Finite Group Databasebeta

← #14217031

Subgroups — #14217031

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×#2298C211yesmaximal, characteristic, complemented
2#11739725C211yesmaximal, characteristic, complemented
3#11739720C211yesmaximal, characteristic, complemented
4#11733357C211yesmaximal, characteristic
5#11733341C211yesmaximal, characteristic, complemented
6#11733326C211yesmaximal, characteristic, complemented
7#11733287C211yesmaximal, characteristic, complemented
8#11733281C211yesmaximal, characteristic, complemented
9#11733232C211yesmaximal, characteristic, complemented
10#11733092C211yesmaximal, characteristic, complemented
11#11732922C211yesmaximal, characteristic, complemented
12#11732883C211yesmaximal, characteristic, complemented
13#11732842C211yesmaximal, characteristic, complemented
14#11732817C211yesmaximal, characteristic, complemented
15#11732815C211yesmaximal, characteristic, complemented
16#11732769C211yesmaximal, characteristic, complemented
17#11732500C211yesmaximal, characteristic, complemented
18#11732459C211yesmaximal, characteristic, complemented
19#11732448C211yesmaximal, characteristic, complemented
20#11731248C211yesmaximal, characteristic, complemented
21#11731228C211yesmaximal, characteristic, complemented
22#11731219C211yesmaximal, characteristic, complemented
23#11731112C211yesmaximal, characteristic, complemented
24#11731034C211yesmaximal, characteristic, complemented
25#11731022C211yesmaximal, characteristic, complemented
26#11731022C211yesmaximal, characteristic, complemented
27#11730980C211yesmaximal, characteristic, complemented
28#11730870C211yesmaximal, characteristic, complemented
29#11730866C211yesmaximal, characteristic, complemented
30C4×#6437C211yesmaximal, characteristic, complemented
31#11730746C211yesmaximal, characteristic, complemented
32C2×C7×#117C2211yescharacteristic
33C2×#6492C2211yescharacteristic
34C22×(C2×D7)⋊C4C2211yescharacteristic
35C2×#6461C2211yescharacteristic, complemented
36C2×#6458C2211yescharacteristic
37C2×#6457C2211yescharacteristic
38C2×#6457C2211yescharacteristic
39C2×#6456C2211yescharacteristic
40C2×D7×C4⋊C4C2211yescharacteristic, complemented
41C2×#6447C2211yescharacteristic
42C2×#6445C2211yescharacteristic
43C2×#6445C2211yescharacteristic
44C2×#6445C2211yescharacteristic
45C2×(C22⋊D7)⋊C4C2211yescharacteristic
46C2×(C22⋊D7)⋊C4C2211yescharacteristic
47C2×D7×C22⋊C4C2211yescharacteristic
48C2×D7×C22⋊C4C2211yescharacteristic
49C2×#6439C2211yescharacteristic, complemented
50C2×#6437C2211yescharacteristic
51C2×C4×D28C2211yescharacteristic
52C2×C4×D28C2211yescharacteristic
53C2×C4×D28C2211yescharacteristic
54C2×C4×D28C2211yescharacteristic
55C2×C4×D28C2211yescharacteristic, complemented
56C2×C4×D28C2211yescharacteristic, complemented
57C2×C4×D28C2211yescharacteristic, complemented
58C2×#6435C2211yescharacteristic
59C7×#388C2211yescharacteristic
60C7×#388C2211yescharacteristic
61C7×#388C2211yescharacteristic
62C7×#388C2211yescharacteristic
63C7×#387C2211yescharacteristic, complemented
64C7×#387C2211yescharacteristic, complemented
65C7×#387C2211yescharacteristic, complemented
66C7×#387C2211yescharacteristic, complemented
67C4×C7×C4⋊C4C2211yescharacteristic, complemented
68C4×C7×C4⋊C4C2211yescharacteristic, complemented
69C4×C7×C22⋊C4C2211yescharacteristic
70C4×C7×C22⋊C4C2211yescharacteristic
71C7×#376C2211yescharacteristic, complemented
72C43×C7C2211yescharacteristic, complemented
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89766C2211yescharacteristic
76#89766C2211yescharacteristic
77#89766C2211yescharacteristic
78#89763C2211yescharacteristic
79#89763C2211yescharacteristic
80#89763C2211yescharacteristic
81#89763C2211yescharacteristic, complemented
82#89763C2211yescharacteristic, complemented
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic, complemented
85#89762C2211yescharacteristic, complemented
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic, complemented
88#89761C2211yescharacteristic, complemented
89#89757C2211yescharacteristic, complemented
90#89756C2211yescharacteristic, complemented
91#89756C2211yescharacteristic, complemented
92#89753C2211yescharacteristic, complemented
93#89732C2211yescharacteristic
94#89732C2211yescharacteristic
95#89731C2211yescharacteristic
96#89731C2211yescharacteristic
97#89730C2211yescharacteristic
98#89729C2211yescharacteristic
99#89729C2211yescharacteristic
100#89728C2211yescharacteristic
101#89728C2211yescharacteristic
102#89727C2211yescharacteristic
103#89723C2211yescharacteristic
104#89722C2211yescharacteristic
105#89722C2211yescharacteristic
106#89722C2211yescharacteristic
107#89720C2211yescharacteristic
108#89720C2211yescharacteristic
109#89712C2211yescharacteristic
110#89712C2211yescharacteristic
111#89712C2211yescharacteristic
112#89712C2211yescharacteristic
113#89712C2211yescharacteristic
114#89712C2211yescharacteristic
115#89712C2211yescharacteristic, complemented
116#89712C2211yescharacteristic, complemented
117#89712C2211yescharacteristic, complemented
118#89712C2211yescharacteristic, complemented
119#89711C2211yescharacteristic
120#89711C2211yescharacteristic
121#89711C2211yescharacteristic
122#89711C2211yescharacteristic
123#89711C2211yescharacteristic
124#89711C2211yescharacteristic, complemented
125#89711C2211yescharacteristic, complemented
126#89711C2211yescharacteristic, complemented
127C4×(C2×D7)⋊C4C2211yescharacteristic
128C4×(C2×D7)⋊C4C2211yescharacteristic
129C4×(C2×D7)⋊C4C2211yescharacteristic
130C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
131#89707C2211yescharacteristic, complemented
132#89705C2211yescharacteristic, complemented
133#89705C2211yescharacteristic, complemented
134#89705C2211yescharacteristic, complemented
135#89705C2211yescharacteristic, complemented
136#89704C2211yescharacteristic, complemented
137C4×Dic7⋊C4C2211yescharacteristic, complemented
138C4×Dic7⋊C4C2211yescharacteristic, complemented
139#89448C2211yescharacteristic
140#89447C2211yescharacteristic, complemented
141#89446C2211yescharacteristic, complemented
142#89444C2211yescharacteristic
143#89444C2211yescharacteristic
144#89444C2211yescharacteristic
145#89444C2211yescharacteristic, complemented
146#89444C2211yescharacteristic, complemented
147#89443C2211yescharacteristic
148#89443C2211yescharacteristic
149#89442C2211yescharacteristic
150#89442C2211yescharacteristic
151#89442C2211yescharacteristic, complemented
152#89441C2211yescharacteristic, complemented
153#89441C2211yescharacteristic, complemented
154#89441C2211yescharacteristic, complemented
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89440C2211yescharacteristic
159#89440C2211yescharacteristic, complemented
160#89440C2211yescharacteristic, complemented
161#89439C2211yescharacteristic
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#89436C2211yescharacteristic
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179#89433C2211yescharacteristic, complemented
180#89433C2211yescharacteristic, complemented
181#89432C2211yescharacteristic, complemented
182#89432C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89429C2211yescharacteristic, complemented
185#89427C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#60040—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C23×C4×C7C2311yescharacteristic
190C22×C22⋊D7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C23×Dic7C2311yescharacteristic
194C22×D28C2311yescharacteristic
195C22×D28C2311yescharacteristic
196C22×D28C2311yescharacteristic
197C22×D28C2311yescharacteristic
198C22×D28C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C7×#117—24no—
213C2×C7×C4⋊C4C2311yescharacteristic
214C2×C7×C4⋊C4C2311yescharacteristic
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C42×C7C2311yescharacteristic
226C2×C42×C7C2311yescharacteristic
227C2×C42×C7C2311yescharacteristic
228C2×C42×C7C2311yescharacteristic
229C2×C42×C7C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238#6492—42no—
239C2×(C2×D7)⋊C4—42no—
240C2×(C2×D7)⋊C4C2311yescharacteristic
241C2×(C2×D7)⋊C4C2311yescharacteristic
242C2×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310#6461—42no—
311#6458—24no—
312#6457—24no—
313#6457—42no—
314#6456—42no—
315D7×C4⋊C4—42no—
316#6447—24no—
317#6445—24no—
318#6445—24no—
319#6445—24no—
320(C22⋊D7)⋊C4—42no—
321(C22⋊D7)⋊C4—42no—
322D7×C22⋊C4—42no—
323D7×C22⋊C4—42no—
324#6439—42no—
325#6437—24no—
326C4×D28—42no—
327C4×D28—42no—
328C4×D28—42no—
329C4×D28—42no—
330C4×D28—42no—
331C4×D28—42no—
332C4×D28—42no—
333#6435—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#2411—71no—
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#2298D711yescharacteristic, complemented
401C24×C7C2411yescharacteristic
402C23×D7—22no—
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—41no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7C2411yescharacteristic
410C23×D7C2411yescharacteristic
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C22×C4×C7—22no—
415C22×C4×C7—22no—
416C22×C4×C7—41no—
417C22×C4×C7C2411yescharacteristic
418C22×C4×C7C2411yescharacteristic
419C22×C4×C7C2411yescharacteristic
420C22×C4×C7C2411yescharacteristic
421C22×C4×C7C2411yescharacteristic
422C22×C4×C7C2411yescharacteristic
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C2×C22⋊D7—22no—
432C2×C22⋊D7—22no—
433C2×C22⋊D7—22no—
434C2×C22⋊D7—22no—
435C2×C22⋊D7—22no—
436C2×C22⋊D7—41no—
437C2×C22⋊D7—41no—
438C2×C22⋊D7—41no—
439C2×C22⋊D7—41no—
440C22×Dic7—41no—
441C22×Dic7—41no—
442C22×Dic7—41no—
443C22×Dic7C2411yescharacteristic
444C22×Dic7C2411yescharacteristic
445C22×Dic7C2411yescharacteristic
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C2×D28—22no—
455C2×D28—22no—
456C2×D28—22no—
457C2×D28—22no—
458C2×D28—22no—
459C2×D28—22no—
460C2×D28—22no—
461C2×D28—22no—
462C2×D28—22no—
463C2×D28—22no—
464C2×D28—22no—
465C2×D28—22no—
466C2×D28—22no—
467C2×D28—22no—
468C2×D28—41no—
469C2×D28—41no—
470C2×D28—41no—
471C2×D28—41no—
472C2×D28—41no—
473C2×D28—41no—
474C2×D28—41no—
475C2×D28—41no—
476C2×D28—41no—
477C2×D28—41no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28#4114yes—
481C2×C4×D7—22no—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—41no—
491C2×C4×D7—41no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
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—22no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—22no—
514C7×C22⋊C4—22no—
515C7×C22⋊C4—22no—
516C7×C22⋊C4—22no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4#4114yes—
520C42×C7—22no—
521C42×C7—22no—
522C42×C7—22no—
523C42×C7—22no—
524C42×C7—22no—
525C42×C7—22no—
526C42×C7—22no—
527C42×C7—22no—
528C42×C7—41no—
529C42×C7—41no—
530C22⋊Dic7—41no—
531C22⋊Dic7—41no—
532C22⋊Dic7—41no—
533(C2×D7)⋊C4—22no—
534(C2×D7)⋊C4—22no—
535(C2×D7)⋊C4—22no—
536(C2×D7)⋊C4—22no—
537(C2×D7)⋊C4—22no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—22no—
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
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—
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#4114yes—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598C4×Dic7—22no—
599C4×Dic7—22no—
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×#123—71no—
609C2×#121—71no—
610C2×#121—71no—
611C2×#120—71no—
612C2×#120—71no—
613C2×#120—71no—
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⋊C4—71no—
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#396—71no—
645#396—71no—
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#394—71no—
657#394—71no—
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#390—71no—
671#390—71no—
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#388C2×D711yescharacteristic
695#388C2×D711yescharacteristic
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#387C2×D711yescharacteristic, complemented
705#387C2×D711yescharacteristic, complemented
706#387C2×D711yescharacteristic, complemented
707#387C2×D711yescharacteristic, complemented
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#386—71no—
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#385—71no—
736#384—71no—
737#381—71no—
738#381—71no—
739#381—71no—
740#380—71no—
741#380—71no—
742#379—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4C2×D711yescharacteristic, complemented
746C4×C4⋊C4C2×D711yescharacteristic, complemented
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⋊C4C2×D711yescharacteristic
754C4×C22⋊C4C2×D711yescharacteristic
755#376—71no—
756#376C2×D711yescharacteristic, complemented
757C43C2×D711yescharacteristic, complemented
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7C2×#4112yes—
765C23×C7C2511yescharacteristic
766C22×D7—21no—
767C22×D7—21no—
768C22×D7—21no—
769C22×D7—21no—
770C22×D7—21no—
771C22×D7—21no—
772C22×D7—21no—
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
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—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—82no—
802C22×D7—82no—
803C22×D7—82no—
804C22×D7—82no—
805C22×D7C2×#4112yes—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
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—21no—
842C2×C4×C7—21no—
843C2×C4×C7—44no—
844C2×C4×C7C2×#4112yes—
845C2×C4×C7C2×#4112yes—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7H(5,𝔽2)12yes—
849C2×C4×C7H(5,𝔽2)12yes—
850C2×C4×C7H(5,𝔽2)12yes—
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—82no—
887C2×Dic7C2×#4112yes—
888D28—44no—
889D28—44no—
890D28—44no—
891D28—44no—
892D28—44no—
893D28—44no—
894D28—44no—
895D28—44no—
896D28—82no—
897C4×D7—44no—
898C4×D7—44no—
899C4×D7—82no—
900C4×D7—82no—
901C4×D7—82no—
902C4×D7—82no—
903C4×D7—82no—
904C4×D7—82no—
905C4×D7—82no—
906C25—71no—
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×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
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×C4—71no—
929C23×C4C22×D711yescharacteristic
930#127—144no—
931#126—282no—
932#126—282no—
933#123—144no—
934#123—282no—
935#123—282no—
936#121—144no—
937#121—144no—
938#120—144no—
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—71no—
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—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—282no—
1029C2×C22⋊C4—282no—
1030C2×C22⋊C4—282no—
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×C42C22×D711yescharacteristic
1043C2×C42C22×D711yescharacteristic
1044C2×C42C22×D711yescharacteristic
1045C2×C42C22×D711yescharacteristic
1046C2×C42C22×D711yescharacteristic
1047C2×C42C22×D711yescharacteristic
1048C2×C42C22×D711yescharacteristic
1049C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1077#95C22×D711yescharacteristic
1078#95C22×D711yescharacteristic
1079#95C22×D711yescharacteristic
1080#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088C22×C7—22no—
1089C22×C7—22no—
1090C22×C7—22no—
1091C22×C7—41no—
1092C22×C7—41no—
1093C22×C7—41no—
1094C22×C7—41no—
1095C22×C7C22×#4111yescharacteristic
1096C22×C7C22×#4111yescharacteristic
1097C22×C7C22×#4111yescharacteristic
1098C22×C7C2×H(5,𝔽2)11yescharacteristic
1099C22×C7C2×H(5,𝔽2)11yescharacteristic
1100C22×C7C2×H(5,𝔽2)11yescharacteristic
1101C22×C7#58511yescharacteristic
1102C2×D7—22no—
1103C2×D7—22no—
1104C2×D7—22no—
1105C2×D7—22no—
1106C2×D7—22no—
1107C2×D7—22no—
1108C2×D7—22no—
1109C2×D7—22no—
1110C2×D7—22no—
1111C2×D7—41no—
1112C2×D7—41no—
1113C2×D7—41no—
1114C2×D7—41no—
1115C2×D7—41no—
1116C2×D7—41no—
1117C2×D7—41no—
1118C2×D7—41no—
1119C2×D7—41no—
1120C2×D7—41no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
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—88no—
1138C4×C7—22no—
1139C4×C7—22no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—41no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152Dic7—22no—
1153Dic7—41no—
1154Dic7—41no—
1155Dic7—41no—
1156Dic7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163C24—71no—
1164C24—71no—
1165C24—71no—
1166C24—71no—
1167C24—71no—
1168C24—142no—
1169C24—142no—
1170C24—142no—
1171C24—281no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24C23×D711yescharacteristic
1176C2×D4—74no—
1177C2×D4—142no—
1178C2×D4—142no—
1179C2×D4—142no—
1180C2×D4—142no—
1181C2×D4—142no—
1182C2×D4—142no—
1183C2×D4—142no—
1184C2×D4—142no—
1185C2×D4—142no—
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—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
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—71no—
1216C22×C4—71no—
1217C22×C4—71no—
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—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—281no—
1236C22×C4—281no—
1237C22×C4—281no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4—281no—
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×C4C23×D711yescharacteristic
1257C22×C4C23×D711yescharacteristic
1258C22×C4C23×D711yescharacteristic
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—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—142no—
1277C4⋊C4—142no—
1278C4⋊C4—142no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—142no—
1282C4⋊C4—281no—
1283C4⋊C4—281no—
1284C4⋊C4—281no—
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—74no—
1304C22⋊C4—142no—
1305C22⋊C4—142no—
1306C22⋊C4—142no—
1307C22⋊C4—142no—
1308C22⋊C4—142no—
1309C22⋊C4—142no—
1310C22⋊C4—142no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—281no—
1326C22⋊C4—281no—
1327C22⋊C4—281no—
1328C22⋊C4—281no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊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#115714yes—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—41no—
1359C42—41no—
1360C42—142no—
1361C42—142no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C2×C7—42no—
1366C2×C7#348111yescharacteristic
1367C2×C7#348111yescharacteristic
1368C2×C7#348111yescharacteristic
1369C2×C7#349411yescharacteristic
1370C2×C7#349411yescharacteristic
1371C2×C7#350511yescharacteristic
1372C2×C7#354311yescharacteristic
1373D7—42no—
1374D7—42no—
1375D7—42no—
1376D7—81no—
1377D7—81no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—72no—
1385C23—72no—
1386C23—72no—
1387C23—141no—
1388C23—141no—
1389C23—141no—
1390C23—141no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—284no—
1420C23—284no—
1421C23—284no—
1422C23—562no—
1423C23—562no—
1424C23—562no—
1425C23—562no—
1426C23C2×#115712yes—
1427C23C24×D711yescharacteristic
1428D4—284no—
1429D4—284no—
1430D4—284no—
1431D4—284no—
1432D4—284no—
1433D4—284no—
1434D4—284no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—562no—
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—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—44no—
1476C2×C4—72no—
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—284no—
1510C2×C4—284no—
1511C2×C4—562no—
1512C2×C4—562no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4C2×#115712yes—
1520C2×C4C2×#115712yes—
1521C2×C4D7×#4112yes—
1522C2×C4D7×#4112yes—
1523C2×C4#655312yes—
1524C2×C4#655312yes—
1525C2×C4#655312yes—
1526C7#6004011yescharacteristic, complemented, Sylow
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—142no—
1535C22—142no—
1536C22—142no—
1537C22—142no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—281no—
1544C22—281no—
1545C22—281no—
1546C22—281no—
1547C22—281no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—568no—
1570C22C22×#115711yescharacteristic
1571C22C2×D7×#4111yescharacteristic
1572C22C2×D7×#4111yescharacteristic
1573C22C2×#655311yescharacteristic
1574C22C2×#655311yescharacteristic
1575C22C2×#655311yescharacteristic
1576C22#9061611yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—142no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C4—281no—
1596C4—281no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C2—42no—
1603C2—282no—
1604C2—282no—
1605C2—282no—
1606C2—561no—
1607C2—561no—
1608C2#1174281511yescharacteristic
1609C2#1174291111yescharacteristic
1610C2#1174291111yescharacteristic
1611C2#1174322111yescharacteristic
1612C2#1174322411yescharacteristic
1613C2#1174322611yescharacteristic
1614C2#1174324011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2298C2
prime radical#11733357C2
hypercenter#2298D7
hypocenterC7#60040
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2298

Complements

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

NH ≅ G/Ntype
1. C7×#2298C2semidirect
2. #11739725C2semidirect
3. #11739720C2semidirect
5. #11733341C2semidirect
6. #11733326C2semidirect
7. #11733287C2semidirect
8. #11733281C2semidirect
9. #11733232C2semidirect
10. #11733092C2semidirect
11. #11732922C2semidirect
12. #11732883C2semidirect
13. #11732842C2semidirect
14. #11732817C2semidirect
15. #11732815C2semidirect
16. #11732769C2semidirect
17. #11732500C2semidirect
18. #11732459C2semidirect
19. #11732448C2semidirect
20. #11731248C2semidirect
21. #11731228C2semidirect
22. #11731219C2semidirect
23. #11731112C2semidirect
24. #11731034C2semidirect
25. #11731022C2semidirect
26. #11731022C2semidirect
27. #11730980C2semidirect
28. #11730870C2semidirect
29. #11730866C2semidirect
30. C4×#6437C2semidirect
31. #11730746C2semidirect
35. C2×#6461C22semidirect
40. C2×D7×C4⋊C4C22semidirect
49. C2×#6439C22semidirect
55. C2×C4×D28C22semidirect
56. C2×C4×D28C22semidirect
57. C2×C4×D28C22semidirect
63. C7×#387C22semidirect
64. C7×#387C22semidirect
65. C7×#387C22semidirect
66. C7×#387C22semidirect
67. C4×C7×C4⋊C4C22semidirect
68. C4×C7×C4⋊C4C22semidirect
71. C7×#376C22semidirect
72. C43×C7C22semidirect
81. #89763C22semidirect
82. #89763C22semidirect
84. #89762C22semidirect
85. #89762C22semidirect
87. #89761C22semidirect
88. #89761C22semidirect
89. #89757C22semidirect
90. #89756C22semidirect
91. #89756C22semidirect
92. #89753C22semidirect
115. #89712C22semidirect
116. #89712C22semidirect
117. #89712C22semidirect
118. #89712C22semidirect
124. #89711C22semidirect
125. #89711C22semidirect
126. #89711C22semidirect
130. C4×(C2×D7)⋊C4C22semidirect
131. #89707C22semidirect
132. #89705C22semidirect
133. #89705C22semidirect
134. #89705C22semidirect
135. #89705C22semidirect
136. #89704C22semidirect
137. C4×Dic7⋊C4C22semidirect
138. C4×Dic7⋊C4C22semidirect
140. #89447C22semidirect
141. #89446C22semidirect
145. #89444C22semidirect
146. #89444C22semidirect
151. #89442C22semidirect
152. #89441C22semidirect
153. #89441C22semidirect
154. #89441C22semidirect
159. #89440C22semidirect
160. #89440C22semidirect
162. #89439C22semidirect
164. #89438C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. #89433C22semidirect
180. #89433C22semidirect
181. #89432C22semidirect
182. #89432C22semidirect
183. #89429C22semidirect
184. #89429C22semidirect
185. #89427C22semidirect
186. #89419C22semidirect
400. #2298D7semidirect
704. #387C2×D7semidirect
705. #387C2×D7semidirect
706. #387C2×D7semidirect
707. #387C2×D7semidirect
745. C4×C4⋊C4C2×D7semidirect
746. C4×C4⋊C4C2×D7semidirect
756. #376C2×D7semidirect
757. C43C2×D7semidirect
1526. C7#60040semidirect

Maximal subgroups

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

subgroupindex
C7×#22982
#117397252
#117397202
#117333572
#117333412
#117333262
#117332872
#117332812
#117332322
#117330922
#117329222
#117328832
#117328422
#117328172
#117328152
#117327692
#117325002
#117324592
#117324482
#117312482
#117312282
#117312192
#117311122
#117310342
#117310222
#117309802
#117308702
#117308662
C4×#64372
#117307462
#600407