Finite Group Databasebeta

← #13522600

Subgroups — #13522600

Order 1792.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90340C211yesmaximal, characteristic, complemented
2C2×D7×#117C211yesmaximal, characteristic, complemented
3C7×#2470C211yesmaximal, characteristic, complemented
4#11740341C211yesmaximal, characteristic, complemented
5#11739695C211yesmaximal, characteristic, complemented
6#11735590C211yesmaximal, characteristic, complemented
7#11735575C211yesmaximal, characteristic, complemented
8#11734927C211yesmaximal, characteristic, complemented
9#11734904C211yesmaximal, characteristic, complemented
10#11734864C211yesmaximal, characteristic, complemented
11#11734726C211yesmaximal, characteristic, complemented
12#11734559C211yesmaximal, characteristic
13#11734337C211yesmaximal, characteristic, complemented
14#11733472C211yesmaximal, characteristic, complemented
15#11733468C211yesmaximal, characteristic, complemented
16#11733410C211yesmaximal, characteristic, complemented
17#11733406C211yesmaximal, characteristic, complemented
18#11732979C211yesmaximal, characteristic, complemented
19#11732972C211yesmaximal, characteristic, complemented
20#11732897C211yesmaximal, characteristic, complemented
21#11732896C211yesmaximal, characteristic, complemented
22#11732456C211yesmaximal, characteristic, complemented
23#11732382C211yesmaximal, characteristic, complemented
24#11732175C211yesmaximal, characteristic, complemented
25#11732104C211yesmaximal, characteristic, complemented
26#11732053C211yesmaximal, characteristic, complemented
27#11731895C211yesmaximal, characteristic, complemented
28#11731824C211yesmaximal, characteristic, complemented
29#11731822C211yesmaximal, characteristic, complemented
30#11730945C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×C7×#117C2211yescharacteristic
35C2×#6502C2211yescharacteristic
36C2×#6500C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×#6492C2211yescharacteristic, complemented
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×#6489C2211yescharacteristic
41C22×C4×Dic7C2211yescharacteristic, complemented
42#90340—28no—
43D7×#117—28no—
44C2×#6461C2211yescharacteristic, complemented
45C2×#6460C2211yescharacteristic
46C2×#6456C2211yescharacteristic
47C2×#6456C2211yescharacteristic
48C2×#6455C2211yescharacteristic
49C2×#6455C2211yescharacteristic
50C2×#6455C2211yescharacteristic, complemented
51C2×D7×C4⋊C4C2211yescharacteristic
52C2×D7×C4⋊C4C2211yescharacteristic
53C2×#6452C2211yescharacteristic, complemented
54C2×#6450C2211yescharacteristic, complemented
55C2×#6448C2211yescharacteristic
56C2×#6447C2211yescharacteristic
57C2×#6445C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C2×(C22⋊D7)⋊C4C2211yescharacteristic
60C2×(C22⋊D7)⋊C4C2211yescharacteristic
61C2×(C22⋊D7)⋊C4C2211yescharacteristic
62C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
63C2×D7×C22⋊C4C2211yescharacteristic
64C2×D7×C22⋊C4C2211yescharacteristic
65C2×#6442C2211yescharacteristic
66C2×#6441C2211yescharacteristic, complemented
67C2×#6440C2211yescharacteristic
68C2×#6440C2211yescharacteristic
69C2×#6435C2211yescharacteristic
70C2×#6435C2211yescharacteristic
71C2×C42×D7C2211yescharacteristic
72C2×C42×D7C2211yescharacteristic
73C7×#400C2211yescharacteristic, complemented
74C7×#397C2211yescharacteristic
75C7×#396C2211yescharacteristic, complemented
76C7×#394C2211yescharacteristic
77C7×#389C2211yescharacteristic, complemented
78C7×#389C2211yescharacteristic, complemented
79C7×#388C2211yescharacteristic
80C7×#388C2211yescharacteristic, complemented
81C7×#387C2211yescharacteristic, complemented
82C7×#386C2211yescharacteristic
83C7×#385C2211yescharacteristic
84C7×#385C2211yescharacteristic, complemented
85C4×C7×C22⋊C4C2211yescharacteristic, complemented
86#89994C2211yescharacteristic
87#89985C2211yescharacteristic
88#89985C2211yescharacteristic
89#89982C2211yescharacteristic
90#89766C2211yescharacteristic, complemented
91#89764C2211yescharacteristic
92#89764C2211yescharacteristic, complemented
93#89763C2211yescharacteristic
94#89762C2211yescharacteristic
95#89762C2211yescharacteristic
96#89762C2211yescharacteristic, complemented
97#89761C2211yescharacteristic
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic
100#89761C2211yescharacteristic
101#89761C2211yescharacteristic
102#89760C2211yescharacteristic
103#89759C2211yescharacteristic
104#89757C2211yescharacteristic, complemented
105#89756C2211yescharacteristic, complemented
106#89756C2211yescharacteristic, complemented
107#89753C2211yescharacteristic, complemented
108#89751C2211yescharacteristic, complemented
109#89750C2211yescharacteristic, complemented
110#89750C2211yescharacteristic, complemented
111C4⋊C4×Dic7C2211yescharacteristic, complemented
112C4⋊C4×Dic7C2211yescharacteristic, complemented
113C4⋊C4×Dic7C2211yescharacteristic, complemented
114#89744C2211yescharacteristic, complemented
115#89733C2211yescharacteristic
116#89733C2211yescharacteristic
117#89733C2211yescharacteristic, complemented
118#89732C2211yescharacteristic
119#89731C2211yescharacteristic
120#89730C2211yescharacteristic
121#89729C2211yescharacteristic, complemented
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89727C2211yescharacteristic
126#89727C2211yescharacteristic
127#89725C2211yescharacteristic
128#89724C2211yescharacteristic
129#89724C2211yescharacteristic
130#89724C2211yescharacteristic, complemented
131#89723C2211yescharacteristic
132#89722C2211yescharacteristic, complemented
133#89721C2211yescharacteristic, complemented
134#89717C2211yescharacteristic
135#89716C2211yescharacteristic
136C22⋊C4×Dic7C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic, complemented
139C22⋊C4×Dic7C2211yescharacteristic, complemented
140C22⋊C4×Dic7C2211yescharacteristic, complemented
141#89712C2211yescharacteristic, complemented
142#89712C2211yescharacteristic, complemented
143#89711C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic
145#89705C2211yescharacteristic, complemented
146C4×Dic7⋊C4C2211yescharacteristic, complemented
147C42×Dic7C2211yescharacteristic, complemented
148#89701C2211yescharacteristic, complemented
149#89448C2211yescharacteristic
150#89448C2211yescharacteristic
151#89447C2211yescharacteristic
152#89447C2211yescharacteristic, complemented
153#89445C2211yescharacteristic
154#89442C2211yescharacteristic
155#89442C2211yescharacteristic
156#89442C2211yescharacteristic, complemented
157#89441C2211yescharacteristic, complemented
158#89440C2211yescharacteristic
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic
161#89439C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic
167#89438C2211yescharacteristic, complemented
168#89438C2211yescharacteristic, complemented
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89432C2211yescharacteristic, complemented
175#89430C2211yescharacteristic, complemented
176#89429C2211yescharacteristic, complemented
177#89429C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89427C2211yescharacteristic, complemented
180#89427C2211yescharacteristic, complemented
181#89426C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89421C2211yescharacteristic, complemented
187#89421C2211yescharacteristic, complemented
188#89420C2211yescharacteristic, complemented
189#34740—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×C4×D7—24no—
204C22×C4×D7—24no—
205C22×C4×D7—24no—
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#123—24no—
217C7×#117—24no—
218C2×C7×C4⋊C4C2311yescharacteristic
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×C22⋊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×C7×C22⋊C4C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248#6502—24no—
249#6500—24no—
250D4×Dic7—24no—
251#6492—24no—
252C4×C22⋊D7—24no—
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
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
279#6489—24no—
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×C4×Dic7—24no—
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6461—24no—
322#6460—24no—
323#6456—24no—
324#6456—24no—
325#6455—24no—
326#6455—24no—
327#6455—24no—
328D7×C4⋊C4—24no—
329D7×C4⋊C4—24no—
330#6452—24no—
331#6450—24no—
332#6448—24no—
333#6447—24no—
334#6445—24no—
335(C22⋊D7)⋊C4—24no—
336(C22⋊D7)⋊C4—24no—
337(C22⋊D7)⋊C4—24no—
338(C22⋊D7)⋊C4—24no—
339(C22⋊D7)⋊C4—24no—
340D7×C22⋊C4—24no—
341D7×C22⋊C4—24no—
342#6442—24no—
343#6441—24no—
344#6440—24no—
345#6440D418yescomplemented
346#6435—24no—
347#6435—24no—
348C42×D7—24no—
349C42×D7—24no—
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
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#529—71no—
387C22×#117—71no—
388#2481—71no—
389#2480—71no—
390#2479—71no—
391#2478—71no—
392#2477—71no—
393#2476—71no—
394#2475—71no—
395#2474—71no—
396#2473—71no—
397#2472—71no—
398#2471—71no—
399#2470D711yescharacteristic, complemented
400#2449—71no—
401#2443—71no—
402#2424—71no—
403#2418—71no—
404#2396—71no—
405#2395—71no—
406#2395—71no—
407#2392—71no—
408C4×C22⋊Q8—71no—
409C4×#121—71no—
410C4×#120—71no—
411C4×#120—71no—
412#2298—71no—
413#2293—71no—
414#2290—71no—
415#2290—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—22no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C2×C7×D4—22no—
430C2×C7×D4—22no—
431C2×C7×D4—41no—
432C22×C4×C7—22no—
433C22×C4×C7—22no—
434C22×C4×C7—22no—
435C22×C4×C7—22no—
436C22×C4×C7—22no—
437C22×C4×C7—41no—
438C22×C4×C7C2411yescharacteristic
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
451C2×C22⋊D7—22no—
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—22no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7#4114yes—
463C22×Dic7—22no—
464C22×Dic7—22no—
465C22×Dic7—22no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—41no—
471C22×Dic7C2×D414yes—
472C22×Dic7C2411yescharacteristic
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—22no—
489C2×D28—22no—
490C2×D28—41no—
491C2×C4×D7—232no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—22no—
506C2×C4×D7—22no—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7#4114yes—
518C2×C4×D7#4114yes—
519C2×Dic14—22no—
520C2×Dic14—22no—
521C2×Dic14—41no—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—22no—
525C7×C4⋊C4—22no—
526C7×C4⋊C4—22no—
527C7×C4⋊C4—22no—
528C7×C4⋊C4—22no—
529C7×C4⋊C4—41no—
530C7×C4⋊C4—41no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—41no—
540C7×C22⋊C4C2×D414yes—
541C42×C7—22no—
542C42×C7—22no—
543C42×C7—41no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7C2×D414yes—
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—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—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#4114yes—
578C4⋊Dic7—22no—
579C4⋊Dic7—22no—
580C4⋊Dic7—22no—
581C4⋊Dic7—22no—
582C4⋊Dic7—22no—
583C4⋊Dic7—22no—
584C4⋊Dic7—41no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4C2×D414yes—
600Dic7⋊C4C2×D414yes—
601C4×Dic7—22no—
602C4×Dic7—22no—
603C4×Dic7—22no—
604C4×Dic7—22no—
605C4×Dic7—22no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—22no—
610C4×Dic7—22no—
611C4×Dic7—22no—
612C4×Dic7—22no—
613C4×Dic7—22no—
614C4×Dic7—22no—
615C4×Dic7—41no—
616C4×Dic7C2×D414yes—
617C4×Dic7C2×D414yes—
618C24×C4—71no—
619#529—148no—
620C2×#126—71no—
621C2×#126—71no—
622C2×#125—71no—
623C2×#124—71no—
624C2×#123—71no—
625C2×#123C2×D711yescharacteristic
626C2×C22⋊Q8—71no—
627C2×C22⋊Q8—71no—
628C2×#121—71no—
629C2×#121—71no—
630C2×#120—71no—
631C2×#120—71no—
632C2×C4×Q8—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×C4×D4—71no—
636C2×C4×D4—71no—
637C2×C4×D4—71no—
638C2×C4×D4—71no—
639C2×C4×D4—71no—
640C2×C4×D4—71no—
641C2×C4×D4—71no—
642C2×#117—71no—
643C2×#117—71no—
644C2×#117—71no—
645C2×#117—71no—
646C2×#117—71no—
647C2×#117—71no—
648C2×#117—71no—
649C2×#117—71no—
650C2×#117—148no—
651C2×#117C2×D711yescharacteristic
652C22×C4⋊C4—71no—
653C22×C4⋊C4—71no—
654C22×C22⋊C4—71no—
655C22×C22⋊C4—71no—
656C22×C42—71no—
657C22×C42—71no—
658C22×C42—71no—
659#400—71no—
660#400—71no—
661#400C2×D711yescharacteristic, complemented
662#399—71no—
663#399—71no—
664#399—71no—
665#398—71no—
666#398—71no—
667#398—71no—
668#398—71no—
669#398—71no—
670#397—71no—
671#397—71no—
672#397—71no—
673#397—71no—
674#397—71no—
675#397—71no—
676#397C2×D711yescharacteristic
677#396—71no—
678#396—71no—
679#396—71no—
680#396C2×D711yescharacteristic, complemented
681#395—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#394—71no—
687#394—71no—
688#394C2×D711yescharacteristic
689#393—71no—
690#392—71no—
691#391—71no—
692#390—71no—
693#390—71no—
694#390—71no—
695#389—71no—
696#389—71no—
697#389C2×D711yescharacteristic, complemented
698#389C2×D711yescharacteristic, complemented
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388C2×D711yescharacteristic
712#388C2×D711yescharacteristic, complemented
713#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387—71no—
718#387—71no—
719#387—71no—
720#387—71no—
721#387—71no—
722#387C2×D711yescharacteristic, complemented
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386C2×D711yescharacteristic
735#385—71no—
736#385—71no—
737#385—71no—
738#385—71no—
739#385—71no—
740#385—71no—
741#385—71no—
742#385—71no—
743#385—71no—
744#385—71no—
745#385C2×D711yescharacteristic
746#385C2×D711yescharacteristic, complemented
747#380—71no—
748#380—71no—
749#379—71no—
750#379—71no—
751C4×C4⋊C4—71no—
752C4×C4⋊C4—71no—
753C4×C4⋊C4—71no—
754C4×C4⋊C4—71no—
755C4×C4⋊C4—71no—
756C4×C4⋊C4—71no—
757C4×C4⋊C4—71no—
758C4×C4⋊C4—71no—
759C4×C22⋊C4—71no—
760C4×C22⋊C4—71no—
761C4×C22⋊C4—71no—
762C4×C22⋊C4—71no—
763C4×C22⋊C4—71no—
764C4×C22⋊C4—71no—
765C4×C22⋊C4—71no—
766C4×C22⋊C4—71no—
767C4×C22⋊C4—71no—
768C4×C22⋊C4—71no—
769C4×C22⋊C4—71no—
770C4×C22⋊C4—71no—
771C4×C22⋊C4—71no—
772C4×C22⋊C4C2×D711yescharacteristic, complemented
773#376—71no—
774C43—71no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7C22×D412yes—
788C23×C7C2×#4112yes—
789C23×C7C2511yescharacteristic
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—28no—
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—44no—
809C22×D7—44no—
810C22×D7—44no—
811C22×D7—44no—
812C22×D7—44no—
813C22×D7—44no—
814C22×D7C2×#4112yes—
815C22×D7C2×#4112yes—
816C22×D7C2×#4112yes—
817C22×D7C2×#4112yes—
818C7×D4—44no—
819C2×C4×C7—28no—
820C2×C4×C7—21no—
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×C7C22×D412yes—
856C2×C4×C7C22×D412yes—
857C2×C4×C7C2×#4112yes—
858C2×C4×C7C2×#4112yes—
859C2×C4×C7C2×#4112yes—
860C22⋊D7—28no—
861C22⋊D7—44no—
862C22⋊D7—44no—
863C22⋊D7—44no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—28no—
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—44no—
897C2×Dic7—44no—
898C2×Dic7C22×D412yes—
899C2×Dic7C22×D412yes—
900C2×Dic7C22×D412yes—
901C2×Dic7C22×D412yes—
902C2×Dic7C2×#4112yes—
903C2×Dic7C2×#4112yes—
904C2×Dic7C2×#4112yes—
905C2×Dic7C2×#4112yes—
906D28—44no—
907D28—44no—
908C4×D7—28no—
909C4×D7—28no—
910C4×D7—28no—
911C4×D7—28no—
912C4×D7—44no—
913C4×D7—44no—
914C4×D7—44no—
915C4×D7—44no—
916C4×D7—44no—
917Dic14—44no—
918C25—71no—
919C22×Q8—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4C22×D711yescharacteristic
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—144no—
940C23×C4—144no—
941C23×C4—144no—
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944#126—144no—
945#126—144no—
946#125—144no—
947#124—144no—
948#123—24no—
949#123—144no—
950C22⋊Q8—144no—
951C22⋊Q8—144no—
952#121—144no—
953#121—144no—
954#120—144no—
955#120—144no—
956C4×Q8—144no—
957C4×D4—144no—
958C4×D4—144no—
959C4×D4—144no—
960C4×D4—144no—
961C4×D4—144no—
962C4×D4—144no—
963C4×D4—144no—
964C4×D4—144no—
965C4×D4—144no—
966#117—24no—
967#117—78no—
968#117—144no—
969#117—144no—
970#117—144no—
971#117—144no—
972#117—144no—
973#117—144no—
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⋊C4—144no—
999C2×C4⋊C4—144no—
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C4⋊C4C22×D711yescharacteristic
1004C2×C4⋊C4C22×D711yescharacteristic
1005C2×C4⋊C4C22×D711yescharacteristic
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
1008C2×C4⋊C4C22×D711yescharacteristic
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—144no—
1044C2×C22⋊C4—144no—
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C22⋊C4C22×D711yescharacteristic
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
1055C2×C42—71no—
1056C2×C42—71no—
1057C2×C42—71no—
1058C2×C42—71no—
1059C2×C42—71no—
1060C2×C42—71no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42—71no—
1069C2×C42—71no—
1070C2×C42—71no—
1071C2×C42—71no—
1072C2×C42—144no—
1073C2×C42—144no—
1074C2×C42—144no—
1075C2×C42C22×D711yescharacteristic
1076C2×C42C22×D711yescharacteristic
1077C2×C42C22×D711yescharacteristic
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#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108#95C22×D711yescharacteristic
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112#95C22×D711yescharacteristic
1113#95C22×D711yescharacteristic
1114C22×C7—22no—
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7—41no—
1128C22×C7C23×D411yescharacteristic
1129C22×C7C22×#4111yescharacteristic
1130C22×C7C22×#4111yescharacteristic
1131C22×C7C22×#4111yescharacteristic
1132C22×C7C22×#4111yescharacteristic
1133C22×C7#58511yescharacteristic
1134C22×C7#58511yescharacteristic
1135C2×D7—22no—
1136C2×D7—22no—
1137C2×D7—22no—
1138C2×D7—22no—
1139C2×D7—22no—
1140C2×D7—22no—
1141C2×D7—22no—
1142C2×D7—22no—
1143C2×D7—22no—
1144C2×D7—416no—
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#52914yescomplemented
1157C4×C7—22no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—22no—
1162C4×C7—41no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7—41no—
1169C4×C7—41no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—22no—
1174Dic7—22no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7#52514yes—
1183C24—71no—
1184C24—71no—
1185C24—71no—
1186C24—142no—
1187C24—142no—
1188C24—142no—
1189C24—142no—
1190C24—142no—
1191C24—281no—
1192C24—281no—
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C2×Q8—142no—
1196C2×Q8—142no—
1197C2×Q8—281no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—74no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—71no—
1226C22×C4—74no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—74no—
1233C22×C4—74no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—1432no—
1255C22×C4—142no—
1256C22×C4—142no—
1257C22×C4—142no—
1258C22×C4—142no—
1259C22×C4—142no—
1260C22×C4—142no—
1261C22×C4—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—142no—
1269C22×C4—142no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
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
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—74no—
1298C4⋊C4—74no—
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—142no—
1310C4⋊C4—142no—
1311C4⋊C4—142no—
1312C4⋊C4—142no—
1313C4⋊C4—142no—
1314C4⋊C4—142no—
1315C4⋊C4—142no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4—281no—
1319C4⋊C4—281no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—41no—
1329C22⋊C4—74no—
1330C22⋊C4—74no—
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—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
1353C22⋊C4—142no—
1354C22⋊C4—142no—
1355C22⋊C4—142no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4D4×D714yes—
1364C42—22no—
1365C42—22no—
1366C42—41no—
1367C42—74no—
1368C42—74no—
1369C42—142no—
1370C42—142no—
1371C42—142no—
1372C42—142no—
1373C42—142no—
1374C42—142no—
1375C42—142no—
1376C42—142no—
1377C42—142no—
1378C42—142no—
1379C42—142no—
1380C42—142no—
1381C42—142no—
1382C42—142no—
1383C42—281no—
1384C2×C7—42no—
1385C2×C7—42no—
1386C2×C7C2×#52511yescharacteristic
1387C2×C7C2×#52911yescharacteristic
1388C2×C7#345511yescharacteristic
1389C2×C7D4×#4111yescharacteristic
1390C2×C7D4×#4111yescharacteristic
1391C2×C7#347511yescharacteristic
1392C2×C7#347511yescharacteristic
1393D7—24no—
1394D7—42no—
1395D7—81no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—72no—
1409C23—72no—
1410C23—72no—
1411C23—72no—
1412C23—148no—
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—284no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23C2×D4×D712yes—
1437C23D7×#4112yes—
1438C23C24×D711yescharacteristic
1439Q8—284no—
1440D4—44no—
1441D4—148no—
1442D4—284no—
1443D4—284no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
1447C2×C4—28no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
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—44no—
1483C2×C4—72no—
1484C2×C4—72no—
1485C2×C4—72no—
1486C2×C4—72no—
1487C2×C4—72no—
1488C2×C4—72no—
1489C2×C4—72no—
1490C2×C4—72no—
1491C2×C4—148no—
1492C2×C4—148no—
1493C2×C4—148no—
1494C2×C4—148no—
1495C2×C4—148no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
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—284no—
1528C2×C4—284no—
1529C2×C4—284no—
1530C2×C4—284no—
1531C2×C4—284no—
1532C2×C4—284no—
1533C2×C4—284no—
1534C2×C4C2×D4×D712yes—
1535C2×C4C2×D4×D712yes—
1536C2×C4D7×#4112yes—
1537C2×C4D7×#4112yes—
1538C2×C4D7×#4112yes—
1539C7#3474011yescharacteristic, complemented, Sylow
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—74no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—142no—
1560C22—142no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—2816no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22C22×D4×D711yescharacteristic
1577C22C2×D7×#4111yescharacteristic
1578C22C2×D7×#4111yescharacteristic
1579C22C2×D7×#4111yescharacteristic
1580C22C2×D7×#4111yescharacteristic
1581C22#9061811yescharacteristic
1582C22#9062011yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—74no—
1597C4—142no—
1598C4—142no—
1599C4—142no—
1600C4—142no—
1601C4—142no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4—281no—
1609C2—42no—
1610C2—42no—
1611C2—144no—
1612C2—282no—
1613C2—561no—
1614C2D7×#52511yescharacteristic
1615C2D7×#52911yescharacteristic
1616C2#1174359111yescharacteristic
1617C2#1174369411yescharacteristic
1618C2#1174374211yescharacteristic
1619C2#1174389511yescharacteristic
1620C2#1174394211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2470C2
prime radical#11734559C2
hypercenter#2470D7
hypocenterC7#34740
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2470

Complements

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

NH ≅ G/Ntype
1. C2×#90340C2semidirect
2. C2×D7×#117C2semidirect
3. C7×#2470C2semidirect
4. #11740341C2semidirect
5. #11739695C2semidirect
6. #11735590C2semidirect
7. #11735575C2semidirect
8. #11734927C2semidirect
9. #11734904C2semidirect
10. #11734864C2semidirect
11. #11734726C2semidirect
13. #11734337C2semidirect
14. #11733472C2semidirect
15. #11733468C2semidirect
16. #11733410C2semidirect
17. #11733406C2semidirect
18. #11732979C2semidirect
19. #11732972C2semidirect
20. #11732897C2semidirect
21. #11732896C2semidirect
22. #11732456C2semidirect
23. #11732382C2semidirect
24. #11732175C2semidirect
25. #11732104C2semidirect
26. #11732053C2semidirect
27. #11731895C2semidirect
28. #11731824C2semidirect
29. #11731822C2semidirect
30. #11730945C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
38. C2×#6492C22semidirect
41. C22×C4×Dic7C22semidirect
44. C2×#6461C22semidirect
50. C2×#6455C22semidirect
53. C2×#6452C22semidirect
54. C2×#6450C22semidirect
62. C2×(C22⋊D7)⋊C4C22semidirect
66. C2×#6441C22semidirect
73. C7×#400C22semidirect
75. C7×#396C22semidirect
77. C7×#389C22semidirect
78. C7×#389C22semidirect
80. C7×#388C22semidirect
81. C7×#387C22semidirect
84. C7×#385C22semidirect
85. C4×C7×C22⋊C4C22semidirect
90. #89766C22semidirect
92. #89764C22semidirect
96. #89762C22semidirect
104. #89757C22semidirect
105. #89756C22semidirect
106. #89756C22semidirect
107. #89753C22semidirect
108. #89751C22semidirect
109. #89750C22semidirect
110. #89750C22semidirect
111. C4⋊C4×Dic7C22semidirect
112. C4⋊C4×Dic7C22semidirect
113. C4⋊C4×Dic7C22semidirect
114. #89744C22semidirect
117. #89733C22semidirect
121. #89729C22semidirect
130. #89724C22semidirect
132. #89722C22semidirect
133. #89721C22semidirect
138. C22⋊C4×Dic7C22semidirect
139. C22⋊C4×Dic7C22semidirect
140. C22⋊C4×Dic7C22semidirect
141. #89712C22semidirect
142. #89712C22semidirect
145. #89705C22semidirect
146. C4×Dic7⋊C4C22semidirect
147. C42×Dic7C22semidirect
148. #89701C22semidirect
152. #89447C22semidirect
156. #89442C22semidirect
157. #89441C22semidirect
167. #89438C22semidirect
168. #89438C22semidirect
174. #89432C22semidirect
175. #89430C22semidirect
176. #89429C22semidirect
177. #89429C22semidirect
178. #89429C22semidirect
179. #89427C22semidirect
180. #89427C22semidirect
181. #89426C22semidirect
182. #89426C22semidirect
183. #89424C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89421C22semidirect
187. #89421C22semidirect
188. #89420C22semidirect
345. #6440D4semidirect
399. #2470D7semidirect
661. #400C2×D7semidirect
680. #396C2×D7semidirect
697. #389C2×D7semidirect
698. #389C2×D7semidirect
712. #388C2×D7semidirect
722. #387C2×D7semidirect
746. #385C2×D7semidirect
772. C4×C22⋊C4C2×D7semidirect
1156. C2×D7#529semidirect
1539. C7#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#903402
C2×D7×#1172
C7×#24702
#117403412
#117396952
#117355902
#117355752
#117349272
#117349042
#117348642
#117347262
#117345592
#117343372
#117334722
#117334682
#117334102
#117334062
#117329792
#117329722
#117328972
#117328962
#117324562
#117323822
#117321752
#117321042
#117320532
#117318952
#117318242
#117318222
#117309452
C4×(C22⋊D7)⋊C42
#347407