Finite Group Databasebeta

← #13522606

Subgroups — #13522606

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×#90397C211yesmaximal, characteristic, complemented
2C22×#6440C211yesmaximal, characteristic, complemented
3C7×#2480C211yesmaximal, characteristic, complemented
4#11740524C211yesmaximal, characteristic, complemented
5#11739554C211yesmaximal, characteristic
6#11734921C211yesmaximal, characteristic, complemented
7#11734920C211yesmaximal, characteristic, complemented
8#11734917C211yesmaximal, characteristic, complemented
9#11734904C211yesmaximal, characteristic, complemented
10#11734904C211yesmaximal, characteristic, complemented
11#11734902C211yesmaximal, characteristic, complemented
12#11734745C211yesmaximal, characteristic, complemented
13#11734727C211yesmaximal, characteristic, complemented
14#11733310C211yesmaximal, characteristic, complemented
15#11733308C211yesmaximal, characteristic, complemented
16#11732981C211yesmaximal, characteristic, complemented
17#11732896C211yesmaximal, characteristic, complemented
18#11732895C211yesmaximal, characteristic, complemented
19#11732894C211yesmaximal, characteristic, complemented
20#11731866C211yesmaximal, characteristic, complemented
21#11731863C211yesmaximal, characteristic, complemented
22#11731826C211yesmaximal, characteristic, complemented
23#11731822C211yesmaximal, characteristic, complemented
24#11731353C211yesmaximal, characteristic, complemented
25#11731310C211yesmaximal, characteristic, complemented
26#11731274C211yesmaximal, characteristic, complemented
27#11731271C211yesmaximal, characteristic, complemented
28#11731263C211yesmaximal, characteristic, complemented
29#11731263C211yesmaximal, characteristic, complemented
30#11730948C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C24×Dic7C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic
34C22×C7×C22⋊C4C2211yescharacteristic
35C2×#6516C2211yescharacteristic
36C2×#6516C2211yescharacteristic
37C22×C22⋊Dic7C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C22×Dic7⋊C4C2211yescharacteristic
41C22×Dic7⋊C4C2211yescharacteristic
42C22×C4×Dic7C2211yescharacteristic
43C22×C4×Dic7C2211yescharacteristic
44#90397—28no—
45C2×#6459C2211yescharacteristic, complemented
46C2×#6457C2211yescharacteristic, complemented
47C2×#6456C2211yescharacteristic, complemented
48C2×#6455C2211yescharacteristic, complemented
49C2×#6452C2211yescharacteristic, complemented
50C2×#6450C2211yescharacteristic, complemented
51C2×#6448C2211yescharacteristic
52C2×#6447C2211yescharacteristic
53C2×#6446C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic
56C2×(C22⋊D7)⋊C4C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C2×(C22⋊D7)⋊C4C2211yescharacteristic
60C2×(C22⋊D7)⋊C4C2211yescharacteristic
61C2×#6441C2211yescharacteristic
62C2×#6440—28no—
63C2×#6440C2211yescharacteristic
64C2×#6440C2211yescharacteristic
65C2×#6440C2211yescharacteristic
66C2×#6440C2211yescharacteristic
67C2×#6440C2211yescharacteristic
68C2×#6440C2211yescharacteristic
69C2×#6440C2211yescharacteristic
70C2×#6440C2211yescharacteristic
71C2×#6439C2211yescharacteristic, complemented
72C2×C42×D7C2211yescharacteristic, complemented
73C7×#397C2211yescharacteristic
74C7×#397C2211yescharacteristic
75C7×#397C2211yescharacteristic
76C7×#396C2211yescharacteristic
77C7×#388C2211yescharacteristic
78C7×#388C2211yescharacteristic
79C7×#388C2211yescharacteristic
80C7×#385C2211yescharacteristic
81C7×#385C2211yescharacteristic
82C7×#380C2211yescharacteristic
83C7×#379C2211yescharacteristic
84C7×#379C2211yescharacteristic
85C4×C7×C22⋊C4C2211yescharacteristic
86#89985C2211yescharacteristic
87#89982C2211yescharacteristic
88#89764C2211yescharacteristic, complemented
89#89764C2211yescharacteristic, complemented
90#89762C2211yescharacteristic, complemented
91#89761C2211yescharacteristic, complemented
92#89760C2211yescharacteristic, complemented
93#89756C2211yescharacteristic, complemented
94#89755C2211yescharacteristic, complemented
95#89752C2211yescharacteristic, complemented
96#89751C2211yescharacteristic, complemented
97#89750C2211yescharacteristic, complemented
98#89750C2211yescharacteristic, complemented
99#89750C2211yescharacteristic, complemented
100C4⋊C4×Dic7C2211yescharacteristic, complemented
101C4⋊C4×Dic7C2211yescharacteristic, complemented
102C4⋊C4×Dic7C2211yescharacteristic, complemented
103#89745C2211yescharacteristic, complemented
104#89744C2211yescharacteristic, complemented
105#89744C2211yescharacteristic, complemented
106#89733C2211yescharacteristic
107#89733C2211yescharacteristic
108#89732C2211yescharacteristic
109#89731C2211yescharacteristic
110#89731C2211yescharacteristic
111#89731C2211yescharacteristic
112#89731C2211yescharacteristic
113#89730C2211yescharacteristic
114#89730C2211yescharacteristic
115#89730C2211yescharacteristic
116#89730C2211yescharacteristic
117#89730C2211yescharacteristic
118#89730C2211yescharacteristic
119#89730C2211yescharacteristic
120#89730C2211yescharacteristic
121#89730C2211yescharacteristic
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89724C2211yescharacteristic
127#89724C2211yescharacteristic
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic
130#89723C2211yescharacteristic
131#89722C2211yescharacteristic
132#89721C2211yescharacteristic
133#89720C2211yescharacteristic
134#89719C2211yescharacteristic
135#89718C2211yescharacteristic
136#89718C2211yescharacteristic
137#89718C2211yescharacteristic
138#89718C2211yescharacteristic
139#89718C2211yescharacteristic
140#89718C2211yescharacteristic
141#89717C2211yescharacteristic
142#89716C2211yescharacteristic
143#89714C2211yescharacteristic
144C22⋊C4×Dic7C2211yescharacteristic
145C22⋊C4×Dic7C2211yescharacteristic
146C22⋊C4×Dic7C2211yescharacteristic
147C22⋊C4×Dic7C2211yescharacteristic
148C22⋊C4×Dic7C2211yescharacteristic
149C22⋊C4×Dic7C2211yescharacteristic
150C22⋊C4×Dic7C2211yescharacteristic
151#89712C2211yescharacteristic, complemented
152C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
153#89705C2211yescharacteristic, complemented
154#89705C2211yescharacteristic, complemented
155C4×Dic7⋊C4C2211yescharacteristic, complemented
156C42×Dic7C2211yescharacteristic, complemented
157#89448C2211yescharacteristic, complemented
158#89448C2211yescharacteristic, complemented
159#89447C2211yescharacteristic, complemented
160#89447C2211yescharacteristic, complemented
161#89444C2211yescharacteristic, complemented
162#89442C2211yescharacteristic, complemented
163#89441C2211yescharacteristic, complemented
164#89441C2211yescharacteristic, complemented
165#89441C2211yescharacteristic, complemented
166#89440C2211yescharacteristic, complemented
167#89438C2211yescharacteristic, complemented
168#89438C2211yescharacteristic, complemented
169#89438C2211yescharacteristic, complemented
170#89438C2211yescharacteristic, complemented
171#89438C2211yescharacteristic, complemented
172#89430C2211yescharacteristic, complemented
173#89430C2211yescharacteristic, complemented
174#89430C2211yescharacteristic, complemented
175#89429C2211yescharacteristic, complemented
176#89429C2211yescharacteristic, complemented
177#89427C2211yescharacteristic, complemented
178#89427C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89424C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#34740—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7—24no—
200C23×Dic7—24no—
201C23×Dic7—24no—
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#126—24no—
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4—24no—
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊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×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242#6516—24no—
243#6516—24no—
244C2×C22⋊Dic7—24no—
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255#6493—24no—
256C4×C22⋊D7—24no—
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×C4⋊Dic7C2311yescharacteristic
276C2×C4⋊Dic7C2311yescharacteristic
277C2×C4⋊Dic7C2311yescharacteristic
278C2×C4⋊Dic7C2311yescharacteristic
279C2×Dic7⋊C4—24no—
280C2×Dic7⋊C4—24no—
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
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×Dic7—24no—
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
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323#6459—24no—
324#6457—24no—
325#6456—24no—
326#6455—24no—
327#6452—24no—
328#6450—24no—
329#6448—24no—
330#6447—24no—
331#6446—24no—
332(C22⋊D7)⋊C4—24no—
333(C22⋊D7)⋊C4—24no—
334(C22⋊D7)⋊C4—24no—
335(C22⋊D7)⋊C4—24no—
336(C22⋊D7)⋊C4—24no—
337(C22⋊D7)⋊C4—24no—
338(C22⋊D7)⋊C4—24no—
339#6441—24no—
340#6440—24no—
341#6440—24no—
342#6440—24no—
343#6440—24no—
344#6440—24no—
345#6440—24no—
346#6440—24no—
347#6440D418yescomplemented
348#6439—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#2480D711yescharacteristic, complemented
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#2470—71no—
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×C7—22no—
418C24×C7—22no—
419C24×C7—22no—
420C24×C7—22no—
421C24×C7—22no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
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
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
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—22no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7#4114yes—
465C22×Dic7—232no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—22no—
472C22×Dic7—22no—
473C22×Dic7—22no—
474C22×Dic7—22no—
475C22×Dic7—22no—
476C22×Dic7—22no—
477C22×Dic7—22no—
478C22×Dic7—22no—
479C22×Dic7—22no—
480C22×Dic7—22no—
481C22×Dic7—22no—
482C22×Dic7—22no—
483C22×Dic7—22no—
484C22×Dic7—22no—
485C22×Dic7—41no—
486C22×Dic7—41no—
487C22×Dic7C2×D414yes—
488C22×Dic7#4114yes—
489C22×Dic7#4114yes—
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C2×D28—22no—
505C2×D28—22no—
506C2×D28—41no—
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—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×Dic14—22no—
520C2×Dic14—22no—
521C2×Dic14—41no—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—22no—
525C7×C4⋊C4—41no—
526C7×C4⋊C4—41no—
527C7×C4⋊C4—41no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
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⋊C4—41no—
541C7×C22⋊C4—41no—
542C7×C22⋊C4—41no—
543C7×C22⋊C4C2×D414yes—
544C42×C7—22no—
545C42×C7—41no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7C2×D414yes—
555C22⋊Dic7#4114yes—
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—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—22no—
577C4⋊Dic7—41no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—22no—
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⋊C4C2×D414yes—
599Dic7⋊C4C2×D414yes—
600C4×Dic7—22no—
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×#126C2×D711yescharacteristic
622C2×#125—71no—
623C2×#124—71no—
624C2×#123—71no—
625C2×#123—71no—
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—71no—
651C2×#117—148no—
652C22×C4⋊C4—71no—
653C22×C4⋊C4—71no—
654C22×C22⋊C4—71no—
655C22×C22⋊C4C2×D711yescharacteristic
656C22×C42—71no—
657C22×C42—71no—
658C22×C42—71no—
659#400—71no—
660#400—71no—
661#400—71no—
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#397C2×D711yescharacteristic
675#397C2×D711yescharacteristic
676#397C2×D711yescharacteristic
677#396—71no—
678#396—71no—
679#396—71no—
680#396C2×D711yescharacteristic
681#395—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#394—71no—
687#394—71no—
688#394—71no—
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#389—71no—
698#389—71no—
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#388C2×D711yescharacteristic
711#388C2×D711yescharacteristic
712#388C2×D711yescharacteristic
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#387—71no—
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#386—71no—
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
747#380—71no—
748#380C2×D711yescharacteristic
749#379C2×D711yescharacteristic
750#379C2×D711yescharacteristic
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
773#376—71no—
774C43—71no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—28no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
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—44no—
793C23×C7—44no—
794C23×C7—44no—
795C23×C7—44no—
796C23×C7—44no—
797C23×C7—44no—
798C23×C7C22×D412yes—
799C23×C7C2×#4112yes—
800C23×C7C2×#4112yes—
801C23×C7C2×#4112yes—
802C23×C7C2×#4112yes—
803C23×C7C2511yescharacteristic
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×D7C2×#4112yes—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
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—44no—
853C2×C4×C7—44no—
854C2×C4×C7C22×D412yes—
855C2×C4×C7C22×D412yes—
856C22⋊D7—28no—
857C22⋊D7—44no—
858C22⋊D7—44no—
859C22⋊D7—44no—
860C22⋊D7—44no—
861C22⋊D7—44no—
862C2×Dic7—28no—
863C2×Dic7—28no—
864C2×Dic7—28no—
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—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—28no—
882C2×Dic7—28no—
883C2×Dic7—28no—
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—44no—
900C2×Dic7—44no—
901C2×Dic7C22×D412yes—
902C2×Dic7C22×D412yes—
903C2×Dic7C22×D412yes—
904C2×Dic7C22×D412yes—
905C2×Dic7C2×#4112yes—
906C2×Dic7C2×#4112yes—
907C2×Dic7C2×#4112yes—
908C2×Dic7C2×#4112yes—
909C2×Dic7C2×#4112yes—
910C2×Dic7C2×#4112yes—
911C2×Dic7C2×#4112yes—
912D28—44no—
913C4×D7—44no—
914C4×D7—44no—
915C4×D7—44no—
916C4×D7—44no—
917Dic14—44no—
918C25C22×D711yescharacteristic
919C22×Q8—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
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—24no—
945#126—144no—
946#125—144no—
947#124—144no—
948#123—144no—
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—78no—
967#117—144no—
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—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—144no—
1002C2×C4⋊C4—144no—
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—24no—
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—144no—
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4C22×D711yescharacteristic
1042C2×C22⋊C4C22×D711yescharacteristic
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
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—71no—
1073C2×C42—144no—
1074C2×C42—144no—
1075C2×C42—144no—
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#95—71no—
1105#95—71no—
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—22no—
1121C22×C7—22no—
1122C22×C7—22no—
1123C22×C7—22no—
1124C22×C7—22no—
1125C22×C7—22no—
1126C22×C7—416no—
1127C22×C7—41no—
1128C22×C7—41no—
1129C22×C7—41no—
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7#52914yescomplemented
1136C22×C7C23×D411yescharacteristic
1137C22×C7C22×#4111yescharacteristic
1138C22×C7C22×#4111yescharacteristic
1139C22×C7C22×#4111yescharacteristic
1140C22×C7C22×#4111yescharacteristic
1141C22×C7#58511yescharacteristic
1142C22×C7#58511yescharacteristic
1143C2×D7—22no—
1144C2×D7—22no—
1145C2×D7—22no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C4×C7—22no—
1158C4×C7—22no—
1159C4×C7—41no—
1160C4×C7—41no—
1161C4×C7—41no—
1162C4×C7—41no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7—41no—
1169Dic7—22no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—22no—
1174Dic7—22no—
1175Dic7—22no—
1176Dic7—22no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7#52514yes—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—71no—
1191C24—71no—
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C2×Q8—142no—
1196C2×Q8—142no—
1197C2×Q8—281no—
1198C2×D4—74no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
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—281no—
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—41no—
1224C22×C4—41no—
1225C22×C4—71no—
1226C22×C4—74no—
1227C22×C4—74no—
1228C22×C4—74no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—71no—
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—142no—
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—1432no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—142no—
1269C22×C4—142no—
1270C22×C4—142no—
1271C22×C4—142no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4—281no—
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—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—74no—
1295C4⋊C4—74no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—142no—
1308C4⋊C4—142no—
1309C4⋊C4—142no—
1310C4⋊C4—142no—
1311C4⋊C4—142no—
1312C4⋊C4—142no—
1313C4⋊C4—142no—
1314C4⋊C4—142no—
1315C4⋊C4—142no—
1316C4⋊C4—142no—
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—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—74no—
1336C22⋊C4—74no—
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—142no—
1357C22⋊C4—142no—
1358C22⋊C4—142no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4D4×D714yes—
1364C42—22no—
1365C42—41no—
1366C42—74no—
1367C42—74no—
1368C42—142no—
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—24no—
1385C2×C7—42no—
1386C2×C7—42no—
1387C2×C7C2×#52511yescharacteristic
1388C2×C7C2×#52911yescharacteristic
1389C2×C7#345511yescharacteristic
1390C2×C7D4×#4111yescharacteristic
1391C2×C7D4×#4111yescharacteristic
1392C2×C7#347511yescharacteristic
1393C2×C7#347511yescharacteristic
1394D7—42no—
1395D7—81no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—72no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23C2×D4×D712yes—
1434C23D7×#4112yes—
1435C23D7×#4112yes—
1436C23D7×#4112yes—
1437C23D7×#4112yes—
1438C23C24×D711yescharacteristic
1439Q8—284no—
1440D4—148no—
1441D4—284no—
1442D4—284no—
1443D4—284no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
1447C2×C4—21no—
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—44no—
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—72no—
1492C2×C4—72no—
1493C2×C4—72no—
1494C2×C4—148no—
1495C2×C4—148no—
1496C2×C4—148no—
1497C2×C4—148no—
1498C2×C4—148no—
1499C2×C4—148no—
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—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—284no—
1532C2×C4—284no—
1533C2×C4—284no—
1534C2×C4—284no—
1535C2×C4—284no—
1536C2×C4—284no—
1537C2×C4C2×D4×D712yes—
1538C2×C4C2×D4×D712yes—
1539C7#3474011yescharacteristic, complemented, Sylow
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—416no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22#9039714yescomplemented
1576C22C22×D4×D711yescharacteristic
1577C22C2×D7×#4111yescharacteristic
1578C22C2×D7×#4111yescharacteristic
1579C22C2×D7×#4111yescharacteristic
1580C22C2×D7×#4111yescharacteristic
1581C22#9061811yescharacteristic
1582C22#9061811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—74no—
1596C4—142no—
1597C4—142no—
1598C4—142no—
1599C4—142no—
1600C4—142no—
1601C4—142no—
1602C4—142no—
1603C4—142no—
1604C4—281no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4—281no—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—282no—
1613C2—561no—
1614C2D7×#52511yescharacteristic
1615C2C2×#9039711yescharacteristic
1616C2#1174345511yescharacteristic
1617C2#1174369411yescharacteristic
1618C2#1174369411yescharacteristic
1619C2#1174385811yescharacteristic
1620C2#1174385811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2480C2
prime radical#11739554C2
hypercenter#2480D7
hypocenterC7#34740
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C2×#90397C2semidirect
2. C22×#6440C2semidirect
3. C7×#2480C2semidirect
4. #11740524C2semidirect
6. #11734921C2semidirect
7. #11734920C2semidirect
8. #11734917C2semidirect
9. #11734904C2semidirect
10. #11734904C2semidirect
11. #11734902C2semidirect
12. #11734745C2semidirect
13. #11734727C2semidirect
14. #11733310C2semidirect
15. #11733308C2semidirect
16. #11732981C2semidirect
17. #11732896C2semidirect
18. #11732895C2semidirect
19. #11732894C2semidirect
20. #11731866C2semidirect
21. #11731863C2semidirect
22. #11731826C2semidirect
23. #11731822C2semidirect
24. #11731353C2semidirect
25. #11731310C2semidirect
26. #11731274C2semidirect
27. #11731271C2semidirect
28. #11731263C2semidirect
29. #11731263C2semidirect
30. #11730948C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
45. C2×#6459C22semidirect
46. C2×#6457C22semidirect
47. C2×#6456C22semidirect
48. C2×#6455C22semidirect
49. C2×#6452C22semidirect
50. C2×#6450C22semidirect
71. C2×#6439C22semidirect
72. C2×C42×D7C22semidirect
88. #89764C22semidirect
89. #89764C22semidirect
90. #89762C22semidirect
91. #89761C22semidirect
92. #89760C22semidirect
93. #89756C22semidirect
94. #89755C22semidirect
95. #89752C22semidirect
96. #89751C22semidirect
97. #89750C22semidirect
98. #89750C22semidirect
99. #89750C22semidirect
100. C4⋊C4×Dic7C22semidirect
101. C4⋊C4×Dic7C22semidirect
102. C4⋊C4×Dic7C22semidirect
103. #89745C22semidirect
104. #89744C22semidirect
105. #89744C22semidirect
151. #89712C22semidirect
152. C4×(C2×D7)⋊C4C22semidirect
153. #89705C22semidirect
154. #89705C22semidirect
155. C4×Dic7⋊C4C22semidirect
156. C42×Dic7C22semidirect
157. #89448C22semidirect
158. #89448C22semidirect
159. #89447C22semidirect
160. #89447C22semidirect
161. #89444C22semidirect
162. #89442C22semidirect
163. #89441C22semidirect
164. #89441C22semidirect
165. #89441C22semidirect
166. #89440C22semidirect
167. #89438C22semidirect
168. #89438C22semidirect
169. #89438C22semidirect
170. #89438C22semidirect
171. #89438C22semidirect
172. #89430C22semidirect
173. #89430C22semidirect
174. #89430C22semidirect
175. #89429C22semidirect
176. #89429C22semidirect
177. #89427C22semidirect
178. #89427C22semidirect
179. #89425C22semidirect
180. #89424C22semidirect
181. #89424C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89420C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
347. #6440D4semidirect
389. #2480D7semidirect
1135. C22×C7#529semidirect
1539. C7#34740semidirect
1575. C22#90397semidirect

Maximal subgroups

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

subgroupindex
C2×#903972
C22×#64402
C7×#24802
#117405242
#117395542
#117349212
#117349202
#117349172
#117349042
#117349022
#117347452
#117347272
#117333102
#117333082
#117329812
#117328962
#117328952
#117328942
#117318662
#117318632
#117318262
#117318222
#117313532
#117313102
#117312742
#117312712
#117312632
#117309482
C4×(C22⋊D7)⋊C42
#347407