Finite Group Databasebeta

← #14217038

Subgroups — #14217038

Order 1792.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2411C211yesmaximal, characteristic, complemented
2#11740306C211yesmaximal, characteristic, complemented
3#11740295C211yesmaximal, characteristic, complemented
4#11740054C211yesmaximal, characteristic
5#11740024C211yesmaximal, characteristic, complemented
6#11739725C211yesmaximal, characteristic, complemented
7#11739674C211yesmaximal, characteristic, complemented
8#11739544C211yesmaximal, characteristic, complemented
9#11739544C211yesmaximal, characteristic, complemented
10#11734867C211yesmaximal, characteristic, complemented
11#11734840C211yesmaximal, characteristic, complemented
12#11734757C211yesmaximal, characteristic, complemented
13#11734738C211yesmaximal, characteristic, complemented
14#11734474C211yesmaximal, characteristic, complemented
15#11734408C211yesmaximal, characteristic, complemented
16#11734375C211yesmaximal, characteristic, complemented
17#11734368C211yesmaximal, characteristic, complemented
18#11733878C211yesmaximal, characteristic, complemented
19#11733799C211yesmaximal, characteristic, complemented
20#11733789C211yesmaximal, characteristic, complemented
21#11733738C211yesmaximal, characteristic, complemented
22#11733092C211yesmaximal, characteristic, complemented
23#11732965C211yesmaximal, characteristic, complemented
24#11732933C211yesmaximal, characteristic, complemented
25#11732896C211yesmaximal, characteristic, complemented
26#11732348C211yesmaximal, characteristic, complemented
27#11732223C211yesmaximal, characteristic, complemented
28#11732022C211yesmaximal, characteristic, complemented
29#11731842C211yesmaximal, characteristic, complemented
30#11731279C211yesmaximal, characteristic, complemented
31#11731270C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C2×C7×#120C2211yescharacteristic
34C2×C7×#117C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C2×#6516C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C2×#6503C2211yescharacteristic
41C2×#6501C2211yescharacteristic
42C2×D4×Dic7C2211yescharacteristic
43C2×D4×Dic7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×#6461C2211yescharacteristic, complemented
47C2×#6456C2211yescharacteristic, complemented
48C2×D7×C4⋊C4C2211yescharacteristic, complemented
49C2×#6449C2211yescharacteristic
50C2×#6449C2211yescharacteristic
51C2×#6447C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
56C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
57C2×#6442C2211yescharacteristic, complemented
58C2×#6440C2211yescharacteristic
59C7×#396C2211yescharacteristic
60C7×#396C2211yescharacteristic
61C7×#394C2211yescharacteristic
62C7×#394C2211yescharacteristic
63C7×#390C2211yescharacteristic
64C7×#390C2211yescharacteristic
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic
67C7×#386C2211yescharacteristic
68C7×#385C2211yescharacteristic
69C7×#379C2211yescharacteristic
70#89995C2211yescharacteristic
71#89995C2211yescharacteristic
72#89995C2211yescharacteristic
73#89994C2211yescharacteristic
74#89993C2211yescharacteristic
75#89992C2211yescharacteristic
76#89992C2211yescharacteristic
77#89992C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89982C2211yescharacteristic
81#89982C2211yescharacteristic
82C4×C22⋊Dic7C2211yescharacteristic
83C4×C22⋊Dic7C2211yescharacteristic
84#89763C2211yescharacteristic, complemented
85#89762C2211yescharacteristic, complemented
86#89762C2211yescharacteristic, complemented
87#89762C2211yescharacteristic, complemented
88#89762C2211yescharacteristic, complemented
89#89761C2211yescharacteristic, complemented
90#89759C2211yescharacteristic, complemented
91#89758C2211yescharacteristic, complemented
92#89756C2211yescharacteristic, complemented
93#89756C2211yescharacteristic, complemented
94#89755C2211yescharacteristic, complemented
95#89754C2211yescharacteristic, complemented
96#89753C2211yescharacteristic, complemented
97#89753C2211yescharacteristic, complemented
98#89753C2211yescharacteristic, complemented
99#89753C2211yescharacteristic, complemented
100#89750C2211yescharacteristic, complemented
101#89748C2211yescharacteristic, complemented
102C4⋊C4×Dic7C2211yescharacteristic, complemented
103#89745C2211yescharacteristic, complemented
104#89744C2211yescharacteristic, complemented
105#89733C2211yescharacteristic
106#89733C2211yescharacteristic, complemented
107#89733C2211yescharacteristic, complemented
108#89732C2211yescharacteristic
109#89731C2211yescharacteristic
110#89731C2211yescharacteristic
111#89731C2211yescharacteristic
112#89731C2211yescharacteristic
113#89731C2211yescharacteristic, complemented
114#89730C2211yescharacteristic
115#89730C2211yescharacteristic
116#89730C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic, complemented
122#89729C2211yescharacteristic, complemented
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic
127#89728C2211yescharacteristic
128#89728C2211yescharacteristic, complemented
129#89724C2211yescharacteristic, complemented
130#89723C2211yescharacteristic
131#89723C2211yescharacteristic
132#89723C2211yescharacteristic
133#89723C2211yescharacteristic
134#89723C2211yescharacteristic
135#89723C2211yescharacteristic
136#89723C2211yescharacteristic
137#89723C2211yescharacteristic, complemented
138#89722C2211yescharacteristic
139#89722C2211yescharacteristic
140#89720C2211yescharacteristic
141#89720C2211yescharacteristic
142#89720C2211yescharacteristic
143#89720C2211yescharacteristic
144#89718C2211yescharacteristic
145#89718C2211yescharacteristic
146#89718C2211yescharacteristic
147#89718C2211yescharacteristic, complemented
148#89717C2211yescharacteristic
149#89717C2211yescharacteristic
150#89717C2211yescharacteristic
151#89717C2211yescharacteristic, complemented
152#89716C2211yescharacteristic
153#89716C2211yescharacteristic
154#89716C2211yescharacteristic, complemented
155#89716C2211yescharacteristic, complemented
156#89715C2211yescharacteristic
157#89715C2211yescharacteristic, complemented
158#89714C2211yescharacteristic
159C22⋊C4×Dic7C2211yescharacteristic
160C22⋊C4×Dic7C2211yescharacteristic
161C22⋊C4×Dic7C2211yescharacteristic
162C22⋊C4×Dic7C2211yescharacteristic
163#89712C2211yescharacteristic, complemented
164#89711C2211yescharacteristic, complemented
165C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
166C4×C4⋊Dic7C2211yescharacteristic, complemented
167C4×C4⋊Dic7C2211yescharacteristic, complemented
168#89705C2211yescharacteristic, complemented
169#89704C2211yescharacteristic, complemented
170C42×Dic7C2211yescharacteristic, complemented
171#89447C2211yescharacteristic, complemented
172#89442C2211yescharacteristic, complemented
173#89440C2211yescharacteristic, complemented
174#89440C2211yescharacteristic, complemented
175#89438C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89429C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89425C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#60040—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C7×#123—42no—
213C7×#120—24no—
214C7×#117—24no—
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4—42no—
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊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
241#6516—24no—
242#6516—24no—
243C2×C22⋊Dic7—42no—
244C2×C22⋊Dic7—42no—
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
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#6501—24no—
266D4×Dic7—42no—
267D4×Dic7—42no—
268C4×C22⋊D7—42no—
269C4×C22⋊D7—42no—
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×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6461—42no—
322#6456—42no—
323D7×C4⋊C4—42no—
324#6449—24no—
325#6449—42no—
326#6447—24no—
327(C22⋊D7)⋊C4—42no—
328(C22⋊D7)⋊C4—42no—
329(C22⋊D7)⋊C4—42no—
330(C22⋊D7)⋊C4—42no—
331(C22⋊D7)⋊C4—42no—
332#6442—42no—
333#6440—24no—
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#2790—71no—
371#2790—71no—
372#2709—71no—
373#2669—71no—
374#2603—71no—
375#2603—71no—
376#2600—71no—
377#2600—71no—
378#2579—71no—
379#2554—71no—
380#2554—71no—
381#2534—71no—
382#2526—71no—
383#2526—71no—
384#2476—71no—
385#2476—71no—
386#2468—71no—
387#2468—71no—
388#2457—71no—
389#2457—71no—
390#2411—71no—
391#2411D711yescharacteristic, complemented
392#2374—71no—
393#2361—71no—
394#2361—71no—
395#2358—71no—
396#2358—71no—
397#2358—71no—
398C4×#127—71no—
399#2298—71no—
400#2298—71no—
401C24×C7—22no—
402C24×C7—22no—
403C24×C7—22no—
404C24×C7—41no—
405C24×C7—41no—
406C24×C7—41no—
407C24×C7—41no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C24×C7C2411yescharacteristic
411C24×C7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×D4—22no—
415C2×C7×D4—22no—
416C2×C7×D4—22no—
417C2×C7×D4—22no—
418C2×C7×D4—22no—
419C2×C7×D4—41no—
420C2×C7×D4—41no—
421C2×C7×D4—41no—
422C2×C7×D4—41no—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7C2411yescharacteristic
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
440C2×C22⋊D7—22no—
441C2×C22⋊D7—22no—
442C2×C22⋊D7—22no—
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#4114yes—
464C22×Dic7—22no—
465C22×Dic7—22no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7—41no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C2×D28—22no—
494C2×D28—22no—
495C2×D28—41no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C7×C4⋊C4—22no—
509C7×C4⋊C4—22no—
510C7×C4⋊C4—22no—
511C7×C4⋊C4—41no—
512C7×C4⋊C4—41no—
513C7×C4⋊C4—41no—
514C7×C22⋊C4—22no—
515C7×C22⋊C4—22no—
516C7×C22⋊C4—22no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4#4114yes—
531C42×C7—22no—
532C42×C7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7#4114yes—
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—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568C4⋊Dic7—22no—
569C4⋊Dic7—22no—
570C4⋊Dic7—22no—
571C4⋊Dic7—22no—
572C4⋊Dic7—22no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7—41no—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—41no—
581Dic7⋊C4—41no—
582Dic7⋊C4—41no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—22no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C2×#127—71no—
604C2×#126—71no—
605C2×#126—71no—
606C2×#123—71no—
607C2×#123—71no—
608C2×#123C2×D711yescharacteristic
609C2×#121—71no—
610C2×#121—71no—
611C2×#120—71no—
612C2×#120—71no—
613C2×#120C2×D711yescharacteristic
614C2×C4×D4—71no—
615C2×C4×D4—71no—
616C2×C4×D4—71no—
617C2×C4×D4—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×#117—71no—
625C2×#117C2×D711yescharacteristic
626C22×C4⋊C4—71no—
627C22×C22⋊C4—71no—
628C22×C22⋊C4—71no—
629C22×C22⋊C4C2×D711yescharacteristic
630#400—71no—
631#400—71no—
632#398—71no—
633#398—71no—
634#398—71no—
635#398—71no—
636#398—71no—
637#398—71no—
638#397—71no—
639#397—71no—
640#396—71no—
641#396—71no—
642#396—71no—
643#396—71no—
644#396C2×D711yescharacteristic
645#396C2×D711yescharacteristic
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394—71no—
654#394—71no—
655#394—71no—
656#394C2×D711yescharacteristic
657#394C2×D711yescharacteristic
658#392—71no—
659#392—71no—
660#392—71no—
661#392—71no—
662#390—71no—
663#390—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390—71no—
670#390C2×D711yescharacteristic
671#390C2×D711yescharacteristic
672#389—71no—
673#389—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#388—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388C2×D711yescharacteristic
697#388C2×D711yescharacteristic
698#387—71no—
699#387—71no—
700#387—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#387—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#386—71no—
723#386C2×D711yescharacteristic
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385—71no—
735#385C2×D711yescharacteristic
736#384—71no—
737#381—71no—
738#381—71no—
739#381—71no—
740#380—71no—
741#380—71no—
742#379C2×D711yescharacteristic
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755#376—71no—
756#376—71no—
757C43—71no—
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×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—44no—
784C23×C7—44no—
785C23×C7—44no—
786C23×C7—82no—
787C23×C7—82no—
788C23×C7—82no—
789C23×C7—82no—
790C23×C7C2×#4112yes—
791C23×C7C2×#4112yes—
792C23×C7C2×#4112yes—
793C23×C7C2511yescharacteristic
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×D7C2×#4112yes—
808C7×D4—44no—
809C7×D4—44no—
810C7×D4—82no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—44no—
842C2×C4×C7—82no—
843C2×C4×C7C2×#4112yes—
844C2×C4×C7C2×#4112yes—
845C2×C4×C7H(5,𝔽2)12yes—
846C22⋊D7—44no—
847C22⋊D7—44no—
848C22⋊D7—44no—
849C22⋊D7—44no—
850C22⋊D7—44no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—82no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—44no—
892C2×Dic7—82no—
893C2×Dic7—82no—
894C2×Dic7—82no—
895C2×Dic7—82no—
896C2×Dic7C2×#4112yes—
897C2×Dic7C2×#4112yes—
898C2×Dic7C2×#4112yes—
899C2×Dic7H(5,𝔽2)12yes—
900C2×Dic7H(5,𝔽2)12yes—
901D28—44no—
902C4×D7—44no—
903C4×D7—82no—
904C4×D7—82no—
905C4×D7—82no—
906C25C22×D711yescharacteristic
907C22×D4—71no—
908C22×D4—71no—
909C22×D4—71no—
910C22×D4—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4C22×D711yescharacteristic
917C22×D4C22×D711yescharacteristic
918C22×D4C22×D711yescharacteristic
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4C22×D711yescharacteristic
929C23×C4C22×D711yescharacteristic
930#127—144no—
931#126—282no—
932#126—282no—
933#123—42no—
934#123—144no—
935#123—282no—
936#121—144no—
937#121—144no—
938#120—24no—
939#120—144no—
940#120—144no—
941C4×D4—282no—
942C4×D4—282no—
943C4×D4—282no—
944C4×D4—282no—
945C4×D4—282no—
946C4×D4—282no—
947C4×D4—282no—
948C4×D4—282no—
949C4×D4—282no—
950C4×D4—282no—
951#117—24no—
952#117—144no—
953C2×C4⋊C4—71no—
954C2×C4⋊C4—71no—
955C2×C4⋊C4—71no—
956C2×C4⋊C4—71no—
957C2×C4⋊C4—71no—
958C2×C4⋊C4—71no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—282no—
976C2×C4⋊C4C22×D711yescharacteristic
977C2×C4⋊C4C22×D711yescharacteristic
978C2×C4⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—42no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—282no—
1019C2×C22⋊C4—282no—
1020C2×C22⋊C4C22×D711yescharacteristic
1021C2×C22⋊C4C22×D711yescharacteristic
1022C2×C22⋊C4C22×D711yescharacteristic
1023C2×C22⋊C4C22×D711yescharacteristic
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088C22×C7—22no—
1089C22×C7—22no—
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—22no—
1094C22×C7—22no—
1095C22×C7—22no—
1096C22×C7—22no—
1097C22×C7—41no—
1098C22×C7—41no—
1099C22×C7—41no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—88no—
1117C22×C7C22×#4111yescharacteristic
1118C22×C7C22×#4111yescharacteristic
1119C22×C7C22×#4111yescharacteristic
1120C22×C7C2×H(5,𝔽2)11yescharacteristic
1121C22×C7C2×H(5,𝔽2)11yescharacteristic
1122C22×C7C2×H(5,𝔽2)11yescharacteristic
1123C22×C7#58511yescharacteristic
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C4×C7—22no—
1139C4×C7—22no—
1140C4×C7—22no—
1141C4×C7—41no—
1142C4×C7—41no—
1143C4×C7—41no—
1144C4×C7—41no—
1145C4×C7—41no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149Dic7—22no—
1150Dic7—22no—
1151Dic7—22no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—41no—
1155Dic7—41no—
1156Dic7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—71no—
1171C24—71no—
1172C24C23×D711yescharacteristic
1173C24C23×D711yescharacteristic
1174C24C23×D711yescharacteristic
1175C24C23×D711yescharacteristic
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—74no—
1186C2×D4—142no—
1187C2×D4—142no—
1188C2×D4—142no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—142no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4—281no—
1203C2×D4—281no—
1204C2×D4—281no—
1205C2×D4—281no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4C23×D711yescharacteristic
1260C22×C4C23×D711yescharacteristic
1261C22×C4C23×D711yescharacteristic
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—142no—
1277C4⋊C4—142no—
1278C4⋊C4—142no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—281no—
1286C4⋊C4—281no—
1287C4⋊C4—281no—
1288C4⋊C4—281no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—74no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4#115914yes—
1350C42—22no—
1351C42—22no—
1352C42—142no—
1353C42—142no—
1354C42—142no—
1355C42—142no—
1356C42—142no—
1357C42—142no—
1358C42—142no—
1359C42—142no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C2×C7—42no—
1366C2×C7—42no—
1367C2×C7—42no—
1368C2×C7—81no—
1369C2×C7#348111yescharacteristic
1370C2×C7#348111yescharacteristic
1371C2×C7#348111yescharacteristic
1372C2×C7#349411yescharacteristic
1373C2×C7#349411yescharacteristic
1374C2×C7#350511yescharacteristic
1375C2×C7#354311yescharacteristic
1376D7—42no—
1377D7—81no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—44no—
1404C23—44no—
1405C23—44no—
1406C23—72no—
1407C23—82no—
1408C23—82no—
1409C23—82no—
1410C23—82no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23C2×#115912yes—
1425C23D7×#4112yes—
1426C23D7×#4112yes—
1427C23C24×D711yescharacteristic
1428D4—44no—
1429D4—44no—
1430D4—82no—
1431D4—284no—
1432D4—284no—
1433D4—284no—
1434D4—284no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—284no—
1439D4—562no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—44no—
1471C2×C4—72no—
1472C2×C4—72no—
1473C2×C4—72no—
1474C2×C4—72no—
1475C2×C4—72no—
1476C2×C4—82no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—284no—
1515C2×C4—284no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4—562no—
1520C2×C4—562no—
1521C2×C4—562no—
1522C2×C4—562no—
1523C2×C4C2×#115912yes—
1524C2×C4C2×#115912yes—
1525C2×C4#654812yes—
1526C7#6004011yescharacteristic, complemented, Sylow
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—88no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22C22×#115911yescharacteristic
1571C22C2×#654811yescharacteristic
1572C22C2×D7×#4111yescharacteristic
1573C22C2×D7×#4111yescharacteristic
1574C22#9061611yescharacteristic
1575C22D7×H(5,𝔽2)11yescharacteristic
1576C22D7×H(5,𝔽2)11yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—142no—
1589C4—142no—
1590C4—142no—
1591C4—142no—
1592C4—142no—
1593C4—281no—
1594C4—281no—
1595C4—281no—
1596C4—281no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C2—42no—
1603C2—42no—
1604C2—42no—
1605C2—81no—
1606C2—282no—
1607C2—561no—
1608C2#1174300411yescharacteristic
1609C2#1174310611yescharacteristic
1610C2#1174340411yescharacteristic
1611C2#1174369611yescharacteristic
1612C2#1174369611yescharacteristic
1613C2#1174386011yescharacteristic
1614C2#1174388511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2411C2
prime radical#11740054C2
hypercenter#2411D7
hypocenterC7#60040
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. C7×#2411C2semidirect
2. #11740306C2semidirect
3. #11740295C2semidirect
5. #11740024C2semidirect
6. #11739725C2semidirect
7. #11739674C2semidirect
8. #11739544C2semidirect
9. #11739544C2semidirect
10. #11734867C2semidirect
11. #11734840C2semidirect
12. #11734757C2semidirect
13. #11734738C2semidirect
14. #11734474C2semidirect
15. #11734408C2semidirect
16. #11734375C2semidirect
17. #11734368C2semidirect
18. #11733878C2semidirect
19. #11733799C2semidirect
20. #11733789C2semidirect
21. #11733738C2semidirect
22. #11733092C2semidirect
23. #11732965C2semidirect
24. #11732933C2semidirect
25. #11732896C2semidirect
26. #11732348C2semidirect
27. #11732223C2semidirect
28. #11732022C2semidirect
29. #11731842C2semidirect
30. #11731279C2semidirect
31. #11731270C2semidirect
46. C2×#6461C22semidirect
47. C2×#6456C22semidirect
48. C2×D7×C4⋊C4C22semidirect
55. C2×(C22⋊D7)⋊C4C22semidirect
56. C2×(C22⋊D7)⋊C4C22semidirect
57. C2×#6442C22semidirect
84. #89763C22semidirect
85. #89762C22semidirect
86. #89762C22semidirect
87. #89762C22semidirect
88. #89762C22semidirect
89. #89761C22semidirect
90. #89759C22semidirect
91. #89758C22semidirect
92. #89756C22semidirect
93. #89756C22semidirect
94. #89755C22semidirect
95. #89754C22semidirect
96. #89753C22semidirect
97. #89753C22semidirect
98. #89753C22semidirect
99. #89753C22semidirect
100. #89750C22semidirect
101. #89748C22semidirect
102. C4⋊C4×Dic7C22semidirect
103. #89745C22semidirect
104. #89744C22semidirect
106. #89733C22semidirect
107. #89733C22semidirect
113. #89731C22semidirect
121. #89729C22semidirect
122. #89729C22semidirect
128. #89728C22semidirect
129. #89724C22semidirect
137. #89723C22semidirect
147. #89718C22semidirect
151. #89717C22semidirect
154. #89716C22semidirect
155. #89716C22semidirect
157. #89715C22semidirect
163. #89712C22semidirect
164. #89711C22semidirect
165. C4×(C2×D7)⋊C4C22semidirect
166. C4×C4⋊Dic7C22semidirect
167. C4×C4⋊Dic7C22semidirect
168. #89705C22semidirect
169. #89704C22semidirect
170. C42×Dic7C22semidirect
171. #89447C22semidirect
172. #89442C22semidirect
173. #89440C22semidirect
174. #89440C22semidirect
175. #89438C22semidirect
176. #89437C22semidirect
177. #89436C22semidirect
178. #89429C22semidirect
179. #89429C22semidirect
180. #89429C22semidirect
181. #89427C22semidirect
182. #89426C22semidirect
183. #89425C22semidirect
184. #89424C22semidirect
185. #89421C22semidirect
186. #89420C22semidirect
391. #2411D7semidirect
1526. C7#60040semidirect

Maximal subgroups

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

subgroupindex
C7×#24112
#117403062
#117402952
#117400542
#117400242
#117397252
#117396742
#117395442
#117348672
#117348402
#117347572
#117347382
#117344742
#117344082
#117343752
#117343682
#117338782
#117337992
#117337892
#117337382
#117330922
#117329652
#117329332
#117328962
#117323482
#117322232
#117320222
#117318422
#117312792
#117312702
#600407