Finite Group Databasebeta

← #14216893

Subgroups — #14216893

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×#2374C211yesmaximal, characteristic, complemented
2#11740354C211yesmaximal, characteristic, complemented
3#11740346C211yesmaximal, characteristic, complemented
4#11733899C211yesmaximal, characteristic, complemented
5#11733891C211yesmaximal, characteristic, complemented
6#11733357C211yesmaximal, characteristic, complemented
7#11733343C211yesmaximal, characteristic, complemented
8#11733281C211yesmaximal, characteristic, complemented
9#11733128C211yesmaximal, characteristic, complemented
10#11733091C211yesmaximal, characteristic, complemented
11#11733062C211yesmaximal, characteristic, complemented
12#11732949C211yesmaximal, characteristic, complemented
13#11732897C211yesmaximal, characteristic, complemented
14#11732867C211yesmaximal, characteristic, complemented
15#11732803C211yesmaximal, characteristic, complemented
16#11732791C211yesmaximal, characteristic, complemented
17#11732452C211yesmaximal, characteristic, complemented
18#11732331C211yesmaximal, characteristic, complemented
19#11732164C211yesmaximal, characteristic, complemented
20#11731257C211yesmaximal, characteristic, complemented
21#11731240C211yesmaximal, characteristic, complemented
22C4×#6458C211yesmaximal, characteristic, complemented
23#11731098C211yesmaximal, characteristic, complemented
24#11731046C211yesmaximal, characteristic, complemented
25#11731036C211yesmaximal, characteristic, complemented
26#11731031C211yesmaximal, characteristic, complemented
27#11731022C211yesmaximal, characteristic, complemented
28#11731022C211yesmaximal, characteristic, complemented
29#11731008C211yesmaximal, characteristic, complemented
30#11730945C211yesmaximal, characteristic, complemented
31#11730924C211yesmaximal, characteristic, complemented
32C22×#1157C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×#6502C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×#6493C2211yescharacteristic, complemented
37C2×#6492C2211yescharacteristic
38C22×(C2×D7)⋊C4C2211yescharacteristic
39C2×#6458C2211yescharacteristic
40C2×#6457C2211yescharacteristic
41C2×#6456C2211yescharacteristic
42C2×#6456C2211yescharacteristic, complemented
43C2×#6447C2211yescharacteristic
44C2×#6447C2211yescharacteristic
45C2×#6446C2211yescharacteristic
46C2×#6446C2211yescharacteristic, complemented
47C2×#6446C2211yescharacteristic, complemented
48C2×#6445C2211yescharacteristic
49C2×#6445C2211yescharacteristic
50C2×#6445C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×#6438C2211yescharacteristic, complemented
56C2×#6437C2211yescharacteristic
57C2×C4×D28C2211yescharacteristic
58C2×C4×D28C2211yescharacteristic
59C2×C4×D28C2211yescharacteristic
60C2×C4×D28C2211yescharacteristic, complemented
61C2×#6435C2211yescharacteristic, complemented
62C2×C42×D7C2211yescharacteristic, complemented
63C7×#390C2211yescharacteristic
64C7×#388C2211yescharacteristic
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic, complemented
67C7×#388C2211yescharacteristic, complemented
68C7×#387C2211yescharacteristic, complemented
69C7×#387C2211yescharacteristic, complemented
70C7×#386C2211yescharacteristic
71C4×C7×C4⋊C4C2211yescharacteristic, complemented
72C4×C7×C4⋊C4C2211yescharacteristic, complemented
73C4×C7×C22⋊C4C2211yescharacteristic
74C4×C7×C22⋊C4C2211yescharacteristic
75C4×C7×C22⋊C4C2211yescharacteristic, complemented
76C4×C7×C22⋊C4C2211yescharacteristic, complemented
77#89995C2211yescharacteristic
78#89995C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic
81#89985C2211yescharacteristic
82C4×C22⋊Dic7C2211yescharacteristic, complemented
83#89766C2211yescharacteristic, complemented
84#89765C2211yescharacteristic, complemented
85#89764C2211yescharacteristic
86#89764C2211yescharacteristic
87#89764C2211yescharacteristic
88#89763C2211yescharacteristic
89#89762C2211yescharacteristic, complemented
90#89761C2211yescharacteristic
91#89760C2211yescharacteristic
92#89760C2211yescharacteristic
93#89760C2211yescharacteristic, complemented
94#89759C2211yescharacteristic, complemented
95#89758C2211yescharacteristic, complemented
96#89757C2211yescharacteristic, complemented
97#89754C2211yescharacteristic, complemented
98#89744C2211yescharacteristic, complemented
99#89733C2211yescharacteristic, complemented
100#89732C2211yescharacteristic
101#89732C2211yescharacteristic
102#89732C2211yescharacteristic
103#89732C2211yescharacteristic
104#89732C2211yescharacteristic
105#89732C2211yescharacteristic
106#89732C2211yescharacteristic, complemented
107#89732C2211yescharacteristic, complemented
108#89731C2211yescharacteristic, complemented
109#89729C2211yescharacteristic
110#89729C2211yescharacteristic
111#89729C2211yescharacteristic
112#89729C2211yescharacteristic
113#89729C2211yescharacteristic
114#89728C2211yescharacteristic
115#89728C2211yescharacteristic
116#89728C2211yescharacteristic
117#89728C2211yescharacteristic, complemented
118#89728C2211yescharacteristic, complemented
119#89723C2211yescharacteristic
120#89723C2211yescharacteristic, complemented
121#89722C2211yescharacteristic
122#89722C2211yescharacteristic
123#89721C2211yescharacteristic
124#89719C2211yescharacteristic
125#89717C2211yescharacteristic, complemented
126C22⋊C4×Dic7C2211yescharacteristic
127#89712C2211yescharacteristic
128#89712C2211yescharacteristic
129#89712C2211yescharacteristic
130#89712C2211yescharacteristic, complemented
131#89712C2211yescharacteristic, complemented
132#89712C2211yescharacteristic, complemented
133#89711C2211yescharacteristic
134#89711C2211yescharacteristic
135#89711C2211yescharacteristic
136#89711C2211yescharacteristic, complemented
137C4×(C2×D7)⋊C4C2211yescharacteristic
138C4×(C2×D7)⋊C4C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic
140C4×(C2×D7)⋊C4C2211yescharacteristic
141C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
142C4×C4⋊Dic7C2211yescharacteristic, complemented
143#89705C2211yescharacteristic, complemented
144#89705C2211yescharacteristic, complemented
145#89705C2211yescharacteristic, complemented
146#89701C2211yescharacteristic, complemented
147#89448C2211yescharacteristic, complemented
148#89447C2211yescharacteristic, complemented
149#89447C2211yescharacteristic, complemented
150#89447C2211yescharacteristic, complemented
151#89445C2211yescharacteristic
152#89444C2211yescharacteristic
153#89443C2211yescharacteristic
154#89443C2211yescharacteristic
155#89442C2211yescharacteristic
156#89442C2211yescharacteristic
157#89442C2211yescharacteristic, complemented
158#89441C2211yescharacteristic, complemented
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic
162#89439C2211yescharacteristic, complemented
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic, complemented
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89436C2211yescharacteristic
179#89433C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89426C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#60034—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C2×#1157—24no—
202C2×#1157—42no—
203C2×#1157—42no—
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
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—24no—
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊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×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C42×C7C2311yescharacteristic
243C2×C42×C7C2311yescharacteristic
244C2×C42×C7C2311yescharacteristic
245C2×C42×C7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252#6502—42no—
253#6500—42no—
254#6493—42no—
255#6492—42no—
256C2×(C2×D7)⋊C4—42no—
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(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×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318#6458—24no—
319#6457—42no—
320#6456—42no—
321#6456—42no—
322#6447—24no—
323#6447—42no—
324#6446—24no—
325#6446—42no—
326#6446—42no—
327#6445—24no—
328#6445—24no—
329#6445—24no—
330(C22⋊D7)⋊C4—42no—
331(C22⋊D7)⋊C4—42no—
332D7×C22⋊C4—42no—
333D7×C22⋊C4—42no—
334#6438—42no—
335#6437—24no—
336C4×D28—42no—
337C4×D28—42no—
338C4×D28—42no—
339C4×D28—42no—
340#6435—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#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#2456—71no—
396#2431—71no—
397#2404—71no—
398#2374—71no—
399#2374D711yescharacteristic, complemented
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
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—41no—
423C2×C7×D4—41no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
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—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C22×Dic7—22no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481#1157—416no—
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—22no—
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—22no—
491C2×D28—22no—
492C2×D28—22no—
493C2×D28—22no—
494C2×D28—22no—
495C2×D28—22no—
496C2×D28—41no—
497C2×D28—41no—
498C2×D28—41no—
499C2×D28—41no—
500C2×D28—41no—
501C2×D28—41no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×D28—41no—
506C2×D28—41no—
507C2×D28—41no—
508C2×D28#4114yes—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
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—41no—
523C2×C4×D7—41no—
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×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—22no—
551C7×C22⋊C4—22no—
552C7×C22⋊C4—41no—
553C7×C22⋊C4#4114yescomplemented
554C42×C7—22no—
555C42×C7—22no—
556C42×C7—41no—
557C42×C7—41no—
558C42×C7—41no—
559C42×C7—41no—
560C42×C7—41no—
561C22⋊Dic7—22no—
562C22⋊Dic7—22no—
563C22⋊Dic7—22no—
564C22⋊Dic7—41no—
565C22⋊Dic7—41no—
566C22⋊Dic7—41no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
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—41no—
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—41no—
601(C2×D7)⋊C4—41no—
602(C2×D7)⋊C4—41no—
603(C2×D7)⋊C4—41no—
604(C2×D7)⋊C4#4114yescomplemented
605C4⋊Dic7—22no—
606C4⋊Dic7—22no—
607C4⋊Dic7—22no—
608C4⋊Dic7—41no—
609C4⋊Dic7—41no—
610C4⋊Dic7—41no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—22no—
616Dic7⋊C4—41no—
617Dic7⋊C4—41no—
618Dic7⋊C4—41no—
619Dic7⋊C4—41no—
620Dic7⋊C4—41no—
621C4×Dic7—22no—
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
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×D4—71no—
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#396—71no—
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#392—71no—
689#392—71no—
690#392—71no—
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#388C2×D711yescharacteristic
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#387C2×D711yescharacteristic, complemented
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#385—71no—
763#381—71no—
764#380—71no—
765#380—71no—
766C4×C4⋊C4—71no—
767C4×C4⋊C4—71no—
768C4×C4⋊C4C2×D711yescharacteristic, complemented
769C4×C4⋊C4C2×D711yescharacteristic, complemented
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⋊C4C2×D711yescharacteristic
780C4×C22⋊C4C2×D711yescharacteristic
781C4×C22⋊C4C2×D711yescharacteristic, complemented
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×C7C2×#4112yes—
797C23×C7C2511yescharacteristic
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
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—82no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
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—44no—
875C2×C4×C7—82no—
876C2×C4×C7C2×#4112yes—
877C2×C4×C7C2×#4112yes—
878C2×C4×C7C2×#4112yes—
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—82no—
887C22⋊D7—82no—
888C22⋊D7—82no—
889C22⋊D7—82no—
890C2×Dic7—21no—
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—82no—
921C2×Dic7C2×#4112yes—
922C2×Dic7H(5,𝔽2)12yes—
923C2×Dic7H(5,𝔽2)12yes—
924D28—44no—
925D28—44no—
926D28—44no—
927D28—44no—
928D28—44no—
929D28—44no—
930D28—44no—
931D28—82no—
932D28—82no—
933C4×D7—28no—
934C4×D7—44no—
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×D4—71no—
964C22×D4—71no—
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—24no—
981#123—144no—
982#123—282no—
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—282no—
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⋊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—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—282no—
1070C2×C22⋊C4—282no—
1071C2×C22⋊C4—282no—
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—282no—
1090C2×C42C22×D711yescharacteristic
1091C2×C42C22×D711yescharacteristic
1092C2×C42C22×D711yescharacteristic
1093C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1122#95C22×D711yescharacteristic
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×C7C22×#4111yescharacteristic
1146C22×C7C22×#4111yescharacteristic
1147C22×C7C22×#4111yescharacteristic
1148C22×C7C2×H(5,𝔽2)11yescharacteristic
1149C22×C7C2×H(5,𝔽2)11yescharacteristic
1150C22×C7C2×H(5,𝔽2)11yescharacteristic
1151C22×C7C2×H(5,𝔽2)11yescharacteristic
1152C2×D7—22no—
1153C2×D7—22no—
1154C2×D7—22no—
1155C2×D7—22no—
1156C2×D7—22no—
1157C2×D7—22no—
1158C2×D7—22no—
1159C2×D7—22no—
1160C2×D7—22no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
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—22no—
1193C4×C7—22no—
1194C4×C7—41no—
1195C4×C7—41no—
1196C4×C7—41no—
1197C4×C7—41no—
1198C4×C7—41no—
1199C4×C7—41no—
1200C4×C7—41no—
1201Dic7—22no—
1202Dic7—22no—
1203Dic7—22no—
1204Dic7—41no—
1205Dic7—41no—
1206Dic7—41no—
1207Dic7—41no—
1208Dic7—41no—
1209Dic7—41no—
1210Dic7—41no—
1211Dic7—41no—
1212C24—71no—
1213C24—71no—
1214C24—71no—
1215C24—71no—
1216C24—71no—
1217C24—142no—
1218C24—142no—
1219C24—142no—
1220C24—281no—
1221C24—281no—
1222C24—281no—
1223C24—281no—
1224C24C23×D711yescharacteristic
1225C24C23×D711yescharacteristic
1226#41—2816no—
1227C2×Q8—142no—
1228C2×Q8—142no—
1229C2×Q8—281no—
1230C2×D4—22no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—74no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
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—281no—
1258C2×D4—281no—
1259C2×D4—281no—
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—22no—
1286C22×C4—22no—
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—142no—
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—281no—
1316C22×C4—281no—
1317C22×C4—281no—
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×C4C23×D711yescharacteristic
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—142no—
1350C4⋊C4—142no—
1351C4⋊C4—142no—
1352C4⋊C4—142no—
1353C4⋊C4—142no—
1354C4⋊C4—142no—
1355C4⋊C4—142no—
1356C4⋊C4—142no—
1357C4⋊C4—281no—
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—74no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
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—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C22⋊C4—281no—
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#115714yescomplemented
1419C42—22no—
1420C42—22no—
1421C42—41no—
1422C42—41no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C42—142no—
1427C42—281no—
1428C42—281no—
1429C42—281no—
1430C42—281no—
1431C42—281no—
1432C42—281no—
1433C2×C7—42no—
1434C2×C7—81no—
1435C2×C7#348111yescharacteristic
1436C2×C7#348111yescharacteristic
1437C2×C7#348111yescharacteristic
1438C2×C7#349011yescharacteristic
1439C2×C7#350811yescharacteristic
1440C2×C7#350811yescharacteristic
1441C2×C7#353711yescharacteristic
1442D7—42no—
1443D7—42no—
1444D7—42no—
1445D7—81no—
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—72no—
1461C23—72no—
1462C23—72no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
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—
1502C23C2×#115712yes—
1503C23C24×D711yescharacteristic
1504Q8—284no—
1505D4—82no—
1506D4—284no—
1507D4—284no—
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—21no—
1556C2×C4—44no—
1557C2×C4—72no—
1558C2×C4—72no—
1559C2×C4—72no—
1560C2×C4—82no—
1561C2×C4—148no—
1562C2×C4—141no—
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—284no—
1593C2×C4—284no—
1594C2×C4—284no—
1595C2×C4—562no—
1596C2×C4—562no—
1597C2×C4—562no—
1598C2×C4—562no—
1599C2×C4—562no—
1600C2×C4—562no—
1601C2×C4C2×#115712yes—
1602C2×C4C2×#115712yes—
1603C2×C4D7×#4112yes—
1604C2×C4D7×#4112yes—
1605C2×C4#655312yes—
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—142no—
1623C22—142no—
1624C22—142no—
1625C22—142no—
1626C22—142no—
1627C22—142no—
1628C22—142no—
1629C22—142no—
1630C22—142no—
1631C22—281no—
1632C22—281no—
1633C22—281no—
1634C22—281no—
1635C22—281no—
1636C22—281no—
1637C22—281no—
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—
1658C22C22×#115711yescharacteristic
1659C22C2×D7×#4111yescharacteristic
1660C22C2×D7×#4111yescharacteristic
1661C22C2×#655311yescharacteristic
1662C22C2×#655311yescharacteristic
1663C22D7×H(5,𝔽2)11yescharacteristic
1664C22D7×H(5,𝔽2)11yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—142no—
1679C4—142no—
1680C4—142no—
1681C4—281no—
1682C4—281no—
1683C4—281no—
1684C4—281no—
1685C4—281no—
1686C4—281no—
1687C4—281no—
1688C4—281no—
1689C2—42no—
1690C2—81no—
1691C2—282no—
1692C2—282no—
1693C2—282no—
1694C2—561no—
1695C2—561no—
1696C2#1174291111yescharacteristic
1697C2#1174291111yescharacteristic
1698C2#1174293011yescharacteristic
1699C2#1174388311yescharacteristic
1700C2#1174394411yescharacteristic
1701C2#1174398411yescharacteristic
1702C2#1174411911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2374C2
hypercenter#2374D7
hypocenterC7#60034
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
1. C7×#2374C2semidirect
2. #11740354C2semidirect
3. #11740346C2semidirect
4. #11733899C2semidirect
5. #11733891C2semidirect
6. #11733357C2semidirect
7. #11733343C2semidirect
8. #11733281C2semidirect
9. #11733128C2semidirect
10. #11733091C2semidirect
11. #11733062C2semidirect
12. #11732949C2semidirect
13. #11732897C2semidirect
14. #11732867C2semidirect
15. #11732803C2semidirect
16. #11732791C2semidirect
17. #11732452C2semidirect
18. #11732331C2semidirect
19. #11732164C2semidirect
20. #11731257C2semidirect
21. #11731240C2semidirect
22. C4×#6458C2semidirect
23. #11731098C2semidirect
24. #11731046C2semidirect
25. #11731036C2semidirect
26. #11731031C2semidirect
27. #11731022C2semidirect
28. #11731022C2semidirect
29. #11731008C2semidirect
30. #11730945C2semidirect
31. #11730924C2semidirect
36. C2×#6493C22semidirect
42. C2×#6456C22semidirect
46. C2×#6446C22semidirect
47. C2×#6446C22semidirect
55. C2×#6438C22semidirect
60. C2×C4×D28C22semidirect
61. C2×#6435C22semidirect
62. C2×C42×D7C22semidirect
66. C7×#388C22semidirect
67. C7×#388C22semidirect
68. C7×#387C22semidirect
69. C7×#387C22semidirect
71. C4×C7×C4⋊C4C22semidirect
72. C4×C7×C4⋊C4C22semidirect
75. C4×C7×C22⋊C4C22semidirect
76. C4×C7×C22⋊C4C22semidirect
82. C4×C22⋊Dic7C22semidirect
83. #89766C22semidirect
84. #89765C22semidirect
89. #89762C22semidirect
93. #89760C22semidirect
94. #89759C22semidirect
95. #89758C22semidirect
96. #89757C22semidirect
97. #89754C22semidirect
98. #89744C22semidirect
99. #89733C22semidirect
106. #89732C22semidirect
107. #89732C22semidirect
108. #89731C22semidirect
117. #89728C22semidirect
118. #89728C22semidirect
120. #89723C22semidirect
125. #89717C22semidirect
130. #89712C22semidirect
131. #89712C22semidirect
132. #89712C22semidirect
136. #89711C22semidirect
141. C4×(C2×D7)⋊C4C22semidirect
142. C4×C4⋊Dic7C22semidirect
143. #89705C22semidirect
144. #89705C22semidirect
145. #89705C22semidirect
146. #89701C22semidirect
147. #89448C22semidirect
148. #89447C22semidirect
149. #89447C22semidirect
150. #89447C22semidirect
157. #89442C22semidirect
158. #89441C22semidirect
162. #89439C22semidirect
164. #89438C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
179. #89433C22semidirect
180. #89429C22semidirect
181. #89427C22semidirect
182. #89426C22semidirect
183. #89426C22semidirect
184. #89421C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
399. #2374D7semidirect
553. C7×C22⋊C4#41semidirect
604. (C2×D7)⋊C4#41semidirect
725. #388C2×D7semidirect
726. #388C2×D7semidirect
733. #387C2×D7semidirect
734. #387C2×D7semidirect
768. C4×C4⋊C4C2×D7semidirect
769. C4×C4⋊C4C2×D7semidirect
781. C4×C22⋊C4C2×D7semidirect
782. C4×C22⋊C4C2×D7semidirect
1418. C22⋊C4#1157semidirect
1607. C7#60034semidirect

Maximal subgroups

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

subgroupindex
C7×#23742
#117403542
#117403462
#117338992
#117338912
#117333572
#117333432
#117332812
#117331282
#117330912
#117330622
#117329492
#117328972
#117328672
#117328032
#117327912
#117324522
#117323312
#117321642
#117312572
#117312402
C4×#64582
#117310982
#117310462
#117310362
#117310312
#117310222
#117310082
#117309452
#117309242
#600347