Finite Group Databasebeta

← #13561344

Subgroups — #13561344

Order 1792.

2184 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90331C211yesmaximal, characteristic, complemented
2C2×#90251C211yesmaximal, characteristic, complemented
3C7×#2415C211yesmaximal, characteristic, complemented
4#11740272C211yesmaximal, characteristic, complemented
5#11740264C211yesmaximal, characteristic, complemented
6#11740235C211yesmaximal, characteristic, complemented
7#11739834C211yesmaximal, characteristic, complemented
8#11739720C211yesmaximal, characteristic, complemented
9#11739713C211yesmaximal, characteristic, complemented
10#11735136C211yesmaximal, characteristic, complemented
11#11735134C211yesmaximal, characteristic, complemented
12#11735025C211yesmaximal, characteristic, complemented
13#11735023C211yesmaximal, characteristic, complemented
14#11734587C211yesmaximal, characteristic, complemented
15#11734574C211yesmaximal, characteristic, complemented
16#11734456C211yesmaximal, characteristic, complemented
17#11734453C211yesmaximal, characteristic, complemented
18#11734097C211yesmaximal, characteristic, complemented
19#11734014C211yesmaximal, characteristic, complemented
20#11733731C211yesmaximal, characteristic, complemented
21#11733700C211yesmaximal, characteristic, complemented
22#11733566C211yesmaximal, characteristic, complemented
23#11733561C211yesmaximal, characteristic, complemented
24#11733542C211yesmaximal, characteristic, complemented
25#11733540C211yesmaximal, characteristic, complemented
26#11733402C211yesmaximal, characteristic, complemented
27#11733355C211yesmaximal, characteristic, complemented
28#11733095C211yesmaximal, characteristic, complemented
29#11733064C211yesmaximal, characteristic, complemented
30#11731484C211yesmaximal, characteristic, complemented
31#11731409C211yesmaximal, characteristic, complemented
32C2×C7×C22⋊Q8C2211yescharacteristic
33C2×C7×C22⋊Q8C2211yescharacteristic, complemented
34C2×C4×C7×D4C2211yescharacteristic
35C2×C7×#117C2211yescharacteristic
36C2×#6510C2211yescharacteristic, complemented
37C2×#6507C2211yescharacteristic, complemented
38C2×#6502C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6493C2211yescharacteristic
41C2×#6492C2211yescharacteristic
42C2×#6492C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C22×(C2×D7)⋊C4C2211yescharacteristic
45#90331—28no—
46#90251—28no—
47C2×#6461C2211yescharacteristic
48C2×#6461C2211yescharacteristic, complemented
49C2×#6459C2211yescharacteristic, complemented
50C2×#6459C2211yescharacteristic, complemented
51C2×#6458C2211yescharacteristic
52C2×#6457C2211yescharacteristic
53C2×#6457C2211yescharacteristic, complemented
54C2×#6455C2211yescharacteristic, complemented
55C2×#6450C2211yescharacteristic, complemented
56C2×#6448C2211yescharacteristic
57C2×#6448C2211yescharacteristic
58C2×#6448C2211yescharacteristic
59C2×#6448C2211yescharacteristic
60C2×#6447C2211yescharacteristic
61C2×#6447C2211yescharacteristic
62C2×#6445C2211yescharacteristic
63C2×#6445C2211yescharacteristic
64C2×#6442C2211yescharacteristic
65C2×#6441C2211yescharacteristic
66C2×#6439C2211yescharacteristic
67C2×#6438C2211yescharacteristic
68C2×C42×D7C2211yescharacteristic, complemented
69C7×#397C2211yescharacteristic
70C7×#397C2211yescharacteristic
71C7×#394C2211yescharacteristic
72C7×#394C2211yescharacteristic
73C7×#391C2211yescharacteristic, complemented
74C7×#389C2211yescharacteristic, complemented
75C7×#389C2211yescharacteristic, complemented
76C7×#389C2211yescharacteristic, complemented
77C7×#388C2211yescharacteristic, complemented
78C7×#388C2211yescharacteristic, complemented
79C7×#380C2211yescharacteristic, complemented
80#90003C2211yescharacteristic
81#90003C2211yescharacteristic
82#89995C2211yescharacteristic
83#89994C2211yescharacteristic
84#89985C2211yescharacteristic, complemented
85#89982C2211yescharacteristic, complemented
86C4×C22⋊Dic7C2211yescharacteristic
87#89766C2211yescharacteristic
88#89766C2211yescharacteristic
89#89766C2211yescharacteristic
90#89766C2211yescharacteristic, complemented
91#89765C2211yescharacteristic
92#89765C2211yescharacteristic
93#89765C2211yescharacteristic, complemented
94#89764C2211yescharacteristic
95#89764C2211yescharacteristic
96#89763C2211yescharacteristic
97#89763C2211yescharacteristic
98#89763C2211yescharacteristic
99#89762C2211yescharacteristic
100#89762C2211yescharacteristic
101#89762C2211yescharacteristic
102#89762C2211yescharacteristic
103#89762C2211yescharacteristic
104#89762C2211yescharacteristic
105#89762C2211yescharacteristic, complemented
106#89761C2211yescharacteristic, complemented
107#89761C2211yescharacteristic, complemented
108#89761C2211yescharacteristic, complemented
109#89760C2211yescharacteristic
110#89759C2211yescharacteristic, complemented
111#89753C2211yescharacteristic, complemented
112#89751C2211yescharacteristic, complemented
113#89751C2211yescharacteristic, complemented
114#89750C2211yescharacteristic, complemented
115#89750C2211yescharacteristic, complemented
116#89745C2211yescharacteristic, complemented
117#89744C2211yescharacteristic, complemented
118#89733C2211yescharacteristic
119#89733C2211yescharacteristic, complemented
120#89732C2211yescharacteristic
121#89732C2211yescharacteristic
122#89732C2211yescharacteristic, complemented
123#89731C2211yescharacteristic
124#89731C2211yescharacteristic
125#89730C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic, complemented
130#89728C2211yescharacteristic
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic, complemented
133#89728C2211yescharacteristic, complemented
134#89728C2211yescharacteristic, complemented
135#89727C2211yescharacteristic
136#89727C2211yescharacteristic
137#89727C2211yescharacteristic
138#89724C2211yescharacteristic
139#89724C2211yescharacteristic, complemented
140#89723C2211yescharacteristic, complemented
141#89722C2211yescharacteristic
142#89719C2211yescharacteristic, complemented
143#89717C2211yescharacteristic, complemented
144#89716C2211yescharacteristic
145#89716C2211yescharacteristic
146#89715C2211yescharacteristic
147#89715C2211yescharacteristic
148#89712C2211yescharacteristic
149#89712C2211yescharacteristic
150#89712C2211yescharacteristic, complemented
151#89711C2211yescharacteristic
152#89711C2211yescharacteristic
153C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
154#89705C2211yescharacteristic, complemented
155#89704C2211yescharacteristic, complemented
156C4×Dic7⋊C4C2211yescharacteristic, complemented
157#89447C2211yescharacteristic
158#89447C2211yescharacteristic, complemented
159#89447C2211yescharacteristic, complemented
160#89445C2211yescharacteristic
161#89445C2211yescharacteristic
162#89445C2211yescharacteristic
163#89445C2211yescharacteristic, complemented
164#89444C2211yescharacteristic
165#89444C2211yescharacteristic
166#89444C2211yescharacteristic
167#89443C2211yescharacteristic
168#89441C2211yescharacteristic
169#89441C2211yescharacteristic
170#89441C2211yescharacteristic
171#89441C2211yescharacteristic, complemented
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic, complemented
178#89433C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89430C2211yescharacteristic, complemented
181#89429C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89427C2211yescharacteristic, complemented
184#89426C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36745—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×Dic14C2311yescharacteristic
212C22×Dic14C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C7×C22⋊Q8—24no—
215C7×C22⋊Q8—42no—
216C4×C7×D4—24no—
217C7×#117—42no—
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×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×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249#6510—24no—
250#6507—24no—
251#6502—24no—
252#6500—24no—
253#6493—24no—
254#6492—24no—
255#6492—24no—
256C4×C22⋊D7D418yescomplemented
257C2×(C2×D7)⋊C4—24no—
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322#6461—24no—
323#6461—24no—
324#6459—24no—
325#6459—24no—
326#6458—42no—
327#6457—24no—
328#6457—24no—
329#6455—24no—
330#6450—24no—
331#6448—24no—
332#6448—24no—
333#6448—24no—
334#6448—42no—
335#6447—24no—
336#6447—24no—
337#6445—24no—
338#6445—42no—
339#6442—24no—
340#6441—24no—
341#6439—24no—
342#6438—24no—
343C42×D7—42no—
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7×#95C2311yescharacteristic
348C7×#95C2311yescharacteristic
349C7×#95C2311yescharacteristic
350C7×#95C2311yescharacteristic
351C7×#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C2×#542—71no—
381C2×#538—71no—
382#2854—71no—
383#2850—71no—
384#2723—71no—
385#2716—71no—
386#2715—71no—
387#2712—71no—
388#2700—71no—
389#2698—71no—
390#2696—71no—
391#2691—71no—
392#2688—71no—
393#2686—71no—
394#2685—71no—
395#2684—71no—
396#2676—71no—
397#2674—71no—
398#2670—71no—
399#2668—71no—
400#2663—71no—
401#2661—71no—
402#2610—71no—
403#2604—71no—
404#2602—71no—
405#2601—71no—
406#2592—71no—
407#2561—71no—
408#2415D711yescharacteristic, complemented
409#2411—71no—
410#2290—71no—
411C24×C7C2411yescharacteristic
412C24×C7C2411yescharacteristic
413C23×D7—22no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7—41no—
418C23×D7—41no—
419C23×D7—41no—
420C23×D7C2411yescharacteristic
421C23×D7C2411yescharacteristic
422C23×D7C2411yescharacteristic
423C23×D7C2411yescharacteristic
424C2×C7×Q8—22no—
425C2×C7×Q8—41no—
426C2×C7×Q8—41no—
427C2×C7×D4—22no—
428C2×C7×D4—41no—
429C2×C7×D4—41no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7C2×D414yes—
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
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7C2×D414yes—
467C22×Dic7—22no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—22no—
486C2×D28—41no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
493C2×D28—41no—
494C2×D28—41no—
495C2×D28—41no—
496C2×D28—41no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7C2×D414yes—
509C2×Dic14—22no—
510C2×Dic14—22no—
511C2×Dic14—22no—
512C2×Dic14—41no—
513C2×Dic14—41no—
514C2×Dic14—41no—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14—41no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—22no—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—41no—
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—41no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C7×C22⋊C4—41no—
538C42×C7—22no—
539C42×C7—22no—
540C42×C7—41no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548C22⋊Dic7C2×D414yes—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4C2×D414yes—
587C4⋊Dic7—22no—
588C4⋊Dic7—22no—
589C4⋊Dic7—41no—
590C4⋊Dic7—41no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—22no—
597Dic7⋊C4—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603Dic7⋊C4—41no—
604Dic7⋊C4C2×D414yes—
605C4×Dic7—22no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—41no—
610C4×Dic7—41no—
611C4×Dic7—41no—
612C4×Dic7C2×D414yes—
613#542—148no—
614#538—148no—
615C2×C4⋊Q8—71no—
616C2×#126—71no—
617C2×#126—71no—
618C2×#126—71no—
619C2×#126—71no—
620C2×#124—71no—
621C2×#124—71no—
622C2×#124—71no—
623C2×#124—71no—
624C2×#124—71no—
625C2×#124—71no—
626C2×#123—71no—
627C2×#123—71no—
628C2×#123—71no—
629C2×#123—71no—
630C2×C22⋊Q8—71no—
631C2×C22⋊Q8—71no—
632C2×C22⋊Q8—71no—
633C2×C22⋊Q8C2×D711yescharacteristic
634C2×C22⋊Q8C2×D711yescharacteristic, complemented
635C2×#121—71no—
636C2×#121—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×#121—71no—
640C2×#120—71no—
641C2×#120—71no—
642C2×#120—71no—
643C2×C4×Q8—71no—
644C2×C4×D4—71no—
645C2×C4×D4C2×D711yescharacteristic
646C2×#117—71no—
647C2×#117C2×D711yescharacteristic
648C22×C22⋊C4—71no—
649C22×C42—71no—
650#400—71no—
651#400—71no—
652#399—71no—
653#399—71no—
654#398—71no—
655#398—71no—
656#397—71no—
657#397—71no—
658#397—71no—
659#397—71no—
660#397—71no—
661#397—71no—
662#397—71no—
663#397—71no—
664#397C2×D711yescharacteristic
665#397C2×D711yescharacteristic
666#396—71no—
667#396—71no—
668#396—71no—
669#396—71no—
670#395—71no—
671#395—71no—
672#395—71no—
673#394—71no—
674#394—71no—
675#394—71no—
676#394—71no—
677#394—71no—
678#394—71no—
679#394—71no—
680#394—71no—
681#394—71no—
682#394—71no—
683#394—71no—
684#394C2×D711yescharacteristic
685#394C2×D711yescharacteristic
686#393—71no—
687#393—71no—
688#393—71no—
689#393—71no—
690#393—71no—
691#393—71no—
692#393—71no—
693#392—71no—
694#392—71no—
695#392—71no—
696#392—71no—
697#392—71no—
698#391—71no—
699#391—71no—
700#391—71no—
701#391C2×D711yescharacteristic, complemented
702#390—71no—
703#390—71no—
704#390—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#389—71no—
710#389—71no—
711#389C2×D711yescharacteristic, complemented
712#389C2×D711yescharacteristic, complemented
713#389C2×D711yescharacteristic, complemented
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388C2×D711yescharacteristic, complemented
733#388C2×D711yescharacteristic, complemented
734#387—71no—
735#387—71no—
736#387—71no—
737#387—71no—
738#387—71no—
739#387—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#385—71no—
754#385—71no—
755#385—71no—
756#385—71no—
757#385—71no—
758#382—71no—
759#381—71no—
760#381—71no—
761#380—71no—
762#380C2×D711yescharacteristic, complemented
763#379—71no—
764#379—71no—
765#379—71no—
766C4×C4⋊C4—71no—
767C4×C22⋊C4—71no—
768C4×C22⋊C4—71no—
769#376—71no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7C22×D412yes—
784C23×C7C2511yescharacteristic
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—44no—
813C22×D7—82no—
814C22×D7—82no—
815C22×D7—82no—
816C22×D7—82no—
817C22×D7—82no—
818C22×D7—82no—
819C22×D7C22×D412yes—
820C7×Q8—82no—
821C7×D4—44no—
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—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—44no—
859C2×C4×C7—82no—
860C2×C4×C7C22×D412yes—
861C2×C4×C7C22×D412yes—
862C2×C4×C7H(5,𝔽2)12yes—
863C22⋊D7—44no—
864C22⋊D7—82no—
865C22⋊D7—82no—
866C22⋊D7—82no—
867C22⋊D7—82no—
868C22⋊D7—82no—
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—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—82no—
903C2×Dic7C22×D412yes—
904C2×Dic7C22×D412yes—
905C2×Dic7C22×D412yes—
906D28—82no—
907D28—82no—
908D28—82no—
909D28—82no—
910D28—82no—
911C4×D7—44no—
912C4×D7—44no—
913C4×D7—44no—
914C4×D7—44no—
915Dic14—44no—
916Dic14—82no—
917Dic14—82no—
918C25—71no—
919C22×Q8—71no—
920C22×Q8—71no—
921C22×Q8—71no—
922C22×Q8C22×D711yescharacteristic
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4—71no—
928C22×D4—71no—
929C22×D4—71no—
930C22×D4—71no—
931C22×D4—71no—
932C22×D4—71no—
933C22×D4—71no—
934C22×D4C22×D711yescharacteristic
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C4⋊Q8—144no—
943#126—144no—
944#126—144no—
945#126—144no—
946#126—144no—
947#124—144no—
948#124—144no—
949#124—144no—
950#124—144no—
951#124—144no—
952#124—282no—
953#123—144no—
954#123—144no—
955#123—144no—
956#123—144no—
957C22⋊Q8—24no—
958C22⋊Q8—42no—
959C22⋊Q8—144no—
960C22⋊Q8—144no—
961C22⋊Q8—144no—
962#121—144no—
963#121—144no—
964#121—144no—
965#121—144no—
966#121—282no—
967#120—144no—
968#120—144no—
969#120—282no—
970C4×Q8—144no—
971C4×D4—24no—
972C4×D4—78no—
973#117—42no—
974#117—144no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4C22×D711yescharacteristic
994C2×C4⋊C4C22×D711yescharacteristic
995C2×C4⋊C4C22×D711yescharacteristic
996C2×C4⋊C4C22×D711yescharacteristic
997C2×C4⋊C4C22×D711yescharacteristic
998C2×C4⋊C4C22×D711yescharacteristic
999C2×C4⋊C4C22×D711yescharacteristic
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—144no—
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C22⋊C4C22×D711yescharacteristic
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
1055C2×C22⋊C4C22×D711yescharacteristic
1056C2×C22⋊C4C22×D711yescharacteristic
1057C2×C22⋊C4C22×D711yescharacteristic
1058C2×C22⋊C4C22×D711yescharacteristic
1059C2×C22⋊C4C22×D711yescharacteristic
1060C2×C42—71no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42—282no—
1069C2×C42C22×D711yescharacteristic
1070C2×C42C22×D711yescharacteristic
1071C2×C42C22×D711yescharacteristic
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95C22×D711yescharacteristic
1101#95C22×D711yescharacteristic
1102#95C22×D711yescharacteristic
1103#95C22×D711yescharacteristic
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7C23×D411yescharacteristic
1123C22×C7C2×H(5,𝔽2)11yescharacteristic
1124C22×C7#58511yescharacteristic
1125C22×C7#58511yescharacteristic
1126C22×C7#58511yescharacteristic
1127C22×C7#58511yescharacteristic
1128C22×C7#58511yescharacteristic
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—88no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—41no—
1162C4×C7—41no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7—41no—
1169C4×C7—41no—
1170C4×C7—41no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—22no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183C24—71no—
1184C24—71no—
1185C24—71no—
1186C24—71no—
1187C24—142no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24—281no—
1192C24—281no—
1193C24—281no—
1194C24C23×D711yescharacteristic
1195C24C23×D711yescharacteristic
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—142no—
1200C2×Q8—142no—
1201C2×Q8—142no—
1202C2×Q8—281no—
1203C2×Q8—281no—
1204C2×Q8—281no—
1205C2×Q8—281no—
1206C2×Q8—281no—
1207C2×Q8—281no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—74no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—142no—
1217C2×D4—142no—
1218C2×D4—142no—
1219C2×D4—142no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—281no—
1229C2×D4—281no—
1230C2×D4—281no—
1231C2×D4—281no—
1232C2×D4—281no—
1233C2×D4—281no—
1234C2×D4—281no—
1235C2×D4—281no—
1236C2×D4—281no—
1237C2×D4—281no—
1238C2×D4—281no—
1239C2×D4—281no—
1240C2×D4—281no—
1241C2×D4—281no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—71no—
1250C22×C4—71no—
1251C22×C4—71no—
1252C22×C4—74no—
1253C22×C4—71no—
1254C22×C4—71no—
1255C22×C4—71no—
1256C22×C4—71no—
1257C22×C4—71no—
1258C22×C4—71no—
1259C22×C4—71no—
1260C22×C4—71no—
1261C22×C4—71no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—281no—
1266C22×C4—281no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4D4×D714yes—
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—74no—
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—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—74no—
1329C22⋊C4—74no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C42—22no—
1375C42—22no—
1376C42—41no—
1377C42—74no—
1378C42—142no—
1379C42—142no—
1380C42—142no—
1381C42—142no—
1382C42—281no—
1383C42—281no—
1384C42—281no—
1385C2×C7—42no—
1386C2×C7—81no—
1387C2×C7#344911yescharacteristic
1388C2×C7#349611yescharacteristic
1389C2×C7#350011yescharacteristic
1390C2×C7#353311yescharacteristic
1391C2×C7#354011yescharacteristic
1392C2×C7#356611yescharacteristic
1393C2×C7#356811yescharacteristic
1394D7—42no—
1395D7—81no—
1396D7—81no—
1397D7—81no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—72no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—284no—
1440C23—562no—
1441C23—562no—
1442C23—562no—
1443C23—562no—
1444C23—562no—
1445C23—562no—
1446C23C2×D4×D712yes—
1447C23C24×D711yescharacteristic
1448Q8—82no—
1449Q8—284no—
1450Q8—562no—
1451Q8—562no—
1452D4—44no—
1453D4—284no—
1454D4—562no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
1458D4—562no—
1459D4—562no—
1460D4—562no—
1461D4—562no—
1462D4—562no—
1463D4—562no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—44no—
1501C2×C4—72no—
1502C2×C4—72no—
1503C2×C4—72no—
1504C2×C4—82no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—284no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—284no—
1542C2×C4—562no—
1543C2×C4C2×D4×D712yes—
1544C2×C4C2×D4×D712yes—
1545C2×C4#654812yes—
1546C7#3674511yescharacteristic, complemented, Sylow
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
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—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—568no—
1590C22C22×D4×D711yescharacteristic
1591C22C2×#654811yescharacteristic
1592C22#9061611yescharacteristic
1593C22#9061611yescharacteristic
1594C22#9061611yescharacteristic
1595C22#9062011yescharacteristic
1596C22#9062011yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—142no—
1611C4—142no—
1612C4—142no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C2—42no—
1623C2—81no—
1624C2—282no—
1625C2—561no—
1626C2—561no—
1627C2—561no—
1628C2#1174301811yescharacteristic
1629C2#1174310311yescharacteristic
1630C2#1174340911yescharacteristic
1631C2#1174377211yescharacteristic
1632C2#1174380811yescharacteristic
1633C2#1174394011yescharacteristic
1634C2#1174407011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2415C2
hypercenter#2415D7
hypocenterC7#36745
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2415

Complements

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

NH ≅ G/Ntype
1. C2×#90331C2semidirect
2. C2×#90251C2semidirect
3. C7×#2415C2semidirect
4. #11740272C2semidirect
5. #11740264C2semidirect
6. #11740235C2semidirect
7. #11739834C2semidirect
8. #11739720C2semidirect
9. #11739713C2semidirect
10. #11735136C2semidirect
11. #11735134C2semidirect
12. #11735025C2semidirect
13. #11735023C2semidirect
14. #11734587C2semidirect
15. #11734574C2semidirect
16. #11734456C2semidirect
17. #11734453C2semidirect
18. #11734097C2semidirect
19. #11734014C2semidirect
20. #11733731C2semidirect
21. #11733700C2semidirect
22. #11733566C2semidirect
23. #11733561C2semidirect
24. #11733542C2semidirect
25. #11733540C2semidirect
26. #11733402C2semidirect
27. #11733355C2semidirect
28. #11733095C2semidirect
29. #11733064C2semidirect
30. #11731484C2semidirect
31. #11731409C2semidirect
33. C2×C7×C22⋊Q8C22semidirect
36. C2×#6510C22semidirect
37. C2×#6507C22semidirect
48. C2×#6461C22semidirect
49. C2×#6459C22semidirect
50. C2×#6459C22semidirect
53. C2×#6457C22semidirect
54. C2×#6455C22semidirect
55. C2×#6450C22semidirect
68. C2×C42×D7C22semidirect
73. C7×#391C22semidirect
74. C7×#389C22semidirect
75. C7×#389C22semidirect
76. C7×#389C22semidirect
77. C7×#388C22semidirect
78. C7×#388C22semidirect
79. C7×#380C22semidirect
84. #89985C22semidirect
85. #89982C22semidirect
90. #89766C22semidirect
93. #89765C22semidirect
105. #89762C22semidirect
106. #89761C22semidirect
107. #89761C22semidirect
108. #89761C22semidirect
110. #89759C22semidirect
111. #89753C22semidirect
112. #89751C22semidirect
113. #89751C22semidirect
114. #89750C22semidirect
115. #89750C22semidirect
116. #89745C22semidirect
117. #89744C22semidirect
119. #89733C22semidirect
122. #89732C22semidirect
129. #89729C22semidirect
132. #89728C22semidirect
133. #89728C22semidirect
134. #89728C22semidirect
139. #89724C22semidirect
140. #89723C22semidirect
142. #89719C22semidirect
143. #89717C22semidirect
150. #89712C22semidirect
153. C4×(C2×D7)⋊C4C22semidirect
154. #89705C22semidirect
155. #89704C22semidirect
156. C4×Dic7⋊C4C22semidirect
158. #89447C22semidirect
159. #89447C22semidirect
163. #89445C22semidirect
171. #89441C22semidirect
177. #89437C22semidirect
178. #89433C22semidirect
179. #89430C22semidirect
180. #89430C22semidirect
181. #89429C22semidirect
182. #89428C22semidirect
183. #89427C22semidirect
184. #89426C22semidirect
185. #89422C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
256. C4×C22⋊D7D4semidirect
408. #2415D7semidirect
634. C2×C22⋊Q8C2×D7semidirect
701. #391C2×D7semidirect
711. #389C2×D7semidirect
712. #389C2×D7semidirect
713. #389C2×D7semidirect
732. #388C2×D7semidirect
733. #388C2×D7semidirect
762. #380C2×D7semidirect
1546. C7#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#903312
C2×#902512
C7×#24152
#117402722
#117402642
#117402352
#117398342
#117397202
#117397132
#117351362
#117351342
#117350252
#117350232
#117345872
#117345742
#117344562
#117344532
#117340972
#117340142
#117337312
#117337002
#117335662
#117335612
#117335422
#117335402
#117334022
#117333552
#117330952
#117330642
#117314842
#117314092
#367457