Finite Group Databasebeta

← #13561338

Subgroups — #13561338

Order 1792.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90252C211yesmaximal, characteristic, complemented
2C2×#90251C211yesmaximal, characteristic, complemented
3C7×#2290C211yesmaximal, characteristic, complemented
4#11739722C211yesmaximal, characteristic, complemented
5#11739720C211yesmaximal, characteristic, complemented
6#11739525C211yesmaximal, characteristic, complemented
7#11739522C211yesmaximal, characteristic, complemented
8#11733363C211yesmaximal, characteristic, complemented
9#11733358C211yesmaximal, characteristic, complemented
10#11733124C211yesmaximal, characteristic, complemented
11#11733123C211yesmaximal, characteristic, complemented
12#11732833C211yesmaximal, characteristic, complemented
13#11732619C211yesmaximal, characteristic, complemented
14#11732608C211yesmaximal, characteristic, complemented
15#11732597C211yesmaximal, characteristic, complemented
16#11732363C211yesmaximal, characteristic, complemented
17#11732355C211yesmaximal, characteristic, complemented
18#11732244C211yesmaximal, characteristic, complemented
19#11732241C211yesmaximal, characteristic, complemented
20#11732080C211yesmaximal, characteristic, complemented
21#11731976C211yesmaximal, characteristic, complemented
22#11731974C211yesmaximal, characteristic, complemented
23#11731954C211yesmaximal, characteristic, complemented
24#11731258C211yesmaximal, characteristic, complemented
25#11731180C211yesmaximal, characteristic, complemented
26#11731057C211yesmaximal, characteristic, complemented
27#11731056C211yesmaximal, characteristic, complemented
28#11731053C211yesmaximal, characteristic, complemented
29#11731050C211yesmaximal, characteristic, complemented
30#11730871C211yesmaximal, characteristic, complemented
31#11730848C211yesmaximal, characteristic, complemented
32C2×C4×C7×D4C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic
34C22×C42×C7C2211yescharacteristic, complemented
35C2×#6502C2211yescharacteristic
36C2×#6501C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6499C2211yescharacteristic
39C2×#6493C2211yescharacteristic
40C2×#6493C2211yescharacteristic
41C2×#6492C2211yescharacteristic
42C2×#6492C2211yescharacteristic
43C2×#6492C2211yescharacteristic, complemented
44C2×C4×C22⋊D7C2211yescharacteristic
45C22×(C2×D7)⋊C4C2211yescharacteristic
46C2×#6487C2211yescharacteristic
47C2×#6487C2211yescharacteristic, complemented
48#90252—28no—
49#90251—28no—
50C2×#6461C2211yescharacteristic
51C2×#6460C2211yescharacteristic, complemented
52C2×#6460C2211yescharacteristic, complemented
53C2×#6457C2211yescharacteristic
54C2×#6451C2211yescharacteristic, complemented
55C2×#6448C2211yescharacteristic
56C2×#6448C2211yescharacteristic
57C2×#6448C2211yescharacteristic, complemented
58C2×#6447C2211yescharacteristic
59C2×#6445C2211yescharacteristic
60C2×#6445C2211yescharacteristic
61C2×#6442C2211yescharacteristic
62C2×#6442C2211yescharacteristic, complemented
63C2×#6441C2211yescharacteristic
64C2×#6439C2211yescharacteristic
65C2×#6438C2211yescharacteristic
66C2×#6438C2211yescharacteristic
67C2×#6435C2211yescharacteristic, complemented
68C2×C4×Dic14C2211yescharacteristic, complemented
69C7×#388C2211yescharacteristic
70C7×#388C2211yescharacteristic
71C7×#387C2211yescharacteristic, complemented
72C7×#387C2211yescharacteristic, complemented
73C7×#386C2211yescharacteristic
74C7×#386C2211yescharacteristic
75C7×#385C2211yescharacteristic, complemented
76C7×#385C2211yescharacteristic, complemented
77C4×C7×C4⋊C4C2211yescharacteristic, complemented
78C4×C7×C22⋊C4C2211yescharacteristic
79C4×C7×C22⋊C4C2211yescharacteristic, complemented
80C7×#376C2211yescharacteristic, complemented
81#89985C2211yescharacteristic
82#89985C2211yescharacteristic
83#89985C2211yescharacteristic
84#89985C2211yescharacteristic, complemented
85#89985C2211yescharacteristic, complemented
86#89985C2211yescharacteristic, complemented
87#89984C2211yescharacteristic, complemented
88#89766C2211yescharacteristic
89#89766C2211yescharacteristic
90#89766C2211yescharacteristic
91#89766C2211yescharacteristic, complemented
92#89763C2211yescharacteristic
93#89763C2211yescharacteristic
94#89763C2211yescharacteristic
95#89760C2211yescharacteristic
96#89760C2211yescharacteristic
97#89759C2211yescharacteristic, complemented
98#89757C2211yescharacteristic, complemented
99#89755C2211yescharacteristic, complemented
100#89746C2211yescharacteristic, complemented
101#89746C2211yescharacteristic, complemented
102#89746C2211yescharacteristic, complemented
103#89733C2211yescharacteristic
104#89733C2211yescharacteristic
105#89733C2211yescharacteristic
106#89733C2211yescharacteristic
107#89733C2211yescharacteristic
108#89733C2211yescharacteristic
109#89733C2211yescharacteristic
110#89733C2211yescharacteristic, complemented
111#89732C2211yescharacteristic
112#89732C2211yescharacteristic
113#89732C2211yescharacteristic, complemented
114#89730C2211yescharacteristic
115#89727C2211yescharacteristic
116#89727C2211yescharacteristic
117#89727C2211yescharacteristic
118#89725C2211yescharacteristic
119#89725C2211yescharacteristic
120#89725C2211yescharacteristic
121#89725C2211yescharacteristic, complemented
122#89725C2211yescharacteristic, complemented
123#89722C2211yescharacteristic
124#89715C2211yescharacteristic
125#89715C2211yescharacteristic
126#89712C2211yescharacteristic
127#89712C2211yescharacteristic
128#89712C2211yescharacteristic
129#89712C2211yescharacteristic
130#89712C2211yescharacteristic
131#89712C2211yescharacteristic
132#89712C2211yescharacteristic
133#89712C2211yescharacteristic, complemented
134#89712C2211yescharacteristic, complemented
135#89712C2211yescharacteristic, complemented
136#89712C2211yescharacteristic, complemented
137#89712C2211yescharacteristic, complemented
138#89711C2211yescharacteristic
139#89711C2211yescharacteristic
140#89711C2211yescharacteristic
141#89711C2211yescharacteristic
142#89711C2211yescharacteristic, complemented
143#89708C2211yescharacteristic, complemented
144#89701C2211yescharacteristic, complemented
145#89700C2211yescharacteristic, complemented
146#89700C2211yescharacteristic, complemented
147#89700C2211yescharacteristic, complemented
148#89700C2211yescharacteristic, complemented
149#89449C2211yescharacteristic
150#89449C2211yescharacteristic
151#89446C2211yescharacteristic
152#89446C2211yescharacteristic
153#89446C2211yescharacteristic
154#89446C2211yescharacteristic, complemented
155#89446C2211yescharacteristic, complemented
156#89445C2211yescharacteristic
157#89445C2211yescharacteristic
158#89445C2211yescharacteristic
159#89445C2211yescharacteristic
160#89445C2211yescharacteristic
161#89445C2211yescharacteristic, complemented
162#89445C2211yescharacteristic, complemented
163#89444C2211yescharacteristic
164#89444C2211yescharacteristic
165#89443C2211yescharacteristic
166#89443C2211yescharacteristic
167#89442C2211yescharacteristic
168#89442C2211yescharacteristic
169#89442C2211yescharacteristic
170#89442C2211yescharacteristic
171#89442C2211yescharacteristic, complemented
172#89442C2211yescharacteristic, complemented
173#89440C2211yescharacteristic, complemented
174#89440C2211yescharacteristic, complemented
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic, complemented
178#89437C2211yescharacteristic, complemented
179#89433C2211yescharacteristic, complemented
180#89431C2211yescharacteristic, complemented
181#89431C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89428C2211yescharacteristic, complemented
184#89428C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89425C2211yescharacteristic, complemented
187#89425C2211yescharacteristic, complemented
188#89425C2211yescharacteristic, complemented
189#36745—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×Dic14C2311yescharacteristic
211C22×Dic14C2311yescharacteristic
212C22×Dic14C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C4×C7×D4D418yescomplemented
215C7×#117—42no—
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C42×C7—42no—
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245#6502—24no—
246#6501—24no—
247#6500—24no—
248#6499—24no—
249#6493—24no—
250#6493—42no—
251#6492—24no—
252#6492—24no—
253#6492—24no—
254C4×C22⋊D7—24no—
255C2×(C2×D7)⋊C4—24no—
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307C2×C4⋊Dic7C2311yescharacteristic
308C2×C4⋊Dic7C2311yescharacteristic
309#6487—24no—
310#6487—24no—
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325#6461—24no—
326#6460—24no—
327#6460—42no—
328#6457—24no—
329#6451—24no—
330#6448—24no—
331#6448—24no—
332#6448—24no—
333#6447—24no—
334#6445—24no—
335#6445—42no—
336#6442—24no—
337#6442—24no—
338#6441—24no—
339#6439—24no—
340#6438—24no—
341#6438—42no—
342#6435—24no—
343C4×Dic14—24no—
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7×#95C2311yescharacteristic
348C7×#95C2311yescharacteristic
349C7×#95C2311yescharacteristic
350C7×#95C2311yescharacteristic
351C7×#95C2311yescharacteristic
352C7×#95C2311yescharacteristic
353C7×#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C2×#542—71no—
381C2×#538—71no—
382#2854—71no—
383#2850—71no—
384#2723—71no—
385#2716—71no—
386#2715—71no—
387#2712—71no—
388#2700—71no—
389#2698—71no—
390#2696—71no—
391#2691—71no—
392#2688—71no—
393#2686—71no—
394#2685—71no—
395#2684—71no—
396#2676—71no—
397#2674—71no—
398#2670—71no—
399#2668—71no—
400#2663—71no—
401#2661—71no—
402#2610—71no—
403#2604—71no—
404#2602—71no—
405#2601—71no—
406#2592—71no—
407#2561—71no—
408#2415—71no—
409#2411—71no—
410#2290D711yescharacteristic, complemented
411C24×C7C2411yescharacteristic
412C24×C7C2411yescharacteristic
413C23×D7—22no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7—41no—
418C23×D7—41no—
419C23×D7—41no—
420C23×D7C2411yescharacteristic
421C23×D7C2411yescharacteristic
422C23×D7C2411yescharacteristic
423C23×D7C2411yescharacteristic
424C2×C7×D4—41no—
425C2×C7×D4—41no—
426C2×C7×D4C2×D414yes—
427C22×C4×C7—22no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7C2×D414yes—
438C22×C4×C7C2×D414yes—
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C22×Dic7—22no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—22no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
493C2×D28—41no—
494C2×D28—41no—
495C2×D28—41no—
496C2×D28—41no—
497C2×D28—41no—
498C2×D28—41no—
499C2×D28—41no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×Dic14—22no—
507C2×Dic14—22no—
508C2×Dic14—22no—
509C2×Dic14—22no—
510C2×Dic14—41no—
511C2×Dic14—41no—
512C2×Dic14—41no—
513C2×Dic14—41no—
514C2×Dic14—41no—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14—41no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4C2×D414yes—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4C2×D414yes—
530C7×C22⋊C4C2×D414yes—
531C42×C7—22no—
532C42×C7—22no—
533C42×C7—41no—
534C42×C7—41no—
535C42×C7—41no—
536C42×C7—41no—
537C42×C7C2×D414yes—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586C4⋊Dic7—22no—
587C4⋊Dic7—22no—
588C4⋊Dic7—22no—
589C4⋊Dic7—22no—
590C4⋊Dic7—22no—
591C4⋊Dic7—41no—
592C4⋊Dic7—41no—
593C4⋊Dic7—41no—
594C4⋊Dic7—41no—
595C4⋊Dic7—41no—
596C4⋊Dic7—41no—
597C4⋊Dic7—41no—
598C4⋊Dic7—41no—
599Dic7⋊C4—22no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609C4×Dic7—22no—
610C4×Dic7—22no—
611C4×Dic7—22no—
612C4×Dic7—22no—
613#542—148no—
614#538—148no—
615C2×C4⋊Q8—71no—
616C2×#126—71no—
617C2×#126—71no—
618C2×#126—71no—
619C2×#126—71no—
620C2×#124—71no—
621C2×#124—71no—
622C2×#124—71no—
623C2×#124—71no—
624C2×#124—71no—
625C2×#124—71no—
626C2×#123—71no—
627C2×#123—71no—
628C2×#123—71no—
629C2×#123—71no—
630C2×C22⋊Q8—71no—
631C2×C22⋊Q8—71no—
632C2×C22⋊Q8—71no—
633C2×C22⋊Q8—71no—
634C2×C22⋊Q8—71no—
635C2×#121—71no—
636C2×#121—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×#121—71no—
640C2×#120—71no—
641C2×#120—71no—
642C2×#120—71no—
643C2×C4×Q8—71no—
644C2×C4×D4—71no—
645C2×C4×D4C2×D711yescharacteristic
646C2×#117—71no—
647C2×#117C2×D711yescharacteristic
648C22×C22⋊C4—71no—
649C22×C42C2×D711yescharacteristic, complemented
650#400—71no—
651#400—71no—
652#399—71no—
653#399—71no—
654#398—71no—
655#398—71no—
656#397—71no—
657#397—71no—
658#397—71no—
659#397—71no—
660#397—71no—
661#397—71no—
662#397—71no—
663#397—71no—
664#397—71no—
665#397—71no—
666#396—71no—
667#396—71no—
668#396—71no—
669#396—71no—
670#395—71no—
671#395—71no—
672#395—71no—
673#394—71no—
674#394—71no—
675#394—71no—
676#394—71no—
677#394—71no—
678#394—71no—
679#394—71no—
680#394—71no—
681#394—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#393—71no—
687#393—71no—
688#393—71no—
689#393—71no—
690#393—71no—
691#393—71no—
692#393—71no—
693#392—71no—
694#392—71no—
695#392—71no—
696#392—71no—
697#392—71no—
698#391—71no—
699#391—71no—
700#391—71no—
701#391—71no—
702#390—71no—
703#390—71no—
704#390—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#389—71no—
710#389—71no—
711#389—71no—
712#389—71no—
713#389—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388C2×D711yescharacteristic
733#388C2×D711yescharacteristic
734#387—71no—
735#387—71no—
736#387—71no—
737#387—71no—
738#387C2×D711yescharacteristic, complemented
739#387C2×D711yescharacteristic, complemented
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386C2×D711yescharacteristic
752#386C2×D711yescharacteristic
753#385—71no—
754#385—71no—
755#385—71no—
756#385C2×D711yescharacteristic, complemented
757#385C2×D711yescharacteristic, complemented
758#382—71no—
759#381—71no—
760#381—71no—
761#380—71no—
762#380—71no—
763#379—71no—
764#379—71no—
765#379—71no—
766C4×C4⋊C4C2×D711yescharacteristic, complemented
767C4×C22⋊C4C2×D711yescharacteristic
768C4×C22⋊C4C2×D711yescharacteristic, complemented
769#376C2×D711yescharacteristic, complemented
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7C22×D412yes—
783C23×C7C22×D412yes—
784C23×C7C2511yescharacteristic
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—44no—
814C22×D7—82no—
815C22×D7—82no—
816C22×D7—82no—
817C22×D7—82no—
818C22×D7—82no—
819C22×D7—82no—
820C7×D4—44no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—44no—
855C2×C4×C7—44no—
856C2×C4×C7—44no—
857C2×C4×C7—44no—
858C2×C4×C7C22×D412yes—
859C2×C4×C7C22×D412yes—
860C2×C4×C7C22×D412yes—
861C2×C4×C7C22×D412yes—
862C2×C4×C7C22×D412yes—
863C2×C4×C7H(5,𝔽2)12yes—
864C22⋊D7—44no—
865C22⋊D7—82no—
866C22⋊D7—82no—
867C22⋊D7—82no—
868C22⋊D7—82no—
869C22⋊D7—82no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—82no—
907D28—82no—
908D28—82no—
909D28—82no—
910D28—82no—
911D28—82no—
912C4×D7—44no—
913C4×D7—82no—
914Dic14—44no—
915Dic14—82no—
916Dic14—82no—
917Dic14—82no—
918C25—71no—
919C22×Q8—71no—
920C22×Q8—71no—
921C22×Q8—71no—
922C22×Q8—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4—71no—
928C22×D4—71no—
929C22×D4—71no—
930C22×D4—71no—
931C22×D4—71no—
932C22×D4—71no—
933C22×D4—71no—
934C22×D4C22×D711yescharacteristic
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4C22×D711yescharacteristic
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C4⋊Q8—144no—
943#126—144no—
944#126—144no—
945#126—144no—
946#126—144no—
947#124—144no—
948#124—144no—
949#124—144no—
950#124—144no—
951#124—144no—
952#124—282no—
953#123—144no—
954#123—144no—
955#123—144no—
956#123—144no—
957C22⋊Q8—144no—
958C22⋊Q8—144no—
959C22⋊Q8—144no—
960C22⋊Q8—144no—
961C22⋊Q8—282no—
962#121—144no—
963#121—144no—
964#121—144no—
965#121—144no—
966#121—282no—
967#120—144no—
968#120—144no—
969#120—282no—
970C4×Q8—144no—
971C4×D4—144no—
972C4×D4D2818yescomplemented
973#117—42no—
974#117—144no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4C22×D711yescharacteristic
999C2×C4⋊C4C22×D711yescharacteristic
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—144no—
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
1055C2×C22⋊C4C22×D711yescharacteristic
1056C2×C22⋊C4C22×D711yescharacteristic
1057C2×C22⋊C4C22×D711yescharacteristic
1058C2×C22⋊C4C22×D711yescharacteristic
1059C2×C22⋊C4C22×D711yescharacteristic
1060C2×C42—42no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42C22×D711yescharacteristic
1066C2×C42C22×D711yescharacteristic
1067C2×C42C22×D711yescharacteristic
1068C2×C42C22×D711yescharacteristic
1069C2×C42C22×D711yescharacteristic
1070C2×C42C22×D711yescharacteristic
1071C2×C42C22×D711yescharacteristic
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95C22×D711yescharacteristic
1099#95C22×D711yescharacteristic
1100#95C22×D711yescharacteristic
1101#95C22×D711yescharacteristic
1102#95C22×D711yescharacteristic
1103#95C22×D711yescharacteristic
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—22no—
1112C22×C7—22no—
1113C22×C7—22no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7C23×D411yescharacteristic
1123C22×C7C2×H(5,𝔽2)11yescharacteristic
1124C22×C7#58511yescharacteristic
1125C22×C7#58511yescharacteristic
1126C22×C7#58511yescharacteristic
1127C22×C7#58511yescharacteristic
1128C22×C7#58511yescharacteristic
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—88no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—22no—
1162C4×C7—22no—
1163C4×C7—22no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7—41no—
1169C4×C7—41no—
1170C4×C7—41no—
1171Dic7—41no—
1172Dic7—41no—
1173Dic7—41no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183C24—71no—
1184C24—71no—
1185C24—71no—
1186C24—71no—
1187C24—142no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24—281no—
1192C24—281no—
1193C24—281no—
1194C24C23×D711yescharacteristic
1195C24C23×D711yescharacteristic
1196C2×Q8—142no—
1197C2×Q8—142no—
1198C2×Q8—142no—
1199C2×Q8—142no—
1200C2×Q8—281no—
1201C2×Q8—281no—
1202C2×Q8—281no—
1203C2×Q8—281no—
1204C2×Q8—281no—
1205C2×Q8—281no—
1206C2×Q8—281no—
1207C2×Q8—281no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—142no—
1217C2×D4—142no—
1218C2×D4—142no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—281no—
1229C2×D4—281no—
1230C2×D4—281no—
1231C2×D4—281no—
1232C2×D4—281no—
1233C2×D4—281no—
1234C2×D4—281no—
1235C2×D4—281no—
1236C2×D4—281no—
1237C2×D4—281no—
1238C2×D4—281no—
1239C2×D4—281no—
1240C2×D4—281no—
1241C2×D4—281no—
1242C2×D4—281no—
1243C2×D4C2×D2814yes—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—71no—
1255C22×C4—71no—
1256C22×C4—71no—
1257C22×C4—71no—
1258C22×C4—71no—
1259C22×C4—71no—
1260C22×C4—71no—
1261C22×C4—71no—
1262C22×C4—71no—
1263C22×C4—71no—
1264C22×C4—71no—
1265C22×C4—71no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—142no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4C2×D2814yes—
1276C22×C4C2×D2814yes—
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—142no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—142no—
1308C4⋊C4—142no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4C2×D2814yes—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4C2×D2814yes—
1373C22⋊C4C2×D2814yes—
1374C42—22no—
1375C42—22no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—142no—
1381C42—142no—
1382C42—142no—
1383C42—142no—
1384C42C2×D2814yes—
1385C2×C7—42no—
1386C2×C7—42no—
1387C2×C7#344911yescharacteristic
1388C2×C7#349611yescharacteristic
1389C2×C7#350011yescharacteristic
1390C2×C7#353311yescharacteristic
1391C2×C7#354011yescharacteristic
1392C2×C7#356611yescharacteristic
1393C2×C7#356811yescharacteristic
1394D7—81no—
1395D7—81no—
1396D7—81no—
1397D7—81no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—284no—
1439C23—562no—
1440C23—562no—
1441C23—562no—
1442C23—562no—
1443C23—562no—
1444C23—562no—
1445C23C22×D2812yes—
1446C23C22×D2812yes—
1447C23C24×D711yescharacteristic
1448Q8—284no—
1449Q8—562no—
1450Q8—562no—
1451Q8—562no—
1452D4—44no—
1453D4—284no—
1454D4—562no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
1458D4—562no—
1459D4—562no—
1460D4—562no—
1461D4—562no—
1462D4—562no—
1463D4—562no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—284no—
1538C2×C4—562no—
1539C2×C4—562no—
1540C2×C4C22×D2812yes—
1541C2×C4C22×D2812yes—
1542C2×C4C22×D2812yes—
1543C2×C4C22×D2812yes—
1544C2×C4C22×D2812yes—
1545C2×C4#654812yes—
1546C7#3674511yescharacteristic, complemented, Sylow
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—568no—
1590C22C23×D2811yescharacteristic
1591C22C2×#654811yescharacteristic
1592C22#9061611yescharacteristic
1593C22#9061611yescharacteristic
1594C22#9061611yescharacteristic
1595C22#9061611yescharacteristic
1596C22#9061611yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C2—42no—
1623C2—42no—
1624C2—561no—
1625C2—561no—
1626C2—561no—
1627C2—561no—
1628C2#1174280311yescharacteristic
1629C2#1174285411yescharacteristic
1630C2#1174291511yescharacteristic
1631C2#1174310011yescharacteristic
1632C2#1174311711yescharacteristic
1633C2#1174321211yescharacteristic
1634C2#1174325111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2290C2
hypercenter#2290D7
hypocenterC7#36745
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×#90252C2semidirect
2. C2×#90251C2semidirect
3. C7×#2290C2semidirect
4. #11739722C2semidirect
5. #11739720C2semidirect
6. #11739525C2semidirect
7. #11739522C2semidirect
8. #11733363C2semidirect
9. #11733358C2semidirect
10. #11733124C2semidirect
11. #11733123C2semidirect
12. #11732833C2semidirect
13. #11732619C2semidirect
14. #11732608C2semidirect
15. #11732597C2semidirect
16. #11732363C2semidirect
17. #11732355C2semidirect
18. #11732244C2semidirect
19. #11732241C2semidirect
20. #11732080C2semidirect
21. #11731976C2semidirect
22. #11731974C2semidirect
23. #11731954C2semidirect
24. #11731258C2semidirect
25. #11731180C2semidirect
26. #11731057C2semidirect
27. #11731056C2semidirect
28. #11731053C2semidirect
29. #11731050C2semidirect
30. #11730871C2semidirect
31. #11730848C2semidirect
34. C22×C42×C7C22semidirect
43. C2×#6492C22semidirect
47. C2×#6487C22semidirect
51. C2×#6460C22semidirect
52. C2×#6460C22semidirect
54. C2×#6451C22semidirect
57. C2×#6448C22semidirect
62. C2×#6442C22semidirect
67. C2×#6435C22semidirect
68. C2×C4×Dic14C22semidirect
71. C7×#387C22semidirect
72. C7×#387C22semidirect
75. C7×#385C22semidirect
76. C7×#385C22semidirect
77. C4×C7×C4⋊C4C22semidirect
79. C4×C7×C22⋊C4C22semidirect
80. C7×#376C22semidirect
84. #89985C22semidirect
85. #89985C22semidirect
86. #89985C22semidirect
87. #89984C22semidirect
91. #89766C22semidirect
97. #89759C22semidirect
98. #89757C22semidirect
99. #89755C22semidirect
100. #89746C22semidirect
101. #89746C22semidirect
102. #89746C22semidirect
110. #89733C22semidirect
113. #89732C22semidirect
121. #89725C22semidirect
122. #89725C22semidirect
133. #89712C22semidirect
134. #89712C22semidirect
135. #89712C22semidirect
136. #89712C22semidirect
137. #89712C22semidirect
142. #89711C22semidirect
143. #89708C22semidirect
144. #89701C22semidirect
145. #89700C22semidirect
146. #89700C22semidirect
147. #89700C22semidirect
148. #89700C22semidirect
154. #89446C22semidirect
155. #89446C22semidirect
161. #89445C22semidirect
162. #89445C22semidirect
171. #89442C22semidirect
172. #89442C22semidirect
173. #89440C22semidirect
174. #89440C22semidirect
177. #89437C22semidirect
178. #89437C22semidirect
179. #89433C22semidirect
180. #89431C22semidirect
181. #89431C22semidirect
182. #89428C22semidirect
183. #89428C22semidirect
184. #89428C22semidirect
185. #89425C22semidirect
186. #89425C22semidirect
187. #89425C22semidirect
188. #89425C22semidirect
214. C4×C7×D4D4semidirect
410. #2290D7semidirect
649. C22×C42C2×D7semidirect
738. #387C2×D7semidirect
739. #387C2×D7semidirect
756. #385C2×D7semidirect
757. #385C2×D7semidirect
766. C4×C4⋊C4C2×D7semidirect
768. C4×C22⋊C4C2×D7semidirect
769. #376C2×D7semidirect
972. C4×D4D28semidirect
1546. C7#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#902522
C2×#902512
C7×#22902
#117397222
#117397202
#117395252
#117395222
#117333632
#117333582
#117331242
#117331232
#117328332
#117326192
#117326082
#117325972
#117323632
#117323552
#117322442
#117322412
#117320802
#117319762
#117319742
#117319542
#117312582
#117311802
#117310572
#117310562
#117310532
#117310502
#117308712
#117308482
#367457