Finite Group Databasebeta

← #14262329

Subgroups — #14262329

Order 1792.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90616C211yesmaximal, characteristic, complemented
2C23×#1157C211yesmaximal, characteristic, complemented
3C2×C7×#525C211yesmaximal, characteristic, complemented
4#11744336C211yesmaximal, characteristic, complemented
5C2×#90482C211yesmaximal, characteristic, complemented
6#11743110C214yesmaximal, complemented
7#11743109C214yesmaximal, complemented
8#11743108C212yesmaximal, complemented
9#11743107C212yesmaximal, complemented
10#11743105C218yesmaximal, complemented
11#11743103C214yesmaximal, complemented
12D7×#525C214yesmaximal, complemented
13#11743091C212yesmaximal, complemented
14#11743090C212yesmaximal, complemented
15#11743080C214yesmaximal, complemented
16#11743053C214yesmaximal, complemented
17#11743017C214yesmaximal, complemented
18#11742987C214yesmaximal, complemented
19D4×#1157C218yesmaximal, complemented
20#11742803C211yesmaximal, characteristic, complemented
21#11742799C211yesmaximal, characteristic, complemented
22C22×C7×#41C2211yescharacteristic, complemented
23C24×C4×C7C2211yescharacteristic, complemented
24C23×C22⋊D7C2212yescomplemented
25#90616—216no—
26C2×#6554C2212yescomplemented
27C2×#6554C2212yescomplemented
28C2×#6553C2212yescomplemented
29C2×#6553C2212yescomplemented
30C2×D7×#41C2214yescomplemented
31C2×D7×#41C2214yescomplemented
32C2×#6551C2212yescomplemented
33C2×#6548C2212yescomplemented
34C2×#6548C2214yescomplemented
35C22×#1157—216no—
36C22×#1157C2211yescharacteristic
37C22×#1157C2214yescomplemented
38C22×#1157C2211yescharacteristic, complemented
39C22×#1157C2212yescomplemented
40C22×#1157C2211yescharacteristic, complemented
41C22×#1157C2212yescomplemented
42C22×#1157C2214yescomplemented
43C22×#1157C2214yescomplemented
44C22×#1157C2211yescharacteristic, complemented
45C22×#1157C2214yescomplemented
46C22×#1157C2211yescharacteristic, complemented
47C22×#1157C2214yescomplemented
48C23×D28C2211yescharacteristic, complemented
49C23×C4×D7C2212yescomplemented
50C23×Dic14C2211yescharacteristic, complemented
51C7×#525C2212yescomplemented
52C7×#525C2212yescomplemented
53C7×#525C2212yescomplemented
54C7×#525C2212yescomplemented
55C7×#525C2214yescomplemented
56C7×#525C2214yescomplemented
57C2×C7×#123C2212yescomplemented
58C2×C7×C22⋊Q8C2212yescomplemented
59C2×C7×#121C2212yescomplemented
60C2×C7×#120C2212yescomplemented
61C2×C4×C7×D4C2214yescomplemented
62C2×C7×#117C2211yescharacteristic, complemented
63C2×#6516C2212yescomplemented
64#90524C2214yescomplemented
65#90523C2214yescomplemented
66#90521C2212yescomplemented
67#90519C2214yescomplemented
68#90516C2212yescomplemented
69#90507C2212yescomplemented
70#90496C2212yescomplemented
71#90495C2214yescomplemented
72D4×C22⋊D7C22116yescomplemented
73#90482C2212yescomplemented
74#90482C2212yescomplemented
75#90482C2214yescomplemented
76#90482C2214yescomplemented
77#90482C2212yescomplemented
78#90482C2212yescomplemented
79#90482C2214yescomplemented
80C2×#6493C2212yescomplemented
81C2×#6492C2212yescomplemented
82C2×C4×C22⋊D7C2214yescomplemented
83C2×#6489C2211yescharacteristic, complemented
84C2×#6487C2212yescomplemented
85#90347C2218yescomplemented
86#90346C22116yescomplemented
87#90345C22116yescomplemented
88#90344C2218yescomplemented
89D7×#123C2218yescomplemented
90#90339C2218yescomplemented
91#90324C2218yescomplemented
92#90323C2218yescomplemented
93#90322C2218yescomplemented
94#90321C2218yescomplemented
95#90320C2218yescomplemented
96#90319C2218yescomplemented
97#90318C2218yescomplemented
98D7×C22⋊Q8C2218yescomplemented
99#90303C2218yescomplemented
100#90300C2218yescomplemented
101#90299C2218yescomplemented
102#90298C2218yescomplemented
103#90297C2218yescomplemented
104D7×#121C2218yescomplemented
105#90290C2218yescomplemented
106#90289C2218yescomplemented
107#90283C2218yescomplemented
108#90282C22116yescomplemented
109#90281C22116yescomplemented
110#90280C2218yescomplemented
111D7×#120C2218yescomplemented
112#90277C2218yescomplemented
113#90244C2218yescomplemented
114#90243C2218yescomplemented
115#90243C2218yescomplemented
116#90242C2218yescomplemented
117#90241C2218yescomplemented
118#90241C2218yescomplemented
119D4×D28C2218yescomplemented
120#90239C22116yescomplemented
121#90238C22116yescomplemented
122#90238C22116yescomplemented
123C4×D4×D7C22116yescomplemented
124D4×Dic14C2218yescomplemented
125#90217C2212yescomplemented
126#90217C2212yescomplemented
127#90216C2212yescomplemented
128#90216C2212yescomplemented
129#90215C2214yescomplemented
130#90215C2214yescomplemented
131#90214C2214yescomplemented
132#90213C2214yescomplemented
133#90212C2212yescomplemented
134D7×#117C2214yescomplemented
135#90207C2212yescomplemented
136#90201C2214yescomplemented
137#90198C22116yescomplemented
138#90195C2214yescomplemented
139#90184C2214yescomplemented
140#90181C22116yescomplemented
141#90181C22116yescomplemented
142#90177C2214yescomplemented
143#90168C2214yescomplemented
144C4×#1157C2214yescomplemented
145#62811—71nomaximal, Sylow
146C25×C7C2311yescharacteristic
147C24×D7C2312yes—
148C2×C7×#41—28no—
149C2×C7×#41C2312yes—
150C2×C7×#41C2312yes—
151C2×C7×#41C2312yescomplemented
152C2×C7×#41C2312yescomplemented
153C22×C7×Q8C2311yescharacteristic, complemented
154C22×C7×D4C2312yes—
155C22×C7×D4C2314yes—
156C22×C7×D4C2311yescharacteristic, complemented
157C23×C4×C7—28no—
158C23×C4×C7C2312yes—
159C23×C4×C7C2312yes—
160C23×C4×C7C2311yescharacteristic
161C23×C4×C7C2312yes—
162C23×C4×C7C2312yes—
163C23×C4×C7C2311yescharacteristic
164C23×C4×C7C2311yescharacteristic
165C23×C4×C7C2311yescharacteristic
166C23×C4×C7C2311yescharacteristic
167C23×C4×C7C2311yescharacteristic
168C23×C4×C7C2312yescomplemented
169C22×C22⋊D7—216no—
170C22×C22⋊D7C2318yes—
171C22×C22⋊D7C2312yes—
172C22×C22⋊D7C2312yes—
173C22×C22⋊D7C2312yes—
174C22×C22⋊D7C2318yes—
175C22×C22⋊D7C2312yes—
176C22×C22⋊D7C2314yes—
177C22×C22⋊D7C2312yes—
178C22×C22⋊D7C2318yescomplemented
179C23×Dic7C2312yes—
180#6554—216no—
181#6554—216no—
182#6553—216no—
183#6553—216no—
184D7×#41—232no—
185D7×#41—232no—
186#6551—216no—
187C2×#1161C2314yescomplemented
188C2×#1161C2314yescomplemented
189C2×Q8×D7C2314yescomplemented
190C2×Q8×D7C2314yescomplemented
191#6548—232no—
192#6548—216no—
193C2×#1159C2318yes—
194C2×#1159C2318yescomplemented
195C2×#1159C2314yescomplemented
196C2×#1159C2314yescomplemented
197C2×D4×D7C2318yes—
198C2×D4×D7C23116yes—
199C2×D4×D7C2318yescomplemented
200C2×D4×D7C2314yescomplemented
201C2×D4×D7C2314yescomplemented
202C2×#1157—28no—
203C2×#1157—28no—
204C2×#1157—216no—
205C2×#1157—232no—
206C2×#1157—232no—
207C2×#1157—232no—
208C2×#1157—232no—
209C2×#1157—232no—
210C2×#1157—28no—
211C2×#1157—216no—
212C2×#1157—28no—
213C2×#1157D4116yescomplemented
214C2×#1157C2312yes—
215C2×#1157C2318yes—
216C2×#1157C2312yes—
217C2×#1157C2312yes—
218C2×#1157C2312yes—
219C2×#1157C2312yes—
220C2×#1157C2312yes—
221C2×#1157C2318yes—
222C2×#1157C2314yes—
223C2×#1157C2314yes—
224C2×#1157C2314yes—
225C2×#1157C2318yes—
226C2×#1157C2314yes—
227C2×#1157C2318yes—
228C2×#1157C2312yes—
229C2×#1157C2312yes—
230C2×#1157C2312yes—
231C2×#1157C2312yes—
232C2×#1157C2312yescomplemented
233C2×#1157C2318yescomplemented
234C2×#1157C2312yescomplemented
235C2×#1157C2318yescomplemented
236C2×#1157C2314yescomplemented
237C2×#1157C2314yescomplemented
238C22×D28—28no—
239C22×D28C2311yescharacteristic
240C22×D28C2314yes—
241C22×D28C2314yes—
242C22×D28C2312yes—
243C22×D28C2311yescharacteristic
244C22×D28C2311yescharacteristic, complemented
245C22×D28C2314yescomplemented
246C22×C4×D7—216no—
247C22×C4×D7C2312yes—
248C22×C4×D7C2318yes—
249C22×C4×D7C2318yes—
250C22×C4×D7C2312yes—
251C22×C4×D7C2312yes—
252C22×C4×D7C2312yes—
253C22×C4×D7C2312yescomplemented
254C22×C4×D7C2318yescomplemented
255C22×Dic14—28no—
256C22×Dic14C2311yescharacteristic
257C22×Dic14C2314yes—
258C22×Dic14C2314yes—
259C22×Dic14C2312yes—
260C22×Dic14C2311yescharacteristic
261C22×Dic14C2311yescharacteristic, complemented
262C22×Dic14C2314yescomplemented
263C7×#123C2314yes—
264C7×#123C2314yes—
265C7×#123C2318yescomplemented
266C7×C22⋊Q8C2314yes—
267C7×C22⋊Q8C2314yes—
268C7×C22⋊Q8C2314yescomplemented
269C7×C22⋊Q8C2314yescomplemented
270C7×#121C2314yes—
271C7×#121C2314yes—
272C7×#121C2314yescomplemented
273C7×#121C2314yescomplemented
274C7×#120C2314yes—
275C7×#120C2314yes—
276C7×#120C2318yes—
277C4×C7×D4C2318yes—
278C4×C7×D4C2318yes—
279C4×C7×D4C2318yescomplemented
280C4×C7×D4C2318yescomplemented
281C7×#117C2312yes—
282C7×#117C2312yes—
283C7×#117C2312yescomplemented
284C7×#117C2312yescomplemented
285C2×C7×C4⋊C4C2312yescomplemented
286C2×C7×C4⋊C4C2314yescomplemented
287C2×C7×C22⋊C4C2312yes—
288C2×C7×C22⋊C4C2314yes—
289C2×C7×C22⋊C4C2314yescomplemented
290C2×C42×C7C2312yescomplemented
291#6516C2318yes—
292#6516C2314yes—
293#6516C2314yes—
294#6516C2318yescomplemented
295C2×C22⋊Dic7C2312yes—
296C2×C22⋊Dic7C2314yes—
297#6510C2314yescomplemented
298#6509C2318yescomplemented
299#6507C2314yescomplemented
300#6503C23116yescomplemented
301#6503C2314yescomplemented
302#6502C23116yes—
303#6502C23116yescomplemented
304#6502C23116yescomplemented
305#6501C23116yescomplemented
306#6501C2318yescomplemented
307#6500C23116yes—
308#6500C2318yes—
309#6500C23116yescomplemented
310#6499C2314yescomplemented
311#6498C2318yes—
312D4×Dic7C23116yes—
313#6493C2314yes—
314#6493C2314yes—
315#6493C23116yescomplemented
316#6493C2314yescomplemented
317#6493C2314yescomplemented
318#6493C2318yescomplemented
319#6492C2314yes—
320#6492C2314yes—
321#6492C2318yescomplemented
322#6492C2318yescomplemented
323C4×C22⋊D7C2318yes—
324C4×C22⋊D7C2318yes—
325C4×C22⋊D7C23116yescomplemented
326C4×C22⋊D7C2318yescomplemented
327C4×C22⋊D7C2318yescomplemented
328C4×C22⋊D7C23116yescomplemented
329C2×(C2×D7)⋊C4C2314yescomplemented
330#6489C2312yes—
331#6489C2312yes—
332#6489C2312yescomplemented
333#6489C2312yescomplemented
334C2×C4⋊Dic7C2312yescomplemented
335#6487C2314yes—
336#6487C2314yes—
337#6487C2314yescomplemented
338#6487C2314yescomplemented
339#6487C2318yescomplemented
340C2×Dic7⋊C4C2314yescomplemented
341C2×C4×Dic7C2312yescomplemented
342#6460C2318yescomplemented
343#6460C2318yescomplemented
344#6459C23116yescomplemented
345#6459C23116yescomplemented
346#6458C23116yescomplemented
347#6458C2318yescomplemented
348#6458C2318yescomplemented
349#6457C23116yescomplemented
350#6457C23116yescomplemented
351#6456C2318yescomplemented
352#6456C23116yescomplemented
353#6455C2318yescomplemented
354D7×C4⋊C4C2318yescomplemented
355D7×C4⋊C4C23116yescomplemented
356#6451C23116yescomplemented
357#6450C2318yescomplemented
358#6449C2318yes—
359#6449C2318yescomplemented
360#6448C23116yescomplemented
361#6448C23116yescomplemented
362#6447C23116yescomplemented
363#6447C23116yescomplemented
364#6447C23116yescomplemented
365#6447C23116yescomplemented
366#6446C23116yescomplemented
367#6446C23116yescomplemented
368#6445C23116yes—
369#6445C2318yes—
370#6445C23116yescomplemented
371#6445C2318yescomplemented
372(C22⋊D7)⋊C4C23116yes—
373(C22⋊D7)⋊C4C23116yescomplemented
374(C22⋊D7)⋊C4C23116yescomplemented
375D7×C22⋊C4C2318yes—
376D7×C22⋊C4C23116yes—
377D7×C22⋊C4C23116yescomplemented
378#6441C23116yes—
379#6441C23116yescomplemented
380#6440C2318yes—
381#6438C2314yescomplemented
382#6438C2314yescomplemented
383#6437C2314yescomplemented
384C4×D28C2318yescomplemented
385C4×D28C23116yescomplemented
386#6435C2318yescomplemented
387C42×D7C2318yescomplemented
388#6432C2314yescomplemented
389C4×Dic14C2318yescomplemented
390C2×#585—71no—
391C23×#41—71no—
392#3489—74no—
393#3489—74no—
394#3488—74no—
395#3488—74no—
396#3487—72no—
397#3486—72no—
398#3485—72no—
399#3485—74no—
400#3484—72no—
401#3484—74no—
402D4×#41—78no—
403D4×#41—78no—
404#3449—71no—
405#3449—74no—
406#3449—71no—
407C2×#525—71no—
408C2×#525—74no—
409C2×#525D711yescharacteristic, complemented
410#3428—71no—
411C24×C7—24no—
412C24×C7—44no—
413C24×C7C2411yescharacteristic
414C24×C7C2412yes—
415C24×C7C2412yes—
416C24×C7C2411yescharacteristic
417C24×C7C2412yes—
418C24×C7C2411yescharacteristic
419C23×D7—28no—
420C23×D7—48no—
421C23×D7C2418yes—
422C23×D7C2418yes—
423C23×D7C2412yes—
424C23×D7C2412yes—
425C23×D7C2412yes—
426C7×#41—28no—
427C7×#41—28no—
428C7×#41—28no—
429C7×#41—28no—
430C2×C7×Q8—24no—
431C2×C7×Q8C2412yes—
432C2×C7×Q8C2412yes—
433C2×C7×D4—28no—
434C2×C7×D4—24no—
435C2×C7×D4—48no—
436C2×C7×D4C2418yes—
437C2×C7×D4C2414yes—
438C2×C7×D4C2412yes—
439C2×C7×D4C2412yes—
440C2×C7×D4C2414yes—
441C2×C7×D4C2418yes—
442C22×C4×C7—24no—
443C22×C4×C7—24no—
444C22×C4×C7—24no—
445C22×C4×C7—24no—
446C22×C4×C7—24no—
447C22×C4×C7—28no—
448C22×C4×C7—28no—
449C22×C4×C7—28no—
450C22×C4×C7—28no—
451C22×C4×C7—28no—
452C22×C4×C7C2×D418yescomplemented
453C22×C4×C7C2412yes—
454C22×C4×C7C2412yes—
455C22×C4×C7C2412yes—
456C22×C4×C7C2414yes—
457C22×C4×C7C2412yes—
458C22×C4×C7C2412yes—
459C22×C4×C7C2412yes—
460C22×C4×C7C2412yes—
461C22×C4×C7C2414yes—
462C22×C4×C7C2412yes—
463C22×C4×C7C2412yes—
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2412yes—
467C22×C4×C7C2412yes—
468C22×C4×C7C2414yes—
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C2×C22⋊D7—28no—
476C2×C22⋊D7—28no—
477C2×C22⋊D7—28no—
478C2×C22⋊D7—232no—
479C2×C22⋊D7—232no—
480C2×C22⋊D7—232no—
481C2×C22⋊D7—28no—
482C2×C22⋊D7—48no—
483C2×C22⋊D7C2×D4116yescomplemented
484C2×C22⋊D7C2418yes—
485C2×C22⋊D7C2414yes—
486C2×C22⋊D7C2414yes—
487C2×C22⋊D7C2418yes—
488C2×C22⋊D7C2418yes—
489C2×C22⋊D7C2418yes—
490C2×C22⋊D7C2418yes—
491C2×C22⋊D7C2414yes—
492C2×C22⋊D7C2414yes—
493C2×C22⋊D7C24116yes—
494C2×C22⋊D7C2418yes—
495C2×C22⋊D7C2414yes—
496C2×C22⋊D7C2414yes—
497C22×Dic7—28no—
498C22×Dic7C2418yes—
499C22×Dic7C2418yes—
500C22×Dic7C2412yes—
501C22×Dic7C2412yes—
502C22×Dic7C2414yes—
503C22×Dic7C2412yes—
504#1161—216no—
505#1161—216no—
506Q8×D7—216no—
507Q8×D7—216no—
508#1159—232no—
509#1159—232no—
510#1159—216no—
511#1159—216no—
512D4×D7—232no—
513D4×D7—232no—
514D4×D7—216no—
515D4×D7—216no—
516D4×D7—432no—
517#1157—28no—
518#1157—28no—
519#1157—28no—
520#1157—28no—
521#1157—28no—
522#1157—28no—
523#1157—28no—
524#1157—28no—
525#1157—232no—
526#1157—232no—
527#1157—232no—
528#1157—216no—
529#1157—216no—
530#1157—216no—
531#1157—232no—
532#1157—232no—
533#1157—232no—
534#1157—216no—
535#1157—216no—
536#1157—216no—
537#1157C2×D4116yescomplemented
538#1157C2×D4116yescomplemented
539#1157C2×D4116yescomplemented
540#1157C2×D4116yescomplemented
541C2×D28—28no—
542C2×D28—24no—
543C2×D28—24no—
544C2×D28—216no—
545C2×D28—216no—
546C2×D28—216no—
547C2×D28C2×D418yescomplemented
548C2×D28C2412yes—
549C2×D28C2412yes—
550C2×D28C2418yes—
551C2×D28C2418yes—
552C2×D28C2412yes—
553C2×D28C2412yes—
554C2×D28C24116yes—
555C2×D28C2412yes—
556C2×D28C2412yes—
557C2×C4×D7—28no—
558C2×C4×D7—28no—
559C2×C4×D7—28no—
560C2×C4×D7—28no—
561C2×C4×D7—232no—
562C2×C4×D7—232no—
563C2×C4×D7—232no—
564C2×C4×D7C2×D4116yescomplemented
565C2×C4×D7C2414yes—
566C2×C4×D7C2414yes—
567C2×C4×D7C2418yes—
568C2×C4×D7C2418yes—
569C2×C4×D7C2418yes—
570C2×C4×D7C2418yes—
571C2×C4×D7C2414yes—
572C2×C4×D7C2414yes—
573C2×C4×D7C24116yes—
574C2×C4×D7C2414yes—
575C2×C4×D7C2414yes—
576C2×Dic14—24no—
577C2×Dic14—24no—
578C2×Dic14—28no—
579C2×Dic14—216no—
580C2×Dic14—216no—
581C2×Dic14—216no—
582C2×Dic14C2×D418yescomplemented
583C2×Dic14C2412yes—
584C2×Dic14C2412yes—
585C2×Dic14C2418yes—
586C2×Dic14C2418yes—
587C2×Dic14C2412yes—
588C2×Dic14C2412yes—
589C2×Dic14C2412yes—
590C2×Dic14C2412yes—
591C7×C4⋊C4C2414yes—
592C7×C4⋊C4C2418yes—
593C7×C4⋊C4C2414yes—
594C7×C4⋊C4C2418yes—
595C7×C22⋊C4C2414yes—
596C7×C22⋊C4C2418yes—
597C7×C22⋊C4C2418yes—
598C7×C22⋊C4C2418yes—
599C7×C22⋊C4C2414yes—
600C7×C22⋊C4C2418yes—
601C42×C7C2414yes—
602C42×C7C2414yes—
603C22⋊Dic7C2414yes—
604C22⋊Dic7C2418yes—
605C22⋊Dic7C24116yes—
606C22⋊Dic7C2418yes—
607C22⋊Dic7C2414yes—
608(C2×D7)⋊C4C24116yes—
609(C2×D7)⋊C4C24116yes—
610(C2×D7)⋊C4C24116yes—
611(C2×D7)⋊C4C24116yes—
612(C2×D7)⋊C4C2418yes—
613(C2×D7)⋊C4C2418yes—
614C4⋊Dic7C2414yes—
615C4⋊Dic7C24116yes—
616C4⋊Dic7C2414yes—
617Dic7⋊C4C24116yes—
618Dic7⋊C4C24116yes—
619Dic7⋊C4C2418yes—
620Dic7⋊C4C2418yes—
621C4×Dic7C24116yes—
622C4×Dic7C2414yes—
623C4×Dic7C2414yes—
624#585—1416no—
625C2×2−1+4—72no—
626C2×2−1+4—72no—
627C2×2−1+4—72no—
628C2×H(5,𝔽2)—72no—
629C2×H(5,𝔽2)—72no—
630C2×H(5,𝔽2)—74no—
631C2×H(5,𝔽2)—72no—
632C22×#41—74no—
633C22×#41—74no—
634C22×#41—71no—
635C22×#41—72no—
636C22×#41—71no—
637C22×#41—74no—
638C22×#41—74no—
639C22×#41—71no—
640C22×#41—72no—
641C22×#41—71no—
642C22×#41—74no—
643C22×#41—74no—
644C22×#41—71no—
645C22×#41—74no—
646C22×#41—1416no—
647C22×#41C2×D711yescharacteristic, complemented
648C23×Q8—71no—
649C23×D4—72no—
650C23×D4—71no—
651C24×C4—72no—
652C24×C4C2×D711yescharacteristic, complemented
653#550—78no—
654#550—78no—
655D4×Q8—78no—
656D4×Q8—78no—
657#548—78no—
658#548—78no—
659#548—78no—
660#548—78no—
661#547—716no—
662#547—78no—
663#547—78no—
664#547—716no—
665#546—716no—
666#546—78no—
667#546—78no—
668#546—716no—
669#546—78no—
670#546—78no—
671#546—716no—
672#546—716no—
673D42—716no—
674D42—78no—
675D42—716no—
676D42—78no—
677#537—74no—
678#537—78no—
679#537—78no—
680#537—74no—
681#536—72no—
682#536—72no—
683#536—78no—
684#536—78no—
685#536—72no—
686#536—72no—
687#535—72no—
688#535—72no—
689#535—78no—
690#535—78no—
691#535—72no—
692#535—72no—
693#534—74no—
694#534—78no—
695#534—78no—
696#534—74no—
697#532—74no—
698#532—716no—
699#532—74no—
700#525—74no—
701#525—72no—
702#525—72no—
703#525—74no—
704#525—72no—
705#525—72no—
706#525—74no—
707#525—74no—
708#525—78no—
709#525—78no—
710#525—78no—
711#525—78no—
712#525—716no—
713#525—716no—
714#525—74no—
715#525—74no—
716#525C2×D712yescomplemented
717#525C2×D712yescomplemented
718#525C2×D712yescomplemented
719#525C2×D712yescomplemented
720#525C2×D714yescomplemented
721#525C2×D714yescomplemented
722C2×#123—72no—
723C2×#123—78no—
724C2×#123C2×D712yescomplemented
725C2×C22⋊Q8—72no—
726C2×C22⋊Q8—78no—
727C2×C22⋊Q8C2×D712yescomplemented
728C2×#121—72no—
729C2×#121—78no—
730C2×#121C2×D712yescomplemented
731C2×#120—72no—
732C2×#120—78no—
733C2×#120C2×D712yescomplemented
734#520—74no—
735#520—74no—
736#519—72no—
737#518—72no—
738#518—74no—
739C4×#41—74no—
740C4×#41—74no—
741C2×C4×D4—74no—
742C2×C4×D4—716no—
743C2×C4×D4C2×D714yescomplemented
744C2×#117—71no—
745C2×#117—74no—
746C2×#117C2×D711yescharacteristic, complemented
747C23×C7—22no—
748C23×C7—24no—
749C23×C7—24no—
750C23×C7—24no—
751C23×C7—22no—
752C23×C7—24no—
753C23×C7—24no—
754C23×C7—24no—
755C23×C7—42no—
756C23×C7—42no—
757C23×C7—42no—
758C23×C7—42no—
759C23×C7—44no—
760C23×C7—416no—
761C23×C7C22×D414yes—
762C23×C7C2514yes—
763C23×C7C2512yes—
764C23×C7C2511yescharacteristic
765C23×C7C2511yescharacteristic
766C23×C7C2511yescharacteristic
767C23×C7C2512yes—
768C22×D7—24no—
769C22×D7—216no—
770C22×D7—24no—
771C22×D7—216no—
772C22×D7—216no—
773C22×D7—44no—
774C22×D7—48no—
775C22×D7—44no—
776C22×D7—416no—
777C22×D7—44no—
778C22×D7—432no—
779C22×D7C22×D418yes—
780C22×D7C2514yes—
781C22×D7C2514yes—
782C22×D7C2514yes—
783C7×Q8—24no—
784C7×Q8—24no—
785C7×D4—28no—
786C7×D4—28no—
787C7×D4—216no—
788C7×D4—24no—
789C7×D4—24no—
790C7×D4—48no—
791C2×C4×C7—22no—
792C2×C4×C7—22no—
793C2×C4×C7—24no—
794C2×C4×C7—24no—
795C2×C4×C7—24no—
796C2×C4×C7—24no—
797C2×C4×C7—24no—
798C2×C4×C7—28no—
799C2×C4×C7—24no—
800C2×C4×C7—24no—
801C2×C4×C7—28no—
802C2×C4×C7—24no—
803C2×C4×C7—24no—
804C2×C4×C7—24no—
805C2×C4×C7—24no—
806C2×C4×C7—44no—
807C2×C4×C7C22×D414yes—
808C2×C4×C7C22×D414yes—
809C2×C4×C7C22×D414yes—
810C2×C4×C7C22×D414yes—
811C2×C4×C7C22×D414yes—
812C2×C4×C7C22×D414yes—
813C2×C4×C7C2518yes—
814C2×C4×C7C2512yes—
815C2×C4×C7C2514yes—
816C2×C4×C7C2512yes—
817C2×C4×C7C2511yescharacteristic
818C2×C4×C7C2511yescharacteristic
819C2×C4×C7C2511yescharacteristic
820C2×C4×C7C2511yescharacteristic
821C22⋊D7—28no—
822C22⋊D7—28no—
823C22⋊D7—28no—
824C22⋊D7—28no—
825C22⋊D7—216no—
826C22⋊D7—216no—
827C22⋊D7—216no—
828C22⋊D7—216no—
829C22⋊D7—216no—
830C22⋊D7—416no—
831C22⋊D7—48no—
832C22⋊D7C22×D4116yes—
833C22⋊D7C22×D4116yes—
834C2×Dic7—24no—
835C2×Dic7—24no—
836C2×Dic7—216no—
837C2×Dic7—216no—
838C2×Dic7—44no—
839C2×Dic7C22×D418yes—
840C2×Dic7C2518yes—
841C2×Dic7C2514yes—
842C2×Dic7C2514yes—
843C2×Dic7C2514yes—
844D28—216no—
845D28—216no—
846D28—24no—
847D28—24no—
848D28—24no—
849D28—24no—
850D28—416no—
851D28C22×D418yes—
852D28C22×D418yes—
853C4×D7—216no—
854C4×D7—216no—
855C4×D7—28no—
856C4×D7—28no—
857C4×D7—28no—
858C4×D7—28no—
859C4×D7—216no—
860C4×D7—216no—
861C4×D7—416no—
862C4×D7C22×D4116yes—
863C4×D7C22×D4116yes—
864Dic14—24no—
865Dic14—24no—
866Dic14—24no—
867Dic14—24no—
868Dic14—216no—
869Dic14—216no—
870Dic14C22×D418yes—
871Dic14C22×D418yes—
872C25—72no—
873C25C22×D711yescharacteristic
8742−1+4—1416no—
8752−1+4—1416no—
8762−1+4—1416no—
877H(5,𝔽2)—1432no—
878H(5,𝔽2)—1416no—
879H(5,𝔽2)—1416no—
880H(5,𝔽2)—1416no—
881C2×#41—28no—
882C2×#41—74no—
883C2×#41—74no—
884C2×#41—78no—
885C2×#41—74no—
886C2×#41—78no—
887C2×#41—74no—
888C2×#41—716no—
889C2×#41—72no—
890C2×#41—72no—
891C2×#41—72no—
892C2×#41—72no—
893C2×#41—72no—
894C2×#41—78no—
895C2×#41—72no—
896C2×#41—72no—
897C2×#41—78no—
898C2×#41—72no—
899C2×#41—72no—
900C2×#41—72no—
901C2×#41—78no—
902C2×#41—72no—
903C2×#41—72no—
904C2×#41—74no—
905C2×#41—74no—
906C2×#41—78no—
907C2×#41—78no—
908C2×#41—74no—
909C2×#41—78no—
910C2×#41—74no—
911C2×#41—74no—
912C2×#41—74no—
913C2×#41—1416no—
914C2×#41—1416no—
915C2×#41—148no—
916C2×#41—148no—
917C2×#41—1432no—
918C2×#41—1432no—
919C2×#41—1432no—
920C2×#41—1432no—
921C2×#41—1432no—
922C2×#41—1432no—
923C2×#41—1432no—
924C2×#41—148no—
925C2×#41—148no—
926C2×#41C22×D712yes—
927C2×#41C22×D712yes—
928C2×#41C22×D712yescomplemented
929C2×#41C22×D712yescomplemented
930C22×Q8—74no—
931C22×Q8—74no—
932C22×Q8—71no—
933C22×Q8—71no—
934C22×Q8—72no—
935C22×Q8—71no—
936C22×Q8—74no—
937C22×Q8—74no—
938C22×Q8—74no—
939C22×Q8—148no—
940C22×Q8C22×D711yescharacteristic, complemented
941C22×D4—72no—
942C22×D4—72no—
943C22×D4—72no—
944C22×D4—72no—
945C22×D4—72no—
946C22×D4—78no—
947C22×D4—78no—
948C22×D4—78no—
949C22×D4—74no—
950C22×D4—78no—
951C22×D4—74no—
952C22×D4—78no—
953C22×D4—74no—
954C22×D4—716no—
955C22×D4—71no—
956C22×D4—71no—
957C22×D4—72no—
958C22×D4—71no—
959C22×D4—74no—
960C22×D4—74no—
961C22×D4—74no—
962C22×D4—148no—
963C22×D4—1416no—
964C22×D4C22×D712yes—
965C22×D4C22×D714yes—
966C22×D4C22×D711yescharacteristic, complemented
967C23×C4—28no—
968C23×C4—72no—
969C23×C4—72no—
970C23×C4—78no—
971C23×C4—78no—
972C23×C4—72no—
973C23×C4—78no—
974C23×C4—72no—
975C23×C4—72no—
976C23×C4—72no—
977C23×C4—1416no—
978C23×C4C22×D712yes—
979C23×C4C22×D712yes—
980C23×C4C22×D712yes—
981C23×C4C22×D712yes—
982C23×C4C22×D711yescharacteristic
983C23×C4C22×D711yescharacteristic
984C23×C4C22×D711yescharacteristic
985C23×C4C22×D711yescharacteristic
986C23×C4C22×D711yescharacteristic
987C23×C4C22×D711yescharacteristic
988C23×C4C22×D712yescomplemented
989C4⋊Q8—74no—
990C4⋊Q8—716no—
991C4⋊Q8—74no—
992#127—716no—
993#127—74no—
994#127—74no—
995#124—74no—
996#124—74no—
997#124—716no—
998#124—716no—
999#124—74no—
1000#124—74no—
1001#123—78no—
1002#123—74no—
1003#123—74no—
1004#123—78no—
1005#123—78no—
1006#123—716no—
1007#123—716no—
1008#123—78no—
1009#123—716no—
1010#123—716no—
1011#123—78no—
1012#123C22×D714yes—
1013#123C22×D714yes—
1014#123C22×D718yescomplemented
1015C22⋊Q8—78no—
1016C22⋊Q8—74no—
1017C22⋊Q8—74no—
1018C22⋊Q8—74no—
1019C22⋊Q8—74no—
1020C22⋊Q8—78no—
1021C22⋊Q8—78no—
1022C22⋊Q8—716no—
1023C22⋊Q8—716no—
1024C22⋊Q8—78no—
1025C22⋊Q8—716no—
1026C22⋊Q8—716no—
1027C22⋊Q8C22×D714yes—
1028C22⋊Q8C22×D714yes—
1029C22⋊Q8C22×D714yescomplemented
1030C22⋊Q8C22×D714yescomplemented
1031#121—78no—
1032#121—716no—
1033#121—716no—
1034#121—716no—
1035#121—716no—
1036#121—74no—
1037#121—74no—
1038#121—74no—
1039#121—74no—
1040#121—78no—
1041#121—716no—
1042#121—78no—
1043#121—78no—
1044#121—716no—
1045#121—716no—
1046#121—716no—
1047#121—716no—
1048#121—716no—
1049#121C22×D714yes—
1050#121C22×D714yes—
1051#121C22×D714yescomplemented
1052#121C22×D714yescomplemented
1053#120—74no—
1054#120—74no—
1055#120—78no—
1056#120—78no—
1057#120—78no—
1058#120—716no—
1059#120—716no—
1060#120—78no—
1061#120—716no—
1062#120—716no—
1063#120—78no—
1064#120C22×D714yes—
1065#120C22×D714yes—
1066#120C22×D718yes—
1067C4×Q8—78no—
1068C4×Q8—78no—
1069C4×D4—716no—
1070C4×D4—78no—
1071C4×D4—716no—
1072C4×D4—78no—
1073C4×D4—78no—
1074C4×D4—78no—
1075C4×D4—716no—
1076C4×D4—716no—
1077C4×D4—78no—
1078C4×D4—716no—
1079C4×D4—716no—
1080C4×D4—716no—
1081C4×D4—716no—
1082C4×D4—78no—
1083C4×D4C22×D718yes—
1084C4×D4C22×D718yes—
1085C4×D4C22×D718yescomplemented
1086C4×D4C22×D718yescomplemented
1087#117—72no—
1088#117—72no—
1089#117—72no—
1090#117—72no—
1091#117—78no—
1092#117—78no—
1093#117—78no—
1094#117C22×D712yes—
1095#117C22×D712yes—
1096#117C22×D712yescomplemented
1097#117C22×D712yescomplemented
1098C2×C4⋊C4—72no—
1099C2×C4⋊C4—74no—
1100C2×C4⋊C4—78no—
1101C2×C4⋊C4—716no—
1102C2×C4⋊C4C22×D712yescomplemented
1103C2×C4⋊C4C22×D714yescomplemented
1104C2×C22⋊C4—72no—
1105C2×C22⋊C4—74no—
1106C2×C22⋊C4—74no—
1107C2×C22⋊C4—78no—
1108C2×C22⋊C4—716no—
1109C2×C22⋊C4—716no—
1110C2×C22⋊C4C22×D712yes—
1111C2×C22⋊C4C22×D714yes—
1112C2×C22⋊C4C22×D714yescomplemented
1113C2×C42—72no—
1114C2×C42—78no—
1115C2×C42C22×D712yescomplemented
1116C22×C7—28no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—22no—
1121C22×C7—22no—
1122C22×C7—24no—
1123C22×C7—22no—
1124C22×C7—22no—
1125C22×C7—28no—
1126C22×C7—22no—
1127C22×C7—44no—
1128C22×C7—48no—
1129C22×C7—48no—
1130C22×C7—44no—
1131C22×C7—84no—
1132C22×C7C23×D412yes—
1133C22×C7C23×D412yes—
1134C22×C7C23×D412yes—
1135C22×C7#58514yescomplemented
1136C22×C7C2611yescharacteristic
1137C2×D7—28no—
1138C2×D7—24no—
1139C2×D7—24no—
1140C2×D7—28no—
1141C2×D7—28no—
1142C2×D7—48no—
1143C2×D7—432no—
1144C2×D7—48no—
1145C2×D7—816no—
1146C2×D7—84no—
1147C2×D7C23×D418yes—
1148C4×C7—22no—
1149C4×C7—24no—
1150C4×C7—22no—
1151C4×C7—28no—
1152C4×C7C23×D412yes—
1153C4×C7C23×D412yes—
1154C4×C7C23×D412yes—
1155C4×C7C23×D412yes—
1156Dic7—24no—
1157Dic7—24no—
1158Dic7—28no—
1159Dic7C23×D418yes—
1160C24—24no—
1161C24—44no—
1162C24—72no—
1163C24—78no—
1164C24—78no—
1165C24—72no—
1166C24—72no—
1167C24—148no—
1168C24—288no—
1169C24C23×D711yescharacteristic
1170C24C23×D712yes—
1171C24C23×D712yes—
1172C24C23×D712yes—
1173C24C23×D711yescharacteristic
1174C24C23×D711yescharacteristic
1175#41—28no—
1176#41—28no—
1177#41—28no—
1178#41—28no—
1179#41—716no—
1180#41—716no—
1181#41—716no—
1182#41—716no—
1183#41—1432no—
1184#41—1432no—
1185#41—1432no—
1186#41—1432no—
1187#41—1432no—
1188#41—1416no—
1189#41—1416no—
1190#41—1432no—
1191#41—1416no—
1192#41—1416no—
1193#41—1416no—
1194#41—1416no—
1195#41—1432no—
1196#41—1416no—
1197#41—1416no—
1198#41—1432no—
1199#41—1416no—
1200#41—1416no—
1201#41—148no—
1202#41—148no—
1203#41—148no—
1204#41—148no—
1205#41—148no—
1206#41—148no—
1207#41—148no—
1208#41—148no—
1209C2×Q8—24no—
1210C2×Q8—78no—
1211C2×Q8—72no—
1212C2×Q8—72no—
1213C2×Q8—72no—
1214C2×Q8—78no—
1215C2×Q8—78no—
1216C2×Q8—72no—
1217C2×Q8—72no—
1218C2×Q8—72no—
1219C2×Q8—148no—
1220C2×Q8—1416no—
1221C2×Q8—1416no—
1222C2×Q8—1416no—
1223C2×Q8—1416no—
1224C2×Q8—1416no—
1225C2×Q8—144no—
1226C2×Q8—144no—
1227C2×Q8C23×D712yes—
1228C2×Q8C23×D712yes—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—48no—
1232C2×D4—716no—
1233C2×D4—74no—
1234C2×D4—74no—
1235C2×D4—78no—
1236C2×D4—74no—
1237C2×D4—78no—
1238C2×D4—78no—
1239C2×D4—74no—
1240C2×D4—74no—
1241C2×D4—74no—
1242C2×D4—78no—
1243C2×D4—78no—
1244C2×D4—716no—
1245C2×D4—78no—
1246C2×D4—78no—
1247C2×D4—72no—
1248C2×D4—72no—
1249C2×D4—78no—
1250C2×D4—78no—
1251C2×D4—72no—
1252C2×D4—72no—
1253C2×D4—72no—
1254C2×D4—72no—
1255C2×D4—716no—
1256C2×D4—1416no—
1257C2×D4—1416no—
1258C2×D4—1416no—
1259C2×D4—148no—
1260C2×D4—1416no—
1261C2×D4—148no—
1262C2×D4—1432no—
1263C2×D4—1416no—
1264C2×D4—1432no—
1265C2×D4—1432no—
1266C2×D4—1432no—
1267C2×D4—1432no—
1268C2×D4—148no—
1269C2×D4—148no—
1270C2×D4—148no—
1271C2×D4—144no—
1272C2×D4—144no—
1273C2×D4—2832no—
1274C2×D4—288no—
1275C2×D4C23×D718yes—
1276C2×D4C23×D714yes—
1277C2×D4C23×D714yes—
1278C2×D4C23×D712yes—
1279C2×D4C23×D712yes—
1280C2×D4C23×D718yes—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—72no—
1292C22×C4—716no—
1293C22×C4—74no—
1294C22×C4—74no—
1295C22×C4—72no—
1296C22×C4—78no—
1297C22×C4—78no—
1298C22×C4—72no—
1299C22×C4—74no—
1300C22×C4—78no—
1301C22×C4—78no—
1302C22×C4—78no—
1303C22×C4—78no—
1304C22×C4—74no—
1305C22×C4—74no—
1306C22×C4—74no—
1307C22×C4—74no—
1308C22×C4—716no—
1309C22×C4—148no—
1310C22×C4—1432no—
1311C22×C4—1432no—
1312C22×C4—1432no—
1313C22×C4—148no—
1314C22×C4—148no—
1315C22×C4—148no—
1316C22×C4—148no—
1317C22×C4D4×D718yescomplemented
1318C22×C4C23×D712yes—
1319C22×C4C23×D712yes—
1320C22×C4C23×D712yes—
1321C22×C4C23×D712yes—
1322C22×C4C23×D712yes—
1323C22×C4C23×D712yes—
1324C22×C4C23×D714yes—
1325C22×C4C23×D712yes—
1326C22×C4C23×D712yes—
1327C22×C4C23×D712yes—
1328C22×C4C23×D711yescharacteristic
1329C22×C4C23×D711yescharacteristic
1330C22×C4C23×D712yes—
1331C22×C4C23×D714yes—
1332C22×C4C23×D712yes—
1333C22×C4C23×D714yes—
1334C22×C4C23×D711yescharacteristic
1335C22×C4C23×D711yescharacteristic
1336C22×C4C23×D711yescharacteristic
1337C22×C4C23×D711yescharacteristic
1338C22×C4C23×D711yescharacteristic
1339C22×C4C23×D711yescharacteristic
1340C4⋊C4—78no—
1341C4⋊C4—716no—
1342C4⋊C4—716no—
1343C4⋊C4—78no—
1344C4⋊C4—74no—
1345C4⋊C4—74no—
1346C4⋊C4—716no—
1347C4⋊C4C23×D714yes—
1348C4⋊C4C23×D718yes—
1349C4⋊C4C23×D714yes—
1350C4⋊C4C23×D718yes—
1351C22⋊C4—74no—
1352C22⋊C4—78no—
1353C22⋊C4—74no—
1354C22⋊C4—716no—
1355C22⋊C4—78no—
1356C22⋊C4—78no—
1357C22⋊C4—716no—
1358C22⋊C4—716no—
1359C22⋊C4—78no—
1360C22⋊C4—716no—
1361C22⋊C4—716no—
1362C22⋊C4C23×D714yes—
1363C22⋊C4C23×D718yes—
1364C22⋊C4C23×D718yes—
1365C22⋊C4C23×D714yes—
1366C22⋊C4C23×D718yes—
1367C22⋊C4C23×D718yes—
1368C42—716no—
1369C42—74no—
1370C42—74no—
1371C42C23×D714yes—
1372C42C23×D714yes—
1373C2×C7—22no—
1374C2×C7—24no—
1375C2×C7—22no—
1376C2×C7—22no—
1377C2×C7—44no—
1378C2×C7—42no—
1379C2×C7C24×D411yescharacteristic
1380C2×C7C2×#58512yes—
1381D7—28no—
1382D7—44no—
1383D7—44no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—24no—
1388C23—22no—
1389C23—24no—
1390C23—24no—
1391C23—24no—
1392C23—42no—
1393C23—42no—
1394C23—42no—
1395C23—42no—
1396C23—44no—
1397C23—416no—
1398C23—74no—
1399C23—78no—
1400C23—74no—
1401C23—74no—
1402C23—1416no—
1403C23—1416no—
1404C23—144no—
1405C23—1416no—
1406C23—144no—
1407C23—284no—
1408C23—288no—
1409C23—284no—
1410C23—284no—
1411C23—2816no—
1412C23—2832no—
1413C23C2×D4×D714yes—
1414C23C24×D714yes—
1415C23C24×D712yes—
1416C23C24×D711yescharacteristic
1417C23C24×D711yescharacteristic
1418C23C24×D711yescharacteristic
1419C23C24×D712yes—
1420Q8—24no—
1421Q8—24no—
1422Q8—78no—
1423Q8—78no—
1424Q8—1416no—
1425Q8—1416no—
1426Q8—144no—
1427Q8—144no—
1428Q8—144no—
1429Q8—144no—
1430D4—28no—
1431D4—28no—
1432D4—216no—
1433D4—24no—
1434D4—24no—
1435D4—48no—
1436D4—716no—
1437D4—716no—
1438D4—78no—
1439D4—78no—
1440D4—1416no—
1441D4—1416no—
1442D4—1416no—
1443D4—1416no—
1444D4—1416no—
1445D4—1416no—
1446D4—148no—
1447D4—148no—
1448D4—148no—
1449D4—148no—
1450D4—1416no—
1451D4—144no—
1452D4—144no—
1453D4—144no—
1454D4—144no—
1455D4—2816no—
1456D4—2816no—
1457D4—288no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—28no—
1472C2×C4—28no—
1473C2×C4—44no—
1474C2×C4—74no—
1475C2×C4—78no—
1476C2×C4—716no—
1477C2×C4—716no—
1478C2×C4—78no—
1479C2×C4—74no—
1480C2×C4—74no—
1481C2×C4—1416no—
1482C2×C4—1416no—
1483C2×C4—1416no—
1484C2×C4—1416no—
1485C2×C4—1416no—
1486C2×C4—1416no—
1487C2×C4—144no—
1488C2×C4—144no—
1489C2×C4—148no—
1490C2×C4—148no—
1491C2×C4—148no—
1492C2×C4—148no—
1493C2×C4—2816no—
1494C2×C4—284no—
1495C2×C4C2×D4×D714yes—
1496C2×C4C2×D4×D714yes—
1497C2×C4C2×D4×D714yes—
1498C2×C4C2×D4×D714yes—
1499C2×C4C2×D4×D714yes—
1500C2×C4C2×D4×D714yes—
1501C2×C4C24×D718yes—
1502C2×C4C24×D712yes—
1503C2×C4C24×D714yes—
1504C2×C4C24×D712yes—
1505C2×C4C24×D711yescharacteristic
1506C2×C4C24×D711yescharacteristic
1507C2×C4C24×D711yescharacteristic
1508C2×C4C24×D711yescharacteristic
1509C7#6281111yescharacteristic, complemented, Sylow
1510C22—28no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—24no—
1518C22—28no—
1519C22—22no—
1520C22—22no—
1521C22—44no—
1522C22—48no—
1523C22—48no—
1524C22—44no—
1525C22—78no—
1526C22—84no—
1527C22—148no—
1528C22—144no—
1529C22—144no—
1530C22—148no—
1531C22—148no—
1532C22—288no—
1533C22—2832no—
1534C22—288no—
1535C22—564no—
1536C22—5616no—
1537C22C22×D4×D712yes—
1538C22C22×D4×D712yes—
1539C22C22×D4×D712yes—
1540C22#9061614yescomplemented
1541C22C25×D711yescharacteristic
1542C4—22no—
1543C4—22no—
1544C4—24no—
1545C4—28no—
1546C4—78no—
1547C4—144no—
1548C4—144no—
1549C4—148no—
1550C4C22×D4×D712yes—
1551C4C22×D4×D712yes—
1552C4C22×D4×D712yes—
1553C4C22×D4×D712yes—
1554C2—22no—
1555C2—24no—
1556C2—22no—
1557C2—22no—
1558C2—42no—
1559C2—44no—
1560C2—148no—
1561C2—284no—
1562C2—284no—
1563C2C23×D4×D711yescharacteristic
1564C2C2×#9061612yes—
subgroupG/H
centerC2×C4C24×D7
commutator, socle, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C7×#525C2
hypercenterC2×#525D7
hypocenterC7#62811
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#90616C2semidirect
2. C23×#1157C2semidirect
3. C2×C7×#525C2semidirect
4. #11744336C2semidirect
5. C2×#90482C2semidirect
6. #11743110C2semidirect
7. #11743109C2semidirect
8. #11743108C2semidirect
9. #11743107C2semidirect
10. #11743105C2semidirect
11. #11743103C2semidirect
12. D7×#525C2semidirect
13. #11743091C2semidirect
14. #11743090C2semidirect
15. #11743080C2semidirect
16. #11743053C2semidirect
17. #11743017C2semidirect
18. #11742987C2semidirect
19. D4×#1157C2semidirect
20. #11742803C2semidirect
21. #11742799C2semidirect
22. C22×C7×#41C22semidirect
23. C24×C4×C7C22semidirect
24. C23×C22⋊D7C22semidirect
26. C2×#6554C22semidirect
27. C2×#6554C22semidirect
28. C2×#6553C22semidirect
29. C2×#6553C22semidirect
30. C2×D7×#41C22semidirect
31. C2×D7×#41C22semidirect
32. C2×#6551C22semidirect
33. C2×#6548C22semidirect
34. C2×#6548C22semidirect
37. C22×#1157C22semidirect
38. C22×#1157C22semidirect
39. C22×#1157C22semidirect
40. C22×#1157C22semidirect
41. C22×#1157C22semidirect
42. C22×#1157C22semidirect
43. C22×#1157C22semidirect
44. C22×#1157C22semidirect
45. C22×#1157C22semidirect
46. C22×#1157C22semidirect
47. C22×#1157C22semidirect
48. C23×D28C22semidirect
49. C23×C4×D7C22semidirect
50. C23×Dic14C22semidirect
51. C7×#525C22semidirect
52. C7×#525C22semidirect
53. C7×#525C22semidirect
54. C7×#525C22semidirect
55. C7×#525C22semidirect
56. C7×#525C22semidirect
57. C2×C7×#123C22semidirect
58. C2×C7×C22⋊Q8C22semidirect
59. C2×C7×#121C22semidirect
60. C2×C7×#120C22semidirect
61. C2×C4×C7×D4C22semidirect
62. C2×C7×#117C22semidirect
63. C2×#6516C22semidirect
64. #90524C22semidirect
65. #90523C22semidirect
66. #90521C22semidirect
67. #90519C22semidirect
68. #90516C22semidirect
69. #90507C22semidirect
70. #90496C22semidirect
71. #90495C22semidirect
72. D4×C22⋊D7C22semidirect
73. #90482C22semidirect
74. #90482C22semidirect
75. #90482C22semidirect
76. #90482C22semidirect
77. #90482C22semidirect
78. #90482C22semidirect
79. #90482C22semidirect
80. C2×#6493C22semidirect
81. C2×#6492C22semidirect
82. C2×C4×C22⋊D7C22semidirect
83. C2×#6489C22semidirect
84. C2×#6487C22semidirect
85. #90347C22semidirect
86. #90346C22semidirect
87. #90345C22semidirect
88. #90344C22semidirect
89. D7×#123C22semidirect
90. #90339C22semidirect
91. #90324C22semidirect
92. #90323C22semidirect
93. #90322C22semidirect
94. #90321C22semidirect
95. #90320C22semidirect
96. #90319C22semidirect
97. #90318C22semidirect
98. D7×C22⋊Q8C22semidirect
99. #90303C22semidirect
100. #90300C22semidirect
101. #90299C22semidirect
102. #90298C22semidirect
103. #90297C22semidirect
104. D7×#121C22semidirect
105. #90290C22semidirect
106. #90289C22semidirect
107. #90283C22semidirect
108. #90282C22semidirect
109. #90281C22semidirect
110. #90280C22semidirect
111. D7×#120C22semidirect
112. #90277C22semidirect
113. #90244C22semidirect
114. #90243C22semidirect
115. #90243C22semidirect
116. #90242C22semidirect
117. #90241C22semidirect
118. #90241C22semidirect
119. D4×D28C22semidirect
120. #90239C22semidirect
121. #90238C22semidirect
122. #90238C22semidirect
123. C4×D4×D7C22semidirect
124. D4×Dic14C22semidirect
125. #90217C22semidirect
126. #90217C22semidirect
127. #90216C22semidirect
128. #90216C22semidirect
129. #90215C22semidirect
130. #90215C22semidirect
131. #90214C22semidirect
132. #90213C22semidirect
133. #90212C22semidirect
134. D7×#117C22semidirect
135. #90207C22semidirect
136. #90201C22semidirect
137. #90198C22semidirect
138. #90195C22semidirect
139. #90184C22semidirect
140. #90181C22semidirect
141. #90181C22semidirect
142. #90177C22semidirect
143. #90168C22semidirect
144. C4×#1157C22semidirect
151. C2×C7×#41C23semidirect
152. C2×C7×#41C23semidirect
153. C22×C7×Q8C23semidirect
156. C22×C7×D4C23semidirect
168. C23×C4×C7C23semidirect
178. C22×C22⋊D7C23semidirect
187. C2×#1161C23semidirect
188. C2×#1161C23semidirect
189. C2×Q8×D7C23semidirect
190. C2×Q8×D7C23semidirect
194. C2×#1159C23semidirect
195. C2×#1159C23semidirect
196. C2×#1159C23semidirect
199. C2×D4×D7C23semidirect
200. C2×D4×D7C23semidirect
201. C2×D4×D7C23semidirect
213. C2×#1157D4semidirect
232. C2×#1157C23semidirect
233. C2×#1157C23semidirect
234. C2×#1157C23semidirect
235. C2×#1157C23semidirect
236. C2×#1157C23semidirect
237. C2×#1157C23semidirect
244. C22×D28C23semidirect
245. C22×D28C23semidirect
253. C22×C4×D7C23semidirect
254. C22×C4×D7C23semidirect
261. C22×Dic14C23semidirect
262. C22×Dic14C23semidirect
265. C7×#123C23semidirect
268. C7×C22⋊Q8C23semidirect
269. C7×C22⋊Q8C23semidirect
272. C7×#121C23semidirect
273. C7×#121C23semidirect
279. C4×C7×D4C23semidirect
280. C4×C7×D4C23semidirect
283. C7×#117C23semidirect
284. C7×#117C23semidirect
285. C2×C7×C4⋊C4C23semidirect
286. C2×C7×C4⋊C4C23semidirect
289. C2×C7×C22⋊C4C23semidirect
290. C2×C42×C7C23semidirect
294. #6516C23semidirect
297. #6510C23semidirect
298. #6509C23semidirect
299. #6507C23semidirect
300. #6503C23semidirect
301. #6503C23semidirect
303. #6502C23semidirect
304. #6502C23semidirect
305. #6501C23semidirect
306. #6501C23semidirect
309. #6500C23semidirect
310. #6499C23semidirect
315. #6493C23semidirect
316. #6493C23semidirect
317. #6493C23semidirect
318. #6493C23semidirect
321. #6492C23semidirect
322. #6492C23semidirect
325. C4×C22⋊D7C23semidirect
326. C4×C22⋊D7C23semidirect
327. C4×C22⋊D7C23semidirect
328. C4×C22⋊D7C23semidirect
329. C2×(C2×D7)⋊C4C23semidirect
332. #6489C23semidirect
333. #6489C23semidirect
334. C2×C4⋊Dic7C23semidirect
337. #6487C23semidirect
338. #6487C23semidirect
339. #6487C23semidirect
340. C2×Dic7⋊C4C23semidirect
341. C2×C4×Dic7C23semidirect
342. #6460C23semidirect
343. #6460C23semidirect
344. #6459C23semidirect
345. #6459C23semidirect
346. #6458C23semidirect
347. #6458C23semidirect
348. #6458C23semidirect
349. #6457C23semidirect
350. #6457C23semidirect
351. #6456C23semidirect
352. #6456C23semidirect
353. #6455C23semidirect
354. D7×C4⋊C4C23semidirect
355. D7×C4⋊C4C23semidirect
356. #6451C23semidirect
357. #6450C23semidirect
359. #6449C23semidirect
360. #6448C23semidirect
361. #6448C23semidirect
362. #6447C23semidirect
363. #6447C23semidirect
364. #6447C23semidirect
365. #6447C23semidirect
366. #6446C23semidirect
367. #6446C23semidirect
370. #6445C23semidirect
371. #6445C23semidirect
373. (C22⋊D7)⋊C4C23semidirect
374. (C22⋊D7)⋊C4C23semidirect
377. D7×C22⋊C4C23semidirect
379. #6441C23semidirect
381. #6438C23semidirect
382. #6438C23semidirect
383. #6437C23semidirect
384. C4×D28C23semidirect
385. C4×D28C23semidirect
386. #6435C23semidirect
387. C42×D7C23semidirect
388. #6432C23semidirect
389. C4×Dic14C23semidirect
409. C2×#525D7semidirect
452. C22×C4×C7C2×D4semidirect
483. C2×C22⋊D7C2×D4semidirect
537. #1157C2×D4semidirect
538. #1157C2×D4semidirect
539. #1157C2×D4semidirect
540. #1157C2×D4semidirect
547. C2×D28C2×D4semidirect
564. C2×C4×D7C2×D4semidirect
582. C2×Dic14C2×D4semidirect
647. C22×#41C2×D7semidirect
652. C24×C4C2×D7semidirect
716. #525C2×D7semidirect
717. #525C2×D7semidirect
718. #525C2×D7semidirect
719. #525C2×D7semidirect
720. #525C2×D7semidirect
721. #525C2×D7semidirect
724. C2×#123C2×D7semidirect
727. C2×C22⋊Q8C2×D7semidirect
730. C2×#121C2×D7semidirect
733. C2×#120C2×D7semidirect
743. C2×C4×D4C2×D7semidirect
746. C2×#117C2×D7semidirect
928. C2×#41C22×D7semidirect
929. C2×#41C22×D7semidirect
940. C22×Q8C22×D7semidirect
966. C22×D4C22×D7semidirect
988. C23×C4C22×D7semidirect
1014. #123C22×D7semidirect
1029. C22⋊Q8C22×D7semidirect
1030. C22⋊Q8C22×D7semidirect
1051. #121C22×D7semidirect
1052. #121C22×D7semidirect
1085. C4×D4C22×D7semidirect
1086. C4×D4C22×D7semidirect
1096. #117C22×D7semidirect
1097. #117C22×D7semidirect
1102. C2×C4⋊C4C22×D7semidirect
1103. C2×C4⋊C4C22×D7semidirect
1112. C2×C22⋊C4C22×D7semidirect
1115. C2×C42C22×D7semidirect
1135. C22×C7#585semidirect
1317. C22×C4D4×D7semidirect
1509. C7#62811semidirect
1540. C22#90616semidirect

Maximal subgroups

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

subgroupindex
C2×#906162
C23×#11572
C2×C7×#5252
#117443362
C2×#904822
#117431102
#117431092
#117431082
#117431072
#117431052
#117431032
D7×#5252
#117430912
#117430902
#117430802
#117430532
#117430172
#117429872
D4×#11572
#117428032
#117427992
#628117