Finite Group Databasebeta

← #12984888

Subgroups — #12984888

Order 1280.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10619140C211yesmaximal, characteristic, complemented
2#10617958C211yesmaximal, characteristic, complemented
3C5×#3003C211yesmaximal, characteristic, complemented
4C2×#65507C211yesmaximal, characteristic, complemented
5#10615693C211yesmaximal, characteristic, complemented
6#10615689C211yesmaximal, characteristic, complemented
7#10615685C211yesmaximal, characteristic, complemented
8#10615684C211yesmaximal, characteristic, complemented
9#10614661C211yesmaximal, characteristic, complemented
10#10611902C211yesmaximal, characteristic, complemented
11#10611900C211yesmaximal, characteristic, complemented
12#10611894C211yesmaximal, characteristic, complemented
13#10611889C211yesmaximal, characteristic, complemented
14#10611886C211yesmaximal, characteristic, complemented
15#10611879C211yesmaximal, characteristic, complemented
16#10611873C211yesmaximal, characteristic, complemented
17#10611868C211yesmaximal, characteristic, complemented
18#10611758C211yesmaximal, characteristic, complemented
19#10611756C211yesmaximal, characteristic, complemented
20#10611748C211yesmaximal, characteristic, complemented
21#10611746C211yesmaximal, characteristic, complemented
22#10611741C211yesmaximal, characteristic, complemented
23#10611736C211yesmaximal, characteristic, complemented
24#10611730C211yesmaximal, characteristic, complemented
25#10611723C211yesmaximal, characteristic, complemented
26#10610671C211yesmaximal, characteristic, complemented
27#10610670C211yesmaximal, characteristic, complemented
28#10610666C211yesmaximal, characteristic, complemented
29#10610665C211yesmaximal, characteristic, complemented
30#10610378C211yesmaximal, characteristic, complemented
31#10610366C211yesmaximal, characteristic, complemented
32C23×C5×D4C2211yescharacteristic
33C2×#4144C2211yescharacteristic
34C2×C5×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C5×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C5×#525C2211yescharacteristic, complemented
37C2×#4099—21no—
38C2×#4099—21no—
39#66165C2211yescharacteristic, complemented
40#66158C2211yescharacteristic, complemented
41#66140—21no—
42#66140—21no—
43#66140C2211yescharacteristic
44#66140C2211yescharacteristic
45#66140C2211yescharacteristic
46#66140C2211yescharacteristic
47#66139C2211yescharacteristic
48#66139C2211yescharacteristic
49#66138—21no—
50#66138—21no—
51D4×C22⋊D5—21no—
52D4×C22⋊D5—21no—
53D4×C22⋊D5C2211yescharacteristic
54D4×C22⋊D5C2211yescharacteristic
55D4×C22⋊D5C2211yescharacteristic
56D4×C22⋊D5C2211yescharacteristic
57#66132C2211yescharacteristic
58C22×#687C2211yescharacteristic, complemented
59C22×#687C2211yescharacteristic, complemented
60#66125C2211yescharacteristic
61#66125C2211yescharacteristic
62C2×#4070C2211yescharacteristic, complemented
63C2×#4061C2211yescharacteristic, complemented
64C2×D5×SD16C2211yescharacteristic, complemented
65C2×#4058C2211yescharacteristic, complemented
66C2×#4057C2211yescharacteristic, complemented
67#66001—21no—
68#65985—21no—
69#65969C2211yescharacteristic, complemented
70#65966C2211yescharacteristic, complemented
71#65962C2211yescharacteristic, complemented
72#65959C2211yescharacteristic, complemented
73#65952C2211yescharacteristic, complemented
74#65942C2211yescharacteristic, complemented
75#65937C2211yescharacteristic, complemented
76#65932C2211yescharacteristic, complemented
77#65927—21no—
78#65927—21no—
79#65898—21no—
80#65895—21no—
81#65874—21no—
82#65873—21no—
83#65867C2211yescharacteristic, complemented
84#65863C2211yescharacteristic, complemented
85C5×#450C2211yescharacteristic
86C5×#450C2211yescharacteristic, complemented
87C5×#450C2211yescharacteristic, complemented
88C5×#450C2211yescharacteristic, complemented
89C5×#447C2211yescharacteristic
90C5×#447C2211yescharacteristic, complemented
91C5×#447C2211yescharacteristic, complemented
92C5×#447C2211yescharacteristic, complemented
93C5×#418C2211yescharacteristic, complemented
94C5×#418C2211yescharacteristic, complemented
95C5×#407C2211yescharacteristic, complemented
96#65528C2211yescharacteristic, complemented
97#65527C2211yescharacteristic, complemented
98#65507C2211yescharacteristic
99#65507C2211yescharacteristic
100#65507C2211yescharacteristic, complemented
101#65507C2211yescharacteristic, complemented
102#65507C2211yescharacteristic, complemented
103#65507C2211yescharacteristic, complemented
104#65507C2211yescharacteristic, complemented
105#65507C2211yescharacteristic, complemented
106C2×#3964C2211yescharacteristic, complemented
107C2×#3964C2211yescharacteristic, complemented
108C2×C22⋊#168C2211yescharacteristic, complemented
109#65464C2211yescharacteristic, complemented
110#65463C2211yescharacteristic, complemented
111#65462C2211yescharacteristic, complemented
112#65460C2211yescharacteristic, complemented
113#65459C2211yescharacteristic, complemented
114#65459C2211yescharacteristic, complemented
115#65458C2211yescharacteristic, complemented
116#65456C2211yescharacteristic, complemented
117#65455C2211yescharacteristic, complemented
118#65453C2211yescharacteristic, complemented
119#65452C2211yescharacteristic, complemented
120#65451C2211yescharacteristic, complemented
121#65451C2211yescharacteristic, complemented
122SD16×Dic5C2211yescharacteristic, complemented
123#65448C2211yescharacteristic, complemented
124#65447C2211yescharacteristic, complemented
125#65447C2211yescharacteristic, complemented
126#65447C2211yescharacteristic, complemented
127#65446C2211yescharacteristic, complemented
128#65445C2211yescharacteristic, complemented
129#65444C2211yescharacteristic, complemented
130#65443C2211yescharacteristic, complemented
131#65442C2211yescharacteristic, complemented
132#65442C2211yescharacteristic, complemented
133#65442C2211yescharacteristic, complemented
134#65441C2211yescharacteristic, complemented
135#65439C2211yescharacteristic, complemented
136D8×Dic5C2211yescharacteristic, complemented
137#65426C2211yescharacteristic, complemented
138#65426C2211yescharacteristic, complemented
139#65423C2211yescharacteristic, complemented
140#65423C2211yescharacteristic, complemented
141#65417C2211yescharacteristic, complemented
142#65417C2211yescharacteristic, complemented
143#65416C2211yescharacteristic, complemented
144#65416C2211yescharacteristic, complemented
145#65340C2211yescharacteristic, complemented
146#65337C2211yescharacteristic, complemented
147#65336C2211yescharacteristic, complemented
148#65334C2211yescharacteristic, complemented
149#65330C2211yescharacteristic, complemented
150#65327C2211yescharacteristic, complemented
151#65326C2211yescharacteristic, complemented
152#65324C2211yescharacteristic, complemented
153#65292C2211yescharacteristic, complemented
154#65285C2211yescharacteristic, complemented
155#65073C2211yescharacteristic, complemented
156#65072C2211yescharacteristic, complemented
157#65072C2211yescharacteristic, complemented
158#65069C2211yescharacteristic, complemented
159#65069C2211yescharacteristic, complemented
160#65068C2211yescharacteristic, complemented
161#65067C2211yescharacteristic, complemented
162#65067C2211yescharacteristic, complemented
163#65066C2211yescharacteristic, complemented
164#65065C2211yescharacteristic, complemented
165#65065C2211yescharacteristic, complemented
166#65063C2211yescharacteristic, complemented
167#65061C2211yescharacteristic, complemented
168#65060C2211yescharacteristic, complemented
169#65059C2211yescharacteristic, complemented
170D5×#102C2211yescharacteristic, complemented
171#65057C2211yescharacteristic, complemented
172#65056C2211yescharacteristic, complemented
173#65056C2211yescharacteristic, complemented
174#65055C2211yescharacteristic, complemented
175#65054C2211yescharacteristic, complemented
176#65053C2211yescharacteristic, complemented
177#65052C2211yescharacteristic, complemented
178#65051C2211yescharacteristic, complemented
179#65051C2211yescharacteristic, complemented
180#65050C2211yescharacteristic, complemented
181#65049C2211yescharacteristic, complemented
182#65048C2211yescharacteristic, complemented
183#65047C2211yescharacteristic, complemented
184#65047C2211yescharacteristic, complemented
185#65046C2211yescharacteristic, complemented
186#65046C2211yescharacteristic, complemented
187#65028C2211yescharacteristic, complemented
188#65027C2211yescharacteristic, complemented
189#65024C2211yescharacteristic, complemented
190#65022C2211yescharacteristic, complemented
191#65022C2211yescharacteristic, complemented
192#65019C2211yescharacteristic, complemented
193#65019C2211yescharacteristic, complemented
194#65016C2211yescharacteristic, complemented
195#65016C2211yescharacteristic, complemented
196#65014C2211yescharacteristic, complemented
197#65014C2211yescharacteristic, complemented
198#65012C2211yescharacteristic, complemented
199#65012C2211yescharacteristic, complemented
200#65011C2211yescharacteristic, complemented
201#65009C2211yescharacteristic, complemented
202#65009C2211yescharacteristic, complemented
203#61610—51nomaximal, Sylow
204C25×C5—21no—
205C2×C5×#41C2311yescharacteristic
206C22×C5×D4—21no—
207C22×C5×D4—21no—
208C22×C5×D4—21no—
209C22×C5×D4—42no—
210C22×C5×D4—42no—
211C22×C5×D4C2311yescharacteristic
212C22×C5×D4C2311yescharacteristic
213C22×C5×D4C2311yescharacteristic
214C22×C5×D4C2311yescharacteristic
215C22×C5×D4C2311yescharacteristic
216C22×C5×D4C2311yescharacteristic
217C23×C4×C5C2311yescharacteristic
218C22×C22⋊D5—21no—
219C22×C22⋊D5—21no—
220C22×C22⋊D5—21no—
221C22×C22⋊D5—21no—
222C22×C22⋊D5—21no—
223C22×C22⋊D5—21no—
224C2×Q8×D5C2311yescharacteristic, complemented
225#4144—42no—
226#4144—42no—
227C2×#711—21no—
228C2×#711C2311yescharacteristic
229C2×#711C2311yescharacteristic
230C2×#711C2311yescharacteristic, complemented
231C2×D4×D5—21no—
232C2×D4×D5C2311yescharacteristic
233C2×D4×D5C2311yescharacteristic
234C2×#709C2311yescharacteristic
235C2×#709C2311yescharacteristic
236C22×Dic10C2311yescharacteristic
237C5×AGL(1,ℤ/8)—42no—
238C5×AGL(1,ℤ/8)—42no—
239C2×C5×SD16C2311yescharacteristic
240C2×C5×SD16C2311yescharacteristic
241C2×C5×SD16C2311yescharacteristic
242C2×C5×SD16C2311yescharacteristic
243C2×C5×D8C2311yescharacteristic
244C2×C5×D8C2311yescharacteristic
245C2×C5×D8C2311yescharacteristic
246C2×C5×D8C2311yescharacteristic
247C2×C5×M16C2311yescharacteristic
248C2×C5×M16C2311yescharacteristic
249C5×#123—21no—
250C5×C22⋊Q8C2311yescharacteristic
251C5×C22⋊Q8C2311yescharacteristic
252C5×#121C2311yescharacteristic
253C5×#121C2311yescharacteristic
254C5×#120—21no—
255C4×C5×D4—21no—
256C4×C5×D4—21no—
257C5×#117C2311yescharacteristic
258#4099—21no—
259#4099—21no—
260#4099—21no—
261#4099—21no—
262#4099—21no—
263#4099—21no—
264#4099—21no—
265#4099—21no—
266#4099—21no—
267#4099—21no—
268#4099—21no—
269#4099—21no—
270#4099—21no—
271#4099D411yescharacteristic
272#4099D411yescharacteristic
273C2×C22⋊Dic5—21no—
274C2×C22⋊Dic5—21no—
275C2×C22⋊Dic5—21no—
276C2×C22⋊Dic5—21no—
277C2×C22⋊Dic5—21no—
278C2×C22⋊Dic5—21no—
279C2×C22⋊Dic5—21no—
280#4092C2311yescharacteristic, complemented
281Q8×Dic5C2311yescharacteristic, complemented
282#4090C2311yescharacteristic, complemented
283C2×#689C2311yescharacteristic, complemented
284C2×#688C2311yescharacteristic, complemented
285#4086—21no—
286#4086C2311yescharacteristic
287#4086C2311yescharacteristic
288#4085—21no—
289#4085—21no—
290#4085—21no—
291#4085—21no—
292#4085—21no—
293#4085—21no—
294#4085—21no—
295#4085—21no—
296#4085—21no—
297#4085—21no—
298#4085—21no—
299#4085—21no—
300#4084—21no—
301#4084—21no—
302#4084—21no—
303#4084—21no—
304#4084C2311yescharacteristic
305#4084C2311yescharacteristic
306#4084C2311yescharacteristic
307#4084C2311yescharacteristic
308#4084C2311yescharacteristic, complemented
309#4083—21no—
310#4083—21no—
311#4083—21no—
312#4083—21no—
313#4082—21no—
314#4082—21no—
315#4082—21no—
316#4082C2311yescharacteristic
317#4082C2311yescharacteristic
318#4082C2311yescharacteristic, complemented
319#4081—21no—
320#4081—21no—
321#4081—21no—
322#4081—21no—
323#4081—21no—
324#4081—21no—
325D4×Dic5—21no—
326D4×Dic5—21no—
327D4×Dic5—21no—
328D4×Dic5—21no—
329D4×Dic5C2311yescharacteristic
330D4×Dic5C2311yescharacteristic
331D4×Dic5C2311yescharacteristic
332D4×Dic5C2311yescharacteristic
333D4×Dic5C2311yescharacteristic, complemented
334C2×#687—42no—
335C2×#687—42no—
336C2×#687C2311yescharacteristic
337C2×#687C2311yescharacteristic
338C2×#687C2311yescharacteristic
339C2×#687C2311yescharacteristic
340C2×#687C2311yescharacteristic
341C2×#687C2311yescharacteristic
342C2×#687C2311yescharacteristic
343C2×#687C2311yescharacteristic
344C2×#687C2311yescharacteristic, complemented
345C2×#686C2311yescharacteristic, complemented
346#4076D411yescharacteristic
347#4076D411yescharacteristic
348#4076C2311yescharacteristic
349#4076C2311yescharacteristic
350#4075—21no—
351#4075—21no—
352#4075D411yescharacteristic
353#4075D411yescharacteristic
354C4×C22⋊D5—21no—
355C4×C22⋊D5—21no—
356C4×C22⋊D5—21no—
357C4×C22⋊D5C2311yescharacteristic
358C4×C22⋊D5C2311yescharacteristic
359C4×C22⋊D5C2311yescharacteristic
360C4×C22⋊D5C2311yescharacteristic
361#4072C2311yescharacteristic
362#4072C2311yescharacteristic
363C2×C4⋊Dic5C2311yescharacteristic
364#4070—21no—
365#4070—21no—
366#4070—21no—
367#4070D411yescharacteristic
368#4070D411yescharacteristic
369#4070C2311yescharacteristic
370#4070C2311yescharacteristic
371#4070C2311yescharacteristic
372#4070C2311yescharacteristic
373#4070C2311yescharacteristic
374#4070C2311yescharacteristic
375C2×#683—21no—
376C2×#683—21no—
377C22×#168C2311yescharacteristic
378C22×#168C2311yescharacteristic
379#4061—42no—
380D5×SD16—42no—
381#4058—42no—
382#4057—42no—
383C2×Dic20C2311yescharacteristic, complemented
384C2×Dic20C2311yescharacteristic, complemented
385C2×#677C2311yescharacteristic, complemented
386C2×#677C2311yescharacteristic, complemented
387C2×#676C2311yescharacteristic, complemented
388C2×#676C2311yescharacteristic, complemented
389C2×C8×D5C2311yescharacteristic, complemented
390C2×C8×D5C2311yescharacteristic, complemented
391#4043—21no—
392#4043C2311yescharacteristic, complemented
393#4043C2311yescharacteristic, complemented
394#4042—21no—
395#4040—21no—
396#4038C2311yescharacteristic, complemented
397D5×C4⋊C4C2311yescharacteristic, complemented
398#4036—21no—
399#4036C2311yescharacteristic, complemented
400#4035—21no—
401#4035—21no—
402#4034—21no—
403#4034—21no—
404#4034C2311yescharacteristic, complemented
405#4033C2311yescharacteristic, complemented
406#4033C2311yescharacteristic, complemented
407#4032—21no—
408#4031—21no—
409#4031—21no—
410#4031—21no—
411#4030—21no—
412#4029—21no—
413#4029—21no—
414#4027—21no—
415#4027—21no—
416#4025—21no—
417#4025—21no—
418#4025—21no—
419#4025—21no—
420#4025—21no—
421#4025—21no—
422#4024—21no—
423#4024—21no—
424#4024—21no—
425#4024—21no—
426#4024—21no—
427#4022—21no—
428#4018—21no—
429#4016—21no—
430C4×Dic10—21no—
431C5×#102C2311yescharacteristic
432C5×#102C2311yescharacteristic
433C5×#102C2311yescharacteristic
434C5×#102C2311yescharacteristic
435C5×#102C2311yescharacteristic
436C5×#102C2311yescharacteristic
437C5×#102C2311yescharacteristic
438C5×#102C2311yescharacteristic
439C5×C22⋊C8C2311yescharacteristic
440C5×C22⋊C8C2311yescharacteristic
441C5×C22⋊C8C2311yescharacteristic
442C5×C22⋊C8C2311yescharacteristic
443#3967C2311yescharacteristic, complemented
444#3967C2311yescharacteristic, complemented
445#3964C2311yescharacteristic
446#3964C2311yescharacteristic
447#3964C2311yescharacteristic
448#3964C2311yescharacteristic
449#3964C2311yescharacteristic
450#3964C2311yescharacteristic
451#3964C2311yescharacteristic
452#3964C2311yescharacteristic
453#3964C2311yescharacteristic, complemented
454#3964C2311yescharacteristic, complemented
455C22⋊#168C2311yescharacteristic
456C22⋊#168C2311yescharacteristic
457C22⋊#168C2311yescharacteristic
458C22⋊#168C2311yescharacteristic
459#3953C2311yescharacteristic, complemented
460#3953C2311yescharacteristic, complemented
461#3952C2311yescharacteristic, complemented
462#3952C2311yescharacteristic, complemented
463#3952C2311yescharacteristic, complemented
464#3952C2311yescharacteristic, complemented
465#3950C2311yescharacteristic, complemented
466#3950C2311yescharacteristic, complemented
467#3949C2311yescharacteristic, complemented
468#3949C2311yescharacteristic, complemented
469#3948C2311yescharacteristic, complemented
470#3948C2311yescharacteristic, complemented
471#3948C2311yescharacteristic, complemented
472#3948C2311yescharacteristic, complemented
473#3948C2311yescharacteristic, complemented
474#3948C2311yescharacteristic, complemented
475#3947C2311yescharacteristic, complemented
476#3947C2311yescharacteristic, complemented
477#3946C2311yescharacteristic, complemented
478#3946C2311yescharacteristic, complemented
479#3946C2311yescharacteristic, complemented
480#3946C2311yescharacteristic, complemented
481C8×Dic5C2311yescharacteristic, complemented
482C8×Dic5C2311yescharacteristic, complemented
483#3942C2311yescharacteristic, complemented
484#3942C2311yescharacteristic, complemented
485#3941C2311yescharacteristic, complemented
486#3941C2311yescharacteristic, complemented
487#3940C2311yescharacteristic, complemented
488#3940C2311yescharacteristic, complemented
489#3939C2311yescharacteristic, complemented
490#3939C2311yescharacteristic, complemented
491#3541—51no—
492#3484—51no—
493#3324—51no—
494#3323—51no—
495#3318—51no—
496#3314—51no—
497#3311—51no—
498#3310—51no—
499#3297—51no—
500#3295—51no—
501#3282—51no—
502D4×SD16—51no—
503#3275—51no—
504#3272—51no—
505#3267—51no—
506#3266—51no—
507#3265—51no—
508#3265—51no—
509#3224—51no—
510#3222—51no—
511#3200—51no—
512#3198—51no—
513#3196—51no—
514#3191—51no—
515#3123—51no—
516#3118—51no—
517#3012—51no—
518#3009—51no—
519#3003D511yescharacteristic, complemented
520C2×#450—51no—
521#2976—51no—
522C24×C5—21no—
523C24×C5—21no—
524C24×C5—21no—
525C24×C5—21no—
526C24×C5—21no—
527C24×C5—21no—
528C24×C5—44no—
529C24×C5—82no—
530C24×C5—82no—
531C24×C5C2×D411yescharacteristic
532C23×D5—21no—
533C23×D5—21no—
534C5×#41—41no—
535C5×#41—41no—
536C2×C5×Q8C2411yescharacteristic
537C2×C5×D4—22no—
538C2×C5×D4—22no—
539C2×C5×D4—22no—
540C2×C5×D4—22no—
541C2×C5×D4—22no—
542C2×C5×D4—22no—
543C2×C5×D4—21no—
544C2×C5×D4—21no—
545C2×C5×D4—21no—
546C2×C5×D4—21no—
547C2×C5×D4—21no—
548C2×C5×D4—21no—
549C2×C5×D4—21no—
550C2×C5×D4—21no—
551C2×C5×D4—21no—
552C2×C5×D4—41no—
553C2×C5×D4—41no—
554C2×C5×D4—41no—
555C2×C5×D4—41no—
556C2×C5×D4—41no—
557C2×C5×D4—41no—
558C2×C5×D4—44no—
559C2×C5×D4—44no—
560C2×C5×D4—44no—
561C2×C5×D4C2411yescharacteristic
562C2×C5×D4C2411yescharacteristic
563C2×C5×D4C2411yescharacteristic
564C2×C5×D4C2411yescharacteristic
565C2×C5×D4C2411yescharacteristic
566C22×C4×C5—21no—
567C22×C4×C5—41no—
568C22×C4×C5—41no—
569C22×C4×C5C2×D411yescharacteristic
570C22×C4×C5C2×D411yescharacteristic
571C22×C4×C5C2×D411yescharacteristic
572C22×C4×C5C2411yescharacteristic
573C22×C4×C5C2411yescharacteristic
574C22×C4×C5C2411yescharacteristic
575C2×C22⋊D5—21no—
576C2×C22⋊D5—21no—
577C2×C22⋊D5—21no—
578C2×C22⋊D5—21no—
579C2×C22⋊D5—21no—
580C2×C22⋊D5—21no—
581C2×C22⋊D5—21no—
582C2×C22⋊D5—21no—
583C2×C22⋊D5—21no—
584C2×C22⋊D5—21no—
585C2×C22⋊D5—21no—
586C2×C22⋊D5—21no—
587C2×C22⋊D5—21no—
588C2×C22⋊D5—21no—
589C2×C22⋊D5—21no—
590C2×C22⋊D5—21no—
591C2×C22⋊D5—21no—
592C2×C22⋊D5—44no—
593C2×C22⋊D5—44no—
594C2×C22⋊D5—82no—
595C2×C22⋊D5—82no—
596C2×C22⋊D5—82no—
597C2×C22⋊D5—82no—
598C2×C22⋊D5C2×D411yescharacteristic
599C2×C22⋊D5C2×D411yescharacteristic
600C2×C22⋊D5C2×D411yescharacteristic
601C2×C22⋊D5C2×D411yescharacteristic
602C2×C22⋊D5C2×D411yescharacteristic
603C2×C22⋊D5C2×D411yescharacteristic
604C22×Dic5—21no—
605C22×Dic5—21no—
606C22×Dic5—21no—
607C22×Dic5—21no—
608C22×Dic5—21no—
609C22×Dic5—21no—
610C22×Dic5—21no—
611C22×Dic5—21no—
612C22×Dic5—21no—
613C22×Dic5—21no—
614Q8×D5—41no—
615Q8×D5—41no—
616#711—22no—
617#711—22no—
618#711—41no—
619#711—41no—
620#711—41no—
621#711—41no—
622#711—44no—
623D4×D5—22no—
624D4×D5—22no—
625D4×D5—41no—
626D4×D5—41no—
627D4×D5—44no—
628#709—41no—
629#709—41no—
630#709—41no—
631#709—41no—
632C2×D20C2×D411yescharacteristic
633C2×D20C2411yescharacteristic
634C2×C4×D5—21no—
635C2×C4×D5—21no—
636C2×C4×D5—21no—
637C2×C4×D5C2411yescharacteristic
638C2×C4×D5C2411yescharacteristic
639C2×Dic10—21no—
640C2×Dic10—21no—
641C2×Dic10—21no—
642C2×Dic10—41no—
643C2×Dic10—41no—
644C2×Dic10C2×D411yescharacteristic
645C2×Dic10C2411yescharacteristic
646C2×Dic10C2411yescharacteristic
647C2×Dic10C2411yescharacteristic
648C5×SD16—22no—
649C5×SD16—22no—
650C5×SD16—41no—
651C5×SD16—41no—
652C5×D8—22no—
653C5×D8—22no—
654C5×D8—41no—
655C5×D8—41no—
656C5×M16—41no—
657C5×M16—41no—
658C2×C5×C8C2411yescharacteristic
659C2×C5×C8C2411yescharacteristic
660C2×C5×C8C2411yescharacteristic
661C2×C5×C8C2411yescharacteristic
662C5×C4⋊C4—21no—
663C5×C4⋊C4—21no—
664C5×C4⋊C4C2411yescharacteristic
665C5×C4⋊C4C2411yescharacteristic
666C5×C22⋊C4—21no—
667C5×C22⋊C4—21no—
668C5×C22⋊C4—21no—
669C5×C22⋊C4—21no—
670C5×C22⋊C4—21no—
671C42×C5—21no—
672C22⋊Dic5—21no—
673C22⋊Dic5—21no—
674C22⋊Dic5—21no—
675C22⋊Dic5—21no—
676C22⋊Dic5—21no—
677C22⋊Dic5—21no—
678C22⋊Dic5—21no—
679C22⋊Dic5—21no—
680C22⋊Dic5—21no—
681C22⋊Dic5—21no—
682C22⋊Dic5—21no—
683C22⋊Dic5—21no—
684C22⋊Dic5—21no—
685C22⋊Dic5—21no—
686C22⋊Dic5—21no—
687C22⋊Dic5—21no—
688C22⋊Dic5—21no—
689C22⋊Dic5—21no—
690C22⋊Dic5—21no—
691C22⋊Dic5—21no—
692C22⋊Dic5—21no—
693C22⋊Dic5—21no—
694C22⋊Dic5—21no—
695C22⋊Dic5C2×D411yescharacteristic
696C22⋊Dic5C2×D411yescharacteristic
697C22⋊Dic5C2×D411yescharacteristic
698C22⋊Dic5C2×D411yescharacteristic
699C22⋊Dic5C2×D411yescharacteristic
700C22⋊Dic5C2×D411yescharacteristic
701#689—41no—
702#688—41no—
703#687—22no—
704#687—22no—
705#687—22no—
706#687—22no—
707#687—41no—
708#687—41no—
709#687—41no—
710#687—41no—
711#687—41no—
712#686—41no—
713#685—21no—
714#685—21no—
715#685—21no—
716#685—21no—
717#685—21no—
718#685—21no—
719#685C2×D411yescharacteristic
720#685C2×D411yescharacteristic
721#685C2×D411yescharacteristic
722#685C2×D411yescharacteristic
723C4⋊Dic5—21no—
724C4⋊Dic5—21no—
725C4⋊Dic5—21no—
726C4⋊Dic5—21no—
727C4⋊Dic5—21no—
728C4⋊Dic5C2×D411yescharacteristic
729C4⋊Dic5C2×D411yescharacteristic
730C4⋊Dic5C2411yescharacteristic
731C4⋊Dic5C2411yescharacteristic
732C4⋊Dic5C2411yescharacteristic
733C4⋊Dic5C2411yescharacteristic
734#683—21no—
735#683—21no—
736#683—21no—
737#683—21no—
738#683—21no—
739#683—21no—
740#683—21no—
741#683—21no—
742#683—21no—
743#683—21no—
744#683—21no—
745#683—21no—
746#683—21no—
747#683—21no—
748#683C2×D411yescharacteristic
749#683C2×D411yescharacteristic
750#683C2×D411yescharacteristic
751#683C2×D411yescharacteristic
752C4×Dic5—21no—
753C4×Dic5—21no—
754C4×Dic5—21no—
755C4×Dic5—21no—
756C4×Dic5—21no—
757C4×Dic5C2411yescharacteristic
758C4×Dic5C2411yescharacteristic
759C2×#168—41no—
760C2×#168—41no—
761C2×#168C2411yescharacteristic
762C2×#168C2411yescharacteristic
763C2×#168C2411yescharacteristic
764C2×#168C2411yescharacteristic
765Dic20—41no—
766Dic20—41no—
767#677—41no—
768#677—41no—
769#676—41no—
770#676—41no—
771C8×D5—41no—
772C8×D5—41no—
773C2×H(5,𝔽2)—51no—
774C23×D4C2×D511yescharacteristic
775C2×#137—51no—
776C2×AGL(1,ℤ/8)—51no—
777C2×AGL(1,ℤ/8)C2×D511yescharacteristic, complemented
778C2×AGL(1,ℤ/8)C2×D511yescharacteristic, complemented
779C2×#135—51no—
780C22×SD16—51no—
781C22×SD16—51no—
782C22×SD16—51no—
783#563—101no—
784#562—101no—
785#556—51no—
786#554—51no—
787#554—101no—
788#553—51no—
789#553—101no—
790#552—51no—
791D4×Q8—51no—
792#548—51no—
793#548—51no—
794#547—51no—
795#546—51no—
796#546—51no—
797#546—51no—
798#546—51no—
799#546—101no—
800#546—101no—
801D42—51no—
802D42—51no—
803D42—51no—
804D42—51no—
805D42—101no—
806D42—101no—
807#542—51no—
808#542—101no—
809#541—51no—
810#539—101no—
811#538—101no—
812#538—101no—
813#537—51no—
814#536—51no—
815#535—51no—
816#535—51no—
817#534—101no—
818#534—101no—
819#525—51no—
820#525—51no—
821#525C2×D511yescharacteristic, complemented
822C2×C22⋊Q8—51no—
823C2×#120—101no—
824C2×#120—101no—
825#518—51no—
826#497—51no—
827#496—51no—
828#495—51no—
829#492—51no—
830#490—51no—
831#489—51no—
832#488—51no—
833#486—51no—
834#485—51no—
835#485—51no—
836#485—51no—
837#485—51no—
838#484—51no—
839#482—51no—
840#482—51no—
841#482—51no—
842#482—51no—
843#481—51no—
844#481—51no—
845#480—51no—
846#478—51no—
847#478—51no—
848#476—51no—
849#474—51no—
850#470—51no—
851#470—51no—
852#469—51no—
853#468—51no—
854#468—51no—
855#468—51no—
856#468—51no—
857#468—51no—
858#467—51no—
859#466—51no—
860#466—51no—
861#465—51no—
862#465—51no—
863#465—51no—
864#465—51no—
865#465—51no—
866#464—51no—
867#464—51no—
868#464—51no—
869#463—51no—
870#463—51no—
871#463—51no—
872#461—51no—
873#461—51no—
874#460—51no—
875#460—51no—
876#460—51no—
877#459—51no—
878#452—51no—
879#452—51no—
880#452—51no—
881#452—51no—
882#452—51no—
883#452—51no—
884#452—51no—
885#451—51no—
886#450—51no—
887#450—51no—
888#450—51no—
889#450—51no—
890#450—51no—
891#450—51no—
892#450—51no—
893#450—51no—
894#450—51no—
895#450—51no—
896#450—51no—
897#450C2×D511yescharacteristic
898#450C2×D511yescharacteristic, complemented
899#450C2×D511yescharacteristic, complemented
900#450C2×D511yescharacteristic, complemented
901#449—51no—
902#449—51no—
903#449—51no—
904#449—51no—
905#449—51no—
906#448—51no—
907#448—51no—
908#448—51no—
909#447—51no—
910#447C2×D511yescharacteristic
911#447C2×D511yescharacteristic, complemented
912#447C2×D511yescharacteristic, complemented
913#447C2×D511yescharacteristic, complemented
914#442—51no—
915#440—51no—
916#440—51no—
917#440—51no—
918C4×SD16—51no—
919C4×SD16—51no—
920C4×SD16—51no—
921C4×D8—51no—
922#436—51no—
923#436—51no—
924#435—51no—
925#435—51no—
926#435—51no—
927#435—51no—
928C8×D4—51no—
929C8×D4—51no—
930#433—51no—
931#433—51no—
932#418—51no—
933#418C2×D511yescharacteristic, complemented
934#418C2×D511yescharacteristic, complemented
935#417—51no—
936#416—51no—
937C2×#102—51no—
938C2×#102—51no—
939C2×#102—51no—
940#408—51no—
941#408—51no—
942#407C2×D511yescharacteristic, complemented
943C2×C22⋊C8—51no—
944C23×C5—24no—
945C23×C5—22no—
946C23×C5—21no—
947C23×C5—21no—
948C23×C5—21no—
949C23×C5—21no—
950C23×C5—21no—
951C23×C5—41no—
952C23×C5—41no—
953C23×C5—42no—
954C23×C5—42no—
955C23×C5—42no—
956C23×C5—42no—
957C23×C5—42no—
958C23×C5—42no—
959C23×C5—42no—
960C23×C5—42no—
961C23×C5—42no—
962C23×C5—81no—
963C23×C5—81no—
964C23×C5—81no—
965C23×C5—81no—
966C23×C5—81no—
967C23×C5—81no—
968C23×C5—81no—
969C23×C5—81no—
970C23×C5—816no—
971C23×C5C22×D411yescharacteristic
972C23×C5C22×D411yescharacteristic
973C23×C5C22×D411yescharacteristic
974C22×D5—21no—
975C22×D5—42no—
976C22×D5—42no—
977C22×D5—81no—
978C22×D5—81no—
979C22×D5—81no—
980C22×D5—81no—
981C22×D5C22×D411yescharacteristic
982C22×D5C22×D411yescharacteristic
983C5×Q8—21no—
984C5×Q8—21no—
985C5×D4—24no—
986C5×D4—21no—
987C5×D4—21no—
988C5×D4—21no—
989C5×D4—21no—
990C5×D4—21no—
991C5×D4—21no—
992C5×D4—21no—
993C5×D4—21no—
994C5×D4—42no—
995C5×D4—42no—
996C5×D4—42no—
997C5×D4—42no—
998C5×D4—42no—
999C5×D4—42no—
1000C5×D4—81no—
1001C5×D4—81no—
1002C5×D4H(5,𝔽2)12yes—
1003C5×D4H(5,𝔽2)12yes—
1004C2×C4×C5—21no—
1005C2×C4×C5—21no—
1006C2×C4×C5—21no—
1007C2×C4×C5—21no—
1008C2×C4×C5—21no—
1009C2×C4×C5—21no—
1010C2×C4×C5—21no—
1011C2×C4×C5—21no—
1012C2×C4×C5—21no—
1013C2×C4×C5—41no—
1014C2×C4×C5—41no—
1015C2×C4×C5—41no—
1016C2×C4×C5—81no—
1017C2×C4×C5C22×D411yescharacteristic
1018C2×C4×C5C22×D411yescharacteristic
1019C2×C4×C5C22×D411yescharacteristic
1020C2×C4×C5C2511yescharacteristic
1021C22⋊D5—22no—
1022C22⋊D5—22no—
1023C22⋊D5—41no—
1024C22⋊D5—41no—
1025C22⋊D5—41no—
1026C22⋊D5—41no—
1027C22⋊D5—42no—
1028C22⋊D5—42no—
1029C22⋊D5—42no—
1030C22⋊D5—42no—
1031C22⋊D5—42no—
1032C22⋊D5—42no—
1033C22⋊D5—42no—
1034C22⋊D5—81no—
1035C22⋊D5—81no—
1036C22⋊D5—81no—
1037C22⋊D5—81no—
1038C22⋊D5—81no—
1039C22⋊D5—81no—
1040C22⋊D5—81no—
1041C22⋊D5—81no—
1042C22⋊D5—81no—
1043C22⋊D5—81no—
1044C2×Dic5—21no—
1045C2×Dic5—21no—
1046C2×Dic5—21no—
1047C2×Dic5—21no—
1048C2×Dic5—21no—
1049C2×Dic5—21no—
1050C2×Dic5—21no—
1051C2×Dic5—42no—
1052C2×Dic5—42no—
1053C2×Dic5—81no—
1054C2×Dic5—81no—
1055C2×Dic5—81no—
1056C2×Dic5—81no—
1057C2×Dic5—81no—
1058C2×Dic5—81no—
1059C2×Dic5—81no—
1060C2×Dic5—81no—
1061C2×Dic5C22×D411yescharacteristic
1062C2×Dic5C22×D411yescharacteristic
1063C2×Dic5C22×D411yescharacteristic
1064C2×Dic5C22×D411yescharacteristic
1065C2×Dic5C22×D411yescharacteristic
1066C2×Dic5C22×D411yescharacteristic
1067D20—21no—
1068D20—21no—
1069D20—41no—
1070C4×D5—21no—
1071C4×D5—21no—
1072C4×D5—21no—
1073C4×D5—21no—
1074C4×D5—42no—
1075C4×D5—81no—
1076C4×D5—81no—
1077Dic10—21no—
1078Dic10—21no—
1079Dic10—21no—
1080Dic10—21no—
1081Dic10—21no—
1082Dic10—21no—
1083Dic10—41no—
1084Dic10—81no—
1085Dic10—81no—
1086Dic10—81no—
1087C5×C8—21no—
1088C5×C8—21no—
1089C5×C8—21no—
1090C5×C8—21no—
1091#168—21no—
1092#168—21no—
1093#168—21no—
1094#168—21no—
1095C25—21no—
1096H(5,𝔽2)—202no—
1097H(5,𝔽2)—202no—
1098C2×#41—51no—
1099C2×#41—51no—
1100C2×#41—51no—
1101C2×#41—51no—
1102C2×#41—51no—
1103C2×#41—101no—
1104C2×#41C22×D511yescharacteristic
1105C22×Q8—51no—
1106C22×Q8—51no—
1107C22×D4—21no—
1108C22×D4—21no—
1109C22×D4—21no—
1110C22×D4—42no—
1111C22×D4—42no—
1112C22×D4—51no—
1113C22×D4—51no—
1114C22×D4—101no—
1115C22×D4—101no—
1116C22×D4—101no—
1117C22×D4—101no—
1118C22×D4—101no—
1119C22×D4—101no—
1120C22×D4—101no—
1121C22×D4C22×D511yescharacteristic
1122C22×D4C22×D511yescharacteristic
1123C22×D4C22×D511yescharacteristic
1124C22×D4C22×D511yescharacteristic
1125C22×D4C22×D511yescharacteristic
1126C22×D4C22×D511yescharacteristic
1127C23×C4C22×D511yescharacteristic
1128#137—202no—
1129AGL(1,ℤ/8)—42no—
1130AGL(1,ℤ/8)—42no—
1131AGL(1,ℤ/8)—202no—
1132#135—202no—
1133C2×Q16—51no—
1134C2×Q16—51no—
1135C2×Q16—51no—
1136C2×SD16—51no—
1137C2×SD16—51no—
1138C2×SD16—51no—
1139C2×SD16—51no—
1140C2×SD16—51no—
1141C2×SD16—51no—
1142C2×SD16—51no—
1143C2×SD16—51no—
1144C2×SD16—51no—
1145C2×SD16—51no—
1146C2×SD16—51no—
1147C2×SD16—51no—
1148C2×SD16—202no—
1149C2×SD16—202no—
1150C2×SD16—202no—
1151C2×SD16C22×D511yescharacteristic
1152C2×SD16C22×D511yescharacteristic
1153C2×SD16C22×D511yescharacteristic
1154C2×SD16C22×D511yescharacteristic
1155C2×D8—51no—
1156C2×D8C22×D511yescharacteristic
1157C2×D8C22×D511yescharacteristic
1158C2×D8C22×D511yescharacteristic
1159C2×D8C22×D511yescharacteristic
1160C2×M16—51no—
1161C2×M16—51no—
1162C2×M16C22×D511yescharacteristic
1163C2×M16C22×D511yescharacteristic
1164C22×C8—51no—
1165C22×C8—51no—
1166C22×C8—51no—
1167C22×C8—51no—
1168C4⋊Q8—51no—
1169C4⋊Q8—51no—
1170C4⋊Q8—101no—
1171C4⋊Q8—101no—
1172#127—51no—
1173#127—51no—
1174#127—101no—
1175#126—101no—
1176#126—101no—
1177#126—101no—
1178#126—101no—
1179#126—101no—
1180#126—101no—
1181#126—101no—
1182#125—51no—
1183#125—101no—
1184#125—101no—
1185#125—101no—
1186#125—101no—
1187#124—51no—
1188#124—51no—
1189#124—51no—
1190#124—101no—
1191#124—101no—
1192#124—101no—
1193#124—101no—
1194#124—101no—
1195#124—101no—
1196#123—21no—
1197#123—51no—
1198#123—51no—
1199#123—101no—
1200#123—101no—
1201#123—101no—
1202#123—101no—
1203#123—101no—
1204#123—101no—
1205#123—101no—
1206#123—101no—
1207#123—101no—
1208#123—101no—
1209#123—101no—
1210#123—101no—
1211C22⋊Q8—51no—
1212C22⋊Q8—51no—
1213C22⋊Q8—51no—
1214C22⋊Q8—51no—
1215C22⋊Q8—51no—
1216C22⋊Q8—51no—
1217C22⋊Q8—51no—
1218C22⋊Q8—51no—
1219C22⋊Q8—51no—
1220C22⋊Q8—51no—
1221C22⋊Q8—51no—
1222C22⋊Q8—101no—
1223C22⋊Q8—101no—
1224C22⋊Q8—101no—
1225C22⋊Q8—101no—
1226C22⋊Q8—101no—
1227C22⋊Q8—101no—
1228C22⋊Q8—101no—
1229C22⋊Q8—101no—
1230C22⋊Q8—101no—
1231C22⋊Q8—101no—
1232C22⋊Q8C22×D511yescharacteristic
1233C22⋊Q8C22×D511yescharacteristic
1234#121—51no—
1235#121—51no—
1236#121—51no—
1237#121—51no—
1238#121—51no—
1239#121—51no—
1240#121—51no—
1241#121—51no—
1242#121—51no—
1243#121—101no—
1244#121—101no—
1245#121—101no—
1246#121—101no—
1247#121—101no—
1248#121—101no—
1249#121—101no—
1250#121—101no—
1251#121—101no—
1252#121—101no—
1253#121—101no—
1254#121—101no—
1255#121—101no—
1256#121—101no—
1257#121—101no—
1258#121—101no—
1259#121—101no—
1260#121C22×D511yescharacteristic
1261#121C22×D511yescharacteristic
1262#120—21no—
1263#120—51no—
1264#120—51no—
1265#120—101no—
1266#120—101no—
1267#120—101no—
1268#120—101no—
1269#120—101no—
1270#120—101no—
1271#120—101no—
1272#120—101no—
1273#120—101no—
1274#120—101no—
1275#120—101no—
1276#120—101no—
1277#120—101no—
1278#120—101no—
1279#120—101no—
1280#120—101no—
1281#120—101no—
1282C4×Q8—51no—
1283C4×Q8—51no—
1284C4×Q8—51no—
1285C4×Q8—101no—
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—51no—
1289C4×D4—51no—
1290C4×D4—51no—
1291C4×D4—51no—
1292C4×D4—51no—
1293C4×D4—51no—
1294C4×D4—51no—
1295C4×D4—51no—
1296C4×D4—51no—
1297C4×D4—101no—
1298C4×D4—101no—
1299C4×D4—101no—
1300C4×D4—101no—
1301C4×D4—101no—
1302C4×D4—101no—
1303C4×D4—101no—
1304C4×D4—101no—
1305C4×D4—101no—
1306#117—51no—
1307#117—51no—
1308#117—51no—
1309#117—101no—
1310#117C22×D511yescharacteristic
1311C2×C4⋊C4—51no—
1312C2×C4⋊C4—51no—
1313C2×C4⋊C4—101no—
1314C2×C4⋊C4—101no—
1315C2×C22⋊C4—101no—
1316C2×C22⋊C4—101no—
1317C2×C22⋊C4—101no—
1318C2×C22⋊C4—101no—
1319C2×C22⋊C4—101no—
1320C2×C22⋊C4—101no—
1321C2×C22⋊C4—101no—
1322#107—51no—
1323#107—51no—
1324#107—51no—
1325#107—51no—
1326#106—51no—
1327#106—51no—
1328#106—51no—
1329#106—51no—
1330C4⋊C8—51no—
1331C4⋊C8—51no—
1332C4⋊C8—51no—
1333C4⋊C8—51no—
1334#103—51no—
1335#103—51no—
1336#103—51no—
1337#103—51no—
1338#103—51no—
1339#103—51no—
1340#103—51no—
1341#103—51no—
1342#103—51no—
1343#103—51no—
1344#102—51no—
1345#102—51no—
1346#102—51no—
1347#102—51no—
1348#102—51no—
1349#102—51no—
1350#102—51no—
1351#102—51no—
1352#102—51no—
1353#102—51no—
1354#102—51no—
1355#102—51no—
1356#102—51no—
1357#102—51no—
1358#102C22×D511yescharacteristic
1359#102C22×D511yescharacteristic
1360#102C22×D511yescharacteristic
1361#102C22×D511yescharacteristic
1362#102C22×D511yescharacteristic
1363#102C22×D511yescharacteristic
1364#102C22×D511yescharacteristic
1365#102C22×D511yescharacteristic
1366C22⋊C8—51no—
1367C22⋊C8—51no—
1368C22⋊C8—51no—
1369C22⋊C8—51no—
1370C22⋊C8—51no—
1371C22⋊C8—51no—
1372C22⋊C8—51no—
1373C22⋊C8—51no—
1374C22⋊C8C22×D511yescharacteristic
1375C22⋊C8C22×D511yescharacteristic
1376C22⋊C8C22×D511yescharacteristic
1377C22⋊C8C22×D511yescharacteristic
1378#97—51no—
1379#97—51no—
1380C4×C8—51no—
1381C4×C8—51no—
1382C22×C5—21no—
1383C22×C5—21no—
1384C22×C5—21no—
1385C22×C5—21no—
1386C22×C5—22no—
1387C22×C5—22no—
1388C22×C5—21no—
1389C22×C5—21no—
1390C22×C5—21no—
1391C22×C5—21no—
1392C22×C5—44no—
1393C22×C5—41no—
1394C22×C5—41no—
1395C22×C5—41no—
1396C22×C5—41no—
1397C22×C5—41no—
1398C22×C5—41no—
1399C22×C5—41no—
1400C22×C5—41no—
1401C22×C5—41no—
1402C22×C5—41no—
1403C22×C5—41no—
1404C22×C5—41no—
1405C22×C5—41no—
1406C22×C5—84no—
1407C22×C5—84no—
1408C22×C5—84no—
1409C22×C5—84no—
1410C22×C5—84no—
1411C22×C5—84no—
1412C22×C5#57712yes—
1413C22×C5C23×D411yescharacteristic
1414C2×D5—21no—
1415C2×D5—21no—
1416C2×D5—21no—
1417C2×D5—21no—
1418C2×D5—21no—
1419C2×D5—21no—
1420C2×D5—41no—
1421C2×D5—41no—
1422C2×D5—41no—
1423C2×D5—162no—
1424C2×D5—162no—
1425C4×C5—21no—
1426C4×C5—21no—
1427C4×C5—21no—
1428C4×C5—41no—
1429C4×C5—41no—
1430C4×C5—41no—
1431C4×C5C2×H(5,𝔽2)11yescharacteristic
1432C4×C5C2×H(5,𝔽2)11yescharacteristic
1433Dic5—21no—
1434Dic5—21no—
1435Dic5—21no—
1436Dic5—21no—
1437Dic5—21no—
1438Dic5—21no—
1439Dic5—41no—
1440Dic5—41no—
1441Dic5—41no—
1442Dic5—41no—
1443Dic5—41no—
1444Dic5—41no—
1445Dic5—41no—
1446C24—21no—
1447C24—21no—
1448C24—21no—
1449C24—21no—
1450C24—21no—
1451C24—21no—
1452C24—44no—
1453C24—82no—
1454C24—82no—
1455C24—101no—
1456C24—101no—
1457C24D4×D511yescharacteristic
1458#41—41no—
1459#41—41no—
1460#41—102no—
1461#41—102no—
1462#41—201no—
1463#41—201no—
1464#41—201no—
1465#41—201no—
1466#41—201no—
1467#41—201no—
1468#41—201no—
1469#41—201no—
1470#41—204no—
1471C2×Q8—51no—
1472C2×Q8—51no—
1473C2×Q8—51no—
1474C2×Q8—51no—
1475C2×Q8—101no—
1476C2×Q8—101no—
1477C2×Q8—101no—
1478C2×Q8—201no—
1479C2×Q8—201no—
1480C2×Q8—201no—
1481C2×Q8—201no—
1482C2×Q8C23×D511yescharacteristic
1483C2×D4—22no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—22no—
1487C2×D4—22no—
1488C2×D4—22no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—41no—
1503C2×D4—41no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—51no—
1508C2×D4—51no—
1509C2×D4—51no—
1510C2×D4—51no—
1511C2×D4—51no—
1512C2×D4—51no—
1513C2×D4—51no—
1514C2×D4—51no—
1515C2×D4—101no—
1516C2×D4—101no—
1517C2×D4—101no—
1518C2×D4—101no—
1519C2×D4—101no—
1520C2×D4—101no—
1521C2×D4—102no—
1522C2×D4—102no—
1523C2×D4—101no—
1524C2×D4—101no—
1525C2×D4—101no—
1526C2×D4—101no—
1527C2×D4—101no—
1528C2×D4—101no—
1529C2×D4—101no—
1530C2×D4—101no—
1531C2×D4—101no—
1532C2×D4—101no—
1533C2×D4—101no—
1534C2×D4—201no—
1535C2×D4—201no—
1536C2×D4—204no—
1537C2×D4—204no—
1538C2×D4—204no—
1539C2×D4—402no—
1540C2×D4—402no—
1541C2×D4—402no—
1542C2×D4—402no—
1543C2×D4C23×D511yescharacteristic
1544C2×D4C23×D511yescharacteristic
1545C2×D4C23×D511yescharacteristic
1546C2×D4C23×D511yescharacteristic
1547C2×D4C23×D511yescharacteristic
1548C22×C4—21no—
1549C22×C4—41no—
1550C22×C4—41no—
1551C22×C4—51no—
1552C22×C4—51no—
1553C22×C4—101no—
1554C22×C4—101no—
1555C22×C4—101no—
1556C22×C4—101no—
1557C22×C4—101no—
1558C22×C4—101no—
1559C22×C4—101no—
1560C22×C4—101no—
1561C22×C4—101no—
1562C22×C4—101no—
1563C22×C4—101no—
1564C22×C4—101no—
1565C22×C4—101no—
1566C22×C4D4×D511yescharacteristic
1567C22×C4D4×D511yescharacteristic
1568C22×C4D4×D511yescharacteristic
1569C22×C4C23×D511yescharacteristic
1570C22×C4C23×D511yescharacteristic
1571C22×C4C23×D511yescharacteristic
1572Q16—201no—
1573Q16—201no—
1574Q16—201no—
1575SD16—22no—
1576SD16—22no—
1577SD16—41no—
1578SD16—41no—
1579SD16—102no—
1580SD16—102no—
1581SD16—102no—
1582SD16—102no—
1583SD16—201no—
1584SD16—201no—
1585SD16—201no—
1586SD16—201no—
1587SD16—201no—
1588SD16—201no—
1589SD16—201no—
1590SD16—201no—
1591D8—22no—
1592D8—22no—
1593D8—41no—
1594D8—41no—
1595D8—201no—
1596M16—41no—
1597M16—41no—
1598M16—201no—
1599M16—201no—
1600C2×C8—51no—
1601C2×C8—51no—
1602C2×C8—51no—
1603C2×C8—51no—
1604C2×C8—201no—
1605C2×C8—201no—
1606C2×C8—201no—
1607C2×C8—201no—
1608C2×C8C23×D511yescharacteristic
1609C2×C8C23×D511yescharacteristic
1610C2×C8C23×D511yescharacteristic
1611C2×C8C23×D511yescharacteristic
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—51no—
1615C4⋊C4—51no—
1616C4⋊C4—51no—
1617C4⋊C4—51no—
1618C4⋊C4—51no—
1619C4⋊C4—51no—
1620C4⋊C4—51no—
1621C4⋊C4—51no—
1622C4⋊C4—51no—
1623C4⋊C4—51no—
1624C4⋊C4—101no—
1625C4⋊C4—101no—
1626C4⋊C4—101no—
1627C4⋊C4—101no—
1628C4⋊C4—101no—
1629C4⋊C4—101no—
1630C4⋊C4—101no—
1631C4⋊C4—101no—
1632C4⋊C4—101no—
1633C4⋊C4—101no—
1634C4⋊C4—101no—
1635C4⋊C4—101no—
1636C4⋊C4—101no—
1637C4⋊C4—101no—
1638C4⋊C4—101no—
1639C4⋊C4—101no—
1640C4⋊C4—101no—
1641C4⋊C4—101no—
1642C4⋊C4—101no—
1643C4⋊C4C23×D511yescharacteristic
1644C4⋊C4C23×D511yescharacteristic
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—51no—
1651C22⋊C4—51no—
1652C22⋊C4—51no—
1653C22⋊C4—51no—
1654C22⋊C4—51no—
1655C22⋊C4—51no—
1656C22⋊C4—51no—
1657C22⋊C4—51no—
1658C22⋊C4—51no—
1659C22⋊C4—51no—
1660C22⋊C4—101no—
1661C22⋊C4—101no—
1662C22⋊C4—101no—
1663C22⋊C4—101no—
1664C22⋊C4—101no—
1665C22⋊C4—101no—
1666C22⋊C4—101no—
1667C22⋊C4—101no—
1668C22⋊C4—101no—
1669C22⋊C4—101no—
1670C22⋊C4—101no—
1671C22⋊C4—101no—
1672C22⋊C4—101no—
1673C22⋊C4—101no—
1674C22⋊C4—101no—
1675C22⋊C4—101no—
1676C22⋊C4—101no—
1677C22⋊C4—101no—
1678C22⋊C4—101no—
1679C22⋊C4—101no—
1680C22⋊C4—101no—
1681C22⋊C4—101no—
1682C22⋊C4—101no—
1683C22⋊C4—101no—
1684C22⋊C4—101no—
1685C22⋊C4—101no—
1686C22⋊C4—101no—
1687C22⋊C4—101no—
1688C22⋊C4—101no—
1689C42—21no—
1690C42—51no—
1691C42—51no—
1692C42—101no—
1693C42—101no—
1694C42—101no—
1695C42—101no—
1696C42—101no—
1697C2×C5—22no—
1698C2×C5—42no—
1699C2×C5—42no—
1700C2×C5—41no—
1701C2×C5—41no—
1702C2×C5—81no—
1703C2×C5—81no—
1704C2×C5—81no—
1705C2×C5#348411yescharacteristic
1706C2×C5C2×#57711yescharacteristic
1707C2×C5#358511yescharacteristic
1708D5—41no—
1709D5—41no—
1710D5—81no—
1711C23—24no—
1712C23—22no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—41no—
1719C23—41no—
1720C23—42no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—42no—
1728C23—42no—
1729C23—51no—
1730C23—51no—
1731C23—81no—
1732C23—81no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—816no—
1740C23—101no—
1741C23—202no—
1742C23—202no—
1743C23—401no—
1744C23—401no—
1745C23—401no—
1746C23—401no—
1747C23C2×D4×D511yescharacteristic
1748C23C2×D4×D511yescharacteristic
1749C23C2×D4×D511yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—101no—
1753Q8—101no—
1754Q8—101no—
1755Q8—101no—
1756Q8—101no—
1757Q8—101no—
1758Q8—201no—
1759Q8—401no—
1760Q8—401no—
1761Q8—401no—
1762D4—24no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—42no—
1776D4—42no—
1777D4—81no—
1778D4—81no—
1779D4—102no—
1780D4—102no—
1781D4—101no—
1782D4—101no—
1783D4—201no—
1784D4—201no—
1785D4—201no—
1786D4—201no—
1787D4—201no—
1788D4—202no—
1789D4—202no—
1790D4—202no—
1791D4—202no—
1792D4—202no—
1793D4—202no—
1794D4—202no—
1795D4—401no—
1796D4—401no—
1797D4—401no—
1798D4—401no—
1799D4—401no—
1800D4—401no—
1801D4—401no—
1802D4—401no—
1803D4—401no—
1804D4—401no—
1805D4#414412yes—
1806D4#414412yes—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—51no—
1820C2×C4—51no—
1821C2×C4—51no—
1822C2×C4—51no—
1823C2×C4—51no—
1824C2×C4—51no—
1825C2×C4—81no—
1826C2×C4—101no—
1827C2×C4—101no—
1828C2×C4—101no—
1829C2×C4—101no—
1830C2×C4—101no—
1831C2×C4—101no—
1832C2×C4—101no—
1833C2×C4—101no—
1834C2×C4—101no—
1835C2×C4—101no—
1836C2×C4—101no—
1837C2×C4—202no—
1838C2×C4—202no—
1839C2×C4—202no—
1840C2×C4—401no—
1841C2×C4—401no—
1842C2×C4—401no—
1843C2×C4—401no—
1844C2×C4—401no—
1845C2×C4—401no—
1846C2×C4—401no—
1847C2×C4—401no—
1848C2×C4—401no—
1849C2×C4—401no—
1850C2×C4C2×D4×D511yescharacteristic
1851C2×C4C2×D4×D511yescharacteristic
1852C2×C4C2×D4×D511yescharacteristic
1853C2×C4C24×D511yescharacteristic
1854C8—21no—
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—101no—
1859C8—101no—
1860C8—101no—
1861C8—101no—
1862C5#6161011yescharacteristic, complemented, Sylow
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—22no—
1872C22—22no—
1873C22—44no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—84no—
1888C22—84no—
1889C22—84no—
1890C22—84no—
1891C22—84no—
1892C22—84no—
1893C22—101no—
1894C22—101no—
1895C22—101no—
1896C22—101no—
1897C22—101no—
1898C22—101no—
1899C22—201no—
1900C22—201no—
1901C22—201no—
1902C22—802no—
1903C22—802no—
1904C22#6610912yes—
1905C22C22×D4×D511yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—101no—
1913C4—101no—
1914C4—101no—
1915C4—101no—
1916C4—101no—
1917C4—101no—
1918C4—201no—
1919C4—201no—
1920C4—201no—
1921C4—201no—
1922C4—201no—
1923C4—201no—
1924C4—201no—
1925C4C2×#414411yescharacteristic
1926C4C2×#414411yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—42no—
1931C2—42no—
1932C2—81no—
1933C2—81no—
1934C2—81no—
1935C2—201no—
1936C2—201no—
1937C2—401no—
1938C2#1061782011yescharacteristic
1939C2C2×#6610911yescharacteristic
1940C2#1061909311yescharacteristic
subgroupG/H
centerC22C22×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3003C2
socleC22×C5C23×D4
hypercenter#3003D5
hypocenterC5#61610
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3003

Complements

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

NH ≅ G/Ntype
1. #10619140C2semidirect
2. #10617958C2semidirect
3. C5×#3003C2semidirect
4. C2×#65507C2semidirect
5. #10615693C2semidirect
6. #10615689C2semidirect
7. #10615685C2semidirect
8. #10615684C2semidirect
9. #10614661C2semidirect
10. #10611902C2semidirect
11. #10611900C2semidirect
12. #10611894C2semidirect
13. #10611889C2semidirect
14. #10611886C2semidirect
15. #10611879C2semidirect
16. #10611873C2semidirect
17. #10611868C2semidirect
18. #10611758C2semidirect
19. #10611756C2semidirect
20. #10611748C2semidirect
21. #10611746C2semidirect
22. #10611741C2semidirect
23. #10611736C2semidirect
24. #10611730C2semidirect
25. #10611723C2semidirect
26. #10610671C2semidirect
27. #10610670C2semidirect
28. #10610666C2semidirect
29. #10610665C2semidirect
30. #10610378C2semidirect
31. #10610366C2semidirect
34. C2×C5×AGL(1,ℤ/8)C22semidirect
35. C2×C5×AGL(1,ℤ/8)C22semidirect
36. C5×#525C22semidirect
39. #66165C22semidirect
40. #66158C22semidirect
58. C22×#687C22semidirect
59. C22×#687C22semidirect
62. C2×#4070C22semidirect
63. C2×#4061C22semidirect
64. C2×D5×SD16C22semidirect
65. C2×#4058C22semidirect
66. C2×#4057C22semidirect
69. #65969C22semidirect
70. #65966C22semidirect
71. #65962C22semidirect
72. #65959C22semidirect
73. #65952C22semidirect
74. #65942C22semidirect
75. #65937C22semidirect
76. #65932C22semidirect
83. #65867C22semidirect
84. #65863C22semidirect
86. C5×#450C22semidirect
87. C5×#450C22semidirect
88. C5×#450C22semidirect
90. C5×#447C22semidirect
91. C5×#447C22semidirect
92. C5×#447C22semidirect
93. C5×#418C22semidirect
94. C5×#418C22semidirect
95. C5×#407C22semidirect
96. #65528C22semidirect
97. #65527C22semidirect
100. #65507C22semidirect
101. #65507C22semidirect
102. #65507C22semidirect
103. #65507C22semidirect
104. #65507C22semidirect
105. #65507C22semidirect
106. C2×#3964C22semidirect
107. C2×#3964C22semidirect
108. C2×C22⋊#168C22semidirect
109. #65464C22semidirect
110. #65463C22semidirect
111. #65462C22semidirect
112. #65460C22semidirect
113. #65459C22semidirect
114. #65459C22semidirect
115. #65458C22semidirect
116. #65456C22semidirect
117. #65455C22semidirect
118. #65453C22semidirect
119. #65452C22semidirect
120. #65451C22semidirect
121. #65451C22semidirect
122. SD16×Dic5C22semidirect
123. #65448C22semidirect
124. #65447C22semidirect
125. #65447C22semidirect
126. #65447C22semidirect
127. #65446C22semidirect
128. #65445C22semidirect
129. #65444C22semidirect
130. #65443C22semidirect
131. #65442C22semidirect
132. #65442C22semidirect
133. #65442C22semidirect
134. #65441C22semidirect
135. #65439C22semidirect
136. D8×Dic5C22semidirect
137. #65426C22semidirect
138. #65426C22semidirect
139. #65423C22semidirect
140. #65423C22semidirect
141. #65417C22semidirect
142. #65417C22semidirect
143. #65416C22semidirect
144. #65416C22semidirect
145. #65340C22semidirect
146. #65337C22semidirect
147. #65336C22semidirect
148. #65334C22semidirect
149. #65330C22semidirect
150. #65327C22semidirect
151. #65326C22semidirect
152. #65324C22semidirect
153. #65292C22semidirect
154. #65285C22semidirect
155. #65073C22semidirect
156. #65072C22semidirect
157. #65072C22semidirect
158. #65069C22semidirect
159. #65069C22semidirect
160. #65068C22semidirect
161. #65067C22semidirect
162. #65067C22semidirect
163. #65066C22semidirect
164. #65065C22semidirect
165. #65065C22semidirect
166. #65063C22semidirect
167. #65061C22semidirect
168. #65060C22semidirect
169. #65059C22semidirect
170. D5×#102C22semidirect
171. #65057C22semidirect
172. #65056C22semidirect
173. #65056C22semidirect
174. #65055C22semidirect
175. #65054C22semidirect
176. #65053C22semidirect
177. #65052C22semidirect
178. #65051C22semidirect
179. #65051C22semidirect
180. #65050C22semidirect
181. #65049C22semidirect
182. #65048C22semidirect
183. #65047C22semidirect
184. #65047C22semidirect
185. #65046C22semidirect
186. #65046C22semidirect
187. #65028C22semidirect
188. #65027C22semidirect
189. #65024C22semidirect
190. #65022C22semidirect
191. #65022C22semidirect
192. #65019C22semidirect
193. #65019C22semidirect
194. #65016C22semidirect
195. #65016C22semidirect
196. #65014C22semidirect
197. #65014C22semidirect
198. #65012C22semidirect
199. #65012C22semidirect
200. #65011C22semidirect
201. #65009C22semidirect
202. #65009C22semidirect
224. C2×Q8×D5C23semidirect
230. C2×#711C23semidirect
280. #4092C23semidirect
281. Q8×Dic5C23semidirect
282. #4090C23semidirect
283. C2×#689C23semidirect
284. C2×#688C23semidirect
308. #4084C23semidirect
318. #4082C23semidirect
333. D4×Dic5C23semidirect
344. C2×#687C23semidirect
345. C2×#686C23semidirect
383. C2×Dic20C23semidirect
384. C2×Dic20C23semidirect
385. C2×#677C23semidirect
386. C2×#677C23semidirect
387. C2×#676C23semidirect
388. C2×#676C23semidirect
389. C2×C8×D5C23semidirect
390. C2×C8×D5C23semidirect
392. #4043C23semidirect
393. #4043C23semidirect
396. #4038C23semidirect
397. D5×C4⋊C4C23semidirect
399. #4036C23semidirect
404. #4034C23semidirect
405. #4033C23semidirect
406. #4033C23semidirect
443. #3967C23semidirect
444. #3967C23semidirect
453. #3964C23semidirect
454. #3964C23semidirect
459. #3953C23semidirect
460. #3953C23semidirect
461. #3952C23semidirect
462. #3952C23semidirect
463. #3952C23semidirect
464. #3952C23semidirect
465. #3950C23semidirect
466. #3950C23semidirect
467. #3949C23semidirect
468. #3949C23semidirect
469. #3948C23semidirect
470. #3948C23semidirect
471. #3948C23semidirect
472. #3948C23semidirect
473. #3948C23semidirect
474. #3948C23semidirect
475. #3947C23semidirect
476. #3947C23semidirect
477. #3946C23semidirect
478. #3946C23semidirect
479. #3946C23semidirect
480. #3946C23semidirect
481. C8×Dic5C23semidirect
482. C8×Dic5C23semidirect
483. #3942C23semidirect
484. #3942C23semidirect
485. #3941C23semidirect
486. #3941C23semidirect
487. #3940C23semidirect
488. #3940C23semidirect
489. #3939C23semidirect
490. #3939C23semidirect
519. #3003D5semidirect
777. C2×AGL(1,ℤ/8)C2×D5semidirect
778. C2×AGL(1,ℤ/8)C2×D5semidirect
821. #525C2×D5semidirect
898. #450C2×D5semidirect
899. #450C2×D5semidirect
900. #450C2×D5semidirect
911. #447C2×D5semidirect
912. #447C2×D5semidirect
913. #447C2×D5semidirect
933. #418C2×D5semidirect
934. #418C2×D5semidirect
942. #407C2×D5semidirect
1862. C5#61610semidirect

Maximal subgroups

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

subgroupindex
#106191402
#106179582
C5×#30032
C2×#655072
#106156932
#106156892
#106156852
#106156842
#106146612
#106119022
#106119002
#106118942
#106118892
#106118862
#106118792
#106118732
#106118682
#106117582
#106117562
#106117482
#106117462
#106117412
#106117362
#106117302
#106117232
#106106712
#106106702
#106106662
#106106652
#106103782
#106103662
#616105