Finite Group Databasebeta

← #13526812

Subgroups — #13526812

Order 1792.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90251C211yesmaximal, characteristic, complemented
2C2×#90206C211yesmaximal, characteristic, complemented
3C7×#2322C211yesmaximal, characteristic, complemented
4#11740346C211yesmaximal, characteristic, complemented
5#11740291C211yesmaximal, characteristic, complemented
6C4×#6502C211yesmaximal, characteristic, complemented
7C2×#89762C211yesmaximal, characteristic, complemented
8#11733731C211yesmaximal, characteristic, complemented
9#11733700C211yesmaximal, characteristic, complemented
10#11733636C211yesmaximal, characteristic, complemented
11#11733553C211yesmaximal, characteristic, complemented
12#11733402C211yesmaximal, characteristic, complemented
13#11733355C211yesmaximal, characteristic, complemented
14#11733266C211yesmaximal, characteristic, complemented
15#11733108C211yesmaximal, characteristic, complemented
16#11732804C211yesmaximal, characteristic, complemented
17#11732803C211yesmaximal, characteristic, complemented
18#11732489C211yesmaximal, characteristic, complemented
19#11732482C211yesmaximal, characteristic, complemented
20#11732197C211yesmaximal, characteristic, complemented
21#11732173C211yesmaximal, characteristic, complemented
22#11732050C211yesmaximal, characteristic, complemented
23#11731921C211yesmaximal, characteristic, complemented
24#11731920C211yesmaximal, characteristic, complemented
25#11731917C211yesmaximal, characteristic, complemented
26#11731877C211yesmaximal, characteristic, complemented
27#11731876C211yesmaximal, characteristic, complemented
28#11731576C211yesmaximal, characteristic, complemented
29#11731521C211yesmaximal, characteristic, complemented
30#11731014C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C22×C7×C4⋊C4C2211yescharacteristic
35C2×#6502C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C2×#6493C2211yescharacteristic
40C2×#6492C2211yescharacteristic
41C2×#6492C2211yescharacteristic
42C2×#6492C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic, complemented
46C22×(C2×D7)⋊C4C2211yescharacteristic
47C22×(C2×D7)⋊C4C2211yescharacteristic
48C22×(C2×D7)⋊C4C2211yescharacteristic
49C2×#6487C2211yescharacteristic
50C22×C4×Dic7C2211yescharacteristic
51#90251—28no—
52#90206—28no—
53C2×#6461C2211yescharacteristic
54C2×#6461C2211yescharacteristic, complemented
55C2×#6461C2211yescharacteristic, complemented
56C2×#6459C2211yescharacteristic, complemented
57C2×#6459C2211yescharacteristic, complemented
58C2×#6458C2211yescharacteristic
59C2×#6457C2211yescharacteristic
60C2×#6457C2211yescharacteristic, complemented
61C2×#6457C2211yescharacteristic, complemented
62C2×#6452C2211yescharacteristic, complemented
63C2×#6452C2211yescharacteristic, complemented
64C2×#6448C2211yescharacteristic
65C2×#6448C2211yescharacteristic
66C2×#6447C2211yescharacteristic
67C2×#6445C2211yescharacteristic
68C2×#6445C2211yescharacteristic
69C2×(C22⋊D7)⋊C4C2211yescharacteristic
70C2×(C22⋊D7)⋊C4C2211yescharacteristic
71C2×#6441C2211yescharacteristic
72C2×#6439C2211yescharacteristic
73C2×#6438C2211yescharacteristic
74C2×C42×D7C2211yescharacteristic, complemented
75C7×#389C2211yescharacteristic, complemented
76C7×#389C2211yescharacteristic, complemented
77C7×#388C2211yescharacteristic, complemented
78C7×#388C2211yescharacteristic, complemented
79C7×#387C2211yescharacteristic, complemented
80C7×#387C2211yescharacteristic, complemented
81C7×#386C2211yescharacteristic
82C7×#385C2211yescharacteristic
83C7×#385C2211yescharacteristic, complemented
84C7×#385C2211yescharacteristic, complemented
85C7×#381C2211yescharacteristic
86C4×C7×C22⋊C4C2211yescharacteristic
87#89992C2211yescharacteristic
88C4×C22⋊Dic7C2211yescharacteristic, complemented
89C2×C7⋊#95C2211yescharacteristic
90C2×C7⋊#95C2211yescharacteristic
91#89766C2211yescharacteristic
92#89765C2211yescharacteristic, complemented
93#89764C2211yescharacteristic
94#89764C2211yescharacteristic
95#89763C2211yescharacteristic
96#89762C2211yescharacteristic
97#89762C2211yescharacteristic
98#89762C2211yescharacteristic
99#89762C2211yescharacteristic
100#89762C2211yescharacteristic
101#89762C2211yescharacteristic
102#89762C2211yescharacteristic
103#89762C2211yescharacteristic
104#89762C2211yescharacteristic, complemented
105#89760C2211yescharacteristic
106#89760C2211yescharacteristic
107#89760C2211yescharacteristic
108#89759C2211yescharacteristic, complemented
109#89757C2211yescharacteristic, complemented
110#89756C2211yescharacteristic, complemented
111#89752C2211yescharacteristic, complemented
112#89751C2211yescharacteristic, complemented
113#89745C2211yescharacteristic, complemented
114#89745C2211yescharacteristic, complemented
115#89744C2211yescharacteristic, complemented
116#89733C2211yescharacteristic
117#89733C2211yescharacteristic, complemented
118#89732C2211yescharacteristic
119#89732C2211yescharacteristic
120#89732C2211yescharacteristic, complemented
121#89731C2211yescharacteristic
122#89731C2211yescharacteristic, complemented
123#89730C2211yescharacteristic
124#89730C2211yescharacteristic
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic, complemented
129#89728C2211yescharacteristic, complemented
130#89728C2211yescharacteristic, complemented
131#89727C2211yescharacteristic
132#89723C2211yescharacteristic, complemented
133#89722C2211yescharacteristic
134#89720C2211yescharacteristic, complemented
135#89717C2211yescharacteristic, complemented
136#89716C2211yescharacteristic, complemented
137#89714C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic
139C22⋊C4×Dic7C2211yescharacteristic
140#89712C2211yescharacteristic
141#89712C2211yescharacteristic
142#89711C2211yescharacteristic
143#89711C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
146C4×Dic7⋊C4C2211yescharacteristic, complemented
147C4×Dic7⋊C4C2211yescharacteristic, complemented
148C42×Dic7C2211yescharacteristic, complemented
149#89448C2211yescharacteristic
150#89448C2211yescharacteristic
151#89447C2211yescharacteristic
152#89447C2211yescharacteristic, complemented
153#89447C2211yescharacteristic, complemented
154#89445C2211yescharacteristic
155#89445C2211yescharacteristic, complemented
156#89444C2211yescharacteristic
157#89444C2211yescharacteristic
158#89444C2211yescharacteristic
159#89443C2211yescharacteristic
160#89442C2211yescharacteristic
161#89442C2211yescharacteristic
162#89442C2211yescharacteristic
163#89442C2211yescharacteristic
164#89442C2211yescharacteristic, complemented
165#89441C2211yescharacteristic
166#89441C2211yescharacteristic
167#89441C2211yescharacteristic
168#89441C2211yescharacteristic, complemented
169#89441C2211yescharacteristic, complemented
170#89438C2211yescharacteristic, complemented
171#89438C2211yescharacteristic, complemented
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic, complemented
178#89432C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89429C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89422C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#35009—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
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#123—24no—
217C4×C7×D4—24no—
218C2×C7×C4⋊C4—24no—
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245#6502—24no—
246#6502—24no—
247#6500—24no—
248#6493—24no—
249#6493—24no—
250#6492—24no—
251#6492—24no—
252#6492—24no—
253C4×C22⋊D7—24no—
254C4×C22⋊D7—42no—
255C4×C22⋊D7D418yescomplemented
256C2×(C2×D7)⋊C4—24no—
257C2×(C2×D7)⋊C4—24no—
258C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302#6487—24no—
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7—42no—
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332#6461—24no—
333#6461—24no—
334#6461—24no—
335#6459—24no—
336#6459—24no—
337#6458—42no—
338#6457—24no—
339#6457—24no—
340#6457—24no—
341#6452—24no—
342#6452—24no—
343#6448—24no—
344#6448—42no—
345#6447—24no—
346#6445—24no—
347#6445—24no—
348(C22⋊D7)⋊C4—24no—
349(C22⋊D7)⋊C4—24no—
350#6441—24no—
351#6439—24no—
352#6438—24no—
353C42×D7—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×#538—71no—
388#2861—71no—
389#2860—71no—
390#2854—71no—
391#2850—71no—
392#2664—71no—
393#2663—71no—
394#2662—71no—
395#2661—71no—
396#2560—71no—
397#2559—71no—
398#2558—71no—
399#2557—71no—
400#2549—71no—
401#2543—71no—
402#2539—71no—
403#2534—71no—
404#2521—71no—
405#2519—71no—
406#2488—71no—
407#2472—71no—
408#2464—71no—
409#2461—71no—
410#2425—71no—
411#2424—71no—
412#2322D711yescharacteristic, complemented
413#2321—71no—
414C4×#121—71no—
415C2×#388—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C22×C4×C7—22no—
434C22×C4×C7—22no—
435C22×C4×C7—22no—
436C22×C4×C7—22no—
437C22×C4×C7—22no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7C2×D414yes—
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7C2×D414yes—
476C22×Dic7—22no—
477C22×Dic7—22no—
478C22×Dic7—22no—
479C22×Dic7—41no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7#4114yes—
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C2×D28—22no—
498C2×D28—22no—
499C2×D28—22no—
500C2×D28—22no—
501C2×D28—22no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×D28—41no—
506C2×D28—41no—
507C2×D28—41no—
508C2×D28—41no—
509C2×D28—41no—
510C2×D28—41no—
511C2×D28—41no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7C2×D414yes—
524C2×Dic14—22no—
525C2×Dic14—22no—
526C2×Dic14—41no—
527C2×Dic14—41no—
528C2×Dic14—41no—
529C2×Dic14—41no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—22no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—22no—
535C7×C4⋊C4—22no—
536C7×C4⋊C4—22no—
537C7×C4⋊C4—41no—
538C7×C4⋊C4—41no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—22no—
544C7×C22⋊C4—41no—
545C7×C22⋊C4—41no—
546C7×C22⋊C4#4114yes—
547C42×C7—22no—
548C42×C7—41no—
549C42×C7—41no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—41no—
555C22⋊Dic7C2×D414yes—
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—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
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—22no—
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—
593(C2×D7)⋊C4C2×D414yes—
594C4⋊Dic7—22no—
595C4⋊Dic7—22no—
596C4⋊Dic7—22no—
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—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—41no—
613Dic7⋊C4—41no—
614Dic7⋊C4C2×D414yes—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—22no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7C2×D414yes—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126—71no—
632C2×#126—71no—
633C2×#125—71no—
634C2×#125—71no—
635C2×#124—71no—
636C2×#124—71no—
637C2×#124—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123C2×D711yescharacteristic
645C2×C22⋊Q8—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×C4×D4—71no—
659C2×C4×D4—71no—
660C2×C4×D4—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4C2×D711yescharacteristic
664C22×C4⋊C4C2×D711yescharacteristic
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4—71no—
668C22×C42—71no—
669C22×C42—71no—
670#400—71no—
671#400—71no—
672#399—71no—
673#399—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#398—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#396—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#395—71no—
687#395—71no—
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392—71no—
701#392—71no—
702#391—71no—
703#391—71no—
704#391—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390—71no—
711#390—71no—
712#390—71no—
713#390—71no—
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389C2×D711yescharacteristic, complemented
719#389C2×D711yescharacteristic, complemented
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#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#388—71no—
743#388—71no—
744#388C2×D711yescharacteristic, complemented
745#388C2×D711yescharacteristic, complemented
746#387C2×D711yescharacteristic, complemented
747#387C2×D711yescharacteristic, complemented
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#386—71no—
757#386—71no—
758#386—71no—
759#386C2×D711yescharacteristic
760#385—71no—
761#385C2×D711yescharacteristic
762#385C2×D711yescharacteristic, complemented
763#385C2×D711yescharacteristic, complemented
764#382—71no—
765#381C2×D711yescharacteristic
766#380—71no—
767#380—71no—
768#379—71no—
769C4×C4⋊C4—71no—
770C4×C4⋊C4—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4—71no—
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4C2×D711yescharacteristic
781C2×#95—71no—
782C2×#95—71no—
783C43—71no—
784C23×C7—21no—
785C23×C7—21no—
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×C7C22×D412yes—
796C23×C7C2×#4112yes—
797C23×C7C2×#4112yes—
798C23×C7C2511yescharacteristic
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—21no—
814C22×D7—21no—
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—44no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—82no—
830C22×D7—82no—
831C22×D7—82no—
832C22×D7—82no—
833C22×D7C22×D412yes—
834C7×D4—44no—
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—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—44no—
871C2×C4×C7—44no—
872C2×C4×C7—82no—
873C2×C4×C7—82no—
874C2×C4×C7C22×D412yes—
875C2×C4×C7C22×D412yes—
876C2×C4×C7C2×#4112yes—
877C2×C4×C7C2×#4112yes—
878C22⋊D7—28no—
879C22⋊D7—44no—
880C22⋊D7—44no—
881C22⋊D7—82no—
882C22⋊D7—82no—
883C22⋊D7—82no—
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—44no—
915C2×Dic7—44no—
916C2×Dic7—82no—
917C2×Dic7C22×D412yes—
918C2×Dic7C22×D412yes—
919C2×Dic7C22×D412yes—
920C2×Dic7C2×#4112yes—
921C2×Dic7C2×#4112yes—
922C2×Dic7H(5,𝔽2)12yes—
923D28—82no—
924D28—82no—
925D28—82no—
926D28—82no—
927D28—82no—
928C4×D7—44no—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—82no—
932Dic14—82no—
933Dic14—82no—
934C25—71no—
935C22×Q8—71no—
936C22×Q8—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4C22×D711yescharacteristic
949C23×C4—71no—
950C23×C4—71no—
951C23×C4—71no—
952C23×C4—71no—
953C23×C4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4C22×D711yescharacteristic
957C23×C4C22×D711yescharacteristic
958C23×C4C22×D711yescharacteristic
959C23×C4C22×D711yescharacteristic
960#126—144no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—144no—
965#125—144no—
966#124—144no—
967#124—144no—
968#124—282no—
969#123—24no—
970#123—144no—
971#123—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976C22⋊Q8—144no—
977C22⋊Q8—144no—
978C22⋊Q8—144no—
979C22⋊Q8—144no—
980#121—144no—
981#121—144no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—144no—
987#120—144no—
988#120—144no—
989C4×D4—24no—
990C4×D4—78no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—282no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
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⋊C4C22×D711yescharacteristic
1018C2×C4⋊C4C22×D711yescharacteristic
1019C2×C4⋊C4C22×D711yescharacteristic
1020C2×C4⋊C4C22×D711yescharacteristic
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C4⋊C4C22×D711yescharacteristic
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—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—144no—
1071C2×C22⋊C4—144no—
1072C2×C22⋊C4—282no—
1073C2×C22⋊C4C22×D711yescharacteristic
1074C2×C22⋊C4C22×D711yescharacteristic
1075C2×C22⋊C4C22×D711yescharacteristic
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C42—71no—
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—71no—
1093C2×C42—282no—
1094C2×C42—282no—
1095C2×C42C22×D711yescharacteristic
1096C2×C42C22×D711yescharacteristic
1097C2×C42C22×D711yescharacteristic
1098#95—71no—
1099#95—71no—
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#95C22×D711yescharacteristic
1121#95C22×D711yescharacteristic
1122#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—22no—
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—22no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7#53214yes—
1144C22×C7C23×D411yescharacteristic
1145C22×C7C22×#4111yescharacteristic
1146C22×C7C22×#4111yescharacteristic
1147C22×C7C2×H(5,𝔽2)11yescharacteristic
1148C22×C7#58511yescharacteristic
1149C22×C7#58511yescharacteristic
1150C22×C7#58511yescharacteristic
1151C2×D7—22no—
1152C2×D7—22no—
1153C2×D7—22no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7—41no—
1160C2×D7—41no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—88no—
1180C4×C7—22no—
1181C4×C7—22no—
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—22no—
1198Dic7—22no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—71no—
1206C24—71no—
1207C24—71no—
1208C24—71no—
1209C24—142no—
1210C24—142no—
1211C24—142no—
1212C24—281no—
1213C24—281no—
1214C24—281no—
1215C24—281no—
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—142no—
1219C2×Q8—142no—
1220C2×Q8—281no—
1221C2×Q8—281no—
1222C2×Q8—281no—
1223C2×Q8—281no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—74no—
1228C2×D4—142no—
1229C2×D4—142no—
1230C2×D4—142no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—74no—
1278C22×C4—74no—
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—281no—
1293C22×C4—281no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4D4×D714yes—
1305C22×C4C23×D711yescharacteristic
1306C22×C4C23×D711yescharacteristic
1307C22×C4C23×D711yescharacteristic
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—74no—
1328C4⋊C4—142no—
1329C4⋊C4—142no—
1330C4⋊C4—142no—
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—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C4⋊C4—281no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—74no—
1356C22⋊C4—74no—
1357C22⋊C4—142no—
1358C22⋊C4—142no—
1359C22⋊C4—142no—
1360C22⋊C4—142no—
1361C22⋊C4—142no—
1362C22⋊C4—142no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—142no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
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—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4#115714yes—
1400C42—22no—
1401C42—41no—
1402C42—41no—
1403C42—74no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—142no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—24no—
1416C2×C7—81no—
1417C2×C7C2×#53211yescharacteristic
1418C2×C7#345511yescharacteristic
1419C2×C7#345911yescharacteristic
1420C2×C7#349611yescharacteristic
1421C2×C7#350011yescharacteristic
1422C2×C7#351311yescharacteristic
1423C2×C7#352111yescharacteristic
1424D7—42no—
1425D7—81no—
1426D7—81no—
1427D7—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—72no—
1440C23—141no—
1441C23—141no—
1442C23—141no—
1443C23—141no—
1444C23—141no—
1445C23—141no—
1446C23—141no—
1447C23—141no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—284no—
1468C23—284no—
1469C23—284no—
1470C23—562no—
1471C23—562no—
1472C23—562no—
1473C23—562no—
1474C23C2×#115712yes—
1475C23C2×D4×D712yes—
1476C23D7×#4112yes—
1477C23C24×D711yescharacteristic
1478Q8—562no—
1479Q8—562no—
1480D4—44no—
1481D4—148no—
1482D4—284no—
1483D4—284no—
1484D4—562no—
1485D4—562no—
1486D4—562no—
1487D4—562no—
1488D4—562no—
1489D4—562no—
1490D4—562no—
1491D4—562no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
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—44no—
1529C2×C4—72no—
1530C2×C4—72no—
1531C2×C4—72no—
1532C2×C4—72no—
1533C2×C4—72no—
1534C2×C4—72no—
1535C2×C4—82no—
1536C2×C4—82no—
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—284no—
1568C2×C4—284no—
1569C2×C4—284no—
1570C2×C4—284no—
1571C2×C4—284no—
1572C2×C4—562no—
1573C2×C4—562no—
1574C2×C4C2×#115712yes—
1575C2×C4C2×#115712yes—
1576C2×C4C2×D4×D712yes—
1577C2×C4C2×D4×D712yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—142no—
1593C22—142no—
1594C22—142no—
1595C22—281no—
1596C22—281no—
1597C22—281no—
1598C22—281no—
1599C22—281no—
1600C22—281no—
1601C22—281no—
1602C22—281no—
1603C22—281no—
1604C22—281no—
1605C22—281no—
1606C22—281no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—568no—
1621C22#9023914yes—
1622C22C22×#115711yescharacteristic
1623C22C22×D4×D711yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22D7×H(5,𝔽2)11yescharacteristic
1626C22#9061811yescharacteristic
1627C22#9062011yescharacteristic
1628C22#9062011yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—142no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—142no—
1647C4—142no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—24no—
1655C2—81no—
1656C2—282no—
1657C2—561no—
1658C2—561no—
1659C2—561no—
1660C2C2×#9023911yescharacteristic
1661C2#1174296511yescharacteristic
1662C2#1174297311yescharacteristic
1663C2#1174336611yescharacteristic
1664C2#1174340911yescharacteristic
1665C2#1174349511yescharacteristic
1666C2#1174349611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2322C2
hypercenter#2322D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
1. C2×#90251C2semidirect
2. C2×#90206C2semidirect
3. C7×#2322C2semidirect
4. #11740346C2semidirect
5. #11740291C2semidirect
6. C4×#6502C2semidirect
7. C2×#89762C2semidirect
8. #11733731C2semidirect
9. #11733700C2semidirect
10. #11733636C2semidirect
11. #11733553C2semidirect
12. #11733402C2semidirect
13. #11733355C2semidirect
14. #11733266C2semidirect
15. #11733108C2semidirect
16. #11732804C2semidirect
17. #11732803C2semidirect
18. #11732489C2semidirect
19. #11732482C2semidirect
20. #11732197C2semidirect
21. #11732173C2semidirect
22. #11732050C2semidirect
23. #11731921C2semidirect
24. #11731920C2semidirect
25. #11731917C2semidirect
26. #11731877C2semidirect
27. #11731876C2semidirect
28. #11731576C2semidirect
29. #11731521C2semidirect
30. #11731014C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
45. C2×C4×C22⋊D7C22semidirect
54. C2×#6461C22semidirect
55. C2×#6461C22semidirect
56. C2×#6459C22semidirect
57. C2×#6459C22semidirect
60. C2×#6457C22semidirect
61. C2×#6457C22semidirect
62. C2×#6452C22semidirect
63. C2×#6452C22semidirect
74. C2×C42×D7C22semidirect
75. C7×#389C22semidirect
76. C7×#389C22semidirect
77. C7×#388C22semidirect
78. C7×#388C22semidirect
79. C7×#387C22semidirect
80. C7×#387C22semidirect
83. C7×#385C22semidirect
84. C7×#385C22semidirect
88. C4×C22⋊Dic7C22semidirect
92. #89765C22semidirect
104. #89762C22semidirect
108. #89759C22semidirect
109. #89757C22semidirect
110. #89756C22semidirect
111. #89752C22semidirect
112. #89751C22semidirect
113. #89745C22semidirect
114. #89745C22semidirect
115. #89744C22semidirect
117. #89733C22semidirect
120. #89732C22semidirect
122. #89731C22semidirect
128. #89729C22semidirect
129. #89728C22semidirect
130. #89728C22semidirect
132. #89723C22semidirect
134. #89720C22semidirect
135. #89717C22semidirect
136. #89716C22semidirect
144. C4×(C2×D7)⋊C4C22semidirect
145. C4×(C2×D7)⋊C4C22semidirect
146. C4×Dic7⋊C4C22semidirect
147. C4×Dic7⋊C4C22semidirect
148. C42×Dic7C22semidirect
152. #89447C22semidirect
153. #89447C22semidirect
155. #89445C22semidirect
164. #89442C22semidirect
168. #89441C22semidirect
169. #89441C22semidirect
170. #89438C22semidirect
171. #89438C22semidirect
177. #89437C22semidirect
178. #89432C22semidirect
179. #89430C22semidirect
180. #89429C22semidirect
181. #89429C22semidirect
182. #89428C22semidirect
183. #89422C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
255. C4×C22⋊D7D4semidirect
412. #2322D7semidirect
718. #389C2×D7semidirect
719. #389C2×D7semidirect
744. #388C2×D7semidirect
745. #388C2×D7semidirect
746. #387C2×D7semidirect
747. #387C2×D7semidirect
762. #385C2×D7semidirect
763. #385C2×D7semidirect
1578. C7#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#902512
C2×#902062
C7×#23222
#117403462
#117402912
C4×#65022
C2×#897622
#117337312
#117337002
#117336362
#117335532
#117334022
#117333552
#117332662
#117331082
#117328042
#117328032
#117324892
#117324822
#117321972
#117321732
#117320502
#117319212
#117319202
#117319172
#117318772
#117318762
#117315762
#117315212
#117310142
C4×(C22⋊D7)⋊C42
#350097