Finite Group Databasebeta

← #13562096

Subgroups — #13562096

Order 1792.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2643C211yesmaximal, characteristic, complemented
2#11735879C211yesmaximal, characteristic, complemented
3#11735879C211yesmaximal, characteristic, complemented
4#11735837C211yesmaximal, characteristic, complemented
5#11735828C211yesmaximal, characteristic, complemented
6#11735818C211yesmaximal, characteristic, complemented
7#11735809C211yesmaximal, characteristic, complemented
8#11735734C211yesmaximal, characteristic, complemented
9#11735684C211yesmaximal, characteristic, complemented
10#11735145C211yesmaximal, characteristic, complemented
11#11735140C211yesmaximal, characteristic, complemented
12#11735028C211yesmaximal, characteristic, complemented
13#11735026C211yesmaximal, characteristic, complemented
14#11735022C211yesmaximal, characteristic, complemented
15#11735019C211yesmaximal, characteristic, complemented
16#11734876C211yesmaximal, characteristic, complemented
17#11734793C211yesmaximal, characteristic, complemented
18#11732381C211yesmaximal, characteristic, complemented
19#11732336C211yesmaximal, characteristic, complemented
20#11732335C211yesmaximal, characteristic, complemented
21#11732332C211yesmaximal, characteristic
22#11732320C211yesmaximal, characteristic, complemented
23#11732157C211yesmaximal, characteristic, complemented
24#11732100C211yesmaximal, characteristic, complemented
25#11732044C211yesmaximal, characteristic, complemented
26#11732036C211yesmaximal, characteristic, complemented
27#11731909C211yesmaximal, characteristic, complemented
28#11731898C211yesmaximal, characteristic, complemented
29#11731858C211yesmaximal, characteristic, complemented
30C2×#89437C211yesmaximal, characteristic, complemented
31#11730805C211yesmaximal, characteristic, complemented
32C23×D28C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×#6500C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×D4×Dic7C2211yescharacteristic
37C22×(C2×D7)⋊C4C2211yescharacteristic
38C22×(C2×D7)⋊C4C2211yescharacteristic
39C22×(C2×D7)⋊C4C2211yescharacteristic
40C2×#6461C2211yescharacteristic, complemented
41C2×#6460C2211yescharacteristic, complemented
42C2×#6459C2211yescharacteristic, complemented
43C2×#6459C2211yescharacteristic, complemented
44C2×#6457C2211yescharacteristic
45C2×#6457C2211yescharacteristic
46C2×#6449C2211yescharacteristic, complemented
47C2×#6447C2211yescharacteristic
48C2×#6447C2211yescharacteristic
49C2×#6446C2211yescharacteristic, complemented
50C2×#6446C2211yescharacteristic, complemented
51C2×#6446C2211yescharacteristic, complemented
52C2×D7×C22⋊C4C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic
54C2×#6441C2211yescharacteristic
55C7×#401C2211yescharacteristic, complemented
56C7×#400C2211yescharacteristic, complemented
57C7×#400C2211yescharacteristic, complemented
58C7×#400C2211yescharacteristic, complemented
59C7×#397C2211yescharacteristic, complemented
60C7×#397C2211yescharacteristic, complemented
61C7×#397C2211yescharacteristic, complemented
62C7×#396C2211yescharacteristic, complemented
63C7×#386C2211yescharacteristic
64C7×#386C2211yescharacteristic
65C7×#386C2211yescharacteristic
66C7×#385C2211yescharacteristic
67C7×#385C2211yescharacteristic
68C7×#385C2211yescharacteristic
69C2×C7×#95C2211yescharacteristic
70#89992C2211yescharacteristic
71#89984C2211yescharacteristic
72#89984C2211yescharacteristic
73#89982C2211yescharacteristic
74#89982C2211yescharacteristic
75#89982C2211yescharacteristic
76#89982C2211yescharacteristic
77C2×C7⋊#95C2211yescharacteristic
78#89766C2211yescharacteristic, complemented
79#89766C2211yescharacteristic, complemented
80#89766C2211yescharacteristic, complemented
81#89765C2211yescharacteristic, complemented
82#89763C2211yescharacteristic
83#89763C2211yescharacteristic
84#89762C2211yescharacteristic, complemented
85#89761C2211yescharacteristic, complemented
86#89761C2211yescharacteristic, complemented
87#89761C2211yescharacteristic, complemented
88#89761C2211yescharacteristic, complemented
89#89759C2211yescharacteristic, complemented
90#89759C2211yescharacteristic, complemented
91#89759C2211yescharacteristic, complemented
92#89758C2211yescharacteristic, complemented
93#89756C2211yescharacteristic, complemented
94#89749C2211yescharacteristic, complemented
95#89745C2211yescharacteristic, complemented
96#89733C2211yescharacteristic, complemented
97#89733C2211yescharacteristic, complemented
98#89733C2211yescharacteristic, complemented
99#89732C2211yescharacteristic
100#89732C2211yescharacteristic
101#89731C2211yescharacteristic, complemented
102#89730C2211yescharacteristic, complemented
103#89730C2211yescharacteristic, complemented
104#89730C2211yescharacteristic, complemented
105#89729C2211yescharacteristic, complemented
106#89729C2211yescharacteristic, complemented
107#89728C2211yescharacteristic, complemented
108#89728C2211yescharacteristic, complemented
109#89728C2211yescharacteristic, complemented
110#89727C2211yescharacteristic
111#89727C2211yescharacteristic
112#89727C2211yescharacteristic
113#89727C2211yescharacteristic
114#89722C2211yescharacteristic
115#89722C2211yescharacteristic
116#89720C2211yescharacteristic, complemented
117#89719C2211yescharacteristic, complemented
118#89718C2211yescharacteristic
119#89718C2211yescharacteristic, complemented
120#89714C2211yescharacteristic
121#89714C2211yescharacteristic, complemented
122C22⋊C4×Dic7C2211yescharacteristic
123#89449C2211yescharacteristic, complemented
124#89449C2211yescharacteristic, complemented
125#89447C2211yescharacteristic, complemented
126#89447C2211yescharacteristic, complemented
127#89446C2211yescharacteristic, complemented
128#89446C2211yescharacteristic, complemented
129#89446C2211yescharacteristic, complemented
130#89445C2211yescharacteristic, complemented
131#89444C2211yescharacteristic
132#89444C2211yescharacteristic
133#89444C2211yescharacteristic
134#89444C2211yescharacteristic
135#89442C2211yescharacteristic, complemented
136#89442C2211yescharacteristic, complemented
137#89442C2211yescharacteristic, complemented
138#89442C2211yescharacteristic, complemented
139#89442C2211yescharacteristic, complemented
140#89441C2211yescharacteristic, complemented
141#89441C2211yescharacteristic, complemented
142#89441C2211yescharacteristic, complemented
143#89440C2211yescharacteristic, complemented
144#89440C2211yescharacteristic, complemented
145#89440C2211yescharacteristic, complemented
146#89440C2211yescharacteristic, complemented
147#89440C2211yescharacteristic, complemented
148#89440C2211yescharacteristic, complemented
149#89440C2211yescharacteristic, complemented
150#89440C2211yescharacteristic, complemented
151#89440C2211yescharacteristic, complemented
152#89439C2211yescharacteristic, complemented
153#89439C2211yescharacteristic, complemented
154#89439C2211yescharacteristic, complemented
155#89439C2211yescharacteristic, complemented
156#89437C2211yescharacteristic
157#89437C2211yescharacteristic
158#89437C2211yescharacteristic
159#89437C2211yescharacteristic
160#89437C2211yescharacteristic
161#89437C2211yescharacteristic
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89436C2211yescharacteristic, complemented
169#89436C2211yescharacteristic, complemented
170#89436C2211yescharacteristic, complemented
171#89432C2211yescharacteristic, complemented
172#89432C2211yescharacteristic, complemented
173#89432C2211yescharacteristic, complemented
174#89432C2211yescharacteristic, complemented
175#89432C2211yescharacteristic, complemented
176#89432C2211yescharacteristic, complemented
177#89432C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89429C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89429C2211yescharacteristic, complemented
182#89429C2211yescharacteristic, complemented
183#89427C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36775—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C22×D28—24no—
202C22×D28—42no—
203C22×D28—42no—
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×C4×D7—42no—
209C22×C4×D7—42no—
210C22×C4×D7—42no—
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×Dic14C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊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×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242#6500—24no—
243#6500—42no—
244D4×Dic7—42no—
245C2×(C2×D7)⋊C4—42no—
246C2×(C2×D7)⋊C4—42no—
247C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
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×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
311#6461—42no—
312#6460—42no—
313#6459—42no—
314#6459—42no—
315#6457—42no—
316#6457—42no—
317#6449—42no—
318#6447—42no—
319#6447—42no—
320#6446—42no—
321#6446—42no—
322#6446—42no—
323D7×C22⋊C4—24no—
324D7×C22⋊C4—42no—
325#6441—42no—
326C7×#95C2311yescharacteristic
327C7×#95C2311yescharacteristic
328C7×#95C2311yescharacteristic
329C7×#95C2311yescharacteristic
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
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#2849—71no—
371#2848—71no—
372#2782—71no—
373#2750—71no—
374#2746—71no—
375#2746—71no—
376#2743—71no—
377#2728—71no—
378#2708—71no—
379#2708—71no—
380#2706—71no—
381#2696—71no—
382#2695—71no—
383#2693—71no—
384#2693—71no—
385#2691—71no—
386#2687—71no—
387#2681—71no—
388#2646—71no—
389#2643D711yescharacteristic, complemented
390#2505—71no—
391#2480—71no—
392#2450—71no—
393#2437—71no—
394#2418—71no—
395#2412—71no—
396#2410—71no—
397#2405—71no—
398#2321—71no—
399#2315—71no—
400C2×#386—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—22no—
408C23×D7—22no—
409C23×D7—22no—
410C23×D7—41no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7#4114yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C22×Dic7—22no—
459C22×Dic7—22no—
460C22×Dic7—22no—
461C22×Dic7—41no—
462C22×Dic7—41no—
463C22×Dic7—41no—
464C22×Dic7—41no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—22no—
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—416no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
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—416no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×Dic14—22no—
518C2×Dic14—41no—
519C2×Dic14—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4—41no—
525C7×C4⋊C4—41no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
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—22no—
555(C2×D7)⋊C4—22no—
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—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578C4⋊Dic7—22no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586C4⋊Dic7—41no—
587C4⋊Dic7—41no—
588Dic7⋊C4—22no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4—71no—
606C24×C4—71no—
607C2×#126—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#123—71no—
612C2×#123—71no—
613C2×#123—71no—
614C2×C22⋊Q8—71no—
615C2×C22⋊Q8—71no—
616C2×C22⋊Q8—71no—
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#120—71no—
621C2×#120—71no—
622C2×C4×D4—71no—
623C22×C22⋊C4—71no—
624C22×C22⋊C4—71no—
625C22×C22⋊C4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4—71no—
628#401C2×D711yescharacteristic, complemented
629#400—71no—
630#400—71no—
631#400—71no—
632#400—71no—
633#400—71no—
634#400—71no—
635#400—71no—
636#400—71no—
637#400C2×D711yescharacteristic, complemented
638#400C2×D711yescharacteristic, complemented
639#400C2×D711yescharacteristic, complemented
640#399—71no—
641#399—71no—
642#398—71no—
643#398—71no—
644#398—71no—
645#398—71no—
646#398—71no—
647#398—71no—
648#397—71no—
649#397—71no—
650#397—71no—
651#397—71no—
652#397—71no—
653#397—71no—
654#397C2×D711yescharacteristic, complemented
655#397C2×D711yescharacteristic, complemented
656#397C2×D711yescharacteristic, complemented
657#396—71no—
658#396—71no—
659#396—71no—
660#396—71no—
661#396C2×D711yescharacteristic, complemented
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#393—71no—
673#393—71no—
674#392—71no—
675#392—71no—
676#391—71no—
677#390—71no—
678#390—71no—
679#389—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#387—71no—
690#387—71no—
691#387—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386C2×D711yescharacteristic
712#386C2×D711yescharacteristic
713#386C2×D711yescharacteristic
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—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#385C2×D711yescharacteristic
736#385C2×D711yescharacteristic
737#385C2×D711yescharacteristic
738#382—71no—
739#381—71no—
740#381—71no—
741#381—71no—
742#380—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380—71no—
748#380—71no—
749#380—71no—
750#380—71no—
751#380—71no—
752#380—71no—
753#379—71no—
754#379—71no—
755#379—71no—
756#379—71no—
757C4×C22⋊C4—71no—
758C2×#95—71no—
759C2×#95C2×D711yescharacteristic
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×C7C2×#4112yes—
772C23×C7H(5,𝔽2)12yes—
773C23×C72−1+412yes—
774C23×C7C2511yescharacteristic
775C22×D7—28no—
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—21no—
799C22×D7—21no—
800C22×D7—28no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7—44no—
807C22×D7—44no—
808C22×D7—44no—
809C22×D7—82no—
810C22×D7—82no—
811C22×D7—82no—
812C22×D7—82no—
813C22×D7C2×#4112yes—
814C22×D7C2×#4112yes—
815C22×D7H(5,𝔽2)12yes—
816C22×D7H(5,𝔽2)12yes—
817C7×D4—44no—
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—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—44no—
858C2×C4×C7—44no—
859C2×C4×C7—82no—
860C22⋊D7—82no—
861C22⋊D7—82no—
862C22⋊D7—82no—
863C22⋊D7—82no—
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—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—44no—
900C2×Dic7—82no—
901C2×Dic7—82no—
902C2×Dic7H(5,𝔽2)12yes—
903D28—44no—
904D28—44no—
905D28—44no—
906D28—44no—
907C4×D7—44no—
908C4×D7—44no—
909C4×D7—44no—
910C4×D7—44no—
911C4×D7—82no—
912C4×D7—82no—
913C4×D7—82no—
914C4×D7—82no—
915Dic14—82no—
916C25—71no—
917C25—71no—
918C22×Q8—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4—144no—
928C22×D4—282no—
929C22×D4—282no—
930C22×D4C22×D711yescharacteristic
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—71no—
941C23×C4—71no—
942C23×C4—282no—
943C23×C4—282no—
944C23×C4—282no—
945C23×C4C22×D711yescharacteristic
946C23×C4C22×D711yescharacteristic
947C23×C4C22×D711yescharacteristic
948#126—282no—
949#123—282no—
950#123—282no—
951#123—282no—
952#123—282no—
953#123—282no—
954#123—282no—
955C22⋊Q8—282no—
956C22⋊Q8—282no—
957C22⋊Q8—282no—
958C22⋊Q8—282no—
959#121—282no—
960#121—282no—
961#120—144no—
962#120—282no—
963C4×D4—282no—
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—71no—
976C2×C4⋊C4—71no—
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⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
990C2×C4⋊C4C22×D711yescharacteristic
991C2×C4⋊C4C22×D711yescharacteristic
992C2×C4⋊C4C22×D711yescharacteristic
993C2×C4⋊C4C22×D711yescharacteristic
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—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—144no—
1038C2×C22⋊C4—282no—
1039C2×C22⋊C4—282no—
1040C2×C22⋊C4—282no—
1041C2×C22⋊C4—282no—
1042C2×C22⋊C4C22×D711yescharacteristic
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—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#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7#53914yes—
1112C22×C7C22×#4111yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×H(5,𝔽2)11yescharacteristic
1117C22×C7C2×2−1+411yescharacteristic
1118C22×C7#58511yescharacteristic
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—416no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
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—88no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158C4×C7—41no—
1159C4×C7—41no—
1160C4×C7—41no—
1161C4×C7—41no—
1162Dic7—22no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172Dic7—41no—
1173Dic7—41no—
1174C24—71no—
1175C24—71no—
1176C24—71no—
1177C24—71no—
1178C24—74no—
1179C24—142no—
1180C24—142no—
1181C24—142no—
1182C24—142no—
1183C24—142no—
1184C24—142no—
1185C24—142no—
1186C24—281no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24—281no—
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C2×Q8—142no—
1195C2×Q8—281no—
1196C2×Q8—281no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—2816no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—71no—
1245C22×C4—71no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4—281no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—2816no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4—281no—
1278C22×C4—281no—
1279C22×C4—281no—
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C22×C4C23×D711yescharacteristic
1291C22×C4C23×D711yescharacteristic
1292C22×C4C23×D711yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4—281no—
1319C4⋊C4—281no—
1320C4⋊C4—281no—
1321C4⋊C4—281no—
1322C4⋊C4—281no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
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—
1375C42—281no—
1376C42—281no—
1377C42—281no—
1378C2×C7—24no—
1379C2×C7—81no—
1380C2×C7C2×#53911yescharacteristic
1381C2×C7#349011yescharacteristic
1382C2×C7#350511yescharacteristic
1383C2×C7#353211yescharacteristic
1384C2×C7#353411yescharacteristic
1385C2×C7#353511yescharacteristic
1386C2×C7#353611yescharacteristic
1387D7—42no—
1388D7—42no—
1389D7—42no—
1390D7—42no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—72no—
1403C23—72no—
1404C23—72no—
1405C23—72no—
1406C23—148no—
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—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—148no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—284no—
1437C23—284no—
1438C23—284no—
1439C23—284no—
1440C23—562no—
1441C23—562no—
1442C23—562no—
1443C23—562no—
1444C23D7×#4112yes—
1445C23#655312yes—
1446C23#655412yes—
1447C23C24×D711yescharacteristic
1448Q8—562no—
1449D4—44no—
1450D4—284no—
1451D4—284no—
1452D4—284no—
1453D4—284no—
1454D4—562no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
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—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
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—44no—
1498C2×C4—44no—
1499C2×C4—72no—
1500C2×C4—82no—
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—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—284no—
1537C2×C4—284no—
1538C2×C4—284no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—562no—
1542C2×C4—562no—
1543C2×C4—562no—
1544C2×C4—562no—
1545C2×C4—562no—
1546C2×C4—562no—
1547C7#3677511yescharacteristic, complemented, Sylow
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—142no—
1565C22—142no—
1566C22—142no—
1567C22—142no—
1568C22—142no—
1569C22—142no—
1570C22—142no—
1571C22—142no—
1572C22—142no—
1573C22—2816no—
1574C22—281no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—281no—
1590C22—568no—
1591C22#9039814yes—
1592C22C2×D7×#4111yescharacteristic
1593C22C2×#655311yescharacteristic
1594C22C2×#655411yescharacteristic
1595C22D7×H(5,𝔽2)11yescharacteristic
1596C22D7×H(5,𝔽2)11yescharacteristic
1597C22D7×H(5,𝔽2)11yescharacteristic
1598C22#9062011yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—142no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C4—281no—
1623C4—281no—
1624C2—24no—
1625C2—81no—
1626C2—282no—
1627C2—282no—
1628C2—282no—
1629C2—282no—
1630C2C2×#9039811yescharacteristic
1631C2#1174346311yescharacteristic
1632C2#1174348211yescharacteristic
1633C2#1174348611yescharacteristic
1634C2#1174352211yescharacteristic
1635C2#1174352611yescharacteristic
1636C2#1174352911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2643C2
prime radical#11732332C2
hypercenter#2643D7
hypocenterC7#36775
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2643

Complements

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

NH ≅ G/Ntype
1. C7×#2643C2semidirect
2. #11735879C2semidirect
3. #11735879C2semidirect
4. #11735837C2semidirect
5. #11735828C2semidirect
6. #11735818C2semidirect
7. #11735809C2semidirect
8. #11735734C2semidirect
9. #11735684C2semidirect
10. #11735145C2semidirect
11. #11735140C2semidirect
12. #11735028C2semidirect
13. #11735026C2semidirect
14. #11735022C2semidirect
15. #11735019C2semidirect
16. #11734876C2semidirect
17. #11734793C2semidirect
18. #11732381C2semidirect
19. #11732336C2semidirect
20. #11732335C2semidirect
22. #11732320C2semidirect
23. #11732157C2semidirect
24. #11732100C2semidirect
25. #11732044C2semidirect
26. #11732036C2semidirect
27. #11731909C2semidirect
28. #11731898C2semidirect
29. #11731858C2semidirect
30. C2×#89437C2semidirect
31. #11730805C2semidirect
40. C2×#6461C22semidirect
41. C2×#6460C22semidirect
42. C2×#6459C22semidirect
43. C2×#6459C22semidirect
46. C2×#6449C22semidirect
49. C2×#6446C22semidirect
50. C2×#6446C22semidirect
51. C2×#6446C22semidirect
55. C7×#401C22semidirect
56. C7×#400C22semidirect
57. C7×#400C22semidirect
58. C7×#400C22semidirect
59. C7×#397C22semidirect
60. C7×#397C22semidirect
61. C7×#397C22semidirect
62. C7×#396C22semidirect
78. #89766C22semidirect
79. #89766C22semidirect
80. #89766C22semidirect
81. #89765C22semidirect
84. #89762C22semidirect
85. #89761C22semidirect
86. #89761C22semidirect
87. #89761C22semidirect
88. #89761C22semidirect
89. #89759C22semidirect
90. #89759C22semidirect
91. #89759C22semidirect
92. #89758C22semidirect
93. #89756C22semidirect
94. #89749C22semidirect
95. #89745C22semidirect
96. #89733C22semidirect
97. #89733C22semidirect
98. #89733C22semidirect
101. #89731C22semidirect
102. #89730C22semidirect
103. #89730C22semidirect
104. #89730C22semidirect
105. #89729C22semidirect
106. #89729C22semidirect
107. #89728C22semidirect
108. #89728C22semidirect
109. #89728C22semidirect
116. #89720C22semidirect
117. #89719C22semidirect
119. #89718C22semidirect
121. #89714C22semidirect
123. #89449C22semidirect
124. #89449C22semidirect
125. #89447C22semidirect
126. #89447C22semidirect
127. #89446C22semidirect
128. #89446C22semidirect
129. #89446C22semidirect
130. #89445C22semidirect
135. #89442C22semidirect
136. #89442C22semidirect
137. #89442C22semidirect
138. #89442C22semidirect
139. #89442C22semidirect
140. #89441C22semidirect
141. #89441C22semidirect
142. #89441C22semidirect
143. #89440C22semidirect
144. #89440C22semidirect
145. #89440C22semidirect
146. #89440C22semidirect
147. #89440C22semidirect
148. #89440C22semidirect
149. #89440C22semidirect
150. #89440C22semidirect
151. #89440C22semidirect
152. #89439C22semidirect
153. #89439C22semidirect
154. #89439C22semidirect
155. #89439C22semidirect
168. #89436C22semidirect
169. #89436C22semidirect
170. #89436C22semidirect
171. #89432C22semidirect
172. #89432C22semidirect
173. #89432C22semidirect
174. #89432C22semidirect
175. #89432C22semidirect
176. #89432C22semidirect
177. #89432C22semidirect
178. #89429C22semidirect
179. #89429C22semidirect
180. #89429C22semidirect
181. #89429C22semidirect
182. #89429C22semidirect
183. #89427C22semidirect
184. #89427C22semidirect
185. #89426C22semidirect
186. #89418C22semidirect
389. #2643D7semidirect
628. #401C2×D7semidirect
637. #400C2×D7semidirect
638. #400C2×D7semidirect
639. #400C2×D7semidirect
654. #397C2×D7semidirect
655. #397C2×D7semidirect
656. #397C2×D7semidirect
661. #396C2×D7semidirect
1547. C7#36775semidirect

Maximal subgroups

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

subgroupindex
C7×#26432
#117358792
#117358372
#117358282
#117358182
#117358092
#117357342
#117356842
#117351452
#117351402
#117350282
#117350262
#117350222
#117350192
#117348762
#117347932
#117323812
#117323362
#117323352
#117323322
#117323202
#117321572
#117321002
#117320442
#117320362
#117319092
#117318982
#117318582
C2×#894372
#117308052
#367757