Finite Group Databasebeta

← #14217032

Subgroups — #14217032

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×#2468C211yesmaximal, characteristic, complemented
2#11740553C211yesmaximal, characteristic, complemented
3#11740532C211yesmaximal, characteristic, complemented
4#11739843C211yesmaximal, characteristic, complemented
5C4×#6503C211yesmaximal, characteristic, complemented
6#11735351C211yesmaximal, characteristic, complemented
7#11735350C211yesmaximal, characteristic, complemented
8#11735257C211yesmaximal, characteristic, complemented
9#11735205C211yesmaximal, characteristic, complemented
10#11734573C211yesmaximal, characteristic
11#11734554C211yesmaximal, characteristic, complemented
12#11734474C211yesmaximal, characteristic, complemented
13#11734386C211yesmaximal, characteristic, complemented
14#11733307C211yesmaximal, characteristic, complemented
15#11733287C211yesmaximal, characteristic, complemented
16#11733281C211yesmaximal, characteristic, complemented
17#11733040C211yesmaximal, characteristic, complemented
18#11733019C211yesmaximal, characteristic, complemented
19#11732933C211yesmaximal, characteristic, complemented
20#11732769C211yesmaximal, characteristic, complemented
21#11732384C211yesmaximal, characteristic, complemented
22#11732062C211yesmaximal, characteristic, complemented
23#11732061C211yesmaximal, characteristic, complemented
24#11732041C211yesmaximal, characteristic, complemented
25#11731842C211yesmaximal, characteristic, complemented
26#11731578C211yesmaximal, characteristic, complemented
27#11731514C211yesmaximal, characteristic, complemented
28#11731474C211yesmaximal, characteristic, complemented
29#11731352C211yesmaximal, characteristic, complemented
30#11731219C211yesmaximal, characteristic, complemented
31#11731065C211yesmaximal, characteristic, complemented
32C2×C7×#126C2211yescharacteristic, complemented
33C2×C4×C7×D4C2211yescharacteristic
34C2×#6503C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×C4×C22⋊D7C2211yescharacteristic
37C2×C4×C22⋊D7C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic, complemented
40C2×C4×C22⋊D7C2211yescharacteristic, complemented
41C22×(C2×D7)⋊C4C2211yescharacteristic
42C2×#6461C2211yescharacteristic, complemented
43C2×#6458C2211yescharacteristic
44C2×#6457C2211yescharacteristic
45C2×#6456C2211yescharacteristic
46C2×#6456C2211yescharacteristic
47C2×#6455C2211yescharacteristic
48C2×D7×C4⋊C4C2211yescharacteristic, complemented
49C2×#6449C2211yescharacteristic
50C2×#6447C2211yescharacteristic
51C2×#6446C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×#6445C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×C4×D28C2211yescharacteristic
57C2×C4×D28C2211yescharacteristic, complemented
58C2×#6435C2211yescharacteristic
59C7×#398C2211yescharacteristic, complemented
60C7×#398C2211yescharacteristic, complemented
61C7×#394C2211yescharacteristic
62C7×#394C2211yescharacteristic
63C7×#388C2211yescharacteristic
64C7×#388C2211yescharacteristic
65C7×#388C2211yescharacteristic, complemented
66C7×#387C2211yescharacteristic, complemented
67C7×#385C2211yescharacteristic
68C7×#385C2211yescharacteristic, complemented
69C7×#381C2211yescharacteristic, complemented
70C7×#380C2211yescharacteristic
71C4×C7×C4⋊C4C2211yescharacteristic, complemented
72#89993C2211yescharacteristic
73#89992C2211yescharacteristic
74#89985C2211yescharacteristic
75#89982C2211yescharacteristic
76#89766C2211yescharacteristic
77#89766C2211yescharacteristic
78#89766C2211yescharacteristic
79#89765C2211yescharacteristic, complemented
80#89763C2211yescharacteristic
81#89763C2211yescharacteristic
82#89763C2211yescharacteristic, complemented
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic
85#89762C2211yescharacteristic
86#89762C2211yescharacteristic
87#89762C2211yescharacteristic, complemented
88#89762C2211yescharacteristic, complemented
89#89761C2211yescharacteristic
90#89761C2211yescharacteristic
91#89761C2211yescharacteristic
92#89761C2211yescharacteristic, complemented
93#89760C2211yescharacteristic
94#89760C2211yescharacteristic, complemented
95#89757C2211yescharacteristic, complemented
96#89755C2211yescharacteristic, complemented
97#89753C2211yescharacteristic, complemented
98#89752C2211yescharacteristic, complemented
99#89752C2211yescharacteristic, complemented
100#89750C2211yescharacteristic, complemented
101#89750C2211yescharacteristic, complemented
102#89748C2211yescharacteristic, complemented
103C4⋊C4×Dic7C2211yescharacteristic, complemented
104#89744C2211yescharacteristic, complemented
105#89733C2211yescharacteristic
106#89733C2211yescharacteristic, complemented
107#89733C2211yescharacteristic, complemented
108#89732C2211yescharacteristic
109#89732C2211yescharacteristic
110#89732C2211yescharacteristic
111#89731C2211yescharacteristic
112#89731C2211yescharacteristic
113#89731C2211yescharacteristic, complemented
114#89730C2211yescharacteristic
115#89729C2211yescharacteristic
116#89729C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic
119#89729C2211yescharacteristic, complemented
120#89729C2211yescharacteristic, complemented
121#89728C2211yescharacteristic
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic, complemented
126#89727C2211yescharacteristic
127#89725C2211yescharacteristic, complemented
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic
130#89723C2211yescharacteristic, complemented
131#89720C2211yescharacteristic
132#89720C2211yescharacteristic
133#89717C2211yescharacteristic, complemented
134#89717C2211yescharacteristic, complemented
135#89715C2211yescharacteristic
136C22⋊C4×Dic7C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic
138#89712C2211yescharacteristic
139#89712C2211yescharacteristic, complemented
140#89711C2211yescharacteristic
141C4×(C2×D7)⋊C4C2211yescharacteristic
142C4×(C2×D7)⋊C4C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
144C4×C4⋊Dic7C2211yescharacteristic, complemented
145#89704C2211yescharacteristic, complemented
146C42×Dic7C2211yescharacteristic, complemented
147#89448C2211yescharacteristic
148#89444C2211yescharacteristic
149#89443C2211yescharacteristic
150#89442C2211yescharacteristic
151#89442C2211yescharacteristic
152#89442C2211yescharacteristic
153#89442C2211yescharacteristic, complemented
154#89442C2211yescharacteristic, complemented
155#89441C2211yescharacteristic
156#89441C2211yescharacteristic
157#89441C2211yescharacteristic, complemented
158#89440C2211yescharacteristic
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic, complemented
162#89440C2211yescharacteristic, complemented
163#89439C2211yescharacteristic, complemented
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic, complemented
175#89436C2211yescharacteristic, complemented
176#89432C2211yescharacteristic, complemented
177#89430C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89427C2211yescharacteristic, complemented
180#89427C2211yescharacteristic, complemented
181#89426C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89425C2211yescharacteristic, complemented
184#89425C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#60040—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C7×#126—42no—
213C4×C7×D4—42no—
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×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊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
244#6503—24no—
245#6500—24no—
246C4×C22⋊D7—42no—
247C4×C22⋊D7—42no—
248C4×C22⋊D7—42no—
249C4×C22⋊D7—42no—
250C4×C22⋊D7—42no—
251C2×(C2×D7)⋊C4—42no—
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
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
317#6461—42no—
318#6458—24no—
319#6457—42no—
320#6456—42no—
321#6456—42no—
322#6455—24no—
323D7×C4⋊C4—42no—
324#6449—24no—
325#6447—24no—
326#6446—42no—
327#6445—24no—
328#6445—24no—
329D7×C22⋊C4—42no—
330D7×C22⋊C4—42no—
331C4×D28—42no—
332C4×D28—42no—
333#6435—24no—
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#2476—71no—
386#2468—71no—
387#2468D711yescharacteristic, complemented
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
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7C2411yescharacteristic
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×D4—22no—
415C2×C7×D4—22no—
416C2×C7×D4—41no—
417C22×C4×C7—22no—
418C22×C4×C7—22no—
419C22×C4×C7—41no—
420C22×C4×C7—41no—
421C22×C4×C7—41no—
422C22×C4×C7—41no—
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C2×C22⋊D7—22no—
437C2×C22⋊D7—22no—
438C2×C22⋊D7—22no—
439C2×C22⋊D7—22no—
440C2×C22⋊D7—22no—
441C2×C22⋊D7—22no—
442C2×C22⋊D7—22no—
443C2×C22⋊D7—22no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7#4114yes—
454C22×Dic7—22no—
455C22×Dic7—41no—
456C22×Dic7—41no—
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C2×D28—22no—
470C2×D28—22no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28—41no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28—41no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
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×C4⋊C4—41no—
515C7×C4⋊C4—41no—
516C7×C4⋊C4—41no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C42×C7—22no—
528C42×C7—22no—
529C42×C7—22no—
530C22⋊Dic7—22no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—41no—
534C22⋊Dic7—41no—
535C22⋊Dic7—41no—
536C22⋊Dic7—41no—
537C22⋊Dic7—41no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—22no—
541(C2×D7)⋊C4—22no—
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—41no—
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—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4#4114yes—
571(C2×D7)⋊C4#4114yes—
572C4⋊Dic7—22no—
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
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—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C2×#127—71no—
604C2×#126—71no—
605C2×#126C2×D711yescharacteristic, complemented
606C2×#123—71no—
607C2×#123—71no—
608C2×#123—71no—
609C2×#121—71no—
610C2×#121—71no—
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×D4C2×D711yescharacteristic
624C2×#117—71no—
625C2×#117—71no—
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#398C2×D711yescharacteristic, complemented
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#394—71no—
656#394C2×D711yescharacteristic
657#394C2×D711yescharacteristic
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#390—71no—
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
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#386—71no—
723#386—71no—
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#385C2×D711yescharacteristic
735#385C2×D711yescharacteristic, complemented
736#384—71no—
737#381—71no—
738#381—71no—
739#381C2×D711yescharacteristic, complemented
740#380—71no—
741#380C2×D711yescharacteristic
742#379—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4C2×D711yescharacteristic, complemented
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⋊C4—71no—
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×C7C2×#4112yes—
772C23×C7C2511yescharacteristic
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
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—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—82no—
802C22×D7—82no—
803C22×D7—82no—
804C22×D7—82no—
805C22×D7C2×#4112yes—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C7×D4—44no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
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—21no—
844C2×C4×C7—82no—
845C2×C4×C7—82no—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7H(5,𝔽2)12yes—
849C2×C4×C7H(5,𝔽2)12yes—
850C22⋊D7—44no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
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—82no—
889C2×Dic7C2×#4112yes—
890C2×Dic7C2×#4112yes—
891C2×Dic7C2×#4112yes—
892C2×Dic7H(5,𝔽2)12yes—
893D28—44no—
894D28—44no—
895D28—44no—
896D28—44no—
897D28—82no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—82no—
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×D4—71no—
917C22×D4—71no—
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—42no—
932#126—282no—
933#123—144no—
934#123—282no—
935#123—282no—
936#121—144no—
937#121—144no—
938#120—144no—
939#120—144no—
940#120—144no—
941C4×D4—42no—
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—144no—
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—282no—
973C2×C4⋊C4C22×D711yescharacteristic
974C2×C4⋊C4C22×D711yescharacteristic
975C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—282no—
1025C2×C22⋊C4—282no—
1026C2×C22⋊C4—282no—
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#95C22×D711yescharacteristic
1079#95C22×D711yescharacteristic
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—41no—
1092C22×C7—41no—
1093C22×C7—41no—
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×C7C22×#4111yescharacteristic
1103C22×C7C22×#4111yescharacteristic
1104C22×C7C22×#4111yescharacteristic
1105C22×C7C2×H(5,𝔽2)11yescharacteristic
1106C22×C7C2×H(5,𝔽2)11yescharacteristic
1107C22×C7C2×H(5,𝔽2)11yescharacteristic
1108C22×C7#58511yescharacteristic
1109C2×D7—22no—
1110C2×D7—22no—
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—41no—
1119C2×D7—41no—
1120C2×D7—41no—
1121C2×D7—41no—
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—
1150C4×C7—41no—
1151Dic7—22no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—41no—
1156Dic7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163C24—71no—
1164C24—71no—
1165C24—71no—
1166C24—71no—
1167C24—142no—
1168C24—142no—
1169C24—142no—
1170C24—281no—
1171C24—281no—
1172C24—281no—
1173C24—281no—
1174C24C23×D711yescharacteristic
1175C24C23×D711yescharacteristic
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—74no—
1180C2×D4—142no—
1181C2×D4—142no—
1182C2×D4—142no—
1183C2×D4—142no—
1184C2×D4—142no—
1185C2×D4—142no—
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—281no—
1198C2×D4—281no—
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—41no—
1215C22×C4—41no—
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—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
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×C4C23×D711yescharacteristic
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—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
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—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—74no—
1309C22⋊C4—74no—
1310C22⋊C4—142no—
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—281no—
1331C22⋊C4—281no—
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—281no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—142no—
1354C42—142no—
1355C42—142no—
1356C42—142no—
1357C42—142no—
1358C42—142no—
1359C42—142no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C2×C7—42no—
1366C2×C7—81no—
1367C2×C7#348111yescharacteristic
1368C2×C7#348111yescharacteristic
1369C2×C7#348111yescharacteristic
1370C2×C7#349411yescharacteristic
1371C2×C7#349411yescharacteristic
1372C2×C7#350511yescharacteristic
1373C2×C7#354311yescharacteristic
1374D7—42no—
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—72no—
1392C23—72no—
1393C23—72no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
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—141no—
1419C23—284no—
1420C23—284no—
1421C23—284no—
1422C23—562no—
1423C23—562no—
1424C23—562no—
1425C23—562no—
1426C23D7×#4112yes—
1427C23C24×D711yescharacteristic
1428D4—44no—
1429D4—284no—
1430D4—284no—
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—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—72no—
1476C2×C4—72no—
1477C2×C4—72no—
1478C2×C4—72no—
1479C2×C4—82no—
1480C2×C4—82no—
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—284no—
1515C2×C4—284no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4—562no—
1520C2×C4—562no—
1521C2×C4—562no—
1522C2×C4#654812yes—
1523C2×C4D7×#4112yes—
1524C2×C4D7×#4112yes—
1525C2×C4#655312yes—
1526C7#6004011yescharacteristic, complemented, Sylow
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
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—
1570C22C2×#654811yescharacteristic
1571C22C2×D7×#4111yescharacteristic
1572C22C2×D7×#4111yescharacteristic
1573C22C2×D7×#4111yescharacteristic
1574C22C2×#655311yescharacteristic
1575C22D7×H(5,𝔽2)11yescharacteristic
1576C22#9062011yescharacteristic
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—41no—
1590C4—142no—
1591C4—142no—
1592C4—142no—
1593C4—142no—
1594C4—281no—
1595C4—281no—
1596C4—281no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C2—42no—
1603C2—81no—
1604C2—282no—
1605C2—282no—
1606C2—282no—
1607C2—561no—
1608C2#1174310611yescharacteristic
1609C2#1174322111yescharacteristic
1610C2#1174361811yescharacteristic
1611C2#1174371911yescharacteristic
1612C2#1174374611yescharacteristic
1613C2#1174393011yescharacteristic
1614C2#1174394411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2468C2
prime radical#11734573C2
hypercenter#2468D7
hypocenterC7#60040
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2468

Complements

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

NH ≅ G/Ntype
1. C7×#2468C2semidirect
2. #11740553C2semidirect
3. #11740532C2semidirect
4. #11739843C2semidirect
5. C4×#6503C2semidirect
6. #11735351C2semidirect
7. #11735350C2semidirect
8. #11735257C2semidirect
9. #11735205C2semidirect
11. #11734554C2semidirect
12. #11734474C2semidirect
13. #11734386C2semidirect
14. #11733307C2semidirect
15. #11733287C2semidirect
16. #11733281C2semidirect
17. #11733040C2semidirect
18. #11733019C2semidirect
19. #11732933C2semidirect
20. #11732769C2semidirect
21. #11732384C2semidirect
22. #11732062C2semidirect
23. #11732061C2semidirect
24. #11732041C2semidirect
25. #11731842C2semidirect
26. #11731578C2semidirect
27. #11731514C2semidirect
28. #11731474C2semidirect
29. #11731352C2semidirect
30. #11731219C2semidirect
31. #11731065C2semidirect
32. C2×C7×#126C22semidirect
39. C2×C4×C22⋊D7C22semidirect
40. C2×C4×C22⋊D7C22semidirect
42. C2×#6461C22semidirect
48. C2×D7×C4⋊C4C22semidirect
57. C2×C4×D28C22semidirect
59. C7×#398C22semidirect
60. C7×#398C22semidirect
65. C7×#388C22semidirect
66. C7×#387C22semidirect
68. C7×#385C22semidirect
69. C7×#381C22semidirect
71. C4×C7×C4⋊C4C22semidirect
79. #89765C22semidirect
82. #89763C22semidirect
87. #89762C22semidirect
88. #89762C22semidirect
92. #89761C22semidirect
94. #89760C22semidirect
95. #89757C22semidirect
96. #89755C22semidirect
97. #89753C22semidirect
98. #89752C22semidirect
99. #89752C22semidirect
100. #89750C22semidirect
101. #89750C22semidirect
102. #89748C22semidirect
103. C4⋊C4×Dic7C22semidirect
104. #89744C22semidirect
106. #89733C22semidirect
107. #89733C22semidirect
113. #89731C22semidirect
119. #89729C22semidirect
120. #89729C22semidirect
125. #89728C22semidirect
127. #89725C22semidirect
130. #89723C22semidirect
133. #89717C22semidirect
134. #89717C22semidirect
139. #89712C22semidirect
143. C4×(C2×D7)⋊C4C22semidirect
144. C4×C4⋊Dic7C22semidirect
145. #89704C22semidirect
146. C42×Dic7C22semidirect
153. #89442C22semidirect
154. #89442C22semidirect
157. #89441C22semidirect
161. #89440C22semidirect
162. #89440C22semidirect
163. #89439C22semidirect
166. #89438C22semidirect
174. #89437C22semidirect
175. #89436C22semidirect
176. #89432C22semidirect
177. #89430C22semidirect
178. #89429C22semidirect
179. #89427C22semidirect
180. #89427C22semidirect
181. #89426C22semidirect
182. #89426C22semidirect
183. #89425C22semidirect
184. #89425C22semidirect
185. #89421C22semidirect
186. #89420C22semidirect
387. #2468D7semidirect
605. C2×#126C2×D7semidirect
636. #398C2×D7semidirect
637. #398C2×D7semidirect
697. #388C2×D7semidirect
707. #387C2×D7semidirect
735. #385C2×D7semidirect
739. #381C2×D7semidirect
746. C4×C4⋊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×#24682
#117405532
#117405322
#117398432
C4×#65032
#117353512
#117353502
#117352572
#117352052
#117345732
#117345542
#117344742
#117343862
#117333072
#117332872
#117332812
#117330402
#117330192
#117329332
#117327692
#117323842
#117320622
#117320612
#117320412
#117318422
#117315782
#117315142
#117314742
#117313522
#117312192
#117310652
#600407