Finite Group Databasebeta

← #13561686

Subgroups — #13561686

Order 1792.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2443C211yesmaximal, characteristic, complemented
2#11740351C211yesmaximal, characteristic, complemented
3#11740324C211yesmaximal, characteristic, complemented
4#11740151C211yesmaximal, characteristic, complemented
5#11740145C211yesmaximal, characteristic, complemented
6#11739852C211yesmaximal, characteristic, complemented
7#11739772C211yesmaximal, characteristic, complemented
8#11739640C211yesmaximal, characteristic, complemented
9C2×#89762C211yesmaximal, characteristic, complemented
10#11735523C211yesmaximal, characteristic, complemented
11#11735512C211yesmaximal, characteristic, complemented
12#11735424C211yesmaximal, characteristic, complemented
13#11735359C211yesmaximal, characteristic, complemented
14#11735170C211yesmaximal, characteristic, complemented
15#11735049C211yesmaximal, characteristic, complemented
16#11734578C211yesmaximal, characteristic, complemented
17#11734526C211yesmaximal, characteristic, complemented
18#11733390C211yesmaximal, characteristic, complemented
19#11733180C211yesmaximal, characteristic, complemented
20#11732723C211yesmaximal, characteristic, complemented
21#11732704C211yesmaximal, characteristic, complemented
22#11732350C211yesmaximal, characteristic, complemented
23#11732350C211yesmaximal, characteristic, complemented
24#11732338C211yesmaximal, characteristic, complemented
25#11732152C211yesmaximal, characteristic, complemented
26#11732151C211yesmaximal, characteristic, complemented
27#11732111C211yesmaximal, characteristic, complemented
28#11732050C211yesmaximal, characteristic, complemented
29#11732031C211yesmaximal, characteristic, complemented
30#11732025C211yesmaximal, characteristic, complemented
31#11731973C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic, complemented
33C2×C7×#121C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C22×C7×C4⋊C4C2211yescharacteristic
36C2×#6503C2211yescharacteristic, complemented
37C2×#6502C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6500C2211yescharacteristic
43C2×#6500C2211yescharacteristic
44C2×D4×Dic7C2211yescharacteristic
45C2×#6493C2211yescharacteristic
46C2×#6493C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C22×(C2×D7)⋊C4C2211yescharacteristic
49C22×(C2×D7)⋊C4C2211yescharacteristic
50C22×(C2×D7)⋊C4C2211yescharacteristic
51C22×C4×Dic7C2211yescharacteristic
52C2×#6458C2211yescharacteristic
53C2×#6457C2211yescharacteristic, complemented
54C2×#6452C2211yescharacteristic, complemented
55C2×#6447C2211yescharacteristic
56C2×#6445C2211yescharacteristic
57C2×#6445C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C7×#399C2211yescharacteristic, complemented
60C7×#398C2211yescharacteristic, complemented
61C7×#397C2211yescharacteristic, complemented
62C7×#394C2211yescharacteristic, complemented
63C7×#388C2211yescharacteristic, complemented
64C7×#387C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic
66C7×#386C2211yescharacteristic
67C7×#386C2211yescharacteristic
68C7×#385C2211yescharacteristic
69C7×#385C2211yescharacteristic, complemented
70#89995C2211yescharacteristic
71#89993C2211yescharacteristic, complemented
72#89992C2211yescharacteristic
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89985C2211yescharacteristic
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic, complemented
78#89982C2211yescharacteristic
79#89982C2211yescharacteristic, complemented
80C2×C7⋊#95C2211yescharacteristic
81C2×C7⋊#95C2211yescharacteristic
82#89766C2211yescharacteristic
83#89766C2211yescharacteristic
84#89766C2211yescharacteristic
85#89765C2211yescharacteristic, complemented
86#89764C2211yescharacteristic, complemented
87#89763C2211yescharacteristic
88#89763C2211yescharacteristic
89#89763C2211yescharacteristic, complemented
90#89762C2211yescharacteristic
91#89762C2211yescharacteristic
92#89762C2211yescharacteristic
93#89762C2211yescharacteristic
94#89762C2211yescharacteristic
95#89762C2211yescharacteristic
96#89762C2211yescharacteristic
97#89762C2211yescharacteristic
98#89762C2211yescharacteristic
99#89762C2211yescharacteristic, complemented
100#89761C2211yescharacteristic, complemented
101#89761C2211yescharacteristic, complemented
102#89760C2211yescharacteristic
103#89760C2211yescharacteristic, complemented
104#89756C2211yescharacteristic, complemented
105#89753C2211yescharacteristic, complemented
106#89753C2211yescharacteristic, complemented
107#89750C2211yescharacteristic, complemented
108#89750C2211yescharacteristic, complemented
109#89748C2211yescharacteristic, complemented
110#89744C2211yescharacteristic, complemented
111#89733C2211yescharacteristic
112#89733C2211yescharacteristic
113#89733C2211yescharacteristic, complemented
114#89732C2211yescharacteristic
115#89732C2211yescharacteristic
116#89732C2211yescharacteristic
117#89732C2211yescharacteristic
118#89732C2211yescharacteristic
119#89732C2211yescharacteristic
120#89731C2211yescharacteristic
121#89731C2211yescharacteristic
122#89731C2211yescharacteristic
123#89731C2211yescharacteristic
124#89731C2211yescharacteristic
125#89731C2211yescharacteristic
126#89731C2211yescharacteristic, complemented
127#89730C2211yescharacteristic
128#89730C2211yescharacteristic
129#89730C2211yescharacteristic, complemented
130#89730C2211yescharacteristic, complemented
131#89729C2211yescharacteristic
132#89729C2211yescharacteristic
133#89729C2211yescharacteristic, complemented
134#89729C2211yescharacteristic, complemented
135#89729C2211yescharacteristic, complemented
136#89729C2211yescharacteristic, complemented
137#89728C2211yescharacteristic, complemented
138#89728C2211yescharacteristic, complemented
139#89728C2211yescharacteristic, complemented
140#89725C2211yescharacteristic, complemented
141#89724C2211yescharacteristic, complemented
142#89722C2211yescharacteristic
143#89718C2211yescharacteristic
144#89718C2211yescharacteristic, complemented
145#89717C2211yescharacteristic, complemented
146#89717C2211yescharacteristic, complemented
147#89716C2211yescharacteristic, complemented
148#89715C2211yescharacteristic, complemented
149#89714C2211yescharacteristic
150#89714C2211yescharacteristic
151#89712C2211yescharacteristic
152#89712C2211yescharacteristic, complemented
153#89711C2211yescharacteristic
154#89705C2211yescharacteristic, complemented
155#89448C2211yescharacteristic
156#89447C2211yescharacteristic
157#89447C2211yescharacteristic
158#89447C2211yescharacteristic
159#89447C2211yescharacteristic
160#89447C2211yescharacteristic, complemented
161#89446C2211yescharacteristic, complemented
162#89444C2211yescharacteristic
163#89444C2211yescharacteristic
164#89444C2211yescharacteristic
165#89444C2211yescharacteristic
166#89444C2211yescharacteristic
167#89444C2211yescharacteristic
168#89443C2211yescharacteristic
169#89442C2211yescharacteristic
170#89442C2211yescharacteristic, complemented
171#89441C2211yescharacteristic
172#89441C2211yescharacteristic, complemented
173#89440C2211yescharacteristic, complemented
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89436C2211yescharacteristic, complemented
177#89431C2211yescharacteristic, complemented
178#89430C2211yescharacteristic, complemented
179#89427C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#36759—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C7×#123—42no—
218C7×#121—42no—
219C4×C7×D4—42no—
220C2×C7×C4⋊C4—42no—
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×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×C7×C22⋊C4C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250#6503—42no—
251#6502—24no—
252#6502—24no—
253#6502—42no—
254#6502—42no—
255#6502—42no—
256#6500—42no—
257#6500—42no—
258D4×Dic7—42no—
259#6493—42no—
260#6493—42no—
261C4×C22⋊D7—42no—
262C2×(C2×D7)⋊C4—24no—
263C2×(C2×D7)⋊C4—42no—
264C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
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
327#6458—42no—
328#6457—42no—
329#6452—42no—
330#6447—42no—
331#6445—42no—
332#6445—42no—
333(C22⋊D7)⋊C4—42no—
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2856—71no—
371#2851—71no—
372#2803—71no—
373#2803—71no—
374#2797—71no—
375#2797—71no—
376#2793—71no—
377#2793—71no—
378#2753—71no—
379#2753—71no—
380#2752—71no—
381#2752—71no—
382#2711—71no—
383#2711—71no—
384#2701—71no—
385#2701—71no—
386#2673—71no—
387#2673—71no—
388#2617—71no—
389#2617—71no—
390#2444—71no—
391#2444—71no—
392#2443—71no—
393#2443D711yescharacteristic, complemented
394#2424—71no—
395#2424—71no—
396#2424—71no—
397#2424—71no—
398#2325—71no—
399#2325—71no—
400C2×#388—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C24×C7C2411yescharacteristic
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C23×D7C2411yescharacteristic
415C2×C7×D4—22no—
416C2×C7×D4—22no—
417C2×C7×D4—22no—
418C2×C7×D4—22no—
419C2×C7×D4—22no—
420C2×C7×D4—22no—
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—22no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
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—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—
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—41no—
478C22×Dic7—22no—
479C22×Dic7—22no—
480C22×Dic7—22no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7—41no—
485C22×Dic7—41no—
486C22×Dic7—41no—
487C22×Dic7—41no—
488C22×Dic7—41no—
489C22×Dic7#4114yes—
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C2×D28—22no—
503C2×D28—41no—
504C2×D28—41no—
505C2×D28—41no—
506C2×D28—41no—
507C2×D28—41no—
508C2×D28—41no—
509C2×D28—41no—
510C2×D28—41no—
511C2×D28—41no—
512C2×D28—41no—
513C2×D28—41no—
514C2×D28—41no—
515C2×D28—41no—
516C2×D28—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—22no—
525C7×C4⋊C4—22no—
526C7×C4⋊C4—41no—
527C7×C4⋊C4—41no—
528C7×C4⋊C4—41no—
529C7×C4⋊C4—41no—
530C7×C4⋊C4—41no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C7×C22⋊C4—41no—
538C7×C22⋊C4—41no—
539C7×C22⋊C4—41no—
540C7×C22⋊C4—41no—
541C7×C22⋊C4—41no—
542C42×C7—41no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—41no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7—41no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588C4⋊Dic7—22no—
589C4⋊Dic7—41no—
590C4⋊Dic7—41no—
591C4⋊Dic7—41no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603Dic7⋊C4—41no—
604Dic7⋊C4—41no—
605Dic7⋊C4—41no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—41no—
609C4×Dic7—41no—
610C4×Dic7—41no—
611C4×Dic7—41no—
612C4×Dic7—41no—
613C2×#127—71no—
614C2×#125—71no—
615C2×#123—71no—
616C2×#123C2×D711yescharacteristic, complemented
617C2×#121—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#121—71no—
622C2×#121—71no—
623C2×#121—71no—
624C2×#121—71no—
625C2×#121—71no—
626C2×#121C2×D711yescharacteristic
627C2×#120—71no—
628C2×#120—71no—
629C2×#120—71no—
630C2×#120—71no—
631C2×C4×D4—71no—
632C2×C4×D4—71no—
633C2×C4×D4—71no—
634C2×C4×D4C2×D711yescharacteristic
635C22×C4⋊C4C2×D711yescharacteristic
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4—71no—
639C22×C42—71no—
640#400—71no—
641#400—71no—
642#399—71no—
643#399C2×D711yescharacteristic, complemented
644#398—71no—
645#398C2×D711yescharacteristic, complemented
646#397—71no—
647#397—71no—
648#397—71no—
649#397—71no—
650#397—71no—
651#397—71no—
652#397—71no—
653#397—71no—
654#397—71no—
655#397C2×D711yescharacteristic, complemented
656#396—71no—
657#396—71no—
658#396—71no—
659#396—71no—
660#394—71no—
661#394—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#394—71no—
670#394—71no—
671#394—71no—
672#394—71no—
673#394—71no—
674#394—71no—
675#394—71no—
676#394—71no—
677#394—71no—
678#394—71no—
679#394C2×D711yescharacteristic, complemented
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#390—71no—
689#390—71no—
690#390—71no—
691#390—71no—
692#390—71no—
693#390—71no—
694#390—71no—
695#390—71no—
696#390—71no—
697#390—71no—
698#389—71no—
699#389—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—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#388C2×D711yescharacteristic, complemented
720#387—71no—
721#387—71no—
722#387—71no—
723#387—71no—
724#387—71no—
725#387—71no—
726#387—71no—
727#387—71no—
728#387—71no—
729#387—71no—
730#387—71no—
731#387C2×D711yescharacteristic, complemented
732#386—71no—
733#386—71no—
734#386—71no—
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#386C2×D711yescharacteristic
748#386C2×D711yescharacteristic
749#386C2×D711yescharacteristic
750#385—71no—
751#385—71no—
752#385—71no—
753#385—71no—
754#385—71no—
755#385—71no—
756#385—71no—
757#385—71no—
758#385C2×D711yescharacteristic
759#385C2×D711yescharacteristic, complemented
760#384—71no—
761#382—71no—
762#381—71no—
763#381—71no—
764#380—71no—
765#380—71no—
766C2×#95—71no—
767C2×#95—71no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7C2×#4112yes—
787C23×C7H(5,𝔽2)12yes—
788C23×C7H(5,𝔽2)12yes—
789C23×C7C2511yescharacteristic
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—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—44no—
819C22×D7—44no—
820C22×D7—44no—
821C22×D7—82no—
822C22×D7—82no—
823C22×D7—82no—
824C22×D7—82no—
825C7×D4—44no—
826C7×D4—44no—
827C7×D4—82no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—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—44no—
864C2×C4×C7—44no—
865C2×C4×C7—82no—
866C2×C4×C7—82no—
867C2×C4×C7H(5,𝔽2)12yes—
868C22⋊D7—44no—
869C22⋊D7—44no—
870C22⋊D7—82no—
871C22⋊D7—82no—
872C22⋊D7—82no—
873C22⋊D7—82no—
874C22⋊D7—82no—
875C22⋊D7—82no—
876C22⋊D7—82no—
877C22⋊D7—82no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
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—44no—
912C2×Dic7—44no—
913C2×Dic7—82no—
914C2×Dic7—82no—
915C2×Dic7C2×#4112yes—
916C2×Dic7C2×#4112yes—
917C2×Dic7H(5,𝔽2)12yes—
918D28—82no—
919D28—82no—
920D28—82no—
921D28—82no—
922D28—82no—
923C4×D7—82no—
924C4×D7—82no—
925C25—71no—
926C22×D4—71no—
927C22×D4—71no—
928C22×D4—71no—
929C22×D4—71no—
930C22×D4—71no—
931C22×D4—71no—
932C22×D4—71no—
933C22×D4—71no—
934C22×D4—71no—
935C22×D4—71no—
936C22×D4—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4C22×D711yescharacteristic
942C22×D4C22×D711yescharacteristic
943C22×D4C22×D711yescharacteristic
944C23×C4—71no—
945C23×C4—71no—
946C23×C4—71no—
947C23×C4—71no—
948C23×C4—71no—
949C23×C4—71no—
950C23×C4C22×D711yescharacteristic
951C23×C4C22×D711yescharacteristic
952C23×C4C22×D711yescharacteristic
953C23×C4C22×D711yescharacteristic
954#127—282no—
955#125—282no—
956#123—42no—
957#123—282no—
958#121—42no—
959#121—144no—
960#121—144no—
961#121—282no—
962#121—282no—
963#121—282no—
964#121—282no—
965#121—282no—
966#121—282no—
967#121—282no—
968#120—282no—
969#120—282no—
970#120—282no—
971#120—282no—
972C4×D4—42no—
973C4×D4—282no—
974C4×D4—282no—
975C4×D4—282no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4C22×D711yescharacteristic
996C2×C4⋊C4C22×D711yescharacteristic
997C2×C4⋊C4C22×D711yescharacteristic
998C2×C4⋊C4C22×D711yescharacteristic
999C2×C4⋊C4C22×D711yescharacteristic
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—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—144no—
1049C2×C22⋊C4—282no—
1050C2×C22⋊C4—282no—
1051C2×C22⋊C4C22×D711yescharacteristic
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
1055C2×C22⋊C4C22×D711yescharacteristic
1056C2×C22⋊C4C22×D711yescharacteristic
1057C2×C22⋊C4C22×D711yescharacteristic
1058C2×C22⋊C4C22×D711yescharacteristic
1059C2×C22⋊C4C22×D711yescharacteristic
1060C2×C22⋊C4C22×D711yescharacteristic
1061C2×C22⋊C4C22×D711yescharacteristic
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42—71no—
1069C2×C42—282no—
1070C2×C42C22×D711yescharacteristic
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95C22×D711yescharacteristic
1100#95C22×D711yescharacteristic
1101#95C22×D711yescharacteristic
1102#95C22×D711yescharacteristic
1103#95C22×D711yescharacteristic
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—22no—
1112C22×C7—22no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7#54014yes—
1128C22×C7C22×#4111yescharacteristic
1129C22×C7C2×H(5,𝔽2)11yescharacteristic
1130C22×C7C2×H(5,𝔽2)11yescharacteristic
1131C22×C7C2×H(5,𝔽2)11yescharacteristic
1132C22×C7C2×H(5,𝔽2)11yescharacteristic
1133C22×C7#58511yescharacteristic
1134C22×C7#58511yescharacteristic
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7—41no—
1160C2×D7—41no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—88no—
1164C4×C7—22no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7—41no—
1169C4×C7—41no—
1170C4×C7—41no—
1171C4×C7—41no—
1172C4×C7—41no—
1173C4×C7—41no—
1174C4×C7—41no—
1175C4×C7—41no—
1176Dic7—22no—
1177Dic7—22no—
1178Dic7—22no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183Dic7—41no—
1184Dic7—41no—
1185Dic7—41no—
1186Dic7—41no—
1187Dic7—41no—
1188C24—71no—
1189C24—71no—
1190C24—71no—
1191C24—71no—
1192C24—142no—
1193C24—142no—
1194C24—142no—
1195C24—281no—
1196C24—281no—
1197C24—281no—
1198C24—281no—
1199C24C23×D711yescharacteristic
1200C24C23×D711yescharacteristic
1201C24C23×D711yescharacteristic
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—142no—
1217C2×D4—142no—
1218C2×D4—142no—
1219C2×D4—142no—
1220C2×D4—142no—
1221C2×D4—142no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—281no—
1229C2×D4—281no—
1230C2×D4—281no—
1231C2×D4—281no—
1232C2×D4—281no—
1233C2×D4—281no—
1234C2×D4—281no—
1235C2×D4—281no—
1236C2×D4—281no—
1237C2×D4—281no—
1238C2×D4—281no—
1239C2×D4—281no—
1240C2×D4—281no—
1241C2×D4—281no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—74no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—142no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—281no—
1285C22×C4—281no—
1286C22×C4—281no—
1287C22×C4—281no—
1288C22×C4—281no—
1289C22×C4—281no—
1290C22×C4—281no—
1291C22×C4—281no—
1292C22×C4—281no—
1293C22×C4—281no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4C23×D711yescharacteristic
1299C22×C4C23×D711yescharacteristic
1300C22×C4C23×D711yescharacteristic
1301C22×C4C23×D711yescharacteristic
1302C22×C4C23×D711yescharacteristic
1303C22×C4C23×D711yescharacteristic
1304C22×C4C23×D711yescharacteristic
1305C22×C4C23×D711yescharacteristic
1306C22×C4C23×D711yescharacteristic
1307C22×C4C23×D711yescharacteristic
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—142no—
1319C4⋊C4—142no—
1320C4⋊C4—142no—
1321C4⋊C4—142no—
1322C4⋊C4—142no—
1323C4⋊C4—281no—
1324C4⋊C4—281no—
1325C4⋊C4—281no—
1326C4⋊C4—281no—
1327C4⋊C4—281no—
1328C4⋊C4—281no—
1329C4⋊C4—281no—
1330C4⋊C4—281no—
1331C4⋊C4—281no—
1332C4⋊C4—281no—
1333C4⋊C4—281no—
1334C4⋊C4—281no—
1335C4⋊C4—281no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
1353C22⋊C4—142no—
1354C22⋊C4—142no—
1355C22⋊C4—142no—
1356C22⋊C4—142no—
1357C22⋊C4—142no—
1358C22⋊C4—142no—
1359C22⋊C4—142no—
1360C22⋊C4—142no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C22⋊C4—281no—
1375C22⋊C4—281no—
1376C22⋊C4—281no—
1377C22⋊C4—281no—
1378C22⋊C4—281no—
1379C22⋊C4—281no—
1380C22⋊C4—281no—
1381C22⋊C4—281no—
1382C22⋊C4—281no—
1383C22⋊C4—281no—
1384C22⋊C4—281no—
1385C22⋊C4—281no—
1386C22⋊C4—281no—
1387C22⋊C4—281no—
1388C22⋊C4—281no—
1389C22⋊C4—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C42—41no—
1393C42—142no—
1394C42—142no—
1395C42—281no—
1396C42—281no—
1397C42—281no—
1398C42—281no—
1399C42—281no—
1400C2×C7—24no—
1401C2×C7—81no—
1402C2×C7—81no—
1403C2×C7C2×#54011yescharacteristic
1404C2×C7#350511yescharacteristic
1405C2×C7#350611yescharacteristic
1406C2×C7#353411yescharacteristic
1407C2×C7#353711yescharacteristic
1408C2×C7#355811yescharacteristic
1409C2×C7#356011yescharacteristic
1410D7—81no—
1411D7—81no—
1412D7—81no—
1413D7—81no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—141no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—141no—
1440C23—141no—
1441C23—141no—
1442C23—141no—
1443C23—141no—
1444C23—141no—
1445C23—141no—
1446C23—141no—
1447C23—141no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—284no—
1461C23—284no—
1462C23—284no—
1463C23—562no—
1464C23—562no—
1465C23—562no—
1466C23—562no—
1467C23#654812yes—
1468C23D7×#4112yes—
1469C23#655312yes—
1470C23C24×D711yescharacteristic
1471D4—44no—
1472D4—44no—
1473D4—82no—
1474D4—284no—
1475D4—284no—
1476D4—562no—
1477D4—562no—
1478D4—562no—
1479D4—562no—
1480D4—562no—
1481D4—562no—
1482D4—562no—
1483D4—562no—
1484D4—562no—
1485D4—562no—
1486D4—562no—
1487D4—562no—
1488D4—562no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—72no—
1527C2×C4—72no—
1528C2×C4—72no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—284no—
1565C2×C4—284no—
1566C2×C4—562no—
1567C2×C4—562no—
1568C2×C4—562no—
1569C2×C4—562no—
1570C2×C4#654812yes—
1571C7#3675911yescharacteristic, complemented, Sylow
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—281no—
1593C22—281no—
1594C22—281no—
1595C22—281no—
1596C22—281no—
1597C22—281no—
1598C22—281no—
1599C22—281no—
1600C22—281no—
1601C22—281no—
1602C22—281no—
1603C22—281no—
1604C22—281no—
1605C22—281no—
1606C22—281no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—568no—
1621C22#9035414yes—
1622C22C2×#654811yescharacteristic
1623C22C2×#654811yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22C2×#655311yescharacteristic
1626C22#9061611yescharacteristic
1627C22D7×H(5,𝔽2)11yescharacteristic
1628C22#9062011yescharacteristic
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—142no—
1642C4—142no—
1643C4—142no—
1644C4—281no—
1645C4—281no—
1646C4—281no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C2—24no—
1654C2—81no—
1655C2—81no—
1656C2—561no—
1657C2—561no—
1658C2—561no—
1659C2—561no—
1660C2C2×#9035411yescharacteristic
1661C2#1174309711yescharacteristic
1662C2#1174352211yescharacteristic
1663C2#1174368211yescharacteristic
1664C2#1174376511yescharacteristic
1665C2#1174379811yescharacteristic
1666C2#1174398311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2443C2
hypercenter#2443D7
hypocenterC7#36759
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C7×#2443C2semidirect
2. #11740351C2semidirect
3. #11740324C2semidirect
4. #11740151C2semidirect
5. #11740145C2semidirect
6. #11739852C2semidirect
7. #11739772C2semidirect
8. #11739640C2semidirect
9. C2×#89762C2semidirect
10. #11735523C2semidirect
11. #11735512C2semidirect
12. #11735424C2semidirect
13. #11735359C2semidirect
14. #11735170C2semidirect
15. #11735049C2semidirect
16. #11734578C2semidirect
17. #11734526C2semidirect
18. #11733390C2semidirect
19. #11733180C2semidirect
20. #11732723C2semidirect
21. #11732704C2semidirect
22. #11732350C2semidirect
23. #11732350C2semidirect
24. #11732338C2semidirect
25. #11732152C2semidirect
26. #11732151C2semidirect
27. #11732111C2semidirect
28. #11732050C2semidirect
29. #11732031C2semidirect
30. #11732025C2semidirect
31. #11731973C2semidirect
32. C2×C7×#123C22semidirect
36. C2×#6503C22semidirect
53. C2×#6457C22semidirect
54. C2×#6452C22semidirect
59. C7×#399C22semidirect
60. C7×#398C22semidirect
61. C7×#397C22semidirect
62. C7×#394C22semidirect
63. C7×#388C22semidirect
64. C7×#387C22semidirect
69. C7×#385C22semidirect
71. #89993C22semidirect
77. #89985C22semidirect
79. #89982C22semidirect
85. #89765C22semidirect
86. #89764C22semidirect
89. #89763C22semidirect
99. #89762C22semidirect
100. #89761C22semidirect
101. #89761C22semidirect
103. #89760C22semidirect
104. #89756C22semidirect
105. #89753C22semidirect
106. #89753C22semidirect
107. #89750C22semidirect
108. #89750C22semidirect
109. #89748C22semidirect
110. #89744C22semidirect
113. #89733C22semidirect
126. #89731C22semidirect
129. #89730C22semidirect
130. #89730C22semidirect
133. #89729C22semidirect
134. #89729C22semidirect
135. #89729C22semidirect
136. #89729C22semidirect
137. #89728C22semidirect
138. #89728C22semidirect
139. #89728C22semidirect
140. #89725C22semidirect
141. #89724C22semidirect
144. #89718C22semidirect
145. #89717C22semidirect
146. #89717C22semidirect
147. #89716C22semidirect
148. #89715C22semidirect
152. #89712C22semidirect
154. #89705C22semidirect
160. #89447C22semidirect
161. #89446C22semidirect
170. #89442C22semidirect
172. #89441C22semidirect
173. #89440C22semidirect
176. #89436C22semidirect
177. #89431C22semidirect
178. #89430C22semidirect
179. #89427C22semidirect
180. #89425C22semidirect
181. #89425C22semidirect
182. #89424C22semidirect
183. #89424C22semidirect
184. #89424C22semidirect
185. #89422C22semidirect
186. #89419C22semidirect
393. #2443D7semidirect
616. C2×#123C2×D7semidirect
643. #399C2×D7semidirect
645. #398C2×D7semidirect
655. #397C2×D7semidirect
679. #394C2×D7semidirect
719. #388C2×D7semidirect
731. #387C2×D7semidirect
759. #385C2×D7semidirect
1571. C7#36759semidirect

Maximal subgroups

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

subgroupindex
C7×#24432
#117403512
#117403242
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