Finite Group Databasebeta

← #13561394

Subgroups — #13561394

Order 1792.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2732C211yesmaximal, characteristic, complemented
2#11740279C211yesmaximal, characteristic, complemented
3#11740275C211yesmaximal, characteristic, complemented
4#11740261C211yesmaximal, characteristic, complemented
5#11740238C211yesmaximal, characteristic, complemented
6#11735568C211yesmaximal, characteristic, complemented
7#11735555C211yesmaximal, characteristic, complemented
8#11735547C211yesmaximal, characteristic, complemented
9#11735530C211yesmaximal, characteristic, complemented
10#11735445C211yesmaximal, characteristic, complemented
11#11735420C211yesmaximal, characteristic, complemented
12#11735395C211yesmaximal, characteristic, complemented
13#11735394C211yesmaximal, characteristic, complemented
14#11734881C211yesmaximal, characteristic, complemented
15#11734869C211yesmaximal, characteristic, complemented
16#11734863C211yesmaximal, characteristic, complemented
17#11734822C211yesmaximal, characteristic, complemented
18#11734072C211yesmaximal, characteristic, complemented
19#11734009C211yesmaximal, characteristic, complemented
20#11733873C211yesmaximal, characteristic
21#11733859C211yesmaximal, characteristic, complemented
22#11733723C211yesmaximal, characteristic, complemented
23#11733667C211yesmaximal, characteristic, complemented
24#11732319C211yesmaximal, characteristic
25D7×#386C211yesmaximal, characteristic
26#11732306C211yesmaximal, characteristic, complemented
27#11732275C211yesmaximal, characteristic, complemented
28#11732100C211yesmaximal, characteristic, complemented
29#11732052C211yesmaximal, characteristic, complemented
30#11732026C211yesmaximal, characteristic, complemented
31#11732009C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic, complemented
35C2×C7×C22⋊Q8C2211yescharacteristic, complemented
36C2×#6509C2211yescharacteristic
37C2×#6509C2211yescharacteristic, complemented
38C22×(C2×D7)⋊C4C2211yescharacteristic
39C2×#6487C2211yescharacteristic, complemented
40C2×#6460C2211yescharacteristic
41C2×#6459C2211yescharacteristic
42C2×#6459C2211yescharacteristic
43C2×#6459C2211yescharacteristic, complemented
44C2×#6459C2211yescharacteristic, complemented
45C2×#6459C2211yescharacteristic, complemented
46C2×#6455C2211yescharacteristic
47C2×D7×C22⋊C4C2211yescharacteristic
48C2×D7×C22⋊C4C2211yescharacteristic
49C2×D7×C22⋊C4C2211yescharacteristic
50C2×D7×C22⋊C4C2211yescharacteristic
51C2×#6441C2211yescharacteristic, complemented
52C2×#6435C2211yescharacteristic
53C7×#399C2211yescharacteristic, complemented
54C7×#399C2211yescharacteristic, complemented
55C7×#398C2211yescharacteristic, complemented
56C7×#398C2211yescharacteristic, complemented
57C7×#396C2211yescharacteristic, complemented
58C7×#396C2211yescharacteristic, complemented
59C7×#391C2211yescharacteristic, complemented
60C7×#390C2211yescharacteristic
61C7×#389C2211yescharacteristic, complemented
62C7×#386C2211yescharacteristic
63C7×#386C2211yescharacteristic
64C7×#385C2211yescharacteristic, complemented
65C7×#385C2211yescharacteristic, complemented
66#90003C2211yescharacteristic, complemented
67#90001C2211yescharacteristic, complemented
68#89993C2211yescharacteristic
69#89992C2211yescharacteristic
70#89992C2211yescharacteristic
71#89985C2211yescharacteristic
72#89985C2211yescharacteristic
73#89984C2211yescharacteristic, complemented
74#89982C2211yescharacteristic, complemented
75#89982C2211yescharacteristic, complemented
76#89766C2211yescharacteristic, complemented
77#89766C2211yescharacteristic, complemented
78#89766C2211yescharacteristic, complemented
79#89766C2211yescharacteristic, complemented
80#89766C2211yescharacteristic, complemented
81#89766C2211yescharacteristic, complemented
82#89766C2211yescharacteristic, complemented
83#89764C2211yescharacteristic, complemented
84#89764C2211yescharacteristic, complemented
85#89764C2211yescharacteristic, complemented
86#89764C2211yescharacteristic, complemented
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic
89#89761C2211yescharacteristic
90#89761C2211yescharacteristic
91#89761C2211yescharacteristic
92#89761C2211yescharacteristic
93#89761C2211yescharacteristic, complemented
94#89761C2211yescharacteristic, complemented
95#89761C2211yescharacteristic, complemented
96#89761C2211yescharacteristic, complemented
97#89761C2211yescharacteristic, complemented
98#89760C2211yescharacteristic
99#89759C2211yescharacteristic
100#89759C2211yescharacteristic
101#89759C2211yescharacteristic, complemented
102#89759C2211yescharacteristic, complemented
103#89759C2211yescharacteristic, complemented
104#89758C2211yescharacteristic, complemented
105#89757C2211yescharacteristic, complemented
106#89755C2211yescharacteristic, complemented
107#89755C2211yescharacteristic, complemented
108#89754C2211yescharacteristic, complemented
109#89753C2211yescharacteristic, complemented
110#89752C2211yescharacteristic, complemented
111#89751C2211yescharacteristic, complemented
112#89751C2211yescharacteristic, complemented
113#89750C2211yescharacteristic, complemented
114#89750C2211yescharacteristic, complemented
115#89746C2211yescharacteristic, complemented
116#89744C2211yescharacteristic, complemented
117#89730C2211yescharacteristic
118#89730C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic
127#89727C2211yescharacteristic
128#89727C2211yescharacteristic
129#89727C2211yescharacteristic
130#89727C2211yescharacteristic
131#89727C2211yescharacteristic
132#89727C2211yescharacteristic
133#89722C2211yescharacteristic, complemented
134#89721C2211yescharacteristic, complemented
135#89721C2211yescharacteristic, complemented
136#89720C2211yescharacteristic, complemented
137#89720C2211yescharacteristic, complemented
138#89720C2211yescharacteristic, complemented
139#89720C2211yescharacteristic, complemented
140#89720C2211yescharacteristic, complemented
141#89720C2211yescharacteristic, complemented
142#89719C2211yescharacteristic, complemented
143#89719C2211yescharacteristic, complemented
144#89719C2211yescharacteristic, complemented
145#89719C2211yescharacteristic, complemented
146#89718C2211yescharacteristic, complemented
147#89718C2211yescharacteristic, complemented
148#89718C2211yescharacteristic, complemented
149#89714C2211yescharacteristic, complemented
150#89714C2211yescharacteristic, complemented
151#89714C2211yescharacteristic, complemented
152#89711C2211yescharacteristic
153#89705C2211yescharacteristic, complemented
154#89705C2211yescharacteristic, complemented
155#89448C2211yescharacteristic, complemented
156#89445C2211yescharacteristic, complemented
157#89445C2211yescharacteristic, complemented
158#89445C2211yescharacteristic, complemented
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic, complemented
162#89440C2211yescharacteristic, complemented
163#89440C2211yescharacteristic, complemented
164#89439C2211yescharacteristic
165#89439C2211yescharacteristic
166#89439C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89436C2211yescharacteristic
172#89436C2211yescharacteristic
173D7×#95C2211yescharacteristic
174D7×#95C2211yescharacteristic
175#89433C2211yescharacteristic, complemented
176#89432C2211yescharacteristic, complemented
177#89430C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89429C2211yescharacteristic, complemented
180#89428C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36747—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C2×D4×D7—42no—
199C2×D4×D7—42no—
200C2×D4×D7Q818yescomplemented
201C22×D28C2311yescharacteristic
202C22×C4×D7—42no—
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C7×C22⋊Q8—42no—
218C7×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252#6509—42no—
253#6509—42no—
254C2×(C2×D7)⋊C4—42no—
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×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291#6487—42no—
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×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×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315#6460—42no—
316#6459—42no—
317#6459—42no—
318#6459—42no—
319#6459—42no—
320#6459—42no—
321#6455—42no—
322D7×C22⋊C4—42no—
323D7×C22⋊C4—42no—
324D7×C22⋊C4—42no—
325D7×C22⋊C4—42no—
326#6441—42no—
327#6435—42no—
328C7×#95C2311yescharacteristic
329C7×#95C2311yescharacteristic
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
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
368#2848—71no—
369#2848—71no—
370#2804—71no—
371#2784—71no—
372#2784—71no—
373#2780—71no—
374#2780—71no—
375#2780—71no—
376#2780—71no—
377#2748—71no—
378#2748—71no—
379#2732—71no—
380#2732D711yescharacteristic, complemented
381#2692—71no—
382#2692—71no—
383#2692—71no—
384#2692—71no—
385#2683—71no—
386#2626—71no—
387#2626—71no—
388#2438—71no—
389#2438—71no—
390#2438—71no—
391#2438—71no—
392#2437—71no—
393#2437—71no—
394#2437—71no—
395#2437—71no—
396#2309—71no—
397#2308—71no—
398C2×#386—71no—
399C24×C7C2411yescharacteristic
400C24×C7C2411yescharacteristic
401C23×D7—22no—
402C23×D7—22no—
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—41no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7C2×Q814yes—
414C23×D7C2×Q814yes—
415C23×D7C2411yescharacteristic
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C2×C7×Q8—22no—
419C2×C7×Q8—41no—
420C2×C7×Q8—41no—
421C2×C7×D4—41no—
422C2×C7×D4—41no—
423C2×C7×D4C2×Q814yes—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
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
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C2×C22⋊D7—41no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7C2×Q814yes—
448C2×C22⋊D7C2×Q814yes—
449C22×Dic7—22no—
450C22×Dic7—41no—
451C22×Dic7—41no—
452C22×Dic7—41no—
453C22×Dic7—41no—
454C22×Dic7—41no—
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468D4×D7—416no—
469C2×D28—41no—
470C2×D28—41no—
471C2×D28C2×Q814yes—
472C2×C4×D7—22no—
473C2×C4×D7—22no—
474C2×C4×D7—22no—
475C2×C4×D7—22no—
476C2×C4×D7—22no—
477C2×C4×D7—22no—
478C2×C4×D7—22no—
479C2×C4×D7—22no—
480C2×C4×D7—22no—
481C2×C4×D7—22no—
482C2×C4×D7—41no—
483C2×C4×D7—41no—
484C2×C4×D7—41no—
485C2×C4×D7—41no—
486C2×C4×D7—41no—
487C2×C4×D7—41no—
488C2×C4×D7—416no—
489C2×C4×D7—41no—
490C2×C4×D7—41no—
491C2×C4×D7—41no—
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×D7C2×Q814yes—
500C2×Dic14—22no—
501C2×Dic14—41no—
502C2×Dic14—41no—
503C2×Dic14—41no—
504C2×Dic14—41no—
505C2×Dic14—41no—
506C2×Dic14—41no—
507C2×Dic14—41no—
508C2×Dic14—41no—
509C7×C4⋊C4—22no—
510C7×C4⋊C4—22no—
511C7×C4⋊C4—41no—
512C7×C4⋊C4—41no—
513C7×C4⋊C4—41no—
514C7×C4⋊C4—41no—
515C7×C4⋊C4—41no—
516C7×C4⋊C4—41no—
517C7×C4⋊C4—41no—
518C7×C4⋊C4—41no—
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C42×C7—41no—
532C22⋊Dic7—22no—
533C22⋊Dic7—41no—
534C22⋊Dic7—41no—
535C22⋊Dic7—41no—
536C22⋊Dic7—41no—
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—41no—
553(C2×D7)⋊C4—41no—
554(C2×D7)⋊C4—41no—
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—
570C4⋊Dic7—41no—
571C4⋊Dic7—41no—
572C4⋊Dic7—41no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
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—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C23×D4—71no—
602C24×C4—71no—
603C2×C22⋊Q8—71no—
604C2×C22⋊Q8—71no—
605C2×C22⋊Q8—71no—
606C2×C22⋊Q8—71no—
607C2×C22⋊Q8—71no—
608C2×C22⋊Q8—71no—
609C2×C22⋊Q8—71no—
610C2×C22⋊Q8—71no—
611C2×C22⋊Q8—71no—
612C2×C22⋊Q8—71no—
613C2×C22⋊Q8C2×D711yescharacteristic, complemented
614C2×C22⋊Q8C2×D711yescharacteristic, complemented
615C2×#117—71no—
616C2×#117—71no—
617C22×C22⋊C4—71no—
618C22×C22⋊C4—71no—
619C22×C22⋊C4—71no—
620C22×C22⋊C4—71no—
621C22×C22⋊C4—71no—
622#400—71no—
623#400—71no—
624#400—71no—
625#400—71no—
626#399—71no—
627#399—71no—
628#399—71no—
629#399—71no—
630#399—71no—
631#399—71no—
632#399C2×D711yescharacteristic, complemented
633#399C2×D711yescharacteristic, complemented
634#398—71no—
635#398—71no—
636#398—71no—
637#398—71no—
638#398—71no—
639#398—71no—
640#398C2×D711yescharacteristic, complemented
641#398C2×D711yescharacteristic, complemented
642#396—71no—
643#396—71no—
644#396—71no—
645#396—71no—
646#396—71no—
647#396—71no—
648#396—71no—
649#396—71no—
650#396—71no—
651#396—71no—
652#396—71no—
653#396—71no—
654#396—71no—
655#396—71no—
656#396C2×D711yescharacteristic, complemented
657#396C2×D711yescharacteristic, complemented
658#395—71no—
659#395—71no—
660#395—71no—
661#395—71no—
662#393—71no—
663#393—71no—
664#393—71no—
665#393—71no—
666#393—71no—
667#393—71no—
668#393—71no—
669#393—71no—
670#391—71no—
671#391—71no—
672#391—71no—
673#391C2×D711yescharacteristic, complemented
674#390—71no—
675#390—71no—
676#390—71no—
677#390—71no—
678#390—71no—
679#390—71no—
680#390—71no—
681#390C2×D711yescharacteristic
682#389—71no—
683#389—71no—
684#389—71no—
685#389C2×D711yescharacteristic, complemented
686#387—71no—
687#387—71no—
688#387—71no—
689#387—71no—
690#387—71no—
691#387—71no—
692#387—71no—
693#387—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386C2×D711yescharacteristic
709#386C2×D711yescharacteristic
710#385—71no—
711#385—71no—
712#385—71no—
713#385—71no—
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—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#385C2×D711yescharacteristic, complemented
733#385C2×D711yescharacteristic, complemented
734#381—71no—
735#381—71no—
736#380—71no—
737#380—71no—
738#380—71no—
739#380—71no—
740#380—71no—
741#380—71no—
742#380—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380—71no—
748#379—71no—
749#379—71no—
750#379—71no—
751#379—71no—
752#379—71no—
753#379—71no—
754C2×#95—71no—
755C2×#95—71no—
756C23×C7—21no—
757C23×C7—21no—
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×C7C22×Q812yes—
769C23×C7C22×Q812yes—
770C23×C7C2511yescharacteristic
771C22×D7—21no—
772C22×D7—21no—
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—28no—
788C22×D7—28no—
789C22×D7—44no—
790C22×D7—44no—
791C22×D7—44no—
792C22×D7—44no—
793C22×D7—44no—
794C22×D7—44no—
795C22×D7—44no—
796C22×D7—44no—
797C22×D7—82no—
798C22×D7—82no—
799C22×D7—82no—
800C22×D7—82no—
801C22×D7C22×Q812yes—
802C22×D7C22×Q812yes—
803C22×D7C22×Q812yes—
804C22×D7H(5,𝔽2)12yes—
805C22×D7H(5,𝔽2)12yes—
806C7×Q8—82no—
807C7×D4—44no—
808C2×C4×C7—21no—
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—21no—
845C2×C4×C7—44no—
846C2×C4×C7—82no—
847C2×C4×C7C22×Q812yes—
848C2×C4×C7H(5,𝔽2)12yes—
849C22⋊D7—44no—
850C22⋊D7—44no—
851C2×Dic7—21no—
852C2×Dic7—21no—
853C2×Dic7—21no—
854C2×Dic7—21no—
855C2×Dic7—21no—
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—44no—
889C2×Dic7—82no—
890C2×Dic7C22×Q812yes—
891C2×Dic7H(5,𝔽2)12yes—
892D28—44no—
893C4×D7—28no—
894C4×D7—44no—
895C4×D7—44no—
896C4×D7—44no—
897C4×D7—44no—
898C4×D7—82no—
899C4×D7—82no—
900C4×D7—82no—
901C4×D7—82no—
902Dic14—82no—
903Dic14—82no—
904Dic14—82no—
905C25—71no—
906C25—71no—
907C22×Q8—71no—
908C22×Q8—71no—
909C22×Q8—71no—
910C22×Q8C22×D711yescharacteristic
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—78no—
914C22×D4—71no—
915C22×D4—282no—
916C22×D4—282no—
917C22×D4C22×D711yescharacteristic
918C23×C4—71no—
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×C4—71no—
929C23×C4—282no—
930C23×C4—282no—
931C23×C4—282no—
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936C22⋊Q8—282no—
937C22⋊Q8—282no—
938C22⋊Q8—282no—
939C22⋊Q8—282no—
940C22⋊Q8—282no—
941C22⋊Q8—282no—
942C22⋊Q8—282no—
943C22⋊Q8—282no—
944C22⋊Q8—282no—
945C22⋊Q8—282no—
946#117—282no—
947#117—282no—
948C2×C4⋊C4—71no—
949C2×C4⋊C4—71no—
950C2×C4⋊C4—71no—
951C2×C4⋊C4—71no—
952C2×C4⋊C4—71no—
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—71no—
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×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—282no—
1027C2×C22⋊C4—282no—
1028C2×C22⋊C4—282no—
1029C2×C22⋊C4—282no—
1030C2×C22⋊C4—282no—
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×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42C22×D711yescharacteristic
1045#95—71no—
1046#95—71no—
1047#95—71no—
1048#95—71no—
1049#95—71no—
1050#95—71no—
1051#95—71no—
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#95C22×D711yescharacteristic
1078#95C22×D711yescharacteristic
1079#95C22×D711yescharacteristic
1080#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085C22×C7—22no—
1086C22×C7—22no—
1087C22×C7—22no—
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×C7C23×Q811yescharacteristic
1100C22×C7C2×H(5,𝔽2)11yescharacteristic
1101C22×C7C2×H(5,𝔽2)11yescharacteristic
1102C22×C7C2×H(5,𝔽2)11yescharacteristic
1103C22×C7C2×H(5,𝔽2)11yescharacteristic
1104C22×C7#58511yescharacteristic
1105C22×C7#58511yescharacteristic
1106C2×D7—22no—
1107C2×D7—22no—
1108C2×D7—22no—
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—416no—
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—88no—
1128C2×D7#54314yes—
1129C4×C7—22no—
1130C4×C7—22no—
1131C4×C7—41no—
1132C4×C7—41no—
1133C4×C7—41no—
1134C4×C7—41no—
1135C4×C7—41no—
1136C4×C7—41no—
1137C4×C7—41no—
1138C4×C7—41no—
1139C4×C7—41no—
1140C4×C7—41no—
1141C4×C7—41no—
1142Dic7—22no—
1143Dic7—22no—
1144Dic7—41no—
1145Dic7—41no—
1146Dic7—41no—
1147Dic7—41no—
1148Dic7—41no—
1149Dic7—41no—
1150Dic7—41no—
1151Dic7—41no—
1152Dic7—41no—
1153Dic7—41no—
1154Dic7—41no—
1155C24—71no—
1156C24—71no—
1157C24—71no—
1158C24—74no—
1159C24—74no—
1160C24—142no—
1161C24—142no—
1162C24—142no—
1163C24—142no—
1164C24—281no—
1165C24—281no—
1166C24—281no—
1167C24—281no—
1168C24—281no—
1169C24—281no—
1170C24—281no—
1171C24—281no—
1172C24C23×D711yescharacteristic
1173C24C23×D711yescharacteristic
1174C2×Q8—22no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—142no—
1178C2×Q8—281no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×Q8—281no—
1183C2×Q8—281no—
1184C2×Q8—281no—
1185C2×Q8—281no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—74no—
1191C2×D4—281no—
1192C2×D4—281no—
1193C2×D4—2816no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4Q8×D714yes—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—71no—
1206C22×C4—71no—
1207C22×C4—74no—
1208C22×C4—71no—
1209C22×C4—71no—
1210C22×C4—71no—
1211C22×C4—71no—
1212C22×C4—71no—
1213C22×C4—71no—
1214C22×C4—71no—
1215C22×C4—71no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—142no—
1220C22×C4—142no—
1221C22×C4—142no—
1222C22×C4—142no—
1223C22×C4—142no—
1224C22×C4—142no—
1225C22×C4—142no—
1226C22×C4—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—281no—
1231C22×C4—281no—
1232C22×C4—281no—
1233C22×C4—281no—
1234C22×C4—281no—
1235C22×C4—281no—
1236C22×C4—281no—
1237C22×C4—281no—
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—2816no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4C23×D711yescharacteristic
1253C22×C4C23×D711yescharacteristic
1254C22×C4C23×D711yescharacteristic
1255C22×C4C23×D711yescharacteristic
1256C22×C4C23×D711yescharacteristic
1257C22×C4C23×D711yescharacteristic
1258C22×C4C23×D711yescharacteristic
1259C22×C4C23×D711yescharacteristic
1260C22×C4C23×D711yescharacteristic
1261C22×C4C23×D711yescharacteristic
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—142no—
1278C4⋊C4—142no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—281no—
1282C4⋊C4—281no—
1283C4⋊C4—281no—
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—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C22⋊C4—22no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
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—281no—
1327C22⋊C4—281no—
1328C22⋊C4—281no—
1329C22⋊C4—281no—
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—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C42—41no—
1354C42—281no—
1355C42—281no—
1356C42—281no—
1357C2×C7—42no—
1358C2×C7—42no—
1359C2×C7C2×#54311yescharacteristic
1360C2×C7#350111yescharacteristic
1361C2×C7#350111yescharacteristic
1362C2×C7#353211yescharacteristic
1363C2×C7#353311yescharacteristic
1364C2×C7#354211yescharacteristic
1365C2×C7#354211yescharacteristic
1366D7—24no—
1367D7—42no—
1368D7—42no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—72no—
1382C23—72no—
1383C23—72no—
1384C23—72no—
1385C23—72no—
1386C23—148no—
1387C23—148no—
1388C23—141no—
1389C23—141no—
1390C23—141no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—284no—
1405C23—284no—
1406C23—284no—
1407C23—284no—
1408C23—284no—
1409C23—284no—
1410C23—284no—
1411C23—284no—
1412C23—562no—
1413C23—562no—
1414C23—562no—
1415C23—562no—
1416C23C2×Q8×D712yes—
1417C23C2×Q8×D712yes—
1418C23C24×D711yescharacteristic
1419Q8—82no—
1420Q8—562no—
1421Q8—562no—
1422Q8—562no—
1423D4—44no—
1424D4—284no—
1425D4—284no—
1426D4—284no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
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—44no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—82no—
1468C2×C4—148no—
1469C2×C4—141no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
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—284no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—562no—
1512C2×C4—562no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4#654812yes—
1517C2×C4C2×Q8×D712yes—
1518C7#3674711yescharacteristic, complemented, Sylow
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—74no—
1534C22—142no—
1535C22—142no—
1536C22—142no—
1537C22—142no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—2816no—
1547C22—281no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—568no—
1556C22C2×#654811yescharacteristic
1557C22C22×Q8×D711yescharacteristic
1558C22#9061611yescharacteristic
1559C22D7×H(5,𝔽2)11yescharacteristic
1560C22D7×H(5,𝔽2)11yescharacteristic
1561C22D7×H(5,𝔽2)11yescharacteristic
1562C22#9062011yescharacteristic
1563C4—22no—
1564C4—22no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—142no—
1577C4—142no—
1578C4—281no—
1579C4—281no—
1580C4—281no—
1581C4—281no—
1582C4—281no—
1583C4—281no—
1584C4—281no—
1585C4—281no—
1586C4—281no—
1587C4—281no—
1588C4—281no—
1589C2—42no—
1590C2—42no—
1591C2—144no—
1592C2—282no—
1593C2—282no—
1594C2#1174337811yescharacteristic
1595C2#1174352511yescharacteristic
1596C2D7×#54311yescharacteristic
1597C2#1174382911yescharacteristic
1598C2#1174384611yescharacteristic
1599C2#1174401711yescharacteristic
1600C2#1174416511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2732C2
prime radicalC22×D4×D7C22
hypercenter#2732D7
hypocenterC7#36747
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2732

Complements

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

NH ≅ G/Ntype
1. C7×#2732C2semidirect
2. #11740279C2semidirect
3. #11740275C2semidirect
4. #11740261C2semidirect
5. #11740238C2semidirect
6. #11735568C2semidirect
7. #11735555C2semidirect
8. #11735547C2semidirect
9. #11735530C2semidirect
10. #11735445C2semidirect
11. #11735420C2semidirect
12. #11735395C2semidirect
13. #11735394C2semidirect
14. #11734881C2semidirect
15. #11734869C2semidirect
16. #11734863C2semidirect
17. #11734822C2semidirect
18. #11734072C2semidirect
19. #11734009C2semidirect
21. #11733859C2semidirect
22. #11733723C2semidirect
23. #11733667C2semidirect
26. #11732306C2semidirect
27. #11732275C2semidirect
28. #11732100C2semidirect
29. #11732052C2semidirect
30. #11732026C2semidirect
31. #11732009C2semidirect
34. C2×C7×C22⋊Q8C22semidirect
35. C2×C7×C22⋊Q8C22semidirect
37. C2×#6509C22semidirect
39. C2×#6487C22semidirect
43. C2×#6459C22semidirect
44. C2×#6459C22semidirect
45. C2×#6459C22semidirect
51. C2×#6441C22semidirect
53. C7×#399C22semidirect
54. C7×#399C22semidirect
55. C7×#398C22semidirect
56. C7×#398C22semidirect
57. C7×#396C22semidirect
58. C7×#396C22semidirect
59. C7×#391C22semidirect
61. C7×#389C22semidirect
64. C7×#385C22semidirect
65. C7×#385C22semidirect
66. #90003C22semidirect
67. #90001C22semidirect
73. #89984C22semidirect
74. #89982C22semidirect
75. #89982C22semidirect
76. #89766C22semidirect
77. #89766C22semidirect
78. #89766C22semidirect
79. #89766C22semidirect
80. #89766C22semidirect
81. #89766C22semidirect
82. #89766C22semidirect
83. #89764C22semidirect
84. #89764C22semidirect
85. #89764C22semidirect
86. #89764C22semidirect
93. #89761C22semidirect
94. #89761C22semidirect
95. #89761C22semidirect
96. #89761C22semidirect
97. #89761C22semidirect
101. #89759C22semidirect
102. #89759C22semidirect
103. #89759C22semidirect
104. #89758C22semidirect
105. #89757C22semidirect
106. #89755C22semidirect
107. #89755C22semidirect
108. #89754C22semidirect
109. #89753C22semidirect
110. #89752C22semidirect
111. #89751C22semidirect
112. #89751C22semidirect
113. #89750C22semidirect
114. #89750C22semidirect
115. #89746C22semidirect
116. #89744C22semidirect
133. #89722C22semidirect
134. #89721C22semidirect
135. #89721C22semidirect
136. #89720C22semidirect
137. #89720C22semidirect
138. #89720C22semidirect
139. #89720C22semidirect
140. #89720C22semidirect
141. #89720C22semidirect
142. #89719C22semidirect
143. #89719C22semidirect
144. #89719C22semidirect
145. #89719C22semidirect
146. #89718C22semidirect
147. #89718C22semidirect
148. #89718C22semidirect
149. #89714C22semidirect
150. #89714C22semidirect
151. #89714C22semidirect
153. #89705C22semidirect
154. #89705C22semidirect
155. #89448C22semidirect
156. #89445C22semidirect
157. #89445C22semidirect
158. #89445C22semidirect
161. #89440C22semidirect
162. #89440C22semidirect
163. #89440C22semidirect
166. #89439C22semidirect
175. #89433C22semidirect
176. #89432C22semidirect
177. #89430C22semidirect
178. #89429C22semidirect
179. #89429C22semidirect
180. #89428C22semidirect
181. #89427C22semidirect
182. #89426C22semidirect
183. #89424C22semidirect
184. #89419C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
200. C2×D4×D7Q8semidirect
380. #2732D7semidirect
613. C2×C22⋊Q8C2×D7semidirect
614. C2×C22⋊Q8C2×D7semidirect
632. #399C2×D7semidirect
633. #399C2×D7semidirect
640. #398C2×D7semidirect
641. #398C2×D7semidirect
656. #396C2×D7semidirect
657. #396C2×D7semidirect
673. #391C2×D7semidirect
685. #389C2×D7semidirect
732. #385C2×D7semidirect
733. #385C2×D7semidirect
1518. C7#36747semidirect

Maximal subgroups

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

subgroupindex
C7×#27322
#117402792
#117402752
#117402612
#117402382
#117355682
#117355552
#117355472
#117355302
#117354452
#117354202
#117353952
#117353942
#117348812
#117348692
#117348632
#117348222
#117340722
#117340092
#117338732
#117338592
#117337232
#117336672
#117323192
D7×#3862
#117323062
#117322752
#117321002
#117320522
#117320262
#117320092
#367477