Finite Group Databasebeta

← #14217022

Subgroups — #14217022

Order 1792.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2476C211yesmaximal, characteristic, complemented
2#11740159C211yesmaximal, characteristic
3#11740081C211yesmaximal, characteristic, complemented
4#11739720C211yesmaximal, characteristic, complemented
5#11739674C211yesmaximal, characteristic, complemented
6#11735350C211yesmaximal, characteristic, complemented
7#11735199C211yesmaximal, characteristic, complemented
8#11734596C211yesmaximal, characteristic, complemented
9#11734564C211yesmaximal, characteristic, complemented
10#11734554C211yesmaximal, characteristic, complemented
11#11734412C211yesmaximal, characteristic, complemented
12#11734408C211yesmaximal, characteristic, complemented
13#11734354C211yesmaximal, characteristic, complemented
14#11733816C211yesmaximal, characteristic, complemented
15#11733738C211yesmaximal, characteristic, complemented
16#11733341C211yesmaximal, characteristic, complemented
17#11733323C211yesmaximal, characteristic, complemented
18#11733281C211yesmaximal, characteristic, complemented
19#11733233C211yesmaximal, characteristic, complemented
20#11733040C211yesmaximal, characteristic, complemented
21#11732964C211yesmaximal, characteristic, complemented
22#11732500C211yesmaximal, characteristic, complemented
23#11732384C211yesmaximal, characteristic, complemented
24#11732324C211yesmaximal, characteristic, complemented
25#11732324C211yesmaximal, characteristic, complemented
26#11732200C211yesmaximal, characteristic, complemented
27#11732158C211yesmaximal, characteristic, complemented
28#11731930C211yesmaximal, characteristic, complemented
29#11731892C211yesmaximal, characteristic, complemented
30#11730924C211yesmaximal, characteristic, complemented
31#11730912C211yesmaximal, characteristic, complemented
32C2×C7×#121C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic
34C2×#6503C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×#6500C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×D4×Dic7C2211yescharacteristic
39C2×D4×Dic7C2211yescharacteristic, complemented
40C2×#6493C2211yescharacteristic
41C2×#6492C2211yescharacteristic
42C22×(C2×D7)⋊C4C2211yescharacteristic
43C22×C4⋊Dic7C2211yescharacteristic, complemented
44C2×#6461C2211yescharacteristic, complemented
45C2×#6456C2211yescharacteristic
46C2×#6455C2211yescharacteristic
47C2×#6446C2211yescharacteristic
48C2×#6446C2211yescharacteristic
49C2×#6445C2211yescharacteristic
50C2×(C22⋊D7)⋊C4C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
54C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×D7×C22⋊C4C2211yescharacteristic
57C2×#6442C2211yescharacteristic, complemented
58C2×C4×D28C2211yescharacteristic
59C7×#398C2211yescharacteristic, complemented
60C7×#394C2211yescharacteristic
61C7×#394C2211yescharacteristic
62C7×#394C2211yescharacteristic, complemented
63C7×#390C2211yescharacteristic, complemented
64C7×#388C2211yescharacteristic
65C7×#388C2211yescharacteristic, complemented
66C7×#388C2211yescharacteristic, complemented
67C7×#387C2211yescharacteristic, complemented
68C7×#386C2211yescharacteristic
69C7×#386C2211yescharacteristic
70C7×#385C2211yescharacteristic, complemented
71C4×C7×C22⋊C4C2211yescharacteristic, complemented
72#89995C2211yescharacteristic
73#89995C2211yescharacteristic
74#89995C2211yescharacteristic
75#89993C2211yescharacteristic
76#89992C2211yescharacteristic
77#89992C2211yescharacteristic, complemented
78#89985C2211yescharacteristic
79C4×C22⋊Dic7C2211yescharacteristic
80C4×C22⋊Dic7C2211yescharacteristic
81C4×C22⋊Dic7C2211yescharacteristic, complemented
82#89766C2211yescharacteristic
83#89766C2211yescharacteristic
84#89766C2211yescharacteristic
85#89766C2211yescharacteristic
86#89763C2211yescharacteristic
87#89763C2211yescharacteristic
88#89763C2211yescharacteristic
89#89762C2211yescharacteristic
90#89762C2211yescharacteristic, complemented
91#89761C2211yescharacteristic
92#89759C2211yescharacteristic
93#89757C2211yescharacteristic, complemented
94#89756C2211yescharacteristic, complemented
95#89755C2211yescharacteristic, complemented
96#89753C2211yescharacteristic, complemented
97#89753C2211yescharacteristic, complemented
98#89753C2211yescharacteristic, complemented
99#89753C2211yescharacteristic, complemented
100#89753C2211yescharacteristic, complemented
101#89748C2211yescharacteristic, complemented
102C4⋊C4×Dic7C2211yescharacteristic, complemented
103#89733C2211yescharacteristic
104#89733C2211yescharacteristic
105#89733C2211yescharacteristic
106#89733C2211yescharacteristic, complemented
107#89733C2211yescharacteristic, complemented
108#89732C2211yescharacteristic
109#89731C2211yescharacteristic, complemented
110#89730C2211yescharacteristic
111#89730C2211yescharacteristic
112#89730C2211yescharacteristic
113#89730C2211yescharacteristic
114#89730C2211yescharacteristic, complemented
115#89729C2211yescharacteristic
116#89729C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic
119#89729C2211yescharacteristic, complemented
120#89729C2211yescharacteristic, complemented
121#89728C2211yescharacteristic
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89727C2211yescharacteristic
126#89724C2211yescharacteristic, complemented
127#89723C2211yescharacteristic
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic
130#89723C2211yescharacteristic
131#89723C2211yescharacteristic, complemented
132#89723C2211yescharacteristic, complemented
133#89722C2211yescharacteristic
134#89722C2211yescharacteristic, complemented
135#89720C2211yescharacteristic
136#89720C2211yescharacteristic
137#89718C2211yescharacteristic
138#89718C2211yescharacteristic
139#89718C2211yescharacteristic, complemented
140#89717C2211yescharacteristic, complemented
141#89716C2211yescharacteristic, complemented
142#89715C2211yescharacteristic, complemented
143#89714C2211yescharacteristic, complemented
144#89712C2211yescharacteristic
145#89712C2211yescharacteristic
146#89711C2211yescharacteristic
147#89711C2211yescharacteristic
148C4×(C2×D7)⋊C4C2211yescharacteristic
149C4×C4⋊Dic7C2211yescharacteristic, complemented
150C4×C4⋊Dic7C2211yescharacteristic, complemented
151#89705C2211yescharacteristic, complemented
152#89704C2211yescharacteristic, complemented
153C42×Dic7C2211yescharacteristic, complemented
154#89700C2211yescharacteristic, complemented
155#89446C2211yescharacteristic, complemented
156#89442C2211yescharacteristic
157#89442C2211yescharacteristic
158#89442C2211yescharacteristic
159#89442C2211yescharacteristic, complemented
160#89442C2211yescharacteristic, complemented
161#89441C2211yescharacteristic
162#89441C2211yescharacteristic
163#89441C2211yescharacteristic
164#89441C2211yescharacteristic, complemented
165#89440C2211yescharacteristic
166#89440C2211yescharacteristic
167#89440C2211yescharacteristic
168#89440C2211yescharacteristic
169#89440C2211yescharacteristic, complemented
170#89438C2211yescharacteristic
171#89438C2211yescharacteristic
172#89438C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89436C2211yescharacteristic
176#89436C2211yescharacteristic, complemented
177#89433C2211yescharacteristic, complemented
178#89432C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89429C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89426C2211yescharacteristic, complemented
184#89425C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#60040—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C7×#121—24no—
213C7×#117—24no—
214C2×C7×C4⋊C4C2311yescharacteristic
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
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×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
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#6503—24no—
249#6500—24no—
250#6500—24no—
251D4×Dic7—42no—
252D4×Dic7—42no—
253D4×Dic7—42no—
254#6493—24no—
255#6492—42no—
256C2×(C2×D7)⋊C4—42no—
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
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×C4⋊Dic7—42no—
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
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
319#6461—42no—
320#6456—42no—
321#6455—24no—
322#6446—24no—
323#6446—42no—
324#6445—24no—
325(C22⋊D7)⋊C4—42no—
326(C22⋊D7)⋊C4—42no—
327(C22⋊D7)⋊C4—42no—
328(C22⋊D7)⋊C4—42no—
329(C22⋊D7)⋊C4—42no—
330D7×C22⋊C4—42no—
331D7×C22⋊C4—42no—
332#6442—42no—
333C4×D28—42no—
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
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
370#2790—71no—
371#2790—71no—
372#2709—71no—
373#2669—71no—
374#2603—71no—
375#2603—71no—
376#2600—71no—
377#2600—71no—
378#2579—71no—
379#2554—71no—
380#2554—71no—
381#2534—71no—
382#2526—71no—
383#2526—71no—
384#2476—71no—
385#2476D711yescharacteristic, complemented
386#2468—71no—
387#2468—71no—
388#2457—71no—
389#2457—71no—
390#2411—71no—
391#2411—71no—
392#2374—71no—
393#2361—71no—
394#2361—71no—
395#2358—71no—
396#2358—71no—
397#2358—71no—
398C4×#127—71no—
399#2298—71no—
400#2298—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C24×C7C2411yescharacteristic
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×D4—22no—
415C2×C7×D4—22no—
416C2×C7×D4—22no—
417C2×C7×D4—22no—
418C2×C7×D4—22no—
419C2×C7×D4—22no—
420C2×C7×D4—41no—
421C2×C7×D4—41no—
422C2×C7×D4—41no—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C2×C22⋊D7—22no—
442C2×C22⋊D7—22no—
443C2×C22⋊D7—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
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#4114yes—
462C22×Dic7—22no—
463C22×Dic7—22no—
464C22×Dic7—41no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7—41no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C2×D28—22no—
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—22no—
491C2×D28—41no—
492C2×D28—41no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—41no—
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—
508C7×C4⋊C4—22no—
509C7×C4⋊C4—22no—
510C7×C4⋊C4—22no—
511C7×C4⋊C4—22no—
512C7×C4⋊C4—41no—
513C7×C4⋊C4—41no—
514C7×C22⋊C4—22no—
515C7×C22⋊C4—22no—
516C7×C22⋊C4—22no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—41no—
520C7×C22⋊C4—41no—
521C7×C22⋊C4—41no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4#4114yes—
527C42×C7—22no—
528C42×C7—22no—
529C42×C7—41no—
530C22⋊Dic7—22no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—41no—
538C22⋊Dic7—41no—
539C22⋊Dic7—41no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
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—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4#4114yes—
569C4⋊Dic7—22no—
570C4⋊Dic7—22no—
571C4⋊Dic7—22no—
572C4⋊Dic7—22no—
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579C4⋊Dic7—41no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—41no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—22no—
598C4×Dic7—22no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C2×#127—71no—
604C2×#126—71no—
605C2×#126—71no—
606C2×#123—71no—
607C2×#123—71no—
608C2×#123—71no—
609C2×#121—71no—
610C2×#121C2×D711yescharacteristic
611C2×#120—71no—
612C2×#120—71no—
613C2×#120—71no—
614C2×C4×D4—71no—
615C2×C4×D4—71no—
616C2×C4×D4—71no—
617C2×C4×D4—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×#117—71no—
625C2×#117C2×D711yescharacteristic
626C22×C4⋊C4—71no—
627C22×C22⋊C4—71no—
628C22×C22⋊C4—71no—
629C22×C22⋊C4—71no—
630#400—71no—
631#400—71no—
632#398—71no—
633#398—71no—
634#398—71no—
635#398—71no—
636#398—71no—
637#398C2×D711yescharacteristic, complemented
638#397—71no—
639#397—71no—
640#396—71no—
641#396—71no—
642#396—71no—
643#396—71no—
644#396—71no—
645#396—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394—71no—
654#394—71no—
655#394C2×D711yescharacteristic
656#394C2×D711yescharacteristic
657#394C2×D711yescharacteristic, complemented
658#392—71no—
659#392—71no—
660#392—71no—
661#392—71no—
662#390—71no—
663#390—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390—71no—
670#390—71no—
671#390C2×D711yescharacteristic, complemented
672#389—71no—
673#389—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#388—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388C2×D711yescharacteristic
696#388C2×D711yescharacteristic, complemented
697#388C2×D711yescharacteristic, complemented
698#387—71no—
699#387—71no—
700#387—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#387C2×D711yescharacteristic, complemented
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#386C2×D711yescharacteristic
723#386C2×D711yescharacteristic
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385—71no—
735#385C2×D711yescharacteristic, complemented
736#384—71no—
737#381—71no—
738#381—71no—
739#381—71no—
740#380—71no—
741#380—71no—
742#379—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4C2×D711yescharacteristic, complemented
755#376—71no—
756#376—71no—
757C43—71no—
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7C2×#4112yes—
778C23×C7C2×#4112yes—
779C23×C7C2511yescharacteristic
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
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—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—82no—
803C22×D7—82no—
804C22×D7—82no—
805C22×D7—82no—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C7×D4—44no—
809C7×D4—44no—
810C7×D4—44no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
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—44no—
844C2×C4×C7—44no—
845C2×C4×C7C2×#4112yes—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7H(5,𝔽2)12yes—
849C22⋊D7—44no—
850C22⋊D7—44no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—82no—
855C22⋊D7—82no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
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—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—82no—
892C2×Dic7—82no—
893C2×Dic7—82no—
894C2×Dic7—82no—
895C2×Dic7C2×#4112yes—
896C2×Dic7C2×#4112yes—
897C2×Dic7H(5,𝔽2)12yes—
898C2×Dic7H(5,𝔽2)12yes—
899D28—44no—
900D28—44no—
901C4×D7—44no—
902C4×D7—82no—
903C4×D7—82no—
904C4×D7—82no—
905C4×D7—82no—
906C25—71no—
907C22×D4—71no—
908C22×D4—71no—
909C22×D4—71no—
910C22×D4—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4C22×D711yescharacteristic
917C22×D4C22×D711yescharacteristic
918C22×D4C22×D711yescharacteristic
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4C22×D711yescharacteristic
929C23×C4C22×D711yescharacteristic
930#127—144no—
931#126—282no—
932#126—282no—
933#123—144no—
934#123—282no—
935#123—282no—
936#121—24no—
937#121—144no—
938#120—144no—
939#120—144no—
940#120—144no—
941C4×D4—282no—
942C4×D4—282no—
943C4×D4—282no—
944C4×D4—282no—
945C4×D4—282no—
946C4×D4—282no—
947C4×D4—282no—
948C4×D4—282no—
949C4×D4—282no—
950C4×D4—282no—
951#117—24no—
952#117—144no—
953C2×C4⋊C4—71no—
954C2×C4⋊C4—71no—
955C2×C4⋊C4—71no—
956C2×C4⋊C4—71no—
957C2×C4⋊C4—71no—
958C2×C4⋊C4—71no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—282no—
976C2×C4⋊C4C22×D711yescharacteristic
977C2×C4⋊C4C22×D711yescharacteristic
978C2×C4⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—71no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
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—282no—
1022C2×C22⋊C4—282no—
1023C2×C22⋊C4—282no—
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
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#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088C22×C7—22no—
1089C22×C7—22no—
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—22no—
1094C22×C7—41no—
1095C22×C7—41no—
1096C22×C7—41no—
1097C22×C7—41no—
1098C22×C7—41no—
1099C22×C7—41no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7C22×#4111yescharacteristic
1110C22×C7C22×#4111yescharacteristic
1111C22×C7C22×#4111yescharacteristic
1112C22×C7C2×H(5,𝔽2)11yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7#58511yescharacteristic
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—88no—
1138C4×C7—22no—
1139C4×C7—22no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—41no—
1143C4×C7—41no—
1144C4×C7—41no—
1145C4×C7—41no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150Dic7—22no—
1151Dic7—22no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—41no—
1155Dic7—41no—
1156Dic7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163C24—71no—
1164C24—71no—
1165C24—71no—
1166C24—142no—
1167C24—142no—
1168C24—142no—
1169C24—281no—
1170C24—281no—
1171C24—281no—
1172C24—281no—
1173C24C23×D711yescharacteristic
1174C24C23×D711yescharacteristic
1175C24C23×D711yescharacteristic
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—74no—
1186C2×D4—142no—
1187C2×D4—142no—
1188C2×D4—142no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4—281no—
1203C2×D4—281no—
1204C2×D4—281no—
1205C2×D4—281no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4—281no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4C23×D711yescharacteristic
1259C22×C4C23×D711yescharacteristic
1260C22×C4C23×D711yescharacteristic
1261C22×C4C23×D711yescharacteristic
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—142no—
1277C4⋊C4—142no—
1278C4⋊C4—142no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—281no—
1285C4⋊C4—281no—
1286C4⋊C4—281no—
1287C4⋊C4—281no—
1288C4⋊C4—281no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—74no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4#115914yes—
1350C42—22no—
1351C42—22no—
1352C42—41no—
1353C42—142no—
1354C42—142no—
1355C42—142no—
1356C42—142no—
1357C42—142no—
1358C42—142no—
1359C42—142no—
1360C42—142no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C2×C7—42no—
1366C2×C7—42no—
1367C2×C7—81no—
1368C2×C7#348111yescharacteristic
1369C2×C7#348111yescharacteristic
1370C2×C7#348111yescharacteristic
1371C2×C7#349411yescharacteristic
1372C2×C7#349411yescharacteristic
1373C2×C7#350511yescharacteristic
1374C2×C7#354311yescharacteristic
1375D7—42no—
1376D7—42no—
1377D7—81no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—72no—
1398C23—72no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—284no—
1419C23—284no—
1420C23—284no—
1421C23—562no—
1422C23—562no—
1423C23—562no—
1424C23—562no—
1425C23C2×#115912yes—
1426C23D7×#4112yes—
1427C23C24×D711yescharacteristic
1428D4—44no—
1429D4—44no—
1430D4—44no—
1431D4—284no—
1432D4—284no—
1433D4—284no—
1434D4—284no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—562no—
1439D4—562no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
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—44no—
1473C2×C4—44no—
1474C2×C4—72no—
1475C2×C4—72no—
1476C2×C4—72no—
1477C2×C4—72no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
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—284no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4—562no—
1520C2×C4—562no—
1521C2×C4—562no—
1522C2×C4C2×#115912yes—
1523C2×C4C2×#115912yes—
1524C2×C4D7×#4112yes—
1525C2×C4#655312yes—
1526C7#6004011yescharacteristic, complemented, Sylow
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—568no—
1570C22C22×#115911yescharacteristic
1571C22C2×D7×#4111yescharacteristic
1572C22C2×D7×#4111yescharacteristic
1573C22C2×#655311yescharacteristic
1574C22#9061611yescharacteristic
1575C22D7×H(5,𝔽2)11yescharacteristic
1576C22D7×H(5,𝔽2)11yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—142no—
1590C4—142no—
1591C4—142no—
1592C4—142no—
1593C4—281no—
1594C4—281no—
1595C4—281no—
1596C4—281no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C2—42no—
1603C2—42no—
1604C2—81no—
1605C2—282no—
1606C2—282no—
1607C2—561no—
1608C2#1174309511yescharacteristic
1609C2#1174322111yescharacteristic
1610C2#1174356111yescharacteristic
1611C2#1174369611yescharacteristic
1612C2#1174369611yescharacteristic
1613C2#1174398011yescharacteristic
1614C2#1174402811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2476C2
prime radical#11740159C2
hypercenter#2476D7
hypocenterC7#60040
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2476

Complements

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

NH ≅ G/Ntype
1. C7×#2476C2semidirect
3. #11740081C2semidirect
4. #11739720C2semidirect
5. #11739674C2semidirect
6. #11735350C2semidirect
7. #11735199C2semidirect
8. #11734596C2semidirect
9. #11734564C2semidirect
10. #11734554C2semidirect
11. #11734412C2semidirect
12. #11734408C2semidirect
13. #11734354C2semidirect
14. #11733816C2semidirect
15. #11733738C2semidirect
16. #11733341C2semidirect
17. #11733323C2semidirect
18. #11733281C2semidirect
19. #11733233C2semidirect
20. #11733040C2semidirect
21. #11732964C2semidirect
22. #11732500C2semidirect
23. #11732384C2semidirect
24. #11732324C2semidirect
25. #11732324C2semidirect
26. #11732200C2semidirect
27. #11732158C2semidirect
28. #11731930C2semidirect
29. #11731892C2semidirect
30. #11730924C2semidirect
31. #11730912C2semidirect
39. C2×D4×Dic7C22semidirect
43. C22×C4⋊Dic7C22semidirect
44. C2×#6461C22semidirect
53. C2×(C22⋊D7)⋊C4C22semidirect
54. C2×(C22⋊D7)⋊C4C22semidirect
57. C2×#6442C22semidirect
59. C7×#398C22semidirect
62. C7×#394C22semidirect
63. C7×#390C22semidirect
65. C7×#388C22semidirect
66. C7×#388C22semidirect
67. C7×#387C22semidirect
70. C7×#385C22semidirect
71. C4×C7×C22⋊C4C22semidirect
77. #89992C22semidirect
81. C4×C22⋊Dic7C22semidirect
90. #89762C22semidirect
93. #89757C22semidirect
94. #89756C22semidirect
95. #89755C22semidirect
96. #89753C22semidirect
97. #89753C22semidirect
98. #89753C22semidirect
99. #89753C22semidirect
100. #89753C22semidirect
101. #89748C22semidirect
102. C4⋊C4×Dic7C22semidirect
106. #89733C22semidirect
107. #89733C22semidirect
109. #89731C22semidirect
114. #89730C22semidirect
119. #89729C22semidirect
120. #89729C22semidirect
126. #89724C22semidirect
131. #89723C22semidirect
132. #89723C22semidirect
134. #89722C22semidirect
139. #89718C22semidirect
140. #89717C22semidirect
141. #89716C22semidirect
142. #89715C22semidirect
143. #89714C22semidirect
149. C4×C4⋊Dic7C22semidirect
150. C4×C4⋊Dic7C22semidirect
151. #89705C22semidirect
152. #89704C22semidirect
153. C42×Dic7C22semidirect
154. #89700C22semidirect
155. #89446C22semidirect
159. #89442C22semidirect
160. #89442C22semidirect
164. #89441C22semidirect
169. #89440C22semidirect
176. #89436C22semidirect
177. #89433C22semidirect
178. #89432C22semidirect
179. #89430C22semidirect
180. #89429C22semidirect
181. #89429C22semidirect
182. #89426C22semidirect
183. #89426C22semidirect
184. #89425C22semidirect
185. #89421C22semidirect
186. #89420C22semidirect
385. #2476D7semidirect
637. #398C2×D7semidirect
657. #394C2×D7semidirect
671. #390C2×D7semidirect
696. #388C2×D7semidirect
697. #388C2×D7semidirect
707. #387C2×D7semidirect
735. #385C2×D7semidirect
754. C4×C22⋊C4C2×D7semidirect
1526. C7#60040semidirect

Maximal subgroups

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

subgroupindex
C7×#24762
#117401592
#117400812
#117397202
#117396742
#117353502
#117351992
#117345962
#117345642
#117345542
#117344122
#117344082
#117343542
#117338162
#117337382
#117333412
#117333232
#117332812
#117332332
#117330402
#117329642
#117325002
#117323842
#117323242
#117322002
#117321582
#117319302
#117318922
#117309242
#117309122
#600407