Finite Group Databasebeta

← #14216892

Subgroups — #14216892

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×#2456C211yesmaximal, characteristic, complemented
2#11740347C211yesmaximal, characteristic, complemented
3#11740298C211yesmaximal, characteristic, complemented
4#11740153C211yesmaximal, characteristic, complemented
5#11740104C211yesmaximal, characteristic, complemented
6#11739843C211yesmaximal, characteristic, complemented
7#11739788C211yesmaximal, characteristic, complemented
8C4×#6502C211yesmaximal, characteristic, complemented
9C4×#6502C211yesmaximal, characteristic, complemented
10#11734822C211yesmaximal, characteristic, complemented
11#11734745C211yesmaximal, characteristic, complemented
12#11734209C211yesmaximal, characteristic, complemented
13#11734199C211yesmaximal, characteristic, complemented
14#11734167C211yesmaximal, characteristic, complemented
15#11734166C211yesmaximal, characteristic, complemented
16#11734130C211yesmaximal, characteristic, complemented
17#11734117C211yesmaximal, characteristic, complemented
18#11733899C211yesmaximal, characteristic, complemented
19#11733753C211yesmaximal, characteristic, complemented
20#11733329C211yesmaximal, characteristic, complemented
21#11733091C211yesmaximal, characteristic, complemented
22#11733003C211yesmaximal, characteristic, complemented
23#11732932C211yesmaximal, characteristic, complemented
24#11732552C211yesmaximal, characteristic, complemented
25#11732478C211yesmaximal, characteristic, complemented
26#11732344C211yesmaximal, characteristic, complemented
27#11732325C211yesmaximal, characteristic, complemented
28#11732203C211yesmaximal, characteristic, complemented
29#11732103C211yesmaximal, characteristic, complemented
30#11732041C211yesmaximal, characteristic, complemented
31#11731937C211yesmaximal, characteristic, complemented
32C22×#1159C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic, complemented
34C2×C7×#121C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×C4×C7×D4C2211yescharacteristic, complemented
37C2×#6503C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic, complemented
41C2×#6500C2211yescharacteristic
42C2×#6500C2211yescharacteristic
43C2×#6500C2211yescharacteristic
44C2×#6498C2211yescharacteristic
45C2×#6498C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C2×C4×C22⋊D7C2211yescharacteristic
50C2×C4×C22⋊D7C2211yescharacteristic, complemented
51C22×(C2×D7)⋊C4C2211yescharacteristic
52C22×C4×Dic7C2211yescharacteristic, complemented
53C2×#6457C2211yescharacteristic
54C2×#6456C2211yescharacteristic
55C2×#6448C2211yescharacteristic, complemented
56C2×#6447C2211yescharacteristic
57C2×#6446C2211yescharacteristic
58C2×#6446C2211yescharacteristic, complemented
59C2×#6445C2211yescharacteristic
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×#6440C2211yescharacteristic, complemented
63C7×#396C2211yescharacteristic, complemented
64C7×#392C2211yescharacteristic
65C7×#392C2211yescharacteristic
66C7×#392C2211yescharacteristic, complemented
67C7×#390C2211yescharacteristic
68C7×#388C2211yescharacteristic, complemented
69C7×#388C2211yescharacteristic, complemented
70C7×#387C2211yescharacteristic, complemented
71C7×#386C2211yescharacteristic
72C7×#386C2211yescharacteristic, complemented
73C7×#385C2211yescharacteristic
74#89995C2211yescharacteristic
75#89995C2211yescharacteristic
76#89995C2211yescharacteristic
77#89995C2211yescharacteristic
78#89995C2211yescharacteristic
79#89995C2211yescharacteristic, complemented
80#89994C2211yescharacteristic, complemented
81#89993C2211yescharacteristic
82#89993C2211yescharacteristic, complemented
83#89992C2211yescharacteristic
84#89992C2211yescharacteristic
85#89992C2211yescharacteristic
86#89992C2211yescharacteristic, complemented
87#89992C2211yescharacteristic, complemented
88#89985C2211yescharacteristic
89#89985C2211yescharacteristic, complemented
90#89982C2211yescharacteristic
91C4×C22⋊Dic7C2211yescharacteristic
92C4×C22⋊Dic7C2211yescharacteristic, complemented
93#89764C2211yescharacteristic
94#89764C2211yescharacteristic
95#89764C2211yescharacteristic
96#89762C2211yescharacteristic
97#89762C2211yescharacteristic
98#89762C2211yescharacteristic, complemented
99#89762C2211yescharacteristic, complemented
100#89761C2211yescharacteristic
101#89761C2211yescharacteristic
102#89760C2211yescharacteristic
103#89755C2211yescharacteristic, complemented
104#89752C2211yescharacteristic, complemented
105#89750C2211yescharacteristic, complemented
106#89750C2211yescharacteristic, complemented
107#89750C2211yescharacteristic, complemented
108C4⋊C4×Dic7C2211yescharacteristic, complemented
109#89744C2211yescharacteristic, complemented
110#89744C2211yescharacteristic, complemented
111#89732C2211yescharacteristic
112#89732C2211yescharacteristic
113#89732C2211yescharacteristic
114#89731C2211yescharacteristic
115#89731C2211yescharacteristic, complemented
116#89730C2211yescharacteristic
117#89730C2211yescharacteristic
118#89730C2211yescharacteristic
119#89730C2211yescharacteristic
120#89730C2211yescharacteristic, complemented
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic, complemented
129#89728C2211yescharacteristic
130#89728C2211yescharacteristic
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic
133#89728C2211yescharacteristic
134#89728C2211yescharacteristic, complemented
135#89724C2211yescharacteristic, complemented
136#89724C2211yescharacteristic, complemented
137#89721C2211yescharacteristic
138#89720C2211yescharacteristic, complemented
139#89719C2211yescharacteristic
140#89717C2211yescharacteristic
141#89717C2211yescharacteristic
142#89717C2211yescharacteristic
143#89717C2211yescharacteristic, complemented
144#89717C2211yescharacteristic, complemented
145#89717C2211yescharacteristic, complemented
146#89717C2211yescharacteristic, complemented
147#89716C2211yescharacteristic, complemented
148#89714C2211yescharacteristic, complemented
149#89714C2211yescharacteristic, complemented
150C22⋊C4×Dic7C2211yescharacteristic
151C22⋊C4×Dic7C2211yescharacteristic
152C22⋊C4×Dic7C2211yescharacteristic, complemented
153C22⋊C4×Dic7C2211yescharacteristic, complemented
154C22⋊C4×Dic7C2211yescharacteristic, complemented
155#89712C2211yescharacteristic
156#89711C2211yescharacteristic
157C4×(C2×D7)⋊C4C2211yescharacteristic
158C4×(C2×D7)⋊C4C2211yescharacteristic
159C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162C4×Dic7⋊C4C2211yescharacteristic, complemented
163#89447C2211yescharacteristic, complemented
164#89447C2211yescharacteristic, complemented
165#89445C2211yescharacteristic
166#89444C2211yescharacteristic
167#89441C2211yescharacteristic
168#89441C2211yescharacteristic
169#89441C2211yescharacteristic, complemented
170#89440C2211yescharacteristic
171#89440C2211yescharacteristic
172#89438C2211yescharacteristic
173#89438C2211yescharacteristic
174#89438C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89436C2211yescharacteristic
178#89431C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89427C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89418C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#60034—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C2×#1159—24no—
213C2×#1159—42no—
214C2×#1159—42no—
215C22×D28C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×Dic14C2311yescharacteristic
223C7×#123—42no—
224C7×#121—42no—
225C4×C7×D4—42no—
226C4×C7×D4—42no—
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊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×C7×C22⋊C4C2311yescharacteristic
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
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264#6503—24no—
265#6502—24no—
266#6502—24no—
267#6502—42no—
268#6500—24no—
269#6500—24no—
270#6500—42no—
271#6498—24no—
272#6498—42no—
273C4×C22⋊D7—42no—
274C4×C22⋊D7—42no—
275C4×C22⋊D7—42no—
276C4×C22⋊D7—42no—
277C4×C22⋊D7—42no—
278C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×C4×Dic7—42no—
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332#6457—42no—
333#6456—42no—
334#6448—42no—
335#6447—42no—
336#6446—24no—
337#6446—42no—
338#6445—24no—
339D7×C22⋊C4—42no—
340D7×C22⋊C4—42no—
341#6440—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#2602—71no—
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#2456D711yescharacteristic, complemented
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
410C24×C7C2411yescharacteristic
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—22no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7—41no—
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—22no—
426C2×C7×D4—22no—
427C2×C7×D4—22no—
428C2×C7×D4—41no—
429C2×C7×D4—41no—
430C2×C7×D4—41no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C2×C7×D4—41no—
434C2×C7×D4—41no—
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—22no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7—41no—
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7—41no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C2×C22⋊D7—41no—
488C2×C22⋊D7#4114yes—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—22no—
496C22×Dic7—22no—
497C22×Dic7—41no—
498C22×Dic7—41no—
499C22×Dic7—41no—
500C22×Dic7—41no—
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514#1159—416no—
515C2×D28—22no—
516C2×D28—22no—
517C2×D28—22no—
518C2×D28—41no—
519C2×D28—41no—
520C2×D28—41no—
521C2×C4×D7—22no—
522C2×C4×D7—22no—
523C2×C4×D7—22no—
524C2×C4×D7—22no—
525C2×C4×D7—22no—
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—41no—
542C7×C4⋊C4—41no—
543C7×C4⋊C4—41no—
544C7×C22⋊C4—22no—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—22no—
547C7×C22⋊C4—22no—
548C7×C22⋊C4—22no—
549C7×C22⋊C4—22no—
550C7×C22⋊C4—41no—
551C7×C22⋊C4—41no—
552C7×C22⋊C4—41no—
553C7×C22⋊C4—41no—
554C7×C22⋊C4—41no—
555C7×C22⋊C4—41no—
556C7×C22⋊C4—41no—
557C42×C7—41no—
558C42×C7—41no—
559C22⋊Dic7—22no—
560C22⋊Dic7—22no—
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—
572C22⋊Dic7—41no—
573C22⋊Dic7—41no—
574C22⋊Dic7—41no—
575C22⋊Dic7#4114yescomplemented
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—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4—22no—
589(C2×D7)⋊C4—22no—
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#4114yescomplemented
600C4⋊Dic7—22no—
601C4⋊Dic7—41no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
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—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—41no—
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×#121C2×D711yescharacteristic
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×D4C2×D711yescharacteristic
653C2×C4×D4C2×D711yescharacteristic, complemented
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#397—71no—
671#396—71no—
672#396C2×D711yescharacteristic, complemented
673#394—71no—
674#394—71no—
675#394—71no—
676#394—71no—
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#392C2×D711yescharacteristic
689#392C2×D711yescharacteristic
690#392C2×D711yescharacteristic, complemented
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#389—71no—
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#388—71no—
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#386C2×D711yescharacteristic
756#386C2×D711yescharacteristic, complemented
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⋊C4—71no—
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×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7C2×#4112yes—
810C23×C7C2×#4112yes—
811C23×C7C2511yescharacteristic
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—21no—
831C22×D7—44no—
832C22×D7—44no—
833C22×D7—44no—
834C22×D7—82no—
835C22×D7—82no—
836C22×D7—82no—
837C22×D7—82no—
838C22×D7C2×#4112yes—
839C22×D7C2×#4112yes—
840C7×D4—44no—
841C7×D4—44no—
842C7×D4—44no—
843C7×D4—82no—
844C7×D4—82no—
845C7×D4—82no—
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—21no—
876C2×C4×C7—44no—
877C2×C4×C7—82no—
878C2×C4×C7—82no—
879C2×C4×C7C2×#4112yes—
880C2×C4×C7H(5,𝔽2)12yes—
881C2×C4×C7H(5,𝔽2)12yes—
882C22⋊D7—44no—
883C22⋊D7—44no—
884C22⋊D7—44no—
885C22⋊D7—44no—
886C22⋊D7—44no—
887C22⋊D7—44no—
888C22⋊D7—44no—
889C22⋊D7—82no—
890C22⋊D7—82no—
891C22⋊D7—82no—
892C2×Dic7—28no—
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—21no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—44no—
927C2×Dic7—44no—
928C2×Dic7—82no—
929C2×Dic7C2×#4112yes—
930C2×Dic7C2×#4112yes—
931C2×Dic7C2×#4112yes—
932C2×Dic7C2×#4112yes—
933C2×Dic7H(5,𝔽2)12yes—
934C2×Dic7H(5,𝔽2)12yes—
935D28—44no—
936D28—82no—
937C4×D7—44no—
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×D4C22×D711yescharacteristic
961C22×D4C22×D711yescharacteristic
962C22×D4C22×D711yescharacteristic
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×C4C22×D711yescharacteristic
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—42no—
987#121—144no—
988#121—144no—
989#121—282no—
990#121—282no—
991#120—144no—
992#120—144no—
993#120—144no—
994#120—282no—
995C4×D4—42no—
996C4×D4—42no—
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⋊C4—71no—
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—71no—
1094C2×C42—282no—
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#95—71no—
1124#95—71no—
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—22no—
1135C22×C7—22no—
1136C22×C7—22no—
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×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7—41no—
1158C22×C7—41no—
1159C22×C7C22×#4111yescharacteristic
1160C22×C7C22×#4111yescharacteristic
1161C22×C7C22×#4111yescharacteristic
1162C22×C7C2×H(5,𝔽2)11yescharacteristic
1163C22×C7C2×H(5,𝔽2)11yescharacteristic
1164C22×C7C2×H(5,𝔽2)11yescharacteristic
1165C22×C7C2×H(5,𝔽2)11yescharacteristic
1166C2×D7—22no—
1167C2×D7—22no—
1168C2×D7—22no—
1169C2×D7—22no—
1170C2×D7—22no—
1171C2×D7—22no—
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—41no—
1192C4×C7—41no—
1193C4×C7—41no—
1194C4×C7—41no—
1195C4×C7—41no—
1196C4×C7—41no—
1197C4×C7—41no—
1198C4×C7—41no—
1199Dic7—22no—
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—142no—
1216C24—142no—
1217C24—142no—
1218C24—281no—
1219C24—281no—
1220C24—281no—
1221C24—281no—
1222C24C23×D711yescharacteristic
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—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—74no—
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—142no—
1261C2×D4—142no—
1262C2×D4—142no—
1263C2×D4—142no—
1264C2×D4—142no—
1265C2×D4—142no—
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—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
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—71no—
1303C22×C4—71no—
1304C22×C4—71no—
1305C22×C4—71no—
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—142no—
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×C4—281no—
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—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—142no—
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—142no—
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—41no—
1372C22⋊C4—41no—
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—142no—
1402C22⋊C4—142no—
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—142no—
1422C42—142no—
1423C42—142no—
1424C42—281no—
1425C42—281no—
1426C42—281no—
1427C42—281no—
1428C42—281no—
1429C42—281no—
1430C42—281no—
1431C42—281no—
1432C42—281no—
1433C2×C7—42no—
1434C2×C7—42no—
1435C2×C7—81no—
1436C2×C7—81no—
1437C2×C7#348111yescharacteristic
1438C2×C7#348111yescharacteristic
1439C2×C7#348111yescharacteristic
1440C2×C7#349011yescharacteristic
1441C2×C7#350811yescharacteristic
1442C2×C7#350811yescharacteristic
1443C2×C7#353711yescharacteristic
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—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—72no—
1474C23—72no—
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—284no—
1495C23—284no—
1496C23—284no—
1497C23—562no—
1498C23—562no—
1499C23—562no—
1500C23—562no—
1501C23D7×#4112yes—
1502C23D7×#4112yes—
1503C23C24×D711yescharacteristic
1504Q8—284no—
1505D4—44no—
1506D4—44no—
1507D4—44no—
1508D4—82no—
1509D4—82no—
1510D4—82no—
1511D4—284no—
1512D4—284no—
1513D4—284no—
1514D4—284no—
1515D4—284no—
1516D4—284no—
1517D4—284no—
1518D4—284no—
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—44no—
1554C2×C4—72no—
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—141no—
1595C2×C4—141no—
1596C2×C4—284no—
1597C2×C4—284no—
1598C2×C4—284no—
1599C2×C4—562no—
1600C2×C4—562no—
1601C2×C4—562no—
1602C2×C4—562no—
1603C2×C4—562no—
1604C2×C4#654812yes—
1605C2×C4#654812yes—
1606C2×C4D7×#4112yes—
1607C7#6003411yescharacteristic, complemented, Sylow
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
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—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—142no—
1637C22—142no—
1638C22—142no—
1639C22—142no—
1640C22—142no—
1641C22—142no—
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×#654811yescharacteristic
1660C22C2×D7×#4111yescharacteristic
1661C22C2×D7×#4111yescharacteristic
1662C22C2×D7×#4111yescharacteristic
1663C22D7×H(5,𝔽2)11yescharacteristic
1664C22D7×H(5,𝔽2)11yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—142no—
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—42no—
1691C2—81no—
1692C2—81no—
1693C2—282no—
1694C2—282no—
1695C2—561no—
1696C2#1174310611yescharacteristic
1697C2#1174310611yescharacteristic
1698C2#1174348211yescharacteristic
1699C2#1174368211yescharacteristic
1700C2#1174370111yescharacteristic
1701C2#1174383911yescharacteristic
1702C2#1174394411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2456C2
hypercenter#2456D7
hypocenterC7#60034
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C7×#2456C2semidirect
2. #11740347C2semidirect
3. #11740298C2semidirect
4. #11740153C2semidirect
5. #11740104C2semidirect
6. #11739843C2semidirect
7. #11739788C2semidirect
8. C4×#6502C2semidirect
9. C4×#6502C2semidirect
10. #11734822C2semidirect
11. #11734745C2semidirect
12. #11734209C2semidirect
13. #11734199C2semidirect
14. #11734167C2semidirect
15. #11734166C2semidirect
16. #11734130C2semidirect
17. #11734117C2semidirect
18. #11733899C2semidirect
19. #11733753C2semidirect
20. #11733329C2semidirect
21. #11733091C2semidirect
22. #11733003C2semidirect
23. #11732932C2semidirect
24. #11732552C2semidirect
25. #11732478C2semidirect
26. #11732344C2semidirect
27. #11732325C2semidirect
28. #11732203C2semidirect
29. #11732103C2semidirect
30. #11732041C2semidirect
31. #11731937C2semidirect
33. C2×C7×#123C22semidirect
36. C2×C4×C7×D4C22semidirect
40. C2×#6502C22semidirect
50. C2×C4×C22⋊D7C22semidirect
52. C22×C4×Dic7C22semidirect
55. C2×#6448C22semidirect
58. C2×#6446C22semidirect
62. C2×#6440C22semidirect
63. C7×#396C22semidirect
66. C7×#392C22semidirect
68. C7×#388C22semidirect
69. C7×#388C22semidirect
70. C7×#387C22semidirect
72. C7×#386C22semidirect
79. #89995C22semidirect
80. #89994C22semidirect
82. #89993C22semidirect
86. #89992C22semidirect
87. #89992C22semidirect
89. #89985C22semidirect
92. C4×C22⋊Dic7C22semidirect
98. #89762C22semidirect
99. #89762C22semidirect
103. #89755C22semidirect
104. #89752C22semidirect
105. #89750C22semidirect
106. #89750C22semidirect
107. #89750C22semidirect
108. C4⋊C4×Dic7C22semidirect
109. #89744C22semidirect
110. #89744C22semidirect
115. #89731C22semidirect
120. #89730C22semidirect
128. #89729C22semidirect
134. #89728C22semidirect
135. #89724C22semidirect
136. #89724C22semidirect
138. #89720C22semidirect
143. #89717C22semidirect
144. #89717C22semidirect
145. #89717C22semidirect
146. #89717C22semidirect
147. #89716C22semidirect
148. #89714C22semidirect
149. #89714C22semidirect
152. C22⋊C4×Dic7C22semidirect
153. C22⋊C4×Dic7C22semidirect
154. C22⋊C4×Dic7C22semidirect
159. C4×(C2×D7)⋊C4C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. C4×Dic7⋊C4C22semidirect
163. #89447C22semidirect
164. #89447C22semidirect
169. #89441C22semidirect
178. #89431C22semidirect
179. #89430C22semidirect
180. #89427C22semidirect
181. #89425C22semidirect
182. #89424C22semidirect
183. #89424C22semidirect
184. #89418C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
395. #2456D7semidirect
575. C22⋊Dic7#41semidirect
599. (C2×D7)⋊C4#41semidirect
636. C2×#123C2×D7semidirect
653. C2×C4×D4C2×D7semidirect
672. #396C2×D7semidirect
690. #392C2×D7semidirect
725. #388C2×D7semidirect
726. #388C2×D7semidirect
734. #387C2×D7semidirect
756. #386C2×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×#24562
#117403472
#117402982
#117401532
#117401042
#117398432
#117397882
C4×#65022
#117348222
#117347452
#117342092
#117341992
#117341672
#117341662
#117341302
#117341172
#117338992
#117337532
#117333292
#117330912
#117330032
#117329322
#117325522
#117324782
#117323442
#117323252
#117322032
#117321032
#117320412
#117319372
#600347