Finite Group Databasebeta

← #13560849

Subgroups — #13560849

Order 1792.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90293C211yesmaximal, characteristic, complemented
2C2×#90297C211yesmaximal, characteristic, complemented
3C7×#2682C211yesmaximal, characteristic, complemented
4#11740357C211yesmaximal, characteristic, complemented
5#11740317C211yesmaximal, characteristic, complemented
6#11740316C211yesmaximal, characteristic, complemented
7#11740286C211yesmaximal, characteristic, complemented
8#11740165C211yesmaximal, characteristic, complemented
9#11740137C211yesmaximal, characteristic, complemented
10#11734878C211yesmaximal, characteristic, complemented
11#11734802C211yesmaximal, characteristic, complemented
12#11734773C211yesmaximal, characteristic, complemented
13#11734765C211yesmaximal, characteristic, complemented
14#11734586C211yesmaximal, characteristic, complemented
15#11734471C211yesmaximal, characteristic, complemented
16#11734428C211yesmaximal, characteristic, complemented
17#11734408C211yesmaximal, characteristic, complemented
18#11734216C211yesmaximal, characteristic, complemented
19#11734168C211yesmaximal, characteristic, complemented
20#11734144C211yesmaximal, characteristic, complemented
21#11734113C211yesmaximal, characteristic, complemented
22#11733914C211yesmaximal, characteristic, complemented
23#11733910C211yesmaximal, characteristic, complemented
24#11733816C211yesmaximal, characteristic, complemented
25#11733740C211yesmaximal, characteristic, complemented
26#11733557C211yesmaximal, characteristic, complemented
27#11733545C211yesmaximal, characteristic, complemented
28#11732100C211yesmaximal, characteristic, complemented
29#11732076C211yesmaximal, characteristic, complemented
30#11731966C211yesmaximal, characteristic, complemented
31#11731931C211yesmaximal, characteristic, complemented
32C22×#1159C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×#123C2211yescharacteristic
35C2×C7×#123C2211yescharacteristic, complemented
36C2×C7×#121C2211yescharacteristic
37C2×C7×#121C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6501C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6500C2211yescharacteristic
42C2×#6500C2211yescharacteristic
43C2×#6498C2211yescharacteristic
44C2×#6498C2211yescharacteristic
45C2×#6498C2211yescharacteristic
46C2×#6498C2211yescharacteristic, complemented
47C2×D4×Dic7C2211yescharacteristic
48C2×D4×Dic7C2211yescharacteristic
49C2×D4×Dic7C2211yescharacteristic, complemented
50C2×#6492C2211yescharacteristic
51C2×#6487C2211yescharacteristic
52C2×#6487C2211yescharacteristic, complemented
53C22×Dic7⋊C4C2211yescharacteristic, complemented
54#90297—28no—
55#90293—28no—
56C2×#6460C2211yescharacteristic
57C2×#6459C2211yescharacteristic
58C2×#6459C2211yescharacteristic
59C2×#6455C2211yescharacteristic
60C2×#6452C2211yescharacteristic, complemented
61C2×#6452C2211yescharacteristic, complemented
62C2×#6446C2211yescharacteristic
63C2×#6446C2211yescharacteristic
64C2×(C22⋊D7)⋊C4C2211yescharacteristic
65C2×(C22⋊D7)⋊C4C2211yescharacteristic
66C2×#6442C2211yescharacteristic
67C2×#6442C2211yescharacteristic, complemented
68C2×#6441C2211yescharacteristic
69C2×#6441C2211yescharacteristic, complemented
70C2×#6441C2211yescharacteristic, complemented
71C7×#396C2211yescharacteristic, complemented
72C7×#396C2211yescharacteristic, complemented
73C7×#394C2211yescharacteristic
74C7×#394C2211yescharacteristic, complemented
75C7×#392C2211yescharacteristic
76C7×#392C2211yescharacteristic, complemented
77C7×#390C2211yescharacteristic
78C7×#390C2211yescharacteristic, complemented
79C7×#389C2211yescharacteristic, complemented
80C7×#385C2211yescharacteristic
81C7×#385C2211yescharacteristic, complemented
82#89995C2211yescharacteristic
83#89995C2211yescharacteristic
84#89995C2211yescharacteristic
85#89994C2211yescharacteristic
86#89994C2211yescharacteristic
87#89994C2211yescharacteristic
88#89994C2211yescharacteristic, complemented
89#89994C2211yescharacteristic, complemented
90#89993C2211yescharacteristic
91#89992C2211yescharacteristic, complemented
92#89992C2211yescharacteristic, complemented
93#89985C2211yescharacteristic
94#89983C2211yescharacteristic
95#89982C2211yescharacteristic
96#89766C2211yescharacteristic
97#89766C2211yescharacteristic
98#89766C2211yescharacteristic
99#89764C2211yescharacteristic
100#89762C2211yescharacteristic
101#89762C2211yescharacteristic
102#89761C2211yescharacteristic
103#89761C2211yescharacteristic
104#89761C2211yescharacteristic
105#89761C2211yescharacteristic
106#89761C2211yescharacteristic
107#89761C2211yescharacteristic
108#89757C2211yescharacteristic, complemented
109#89756C2211yescharacteristic, complemented
110#89756C2211yescharacteristic, complemented
111#89756C2211yescharacteristic, complemented
112#89756C2211yescharacteristic, complemented
113#89753C2211yescharacteristic, complemented
114#89752C2211yescharacteristic, complemented
115#89752C2211yescharacteristic, complemented
116#89751C2211yescharacteristic, complemented
117#89751C2211yescharacteristic, complemented
118#89748C2211yescharacteristic, complemented
119C4⋊C4×Dic7C2211yescharacteristic, complemented
120#89745C2211yescharacteristic, complemented
121#89744C2211yescharacteristic, complemented
122#89733C2211yescharacteristic
123#89733C2211yescharacteristic
124#89733C2211yescharacteristic
125#89733C2211yescharacteristic
126#89731C2211yescharacteristic
127#89731C2211yescharacteristic
128#89730C2211yescharacteristic
129#89730C2211yescharacteristic
130#89730C2211yescharacteristic
131#89729C2211yescharacteristic
132#89729C2211yescharacteristic
133#89729C2211yescharacteristic
134#89729C2211yescharacteristic
135#89729C2211yescharacteristic
136#89728C2211yescharacteristic
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic
139#89728C2211yescharacteristic
140#89727C2211yescharacteristic
141#89727C2211yescharacteristic
142#89727C2211yescharacteristic
143#89725C2211yescharacteristic
144#89725C2211yescharacteristic
145#89724C2211yescharacteristic
146#89724C2211yescharacteristic, complemented
147#89724C2211yescharacteristic, complemented
148#89724C2211yescharacteristic, complemented
149#89723C2211yescharacteristic, complemented
150#89723C2211yescharacteristic, complemented
151#89722C2211yescharacteristic, complemented
152#89720C2211yescharacteristic, complemented
153#89720C2211yescharacteristic, complemented
154#89720C2211yescharacteristic, complemented
155#89719C2211yescharacteristic, complemented
156#89718C2211yescharacteristic, complemented
157#89718C2211yescharacteristic, complemented
158#89718C2211yescharacteristic, complemented
159#89718C2211yescharacteristic, complemented
160#89717C2211yescharacteristic
161#89717C2211yescharacteristic, complemented
162#89717C2211yescharacteristic, complemented
163#89716C2211yescharacteristic
164#89716C2211yescharacteristic, complemented
165#89715C2211yescharacteristic
166#89715C2211yescharacteristic, complemented
167#89714C2211yescharacteristic
168#89714C2211yescharacteristic, complemented
169#89712C2211yescharacteristic
170#89712C2211yescharacteristic
171#89704C2211yescharacteristic, complemented
172#89700C2211yescharacteristic, complemented
173#89448C2211yescharacteristic
174#89448C2211yescharacteristic
175#89447C2211yescharacteristic
176#89442C2211yescharacteristic
177#89440C2211yescharacteristic
178#89440C2211yescharacteristic
179#89439C2211yescharacteristic
180#89439C2211yescharacteristic
181#89432C2211yescharacteristic, complemented
182#89429C2211yescharacteristic, complemented
183#89428C2211yescharacteristic, complemented
184#89426C2211yescharacteristic, complemented
185#89424C2211yescharacteristic, complemented
186#89424C2211yescharacteristic, complemented
187#89422C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36723—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C2×#1159—24no—
211C2×#1159—42no—
212C2×#1159—42no—
213C22×C4×D7—24no—
214C22×C4×D7—42no—
215C22×C4×D7—42no—
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×Dic14C2311yescharacteristic
221C22×Dic14C2311yescharacteristic
222C7×#123—42no—
223C7×#123—42no—
224C7×#121—24no—
225C7×#121—24no—
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C42×C7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269#6502—42no—
270#6501—24no—
271#6500—24no—
272#6500—24no—
273#6500—42no—
274#6498—24no—
275#6498—24no—
276#6498—24no—
277#6498—24no—
278D4×Dic7—24no—
279D4×Dic7—24no—
280D4×Dic7D418yescomplemented
281#6492—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307C2×C4⋊Dic7C2311yescharacteristic
308#6487—24no—
309#6487—24no—
310C2×Dic7⋊C4—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×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
326C2×Dic7⋊C4C2311yescharacteristic
327C2×Dic7⋊C4C2311yescharacteristic
328C2×Dic7⋊C4C2311yescharacteristic
329C2×Dic7⋊C4C2311yescharacteristic
330C2×Dic7⋊C4C2311yescharacteristic
331C2×Dic7⋊C4C2311yescharacteristic
332C2×Dic7⋊C4C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339#6460—24no—
340#6459—42no—
341#6459—42no—
342#6455—24no—
343#6452—24no—
344#6452—24no—
345#6446—24no—
346#6446—24no—
347(C22⋊D7)⋊C4—24no—
348(C22⋊D7)⋊C4—24no—
349#6442—24no—
350#6442—24no—
351#6441—24no—
352#6441—24no—
353#6441—42no—
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
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#539—71no—
387C2×#525—71no—
388#2849—71no—
389#2848—71no—
390#2707—71no—
391#2706—71no—
392#2704—71no—
393#2703—71no—
394#2701—71no—
395#2698—71no—
396#2697—71no—
397#2685—71no—
398#2683—71no—
399#2682D711yescharacteristic, complemented
400#2681—71no—
401#2681—71no—
402#2680—71no—
403#2680—71no—
404#2678—71no—
405#2678—71no—
406#2638—71no—
407#2630—71no—
408#2611—71no—
409#2603—71no—
410#2601—71no—
411#2600—71no—
412#2579—71no—
413#2566—71no—
414#2407—71no—
415#2406—71no—
416#2319—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C24×C7C2411yescharacteristic
420C24×C7C2411yescharacteristic
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—22no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C2×C7×D4—41no—
440C2×C7×D4—41no—
441C2×C7×D4—41no—
442C2×C7×D4—41no—
443C2×C7×D4—41no—
444C2×C7×D4—41no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4C2×D414yes—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—41no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C22×Dic7—22no—
484C22×Dic7—22no—
485C22×Dic7—22no—
486C22×Dic7—41no—
487C22×Dic7—41no—
488C22×Dic7—41no—
489C22×Dic7—41no—
490C22×Dic7—41no—
491C22×Dic7—41no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7—41no—
495C22×Dic7—41no—
496C22×Dic7C2×D414yes—
497C22×Dic7C2×D414yes—
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512#1159—416no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—22no—
520C2×C4×D7—22no—
521C2×C4×D7—416no—
522C2×C4×D7—41no—
523C2×C4×D7—41no—
524C2×C4×D7—41no—
525C2×C4×D7—41no—
526C2×Dic14—22no—
527C2×Dic14—22no—
528C2×Dic14—22no—
529C2×Dic14—41no—
530C2×Dic14—41no—
531C2×Dic14—41no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—22no—
535C7×C4⋊C4—22no—
536C7×C4⋊C4—41no—
537C7×C4⋊C4—41no—
538C7×C4⋊C4—41no—
539C7×C4⋊C4—41no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—22no—
544C7×C22⋊C4—22no—
545C7×C22⋊C4—41no—
546C7×C22⋊C4—41no—
547C7×C22⋊C4—41no—
548C7×C22⋊C4—41no—
549C7×C22⋊C4—41no—
550C7×C22⋊C4—41no—
551C7×C22⋊C4—41no—
552C7×C22⋊C4—41no—
553C7×C22⋊C4—41no—
554C42×C7—41no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560C22⋊Dic7—22no—
561C22⋊Dic7—22no—
562C22⋊Dic7—22no—
563C22⋊Dic7—41no—
564C22⋊Dic7—41no—
565C22⋊Dic7—41no—
566C22⋊Dic7—41no—
567C22⋊Dic7—41no—
568C22⋊Dic7—41no—
569C22⋊Dic7—41no—
570C22⋊Dic7—41no—
571C22⋊Dic7—41no—
572C22⋊Dic7—41no—
573C22⋊Dic7C2×D414yes—
574C22⋊Dic7C2×D414yes—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593C4⋊Dic7—22no—
594C4⋊Dic7—22no—
595C4⋊Dic7—22no—
596C4⋊Dic7—22no—
597C4⋊Dic7—41no—
598C4⋊Dic7—41no—
599C4⋊Dic7—41no—
600C4⋊Dic7C2×D414yes—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—41no—
615Dic7⋊C4—41no—
616Dic7⋊C4—41no—
617Dic7⋊C4—41no—
618Dic7⋊C4—41no—
619Dic7⋊C4—41no—
620Dic7⋊C4—41no—
621Dic7⋊C4—41no—
622Dic7⋊C4—41no—
623C4×Dic7—22no—
624C4×Dic7—22no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627C4×Dic7—41no—
628C4×Dic7C2×D414yes—
629C22×#41—71no—
630C24×C4—71no—
631#539—148no—
632C2×#126—71no—
633C2×#126—71no—
634C2×#125—71no—
635C2×#125—71no—
636#525—148no—
637C2×#123—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123C2×D711yescharacteristic
645C2×#123C2×D711yescharacteristic, complemented
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×C22⋊Q8—71no—
650C2×C22⋊Q8—71no—
651C2×C22⋊Q8—71no—
652C2×C22⋊Q8—71no—
653C2×C22⋊Q8—71no—
654C2×#121—71no—
655C2×#121—71no—
656C2×#121C2×D711yescharacteristic
657C2×#121C2×D711yescharacteristic
658C2×#120—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C2×C4×D4—71no—
665C2×C4×D4—71no—
666C2×#117—71no—
667C22×C4⋊C4—71no—
668#400—71no—
669#399—71no—
670#398—71no—
671#398—71no—
672#398—71no—
673#398—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#397—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#397—71no—
684#396—71no—
685#396—71no—
686#396—71no—
687#396—71no—
688#396—71no—
689#396—71no—
690#396—71no—
691#396—71no—
692#396C2×D711yescharacteristic, complemented
693#396C2×D711yescharacteristic, complemented
694#395—71no—
695#395—71no—
696#395—71no—
697#394—71no—
698#394—71no—
699#394—71no—
700#394—71no—
701#394—71no—
702#394—71no—
703#394—71no—
704#394—71no—
705#394—71no—
706#394—71no—
707#394—71no—
708#394C2×D711yescharacteristic
709#394C2×D711yescharacteristic, complemented
710#393—71no—
711#392—71no—
712#392—71no—
713#392—71no—
714#392C2×D711yescharacteristic
715#392C2×D711yescharacteristic, complemented
716#391—71no—
717#390—71no—
718#390—71no—
719#390—71no—
720#390—71no—
721#390—71no—
722#390—71no—
723#390C2×D711yescharacteristic
724#390C2×D711yescharacteristic, complemented
725#389—71no—
726#389—71no—
727#389—71no—
728#389—71no—
729#389C2×D711yescharacteristic, complemented
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#387—71no—
743#387—71no—
744#387—71no—
745#387—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#385—71no—
765#385—71no—
766#385—71no—
767#385—71no—
768#385—71no—
769#385—71no—
770#385C2×D711yescharacteristic
771#385C2×D711yescharacteristic, complemented
772#384—71no—
773#382—71no—
774#381—71no—
775#381—71no—
776#381—71no—
777#380—71no—
778#380—71no—
779#380—71no—
780#380—71no—
781#379—71no—
782#379—71no—
783#379—71no—
784C4×C4⋊C4—71no—
785#376—71no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7C22×D412yes—
813C23×C7C22×D412yes—
814C23×C7C2511yescharacteristic
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—44no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7—44no—
833C22×D7—44no—
834C22×D7H(5,𝔽2)12yes—
835C22×D72−1+412yes—
836C7×D4—44no—
837C7×D4—44no—
838C7×D4—44no—
839C7×D4—44no—
840C7×D4—82no—
841C7×D4—82no—
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—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—44no—
874C2×C4×C7—82no—
875C2×C4×C7C22×D412yes—
876C2×C4×C7H(5,𝔽2)12yes—
877C22⋊D7—44no—
878C22⋊D7—44no—
879C22⋊D7—44no—
880C22⋊D7—44no—
881C22⋊D7—82no—
882C22⋊D7—82no—
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—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—44no—
922C2×Dic7—44no—
923C2×Dic7—44no—
924C2×Dic7—44no—
925C2×Dic7—82no—
926C2×Dic7C22×D412yes—
927C2×Dic7C22×D412yes—
928C2×Dic7C22×D412yes—
929C2×Dic7C22×D412yes—
930C4×D7—28no—
931C4×D7—44no—
932C4×D7—44no—
933C4×D7—44no—
934Dic14—44no—
935Dic14—82no—
936C25—71no—
937C2×#41—144no—
938C2×#41—282no—
939C2×#41—282no—
940C22×Q8—71no—
941C22×Q8—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4C22×D711yescharacteristic
949C22×D4C22×D711yescharacteristic
950C22×D4C22×D711yescharacteristic
951C22×D4C22×D711yescharacteristic
952C22×D4C22×D711yescharacteristic
953C22×D4C22×D711yescharacteristic
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960C23×C4—71no—
961C23×C4—71no—
962C23×C4—71no—
963C23×C4—144no—
964C23×C4—282no—
965C23×C4—282no—
966C23×C4C22×D711yescharacteristic
967C23×C4C22×D711yescharacteristic
968#126—144no—
969#126—144no—
970#125—144no—
971#125—144no—
972#123—42no—
973#123—42no—
974#123—144no—
975#123—144no—
976#123—144no—
977#123—144no—
978#123—144no—
979#123—144no—
980#123—282no—
981C22⋊Q8—144no—
982C22⋊Q8—144no—
983C22⋊Q8—144no—
984C22⋊Q8—144no—
985C22⋊Q8—144no—
986C22⋊Q8—282no—
987C22⋊Q8—282no—
988C22⋊Q8—282no—
989#121—24no—
990#121—24no—
991#121—144no—
992#121—282no—
993#120—144no—
994#120—144no—
995#120—282no—
996C4×D4—78no—
997C4×D4—144no—
998C4×D4—144no—
999C4×D4—144no—
1000C4×D4—144no—
1001#117—144no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—71no—
1022C2×C4⋊C4—71no—
1023C2×C4⋊C4—71no—
1024C2×C4⋊C4—71no—
1025C2×C4⋊C4—71no—
1026C2×C4⋊C4—71no—
1027C2×C4⋊C4—71no—
1028C2×C4⋊C4—71no—
1029C2×C4⋊C4—71no—
1030C2×C4⋊C4—71no—
1031C2×C4⋊C4—71no—
1032C2×C4⋊C4—144no—
1033C2×C4⋊C4C22×D711yescharacteristic
1034C2×C4⋊C4C22×D711yescharacteristic
1035C2×C4⋊C4C22×D711yescharacteristic
1036C2×C4⋊C4C22×D711yescharacteristic
1037C2×C4⋊C4C22×D711yescharacteristic
1038C2×C4⋊C4C22×D711yescharacteristic
1039C2×C4⋊C4C22×D711yescharacteristic
1040C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C22⋊C4C22×D711yescharacteristic
1082C2×C22⋊C4C22×D711yescharacteristic
1083C2×C22⋊C4C22×D711yescharacteristic
1084C2×C22⋊C4C22×D711yescharacteristic
1085C2×C22⋊C4C22×D711yescharacteristic
1086C2×C22⋊C4C22×D711yescharacteristic
1087C2×C22⋊C4C22×D711yescharacteristic
1088C2×C22⋊C4C22×D711yescharacteristic
1089C2×C22⋊C4C22×D711yescharacteristic
1090C2×C22⋊C4C22×D711yescharacteristic
1091C2×C22⋊C4C22×D711yescharacteristic
1092C2×C22⋊C4C22×D711yescharacteristic
1093C2×C42—71no—
1094C2×C42—71no—
1095C2×C42—71no—
1096C2×C42—71no—
1097C2×C42—71no—
1098C2×C42—71no—
1099C2×C42C22×D711yescharacteristic
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95—71no—
1127#95—71no—
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130#95C22×D711yescharacteristic
1131#95C22×D711yescharacteristic
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—22no—
1136C22×C7—22no—
1137C22×C7—22no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7—41no—
1147C22×C7—41no—
1148C22×C7—41no—
1149C22×C7—41no—
1150C22×C7—41no—
1151C22×C7—41no—
1152C22×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7—41no—
1158C22×C7—41no—
1159C22×C7—41no—
1160C22×C7C23×D411yescharacteristic
1161C22×C7C2×H(5,𝔽2)11yescharacteristic
1162C22×C7C2×H(5,𝔽2)11yescharacteristic
1163C22×C7C2×2−1+411yescharacteristic
1164C22×C7#58511yescharacteristic
1165C22×C7#58511yescharacteristic
1166C22×C7#58511yescharacteristic
1167C2×D7—22no—
1168C2×D7—22no—
1169C2×D7—22no—
1170C2×D7—22no—
1171C2×D7—22no—
1172C2×D7—22no—
1173C2×D7—416no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C2×D7—41no—
1181C2×D7—41no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—41no—
1185C4×C7—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192C4×C7—41no—
1193Dic7—22no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—41no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205Dic7—41no—
1206Dic7—41no—
1207C24—71no—
1208C24—71no—
1209C24—142no—
1210C24—142no—
1211C24—142no—
1212C24—281no—
1213C24—281no—
1214C24—281no—
1215C24—281no—
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C24C23×D711yescharacteristic
1219C24C23×D711yescharacteristic
1220#41—2816no—
1221C2×Q8—142no—
1222C2×Q8—142no—
1223C2×Q8—142no—
1224C2×Q8—281no—
1225C2×Q8—281no—
1226C2×Q8—281no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C2×D4—142no—
1249C2×D4—142no—
1250C2×D4—142no—
1251C2×D4—142no—
1252C2×D4—142no—
1253C2×D4—142no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4D4×D714yes—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—74no—
1274C22×C4—74no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—71no—
1283C22×C4—71no—
1284C22×C4—71no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
1294C22×C4—142no—
1295C22×C4—142no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—2816no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4—281no—
1307C22×C4—281no—
1308C22×C4—281no—
1309C22×C4—281no—
1310C22×C4—281no—
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C22×C4C23×D711yescharacteristic
1319C22×C4C23×D711yescharacteristic
1320C22×C4C23×D711yescharacteristic
1321C22×C4C23×D711yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—74no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—142no—
1345C4⋊C4—142no—
1346C4⋊C4—142no—
1347C4⋊C4—142no—
1348C4⋊C4—281no—
1349C4⋊C4—281no—
1350C4⋊C4—281no—
1351C4⋊C4—281no—
1352C4⋊C4—281no—
1353C4⋊C4—281no—
1354C4⋊C4—281no—
1355C4⋊C4—281no—
1356C4⋊C4—281no—
1357C4⋊C4—281no—
1358C4⋊C4—281no—
1359C4⋊C4—281no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—74no—
1375C22⋊C4—74no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—142no—
1391C22⋊C4—142no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C22⋊C4—281no—
1401C22⋊C4—281no—
1402C22⋊C4—281no—
1403C22⋊C4—281no—
1404C22⋊C4—281no—
1405C22⋊C4—281no—
1406C22⋊C4—281no—
1407C22⋊C4—281no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4—281no—
1412C42—41no—
1413C42—74no—
1414C42—142no—
1415C42—142no—
1416C42—281no—
1417C42—281no—
1418C42—281no—
1419C2×C7—42no—
1420C2×C7—42no—
1421C2×C7—81no—
1422C2×C7—81no—
1423C2×C7#344911yescharacteristic
1424C2×C7#348411yescharacteristic
1425C2×C7#348911yescharacteristic
1426C2×C7#353311yescharacteristic
1427C2×C7#353511yescharacteristic
1428C2×C7#353911yescharacteristic
1429C2×C7#354111yescharacteristic
1430D7—42no—
1431D7—42no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—72no—
1459C23—72no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—284no—
1473C23—284no—
1474C23—284no—
1475C23—284no—
1476C23—284no—
1477C23—284no—
1478C23—284no—
1479C23C2×D4×D712yes—
1480C23C2×D4×D712yes—
1481C23C24×D711yescharacteristic
1482Q8—284no—
1483Q8—562no—
1484D4—44no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—82no—
1489D4—82no—
1490D4—284no—
1491D4—284no—
1492D4—284no—
1493D4—284no—
1494D4—562no—
1495D4—562no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—44no—
1528C2×C4—72no—
1529C2×C4—72no—
1530C2×C4—72no—
1531C2×C4—72no—
1532C2×C4—82no—
1533C2×C4—148no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—141no—
1572C2×C4—284no—
1573C2×C4—284no—
1574C2×C4—284no—
1575C2×C4—284no—
1576C2×C4—284no—
1577C2×C4—284no—
1578C2×C4—284no—
1579C2×C4—562no—
1580C2×C4C2×D4×D712yes—
1581C2×C4#654812yes—
1582C7#3672311yescharacteristic, complemented, Sylow
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—142no—
1612C22—142no—
1613C22—142no—
1614C22—142no—
1615C22—142no—
1616C22—142no—
1617C22—2816no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—281no—
1622C22—281no—
1623C22—281no—
1624C22—281no—
1625C22—281no—
1626C22C22×D4×D711yescharacteristic
1627C22C2×#654811yescharacteristic
1628C22#9061611yescharacteristic
1629C22D7×H(5,𝔽2)11yescharacteristic
1630C22#9061811yescharacteristic
1631C22#9061811yescharacteristic
1632C22D7×2−1+411yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—142no—
1645C4—142no—
1646C4—142no—
1647C4—142no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C4—281no—
1655C4—281no—
1656C4—281no—
1657C4—281no—
1658C2—42no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—282no—
1663C2—282no—
1664C2#1174336211yescharacteristic
1665C2#1174345311yescharacteristic
1666C2#1174348711yescharacteristic
1667C2#1174368811yescharacteristic
1668C2#1174374511yescharacteristic
1669C2#1174385411yescharacteristic
1670C2#1174417811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2682C2
hypercenter#2682D7
hypocenterC7#36723
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2682

Complements

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

NH ≅ G/Ntype
1. C2×#90293C2semidirect
2. C2×#90297C2semidirect
3. C7×#2682C2semidirect
4. #11740357C2semidirect
5. #11740317C2semidirect
6. #11740316C2semidirect
7. #11740286C2semidirect
8. #11740165C2semidirect
9. #11740137C2semidirect
10. #11734878C2semidirect
11. #11734802C2semidirect
12. #11734773C2semidirect
13. #11734765C2semidirect
14. #11734586C2semidirect
15. #11734471C2semidirect
16. #11734428C2semidirect
17. #11734408C2semidirect
18. #11734216C2semidirect
19. #11734168C2semidirect
20. #11734144C2semidirect
21. #11734113C2semidirect
22. #11733914C2semidirect
23. #11733910C2semidirect
24. #11733816C2semidirect
25. #11733740C2semidirect
26. #11733557C2semidirect
27. #11733545C2semidirect
28. #11732100C2semidirect
29. #11732076C2semidirect
30. #11731966C2semidirect
31. #11731931C2semidirect
35. C2×C7×#123C22semidirect
46. C2×#6498C22semidirect
49. C2×D4×Dic7C22semidirect
52. C2×#6487C22semidirect
53. C22×Dic7⋊C4C22semidirect
60. C2×#6452C22semidirect
61. C2×#6452C22semidirect
67. C2×#6442C22semidirect
69. C2×#6441C22semidirect
70. C2×#6441C22semidirect
71. C7×#396C22semidirect
72. C7×#396C22semidirect
74. C7×#394C22semidirect
76. C7×#392C22semidirect
78. C7×#390C22semidirect
79. C7×#389C22semidirect
81. C7×#385C22semidirect
88. #89994C22semidirect
89. #89994C22semidirect
91. #89992C22semidirect
92. #89992C22semidirect
108. #89757C22semidirect
109. #89756C22semidirect
110. #89756C22semidirect
111. #89756C22semidirect
112. #89756C22semidirect
113. #89753C22semidirect
114. #89752C22semidirect
115. #89752C22semidirect
116. #89751C22semidirect
117. #89751C22semidirect
118. #89748C22semidirect
119. C4⋊C4×Dic7C22semidirect
120. #89745C22semidirect
121. #89744C22semidirect
146. #89724C22semidirect
147. #89724C22semidirect
148. #89724C22semidirect
149. #89723C22semidirect
150. #89723C22semidirect
151. #89722C22semidirect
152. #89720C22semidirect
153. #89720C22semidirect
154. #89720C22semidirect
155. #89719C22semidirect
156. #89718C22semidirect
157. #89718C22semidirect
158. #89718C22semidirect
159. #89718C22semidirect
161. #89717C22semidirect
162. #89717C22semidirect
164. #89716C22semidirect
166. #89715C22semidirect
168. #89714C22semidirect
171. #89704C22semidirect
172. #89700C22semidirect
181. #89432C22semidirect
182. #89429C22semidirect
183. #89428C22semidirect
184. #89426C22semidirect
185. #89424C22semidirect
186. #89424C22semidirect
187. #89422C22semidirect
188. #89418C22semidirect
280. D4×Dic7D4semidirect
399. #2682D7semidirect
645. C2×#123C2×D7semidirect
692. #396C2×D7semidirect
693. #396C2×D7semidirect
709. #394C2×D7semidirect
715. #392C2×D7semidirect
724. #390C2×D7semidirect
729. #389C2×D7semidirect
771. #385C2×D7semidirect
1582. C7#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#902932
C2×#902972
C7×#26822
#117403572
#117403172
#117403162
#117402862
#117401652
#117401372
#117348782
#117348022
#117347732
#117347652
#117345862
#117344712
#117344282
#117344082
#117342162
#117341682
#117341442
#117341132
#117339142
#117339102
#117338162
#117337402
#117335572
#117335452
#117321002
#117320762
#117319662
#117319312
#367237