112#17988825C2211yescharacteristic, complemented
113#17988825C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic
115#17988819C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic
117#17988813C2211yescharacteristic
118#17988813C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988810C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988806C2211yescharacteristic, complemented
125#17988805C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic
127#17988804C2211yescharacteristic, complemented
128#17988803C2211yescharacteristic, complemented
129#17988803C2211yescharacteristic, complemented
130#17988802C2211yescharacteristic, complemented
131#17988801C2211yescharacteristic
132#17988800C2211yescharacteristic
133#17988799C2211yescharacteristic
134#17988799C2211yescharacteristic, complemented
135#17988796C2211yescharacteristic, complemented
136#17988795C2211yescharacteristic, complemented
137#17988790C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic, complemented
139#17988786C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic
141#17988749C2211yescharacteristic, complemented
142#17988748C2211yescharacteristic, complemented
143#17988746C2211yescharacteristic, complemented
144#17988746C2211yescharacteristic, complemented
145#17988744C2211yescharacteristic, complemented
146#17988743C2211yescharacteristic, complemented
147#17988741C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic
149#17988738C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic
151#17988736C2211yescharacteristic, complemented
152#17988735C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic, complemented
154#17988732C2211yescharacteristic
155#17988729C2211yescharacteristic
156#17988726C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic
158#17988719C2211yescharacteristic
159#17988714C2211yescharacteristic, complemented
160#17988714C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic
162#17988699C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, complemented
167#17988688C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169C4×#11924018C2211yescharacteristic, complemented
170C4×#11924015C2211yescharacteristic, complemented
171C4×#11924016C2211yescharacteristic, complemented
172C4×#11924013C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic
174#17988656C2211yescharacteristic
175#17988656C2211yescharacteristic, complemented
176#17988656C2211yescharacteristic, complemented
177#17988652C2211yescharacteristic, complemented
178#17988652C2211yescharacteristic, complemented
179#17988643C2211yescharacteristic, complemented
180#17988643C2211yescharacteristic, complemented
181#17988640C2211yescharacteristic, complemented
182C4⋊C8×D73C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188C2×#137×C73C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
190C2×#124×C73C2211yescharacteristic, complemented
191C4×#41×C73C2211yescharacteristic, complemented
192#464×C73C2211yescharacteristic, complemented
193#464×C73C2211yescharacteristic, complemented
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, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556612—42no—
213#14556610—42no—
214C2×Dic292C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226SD16×D73—42no—
227C2×D584C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231D8×D73—42no—
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589—21no—
238#14556589C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556585—21no—
245#14556585—21no—
246#14556585—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556583—21no—
253#14556583C2311yescharacteristic
254#14556583C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556579C2311yescharacteristic
263#14556579C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572—21no—
285#14556571C2311yescharacteristic
286#14556570—21no—
287#14556570—21no—
288#14556570C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565—21no—
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556561—21no—
320#14556560—21no—
321#14556560—21no—
322#14556559—21no—
323#14556559—21no—
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146D411yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292D411yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73D411yescharacteristic
349C4×C22⋊D73D411yescharacteristic
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556550D411yescharacteristic
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548—21no—
367#14556548—21no—
368#14556548—21no—
369#14556548—21no—
370#14556548D411yescharacteristic
371#14556548D411yescharacteristic
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375#14556547—21no—
376C2×#11924007—21no—
377C2×#11924007—21no—
378C4⋊C4×D73C2311yescharacteristic
379C2×C22⋊Dic73—21no—
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—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#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
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#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
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—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—42no—
489#11924027—22no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—41no—
499Q8×D73—41no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
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—44no—
516C2×C22⋊D73C2×D411yescharacteristic
517C2×C22⋊D73C2×D411yescharacteristic
518D4×D73—22no—
519D4×D73—41no—
520D4×D73—41no—
521D4×D73—41no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—44no—
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541Dic292—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#11924015—41no—
551#11924015—41no—
552#11924015—41no—
553D584—41no—
554#11924013—22no—
555#11924013—41no—
556#11924013—41no—
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C8×D73—41no—
562C8×D73—41no—
563C8×D73—41no—
564C8×D73—41no—
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#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
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⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
630#11924005—21no—
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
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—21no—
715C22×D73—42no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73C22×D411yescharacteristic
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—81no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—42no—
736D4×C73—81no—
737D4×C73H(5,𝔽2)12yes—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—41no—
746C2×C4×C73—41no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C2511yescharacteristic
757C22⋊D73—22no—
758C22⋊D73—41no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—42no—
776C2×Dic73—42no—
777C2×Dic73—42no—
778C2×Dic73—81no—
779C2×Dic73—81no—
780C2×Dic73—81no—
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787D292—22no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—21no—
792D292—81no—
793D292—81no—
794C4×D73—22no—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—41no—
800C4×D73—41no—
801C4×D73—41no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—21no—
812Dic146—41no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—22no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—162no—
836C22×C73C23×D411yescharacteristic
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—84no—
849C2×D73—162no—
850C2×D73#57512yes—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73C2×H(5,𝔽2)11yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—42no—
877C2×C73—41no—
878C2×C73—81no—
879C2×C73—81no—
880C2×C73#348811yescharacteristic
881C2×C73C2×#57511yescharacteristic
882C2×C73#358411yescharacteristic
883D73—22no—
884D73—41no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040D7311yescharacteristic, complemented
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137C2×D7311yescharacteristic, complemented
920C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16—731no—
924C22×D8—731no—
925#559—731no—
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—731no—
934#552—1461no—
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—731no—
947#546—1461no—
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124C2×D7311yescharacteristic, complemented
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41C2×D7311yescharacteristic, complemented
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478—731no—
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464C2×D7311yescharacteristic, complemented
1017#464C2×D7311yescharacteristic, complemented
1018#464C2×D7311yescharacteristic, complemented
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463C2×D7311yescharacteristic
1031#463C2×D7311yescharacteristic
1032#463C2×D7311yescharacteristic, complemented
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452—731no—
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450—731no—
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423C2×D7311yescharacteristic, complemented
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419C2×D7311yescharacteristic, complemented
1085#418C2×D7311yescharacteristic, complemented
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8—731no—
1096C22×Q8C22×D7311yescharacteristic
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—1461no—
1100C22×D4C22×D7311yescharacteristic
1101C23×C4—1461no—
1102#137—42no—
1103AGL(1,ℤ/8)—42no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16C22×D7311yescharacteristic
1111C2×Q16C22×D7311yescharacteristic
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8C22×D7311yescharacteristic
1131C2×D8C22×D7311yescharacteristic
1132C2×M16C22×D7311yescharacteristic
1133C2×M16C22×D7311yescharacteristic
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C22×C8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—1461no—
1142#127—731no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—731no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125—1461no—
1160#124—21no—
1161#124—21no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124C22×D7311yescharacteristic
1175#124C22×D7311yescharacteristic
1176#124C22×D7311yescharacteristic
1177#124C22×D7311yescharacteristic
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—731no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210#121—731no—
1211#121—731no—
1212#121—731no—
1213#121—731no—
1214#121—731no—
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#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—1461no—
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
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—731no—
1255C4×D4—731no—
1256C4×D4—731no—
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×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—21no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117C22×D7311yescharacteristic
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—21no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—1461no—
1308C2×C42C22×D7311yescharacteristic
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8C22×D7311yescharacteristic
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369C4×C8—731no—
1370C4×C8—731no—
1371C24—21no—
1372C24—1461no—
1373C24—1461no—
1374#41—22no—
1375#41—41no—
1376#41—2922no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—2921no—
1381#41—2921no—
1382#41—1462no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8C23×D7311yescharacteristic
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—2924no—
1401C2×D4—2921no—
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1462no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4C23×D7311yescharacteristic
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—2924no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4D4×D7311yescharacteristic
1449C22×C4D4×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—2921no—
1468SD16—1462no—
1469D8—22no—
1470D8—22no—
1471D8—2921no—
1472D8—2921no—
1473D8—2921no—
1474D8—1462no—
1475M16—41no—
1476M16—41no—
1477C2×C8—2921no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
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—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⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
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—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
1542C22⋊C4—731no—
1543C22⋊C4—731no—
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⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42D4×D7311yescharacteristic
1590C42D4×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—81no—
1598C23—81no—
1599C23—2922no—
1600C23—2922no—
1601C23—2922no—
1602C23—5841no—
1603C23—5841no—
1604C23—5841no—
1605C23—731no—
1606C23—731no—
1607C23—1461no—
1608C23—1461no—
1609C23C2×D4×D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—81no—
1617Q8—2921no—
1618Q8—5841no—
1619Q8—5841no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—42no—
1630D4—81no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2921no—
1636D4—2922no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—1462no—
1645D4—1462no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4#1455663612yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—42no—
1661C2×C4—42no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—2922no—
1665C2×C4—2921no—
1666C2×C4—2921no—
1667C2×C4—2921no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2922no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—1462no—
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×C4—1461no—
1695C2×C4—1461no—
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—22no—
1712C22—21no—
1713C22—21no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—5844no—
1730C22—732no—
1731C22—11682no—
1732C22—1461no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22—1461no—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4C2×#1455663611yescharacteristic
1761C4#1798942311yescharacteristic
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—2921no—
1767C2—5841no—
1768C2—5841no—
1769C2—1462no—
1770C2#2262359611yescharacteristic
1771C2#575×D7311yescharacteristic
1772C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3040C2
socleC22×C73C23×D4
hypercenter#3040D73
hypocenterC73#61990
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. #22623493C2semidirect
3. #22623010C2semidirect
4. #22623001C2semidirect
5. #22622762C2semidirect
6. #22622688C2semidirect
7. #22622118C2semidirect
8. #22622088C2semidirect
9. #22621983C2semidirect
10. #22621953C2semidirect
11. #22621825C2semidirect
12. #22621773C2semidirect
13. #22621644C2semidirect
14. #22621611C2semidirect
15. #22621480C2semidirect
16. #22621450C2semidirect
17. #22621435C2semidirect
18. #22621405C2semidirect
19. #22621332C2semidirect
20. #22621281C2semidirect
21. #22621265C2semidirect
22. #22620973C2semidirect
23. #22620932C2semidirect
24. #22620896C2semidirect
25. #22620068C2semidirect
26. #22620037C2semidirect
27. #22619949C2semidirect
28. #22619383C2semidirect
29. #463×D73C2semidirect
30. #22619057C2semidirect
31. C73×#3040C2semidirect
32. C2×#14556612C22semidirect
33. C2×#14556610C22semidirect
34. C2×SD16×D73C22semidirect
36. #17989319C22semidirect
37. #17989309C22semidirect
38. #17989306C22semidirect
39. #17989300C22semidirect
41. #17989296C22semidirect
43. #17989278C22semidirect
51. #17989248C22semidirect
53. #17989236C22semidirect
54. #17989232C22semidirect
55. #17989231C22semidirect
63. #17989141C22semidirect
64. #17989136C22semidirect
65. #17989124C22semidirect
67. #17989121C22semidirect
68. #17989121C22semidirect
71. #17989116C22semidirect
76. C4×#11924027C22semidirect
77. C4×D4×D73C22semidirect
79. #17988980C22semidirect
80. #17988980C22semidirect
81. #17988978C22semidirect
84. #17988969C22semidirect
85. #17988954C22semidirect
86. #17988950C22semidirect
87. #17988948C22semidirect
88. #17988945C22semidirect
89. #17988941C22semidirect
90. #17988941C22semidirect
91. #17988928C22semidirect
92. #17988926C22semidirect
93. #17988916C22semidirect
94. #17988911C22semidirect
95. #17988909C22semidirect
97. #17988895C22semidirect
98. #17988895C22semidirect
99. #17988894C22semidirect
100. #17988892C22semidirect
101. #17988888C22semidirect
102. #17988888C22semidirect
103. #17988887C22semidirect
104. #17988885C22semidirect
105. #17988870C22semidirect
106. #17988865C22semidirect
107. #17988845C22semidirect
109. #17988833C22semidirect
110. #17988833C22semidirect
111. #17988827C22semidirect
112. #17988825C22semidirect
113. #17988825C22semidirect
115. #17988819C22semidirect
118. #17988813C22semidirect
119. #17988811C22semidirect
120. #17988810C22semidirect
121. #17988810C22semidirect
122. #17988809C22semidirect
123. #17988806C22semidirect
124. #17988806C22semidirect
125. #17988805C22semidirect
127. #17988804C22semidirect
128. #17988803C22semidirect
129. #17988803C22semidirect
130. #17988802C22semidirect
134. #17988799C22semidirect
135. #17988796C22semidirect
136. #17988795C22semidirect
137. #17988790C22semidirect
138. #17988790C22semidirect
139. #17988786C22semidirect
141. #17988749C22semidirect
142. #17988748C22semidirect
143. #17988746C22semidirect
144. #17988746C22semidirect
145. #17988744C22semidirect
146. #17988743C22semidirect
147. #17988741C22semidirect
149. #17988738C22semidirect
151. #17988736C22semidirect
152. #17988735C22semidirect
153. #17988733C22semidirect
156. #17988726C22semidirect
159. #17988714C22semidirect
160. #17988714C22semidirect
162. #17988699C22semidirect
163. #17988696C22semidirect
164. #17988691C22semidirect
165. #17988690C22semidirect
166. #17988688C22semidirect
167. #17988688C22semidirect
168. #17988684C22semidirect
169. C4×#11924018C22semidirect
170. C4×#11924015C22semidirect
171. C4×#11924016C22semidirect
172. C4×#11924013C22semidirect
175. #17988656C22semidirect
176. #17988656C22semidirect
177. #17988652C22semidirect
178. #17988652C22semidirect
179. #17988643C22semidirect
180. #17988643C22semidirect
181. #17988640C22semidirect
182. C4⋊C8×D73C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. #103×D73C22semidirect
188. C2×#137×C73C22semidirect
190. C2×#124×C73C22semidirect
191. C4×#41×C73C22semidirect
192. #464×C73C22semidirect
193. #464×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
198. #463×C73C22semidirect
199. #463×C73C22semidirect
200. #423×C73C22semidirect
201. #419×C73C22semidirect
202. #418×C73C22semidirect
914. #3040D73semidirect
918. C73#61990semidirect
919. C2×#137C2×D73semidirect
962. C2×#124C2×D73semidirect
967. C4×#41C2×D73semidirect
1016. #464C2×D73semidirect
1017. #464C2×D73semidirect
1018. #464C2×D73semidirect
1019. #464C2×D73semidirect
1032. #463C2×D73semidirect
1033. #463C2×D73semidirect
1081. #423C2×D73semidirect
1084. #419C2×D73semidirect
1085. #418C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238862
#226234932
#226230102
#226230012
#226227622
#226226882
#226221182
#226220882
#226219832
#226219532
#226218252
#226217732
#226216442
#226216112
#226214802
#226214502
#226214352
#226214052
#226213322
#226212812
#226212652
#226209732
#226209322
#226208962
#226200682
#226200372
#226199492
#226193832
#463×D732
#226190572
C73×#30402
#6199073