Finite Group Databasebeta

← #14216894

Subgroups — #14216894

Order 1792.

2288 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2602C211yesmaximal, characteristic, complemented
2#11740344C211yesmaximal, characteristic, complemented
3#11740298C211yesmaximal, characteristic, complemented
4#11739843C211yesmaximal, characteristic, complemented
5#11739788C211yesmaximal, characteristic, complemented
6#11734962C211yesmaximal, characteristic, complemented
7#11734918C211yesmaximal, characteristic, complemented
8#11734594C211yesmaximal, characteristic, complemented
9#11734573C211yesmaximal, characteristic, complemented
10#11734382C211yesmaximal, characteristic, complemented
11#11734362C211yesmaximal, characteristic, complemented
12#11734203C211yesmaximal, characteristic, complemented
13#11734117C211yesmaximal, characteristic, complemented
14#11733899C211yesmaximal, characteristic, complemented
15#11733735C211yesmaximal, characteristic, complemented
16#11733534C211yesmaximal, characteristic, complemented
17#11733409C211yesmaximal, characteristic, complemented
18#11733281C211yesmaximal, characteristic, complemented
19#11733128C211yesmaximal, characteristic, complemented
20#11733002C211yesmaximal, characteristic, complemented
21#11732949C211yesmaximal, characteristic, complemented
22#11732932C211yesmaximal, characteristic, complemented
23#11732932C211yesmaximal, characteristic, complemented
24#11732777C211yesmaximal, characteristic, complemented
25#11732553C211yesmaximal, characteristic, complemented
26#11732349C211yesmaximal, characteristic, complemented
27#11732330C211yesmaximal, characteristic, complemented
28#11732090C211yesmaximal, characteristic, complemented
29#11732041C211yesmaximal, characteristic, complemented
30#11731047C211yesmaximal, characteristic, complemented
31C4×#6447C211yesmaximal, characteristic, complemented
32C22×#1159C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic, complemented
34C2×C4×C7×D4C2211yescharacteristic
35C2×#6503C2211yescharacteristic
36C2×#6502C2211yescharacteristic, complemented
37C2×#6501C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic, complemented
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C2×#6458C2211yescharacteristic
45C2×#6457C2211yescharacteristic
46C2×#6456C2211yescharacteristic
47C2×#6456C2211yescharacteristic
48C2×#6456C2211yescharacteristic, complemented
49C2×#6455C2211yescharacteristic, complemented
50C2×#6448C2211yescharacteristic, complemented
51C2×#6447C2211yescharacteristic
52C2×#6447C2211yescharacteristic
53C2×#6446C2211yescharacteristic
54C2×#6446C2211yescharacteristic
55C2×#6446C2211yescharacteristic
56C2×#6446C2211yescharacteristic, complemented
57C2×#6445C2211yescharacteristic
58C2×#6445C2211yescharacteristic
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×C42×D7C2211yescharacteristic, complemented
63C7×#397C2211yescharacteristic, complemented
64C7×#394C2211yescharacteristic
65C7×#394C2211yescharacteristic, complemented
66C7×#392C2211yescharacteristic
67C7×#390C2211yescharacteristic
68C7×#389C2211yescharacteristic, complemented
69C7×#388C2211yescharacteristic
70C7×#388C2211yescharacteristic, complemented
71C7×#388C2211yescharacteristic, complemented
72C7×#387C2211yescharacteristic, complemented
73C7×#386C2211yescharacteristic
74C7×#385C2211yescharacteristic
75C4×C7×C22⋊C4C2211yescharacteristic, complemented
76#89995C2211yescharacteristic
77#89995C2211yescharacteristic
78#89995C2211yescharacteristic, complemented
79#89993C2211yescharacteristic
80#89993C2211yescharacteristic
81#89992C2211yescharacteristic
82#89985C2211yescharacteristic
83#89985C2211yescharacteristic
84#89985C2211yescharacteristic, complemented
85#89982C2211yescharacteristic
86#89766C2211yescharacteristic, complemented
87#89764C2211yescharacteristic
88#89762C2211yescharacteristic
89#89762C2211yescharacteristic
90#89762C2211yescharacteristic
91#89762C2211yescharacteristic, complemented
92#89761C2211yescharacteristic
93#89761C2211yescharacteristic
94#89761C2211yescharacteristic
95#89760C2211yescharacteristic
96#89759C2211yescharacteristic, complemented
97#89758C2211yescharacteristic, complemented
98#89756C2211yescharacteristic, complemented
99#89753C2211yescharacteristic, complemented
100#89752C2211yescharacteristic, complemented
101C4⋊C4×Dic7C2211yescharacteristic, complemented
102C4⋊C4×Dic7C2211yescharacteristic, complemented
103#89746C2211yescharacteristic, complemented
104#89732C2211yescharacteristic
105#89732C2211yescharacteristic
106#89732C2211yescharacteristic
107#89732C2211yescharacteristic
108#89732C2211yescharacteristic
109#89732C2211yescharacteristic
110#89732C2211yescharacteristic, complemented
111#89731C2211yescharacteristic
112#89731C2211yescharacteristic, complemented
113#89730C2211yescharacteristic
114#89730C2211yescharacteristic
115#89730C2211yescharacteristic
116#89729C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic, complemented
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic, complemented
127#89728C2211yescharacteristic, complemented
128#89728C2211yescharacteristic, complemented
129#89728C2211yescharacteristic, complemented
130#89725C2211yescharacteristic, complemented
131#89723C2211yescharacteristic
132#89723C2211yescharacteristic, complemented
133#89721C2211yescharacteristic
134#89721C2211yescharacteristic
135#89717C2211yescharacteristic, complemented
136#89716C2211yescharacteristic, complemented
137#89716C2211yescharacteristic, complemented
138#89716C2211yescharacteristic, complemented
139#89715C2211yescharacteristic
140C22⋊C4×Dic7C2211yescharacteristic
141C22⋊C4×Dic7C2211yescharacteristic
142C22⋊C4×Dic7C2211yescharacteristic, complemented
143C22⋊C4×Dic7C2211yescharacteristic, complemented
144C22⋊C4×Dic7C2211yescharacteristic, complemented
145#89712C2211yescharacteristic
146#89712C2211yescharacteristic, complemented
147#89711C2211yescharacteristic
148#89711C2211yescharacteristic, complemented
149C4×(C2×D7)⋊C4C2211yescharacteristic
150C4×(C2×D7)⋊C4C2211yescharacteristic
151C4×(C2×D7)⋊C4C2211yescharacteristic
152C4×Dic7⋊C4C2211yescharacteristic, complemented
153C4×Dic7⋊C4C2211yescharacteristic, complemented
154#89701C2211yescharacteristic, complemented
155#89449C2211yescharacteristic
156#89448C2211yescharacteristic, complemented
157#89447C2211yescharacteristic, complemented
158#89446C2211yescharacteristic, complemented
159#89445C2211yescharacteristic
160#89445C2211yescharacteristic
161#89443C2211yescharacteristic
162#89442C2211yescharacteristic, complemented
163#89441C2211yescharacteristic
164#89441C2211yescharacteristic
165#89440C2211yescharacteristic
166#89439C2211yescharacteristic, complemented
167#89438C2211yescharacteristic
168#89438C2211yescharacteristic
169#89438C2211yescharacteristic
170#89438C2211yescharacteristic, complemented
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic, complemented
178#89430C2211yescharacteristic, complemented
179#89426C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#60034—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
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C2×#1159—24no—
207C2×#1159—42no—
208C2×#1159—42no—
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×Dic14C2311yescharacteristic
223C7×#123—42no—
224C4×C7×D4—42no—
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×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C42×C7C2311yescharacteristic
245C2×C42×C7C2311yescharacteristic
246C2×C42×C7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258#6503—24no—
259#6502—42no—
260#6501—42no—
261#6500—24no—
262#6500—42no—
263C4×C22⋊D7—42no—
264C4×C22⋊D7—42no—
265C4×C22⋊D7—42no—
266C2×(C2×D7)⋊C4—42no—
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
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
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323#6458—24no—
324#6457—42no—
325#6456—42no—
326#6456—42no—
327#6456—42no—
328#6455—42no—
329#6448—42no—
330#6447—24no—
331#6447—42no—
332#6446—24no—
333#6446—24no—
334#6446—42no—
335#6446—42no—
336#6445—24no—
337#6445—24no—
338D7×C22⋊C4—42no—
339D7×C22⋊C4—42no—
340C4×D28—42no—
341C42×D7—42no—
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
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376#2748—71no—
377#2703—71no—
378#2703—71no—
379#2669—71no—
380#2602—71no—
381#2602D711yescharacteristic, complemented
382#2589—71no—
383#2589—71no—
384#2557—71no—
385#2557—71no—
386#2539—71no—
387#2539—71no—
388#2516—71no—
389#2516—71no—
390#2471—71no—
391#2471—71no—
392#2464—71no—
393#2464—71no—
394#2456—71no—
395#2456—71no—
396#2431—71no—
397#2404—71no—
398#2374—71no—
399#2374—71no—
400#2366—71no—
401#2358—71no—
402#2358—71no—
403#2358—71no—
404C4×#121—71no—
405C4×#121—71no—
406#2297—71no—
407C24×C7C2411yescharacteristic
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C2×C7×D4—22no—
425C2×C7×D4—41no—
426C2×C7×D4—41no—
427C2×C7×D4—41no—
428C2×C7×D4—41no—
429C2×C7×D4—41no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7#4114yes—
478C22×Dic7—22no—
479C22×Dic7—22no—
480C22×Dic7—22no—
481C22×Dic7—22no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496#1159—416no—
497C2×D28—22no—
498C2×D28—22no—
499C2×D28—22no—
500C2×D28—22no—
501C2×D28—22no—
502C2×D28—22no—
503C2×D28—22no—
504C2×D28—22no—
505C2×D28—22no—
506C2×D28—41no—
507C2×D28—41no—
508C2×D28—41no—
509C2×D28—41no—
510C2×D28—41no—
511C2×D28—41no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—22no—
520C2×C4×D7—22no—
521C2×C4×D7—22no—
522C2×C4×D7—22no—
523C2×C4×D7—22no—
524C2×C4×D7—41no—
525C2×C4×D7—41no—
526C2×C4×D7—41no—
527C2×C4×D7—41no—
528C2×C4×D7—41no—
529C2×C4×D7—41no—
530C2×C4×D7—41no—
531C2×C4×D7—41no—
532C2×C4×D7—41no—
533C2×C4×D7—41no—
534C2×C4×D7—41no—
535C2×C4×D7—41no—
536C2×Dic14—22no—
537C2×Dic14—22no—
538C2×Dic14—41no—
539C7×C4⋊C4—22no—
540C7×C4⋊C4—22no—
541C7×C4⋊C4—22no—
542C7×C4⋊C4—22no—
543C7×C4⋊C4—41no—
544C7×C4⋊C4—41no—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—22no—
547C7×C22⋊C4—22no—
548C7×C22⋊C4—22no—
549C7×C22⋊C4—22no—
550C7×C22⋊C4—22no—
551C7×C22⋊C4—22no—
552C7×C22⋊C4—22no—
553C7×C22⋊C4—41no—
554C7×C22⋊C4—41no—
555C7×C22⋊C4—41no—
556C7×C22⋊C4—41no—
557C7×C22⋊C4—41no—
558C42×C7—41no—
559C42×C7—41no—
560C42×C7—41no—
561C22⋊Dic7—22no—
562C22⋊Dic7—22no—
563C22⋊Dic7—22no—
564C22⋊Dic7—22no—
565C22⋊Dic7—22no—
566C22⋊Dic7—22no—
567C22⋊Dic7—22no—
568C22⋊Dic7—41no—
569C22⋊Dic7—41no—
570C22⋊Dic7—41no—
571C22⋊Dic7—41no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4—41no—
596(C2×D7)⋊C4—41no—
597(C2×D7)⋊C4—41no—
598(C2×D7)⋊C4—41no—
599(C2×D7)⋊C4—41no—
600(C2×D7)⋊C4#4114yescomplemented
601(C2×D7)⋊C4#4114yescomplemented
602C4⋊Dic7—22no—
603C4⋊Dic7—22no—
604C4⋊Dic7—22no—
605C4⋊Dic7—22no—
606C4⋊Dic7—41no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—41no—
612Dic7⋊C4—41no—
613Dic7⋊C4—41no—
614Dic7⋊C4—41no—
615Dic7⋊C4—41no—
616Dic7⋊C4—41no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—41no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627C4×Dic7—41no—
628C22×#41—71no—
629C2×#127—71no—
630C2×#124—71no—
631C2×#123—71no—
632C2×#123—71no—
633C2×#123—71no—
634C2×#123—71no—
635C2×#123—71no—
636C2×#123C2×D711yescharacteristic, complemented
637C2×#121—71no—
638C2×#121—71no—
639C2×#121—71no—
640C2×#121—71no—
641C2×#121—71no—
642C2×#120—71no—
643C2×#120—71no—
644C2×#120—71no—
645C2×#120—71no—
646C2×C4×D4—71no—
647C2×C4×D4—71no—
648C2×C4×D4—71no—
649C2×C4×D4—71no—
650C2×C4×D4—71no—
651C2×C4×D4—71no—
652C2×C4×D4—71no—
653C2×C4×D4C2×D711yescharacteristic
654C2×#117—71no—
655C22×C22⋊C4—71no—
656C22×C22⋊C4—71no—
657C22×C22⋊C4—71no—
658C22×C42—71no—
659#400—71no—
660#400—71no—
661#399—71no—
662#399—71no—
663#399—71no—
664#399—71no—
665#398—71no—
666#398—71no—
667#397—71no—
668#397—71no—
669#397—71no—
670#397C2×D711yescharacteristic, complemented
671#396—71no—
672#396—71no—
673#394—71no—
674#394—71no—
675#394C2×D711yescharacteristic
676#394C2×D711yescharacteristic, complemented
677#393—71no—
678#393—71no—
679#392—71no—
680#392—71no—
681#392—71no—
682#392—71no—
683#392—71no—
684#392—71no—
685#392—71no—
686#392—71no—
687#392—71no—
688#392—71no—
689#392—71no—
690#392C2×D711yescharacteristic
691#391—71no—
692#391—71no—
693#391—71no—
694#390—71no—
695#390—71no—
696#390—71no—
697#390—71no—
698#390—71no—
699#390—71no—
700#390—71no—
701#390—71no—
702#390—71no—
703#390—71no—
704#390—71no—
705#390—71no—
706#390C2×D711yescharacteristic
707#389—71no—
708#389C2×D711yescharacteristic, complemented
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#388—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388C2×D711yescharacteristic
725#388C2×D711yescharacteristic, complemented
726#388C2×D711yescharacteristic, complemented
727#387—71no—
728#387—71no—
729#387—71no—
730#387—71no—
731#387—71no—
732#387—71no—
733#387—71no—
734#387C2×D711yescharacteristic, complemented
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386C2×D711yescharacteristic
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385C2×D711yescharacteristic
763#381—71no—
764#380—71no—
765#380—71no—
766C4×C4⋊C4—71no—
767C4×C4⋊C4—71no—
768C4×C4⋊C4—71no—
769C4×C4⋊C4—71no—
770C4×C22⋊C4—71no—
771C4×C22⋊C4—71no—
772C4×C22⋊C4—71no—
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4—71no—
781C4×C22⋊C4—71no—
782C4×C22⋊C4C2×D711yescharacteristic, complemented
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7C2×#4112yes—
804C23×C7C2511yescharacteristic
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7—44no—
833C22×D7—82no—
834C22×D7—82no—
835C22×D7—82no—
836C22×D7—82no—
837C22×D7C2×#4112yes—
838C22×D7C2×#4112yes—
839C22×D7C2×#4112yes—
840C7×D4—44no—
841C7×D4—44no—
842C7×D4—82no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—82no—
876C2×C4×C7—82no—
877C2×C4×C7C2×#4112yes—
878C2×C4×C7C2×#4112yes—
879C2×C4×C7H(5,𝔽2)12yes—
880C2×C4×C7H(5,𝔽2)12yes—
881C22⋊D7—44no—
882C22⋊D7—44no—
883C22⋊D7—44no—
884C22⋊D7—44no—
885C22⋊D7—44no—
886C22⋊D7—82no—
887C22⋊D7—82no—
888C22⋊D7—82no—
889C22⋊D7—82no—
890C22⋊D7—82no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—44no—
923C2×Dic7—44no—
924C2×Dic7C2×#4112yes—
925C2×Dic7C2×#4112yes—
926C2×Dic7C2×#4112yes—
927C2×Dic7H(5,𝔽2)12yes—
928C2×Dic7H(5,𝔽2)12yes—
929D28—44no—
930D28—44no—
931D28—44no—
932D28—44no—
933D28—82no—
934C4×D7—28no—
935C4×D7—44no—
936C4×D7—44no—
937C4×D7—82no—
938C4×D7—82no—
939C4×D7—82no—
940C4×D7—82no—
941C4×D7—82no—
942Dic14—44no—
943C25—71no—
944C2×#41—144no—
945C2×#41—282no—
946C2×#41—282no—
947C22×Q8—71no—
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—71no—
951C22×D4—71no—
952C22×D4—71no—
953C22×D4—71no—
954C22×D4—71no—
955C22×D4—71no—
956C22×D4—71no—
957C22×D4—71no—
958C22×D4—71no—
959C22×D4—71no—
960C22×D4—71no—
961C22×D4—71no—
962C22×D4—71no—
963C22×D4C22×D711yescharacteristic
964C22×D4C22×D711yescharacteristic
965C22×D4C22×D711yescharacteristic
966C23×C4—71no—
967C23×C4—71no—
968C23×C4—71no—
969C23×C4—71no—
970C23×C4—71no—
971C23×C4—71no—
972C23×C4—71no—
973C23×C4—71no—
974C23×C4—71no—
975C23×C4—71no—
976C23×C4C22×D711yescharacteristic
977C23×C4C22×D711yescharacteristic
978#127—144no—
979#124—282no—
980#123—42no—
981#123—144no—
982#123—144no—
983#123—282no—
984#123—282no—
985#123—282no—
986#121—144no—
987#121—144no—
988#121—282no—
989#121—282no—
990#121—282no—
991#120—144no—
992#120—144no—
993#120—144no—
994#120—282no—
995C4×D4—42no—
996C4×D4—282no—
997C4×D4—282no—
998C4×D4—282no—
999C4×D4—282no—
1000C4×D4—282no—
1001C4×D4—282no—
1002C4×D4—282no—
1003#117—282no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4C22×D711yescharacteristic
1020C2×C4⋊C4C22×D711yescharacteristic
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—282no—
1067C2×C22⋊C4—282no—
1068C2×C22⋊C4—282no—
1069C2×C22⋊C4C22×D711yescharacteristic
1070C2×C22⋊C4C22×D711yescharacteristic
1071C2×C22⋊C4C22×D711yescharacteristic
1072C2×C22⋊C4C22×D711yescharacteristic
1073C2×C22⋊C4C22×D711yescharacteristic
1074C2×C22⋊C4C22×D711yescharacteristic
1075C2×C22⋊C4C22×D711yescharacteristic
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C22⋊C4C22×D711yescharacteristic
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—71no—
1093C2×C42—282no—
1094C2×C42C22×D711yescharacteristic
1095C2×C42C22×D711yescharacteristic
1096C2×C42C22×D711yescharacteristic
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130#95C22×D711yescharacteristic
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—41no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7—41no—
1147C22×C7—41no—
1148C22×C7—41no—
1149C22×C7—41no—
1150C22×C7—41no—
1151C22×C7—41no—
1152C22×C7C22×#4111yescharacteristic
1153C22×C7C22×#4111yescharacteristic
1154C22×C7C22×#4111yescharacteristic
1155C22×C7C2×H(5,𝔽2)11yescharacteristic
1156C22×C7C2×H(5,𝔽2)11yescharacteristic
1157C22×C7C2×H(5,𝔽2)11yescharacteristic
1158C22×C7C2×H(5,𝔽2)11yescharacteristic
1159C2×D7—22no—
1160C2×D7—22no—
1161C2×D7—22no—
1162C2×D7—22no—
1163C2×D7—22no—
1164C2×D7—22no—
1165C2×D7—22no—
1166C2×D7—22no—
1167C2×D7—22no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C2×D7—41no—
1181C2×D7—41no—
1182C2×D7—41no—
1183C2×D7—41no—
1184C2×D7—41no—
1185C2×D7—41no—
1186C2×D7—41no—
1187C2×D7—88no—
1188C4×C7—22no—
1189C4×C7—22no—
1190C4×C7—22no—
1191C4×C7—22no—
1192C4×C7—41no—
1193C4×C7—41no—
1194C4×C7—41no—
1195C4×C7—41no—
1196C4×C7—41no—
1197C4×C7—41no—
1198C4×C7—41no—
1199C4×C7—41no—
1200Dic7—22no—
1201Dic7—22no—
1202Dic7—22no—
1203Dic7—22no—
1204Dic7—22no—
1205Dic7—41no—
1206Dic7—41no—
1207Dic7—41no—
1208Dic7—41no—
1209Dic7—41no—
1210Dic7—41no—
1211Dic7—41no—
1212C24—71no—
1213C24—71no—
1214C24—71no—
1215C24—71no—
1216C24—142no—
1217C24—142no—
1218C24—142no—
1219C24—281no—
1220C24—281no—
1221C24—281no—
1222C24—281no—
1223C24C23×D711yescharacteristic
1224C24C23×D711yescharacteristic
1225C24C23×D711yescharacteristic
1226#41—2816no—
1227C2×Q8—142no—
1228C2×Q8—142no—
1229C2×Q8—281no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—74no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C2×D4—142no—
1249C2×D4—142no—
1250C2×D4—142no—
1251C2×D4—142no—
1252C2×D4—142no—
1253C2×D4—142no—
1254C2×D4—142no—
1255C2×D4—142no—
1256C2×D4—142no—
1257C2×D4—142no—
1258C2×D4—142no—
1259C2×D4—142no—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C2×D4—281no—
1264C2×D4—281no—
1265C2×D4—281no—
1266C2×D4—281no—
1267C2×D4—281no—
1268C2×D4—281no—
1269C2×D4—281no—
1270C2×D4—281no—
1271C2×D4—281no—
1272C2×D4—281no—
1273C2×D4—281no—
1274C2×D4—281no—
1275C2×D4—281no—
1276C2×D4—281no—
1277C2×D4—281no—
1278C2×D4—281no—
1279C2×D4—281no—
1280C2×D4—281no—
1281C2×D4—281no—
1282C2×D4—281no—
1283C2×D4—281no—
1284C22×C4—22no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—71no—
1291C22×C4—71no—
1292C22×C4—71no—
1293C22×C4—71no—
1294C22×C4—71no—
1295C22×C4—71no—
1296C22×C4—71no—
1297C22×C4—71no—
1298C22×C4—71no—
1299C22×C4—71no—
1300C22×C4—71no—
1301C22×C4—71no—
1302C22×C4—142no—
1303C22×C4—142no—
1304C22×C4—142no—
1305C22×C4—142no—
1306C22×C4—142no—
1307C22×C4—142no—
1308C22×C4—142no—
1309C22×C4—142no—
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—281no—
1319C22×C4—281no—
1320C22×C4—281no—
1321C22×C4—281no—
1322C22×C4—281no—
1323C22×C4—281no—
1324C22×C4—281no—
1325C22×C4—281no—
1326C22×C4—281no—
1327C22×C4—281no—
1328C22×C4—281no—
1329C22×C4—281no—
1330C22×C4—281no—
1331C22×C4—281no—
1332C22×C4C23×D711yescharacteristic
1333C22×C4C23×D711yescharacteristic
1334C22×C4C23×D711yescharacteristic
1335C22×C4C23×D711yescharacteristic
1336C22×C4C23×D711yescharacteristic
1337C22×C4C23×D711yescharacteristic
1338C22×C4C23×D711yescharacteristic
1339C22×C4C23×D711yescharacteristic
1340C22×C4C23×D711yescharacteristic
1341C22×C4C23×D711yescharacteristic
1342C22×C4C23×D711yescharacteristic
1343C22×C4C23×D711yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—142no—
1351C4⋊C4—142no—
1352C4⋊C4—142no—
1353C4⋊C4—142no—
1354C4⋊C4—142no—
1355C4⋊C4—142no—
1356C4⋊C4—142no—
1357C4⋊C4—142no—
1358C4⋊C4—281no—
1359C4⋊C4—281no—
1360C4⋊C4—281no—
1361C4⋊C4—281no—
1362C4⋊C4—281no—
1363C4⋊C4—281no—
1364C4⋊C4—281no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—74no—
1379C22⋊C4—74no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—142no—
1391C22⋊C4—142no—
1392C22⋊C4—142no—
1393C22⋊C4—142no—
1394C22⋊C4—142no—
1395C22⋊C4—142no—
1396C22⋊C4—142no—
1397C22⋊C4—142no—
1398C22⋊C4—142no—
1399C22⋊C4—142no—
1400C22⋊C4—142no—
1401C22⋊C4—281no—
1402C22⋊C4—281no—
1403C22⋊C4—281no—
1404C22⋊C4—281no—
1405C22⋊C4—281no—
1406C22⋊C4—281no—
1407C22⋊C4—281no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4—281no—
1412C22⋊C4—281no—
1413C22⋊C4—281no—
1414C22⋊C4—281no—
1415C22⋊C4—281no—
1416C22⋊C4—281no—
1417C22⋊C4—281no—
1418C22⋊C4—281no—
1419C42—41no—
1420C42—41no—
1421C42—41no—
1422C42—142no—
1423C42—142no—
1424C42—142no—
1425C42—281no—
1426C42—281no—
1427C42—281no—
1428C42—281no—
1429C42—281no—
1430C42—281no—
1431C42—281no—
1432C42—281no—
1433C2×C7—42no—
1434C2×C7—81no—
1435C2×C7—81no—
1436C2×C7#348111yescharacteristic
1437C2×C7#348111yescharacteristic
1438C2×C7#348111yescharacteristic
1439C2×C7#349011yescharacteristic
1440C2×C7#350811yescharacteristic
1441C2×C7#350811yescharacteristic
1442C2×C7#353711yescharacteristic
1443D7—42no—
1444D7—42no—
1445D7—42no—
1446D7—81no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—72no—
1468C23—72no—
1469C23—72no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—141no—
1474C23—141no—
1475C23—141no—
1476C23—141no—
1477C23—141no—
1478C23—141no—
1479C23—141no—
1480C23—141no—
1481C23—141no—
1482C23—141no—
1483C23—141no—
1484C23—141no—
1485C23—141no—
1486C23—141no—
1487C23—141no—
1488C23—141no—
1489C23—141no—
1490C23—141no—
1491C23—141no—
1492C23—141no—
1493C23—141no—
1494C23—141no—
1495C23—284no—
1496C23—284no—
1497C23—284no—
1498C23—562no—
1499C23—562no—
1500C23—562no—
1501C23—562no—
1502C23D7×#4112yes—
1503C23C24×D711yescharacteristic
1504Q8—284no—
1505D4—44no—
1506D4—44no—
1507D4—82no—
1508D4—284no—
1509D4—284no—
1510D4—284no—
1511D4—284no—
1512D4—284no—
1513D4—284no—
1514D4—284no—
1515D4—284no—
1516D4—284no—
1517D4—562no—
1518D4—562no—
1519D4—562no—
1520D4—562no—
1521D4—562no—
1522D4—562no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—72no—
1556C2×C4—72no—
1557C2×C4—72no—
1558C2×C4—72no—
1559C2×C4—72no—
1560C2×C4—82no—
1561C2×C4—82no—
1562C2×C4—148no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—141no—
1572C2×C4—141no—
1573C2×C4—141no—
1574C2×C4—141no—
1575C2×C4—141no—
1576C2×C4—141no—
1577C2×C4—141no—
1578C2×C4—141no—
1579C2×C4—141no—
1580C2×C4—141no—
1581C2×C4—141no—
1582C2×C4—141no—
1583C2×C4—141no—
1584C2×C4—141no—
1585C2×C4—141no—
1586C2×C4—141no—
1587C2×C4—141no—
1588C2×C4—141no—
1589C2×C4—141no—
1590C2×C4—141no—
1591C2×C4—141no—
1592C2×C4—141no—
1593C2×C4—141no—
1594C2×C4—284no—
1595C2×C4—284no—
1596C2×C4—284no—
1597C2×C4—284no—
1598C2×C4—562no—
1599C2×C4—562no—
1600C2×C4—562no—
1601C2×C4—562no—
1602C2×C4—562no—
1603C2×C4#654812yes—
1604C2×C4D7×#4112yes—
1605C2×C4D7×#4112yes—
1606C2×C4#655312yes—
1607C7#6003411yescharacteristic, complemented, Sylow
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—142no—
1630C22—142no—
1631C22—142no—
1632C22—142no—
1633C22—142no—
1634C22—142no—
1635C22—142no—
1636C22—142no—
1637C22—142no—
1638C22—281no—
1639C22—281no—
1640C22—281no—
1641C22—281no—
1642C22—281no—
1643C22—281no—
1644C22—281no—
1645C22—281no—
1646C22—281no—
1647C22—281no—
1648C22—281no—
1649C22—281no—
1650C22—281no—
1651C22—281no—
1652C22—281no—
1653C22—281no—
1654C22—281no—
1655C22—281no—
1656C22—281no—
1657C22—568no—
1658C22C2×#654811yescharacteristic
1659C22C2×D7×#4111yescharacteristic
1660C22C2×D7×#4111yescharacteristic
1661C22C2×D7×#4111yescharacteristic
1662C22C2×#655311yescharacteristic
1663C22D7×H(5,𝔽2)11yescharacteristic
1664C22D7×H(5,𝔽2)11yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—142no—
1678C4—142no—
1679C4—142no—
1680C4—142no—
1681C4—142no—
1682C4—281no—
1683C4—281no—
1684C4—281no—
1685C4—281no—
1686C4—281no—
1687C4—281no—
1688C4—281no—
1689C2—42no—
1690C2—81no—
1691C2—81no—
1692C2—282no—
1693C2—282no—
1694C2—282no—
1695C2—561no—
1696C2#1174310611yescharacteristic
1697C2#1174331311yescharacteristic
1698C2#1174336911yescharacteristic
1699C2#1174388311yescharacteristic
1700C2#1174394411yescharacteristic
1701C2#1174394411yescharacteristic
1702C2#1174411911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2602C2
hypercenter#2602D7
hypocenterC7#60034
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C7×#2602C2semidirect
2. #11740344C2semidirect
3. #11740298C2semidirect
4. #11739843C2semidirect
5. #11739788C2semidirect
6. #11734962C2semidirect
7. #11734918C2semidirect
8. #11734594C2semidirect
9. #11734573C2semidirect
10. #11734382C2semidirect
11. #11734362C2semidirect
12. #11734203C2semidirect
13. #11734117C2semidirect
14. #11733899C2semidirect
15. #11733735C2semidirect
16. #11733534C2semidirect
17. #11733409C2semidirect
18. #11733281C2semidirect
19. #11733128C2semidirect
20. #11733002C2semidirect
21. #11732949C2semidirect
22. #11732932C2semidirect
23. #11732932C2semidirect
24. #11732777C2semidirect
25. #11732553C2semidirect
26. #11732349C2semidirect
27. #11732330C2semidirect
28. #11732090C2semidirect
29. #11732041C2semidirect
30. #11731047C2semidirect
31. C4×#6447C2semidirect
33. C2×C7×#123C22semidirect
36. C2×#6502C22semidirect
42. C2×C4×C22⋊D7C22semidirect
48. C2×#6456C22semidirect
49. C2×#6455C22semidirect
50. C2×#6448C22semidirect
56. C2×#6446C22semidirect
62. C2×C42×D7C22semidirect
63. C7×#397C22semidirect
65. C7×#394C22semidirect
68. C7×#389C22semidirect
70. C7×#388C22semidirect
71. C7×#388C22semidirect
72. C7×#387C22semidirect
75. C4×C7×C22⋊C4C22semidirect
78. #89995C22semidirect
84. #89985C22semidirect
86. #89766C22semidirect
91. #89762C22semidirect
96. #89759C22semidirect
97. #89758C22semidirect
98. #89756C22semidirect
99. #89753C22semidirect
100. #89752C22semidirect
101. C4⋊C4×Dic7C22semidirect
102. C4⋊C4×Dic7C22semidirect
103. #89746C22semidirect
110. #89732C22semidirect
112. #89731C22semidirect
122. #89729C22semidirect
126. #89728C22semidirect
127. #89728C22semidirect
128. #89728C22semidirect
129. #89728C22semidirect
130. #89725C22semidirect
132. #89723C22semidirect
135. #89717C22semidirect
136. #89716C22semidirect
137. #89716C22semidirect
138. #89716C22semidirect
142. C22⋊C4×Dic7C22semidirect
143. C22⋊C4×Dic7C22semidirect
144. C22⋊C4×Dic7C22semidirect
146. #89712C22semidirect
148. #89711C22semidirect
152. C4×Dic7⋊C4C22semidirect
153. C4×Dic7⋊C4C22semidirect
154. #89701C22semidirect
156. #89448C22semidirect
157. #89447C22semidirect
158. #89446C22semidirect
162. #89442C22semidirect
166. #89439C22semidirect
170. #89438C22semidirect
177. #89437C22semidirect
178. #89430C22semidirect
179. #89426C22semidirect
180. #89425C22semidirect
181. #89425C22semidirect
182. #89425C22semidirect
183. #89424C22semidirect
184. #89424C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
381. #2602D7semidirect
600. (C2×D7)⋊C4#41semidirect
601. (C2×D7)⋊C4#41semidirect
636. C2×#123C2×D7semidirect
670. #397C2×D7semidirect
676. #394C2×D7semidirect
708. #389C2×D7semidirect
725. #388C2×D7semidirect
726. #388C2×D7semidirect
734. #387C2×D7semidirect
782. C4×C22⋊C4C2×D7semidirect
1607. C7#60034semidirect

Maximal subgroups

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

subgroupindex
C7×#26022
#117403442
#117402982
#117398432
#117397882
#117349622
#117349182
#117345942
#117345732
#117343822
#117343622
#117342032
#117341172
#117338992
#117337352
#117335342
#117334092
#117332812
#117331282
#117330022
#117329492
#117329322
#117327772
#117325532
#117323492
#117323302
#117320902
#117320412
#117310472
C4×#64472
#600347