Finite Group Databasebeta

← #13562666

Subgroups — #13562666

Order 1792.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2848C211yesmaximal, characteristic, complemented
2#11741478C211yesmaximal, characteristic, complemented
3C2×#89985C211yesmaximal, characteristic, complemented
4#11740271C211yesmaximal, characteristic, complemented
5#11740251C211yesmaximal, characteristic, complemented
6#11740249C211yesmaximal, characteristic, complemented
7#11740245C211yesmaximal, characteristic, complemented
8#11740226C211yesmaximal, characteristic, complemented
9#11740214C211yesmaximal, characteristic, complemented
10#11732081C211yesmaximal, characteristic, complemented
11#11732080C211yesmaximal, characteristic, complemented
12#11732066C211yesmaximal, characteristic, complemented
13#11732064C211yesmaximal, characteristic, complemented
14#11732023C211yesmaximal, characteristic, complemented
15#11731997C211yesmaximal, characteristic, complemented
16#11731996C211yesmaximal, characteristic, complemented
17#11731993C211yesmaximal, characteristic, complemented
18#11731974C211yesmaximal, characteristic, complemented
19#11731971C211yesmaximal, characteristic, complemented
20#11731832C211yesmaximal, characteristic, complemented
21#11731828C211yesmaximal, characteristic, complemented
22#11731482C211yesmaximal, characteristic, complemented
23#11731418C211yesmaximal, characteristic, complemented
24#11731416C211yesmaximal, characteristic, complemented
25#11731413C211yesmaximal, characteristic, complemented
26#11731388C211yesmaximal, characteristic, complemented
27#11731354C211yesmaximal, characteristic, complemented
28#11731276C211yesmaximal, characteristic, complemented
29#11731274C211yesmaximal, characteristic, complemented
30#11731272C211yesmaximal, characteristic, complemented
31#11731269C211yesmaximal, characteristic
32C24×C4×C7C2211yescharacteristic
33C23×C22⋊D7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic
35C2×C7×C22⋊Q8C2211yescharacteristic, complemented
36C2×C7×C22⋊Q8C2211yescharacteristic, complemented
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C2×#6510C2211yescharacteristic, complemented
40C2×#6492C2211yescharacteristic, complemented
41C2×#6492C2211yescharacteristic, complemented
42C22×(C2×D7)⋊C4C2211yescharacteristic
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C2×#6461C2211yescharacteristic, complemented
45C2×#6448C2211yescharacteristic
46C2×#6448C2211yescharacteristic
47C2×#6448C2211yescharacteristic, complemented
48C2×#6447C2211yescharacteristic
49C2×#6447C2211yescharacteristic
50C2×#6445C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×#6442C2211yescharacteristic, complemented
53C2×#6441C2211yescharacteristic
54C2×#6441C2211yescharacteristic
55C7×#385C2211yescharacteristic
56C7×#385C2211yescharacteristic
57C7×#385C2211yescharacteristic, complemented
58C7×#385C2211yescharacteristic, complemented
59C7×#385C2211yescharacteristic, complemented
60C7×#385C2211yescharacteristic, complemented
61C7×#380C2211yescharacteristic
62C7×#380C2211yescharacteristic, complemented
63C7×#380C2211yescharacteristic, complemented
64C7×#379C2211yescharacteristic
65C7×#379C2211yescharacteristic
66#90019C2211yescharacteristic
67#90003C2211yescharacteristic, complemented
68#90002C2211yescharacteristic, complemented
69#90001C2211yescharacteristic, complemented
70#89985C2211yescharacteristic
71#89985C2211yescharacteristic
72#89985C2211yescharacteristic
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89985C2211yescharacteristic
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic, complemented
81#89985C2211yescharacteristic, complemented
82#89983C2211yescharacteristic, complemented
83#89983C2211yescharacteristic, complemented
84#89982C2211yescharacteristic
85#89982C2211yescharacteristic
86#89982C2211yescharacteristic, complemented
87#89982C2211yescharacteristic, complemented
88C2×C7⋊#95C2211yescharacteristic
89C2×C7⋊#95C2211yescharacteristic
90#89766C2211yescharacteristic, complemented
91#89766C2211yescharacteristic, complemented
92#89766C2211yescharacteristic, complemented
93#89765C2211yescharacteristic, complemented
94#89765C2211yescharacteristic, complemented
95#89765C2211yescharacteristic, complemented
96#89765C2211yescharacteristic, complemented
97#89764C2211yescharacteristic, complemented
98#89764C2211yescharacteristic, complemented
99#89764C2211yescharacteristic, complemented
100#89763C2211yescharacteristic, complemented
101#89763C2211yescharacteristic, complemented
102#89763C2211yescharacteristic, complemented
103#89763C2211yescharacteristic, complemented
104#89762C2211yescharacteristic, complemented
105#89762C2211yescharacteristic, complemented
106#89762C2211yescharacteristic, complemented
107#89762C2211yescharacteristic, complemented
108#89761C2211yescharacteristic, complemented
109#89760C2211yescharacteristic, complemented
110#89759C2211yescharacteristic, complemented
111#89755C2211yescharacteristic, complemented
112#89753C2211yescharacteristic, complemented
113#89752C2211yescharacteristic, complemented
114#89751C2211yescharacteristic, complemented
115#89751C2211yescharacteristic, complemented
116#89750C2211yescharacteristic, complemented
117#89750C2211yescharacteristic, complemented
118#89749C2211yescharacteristic, complemented
119#89746C2211yescharacteristic, complemented
120#89746C2211yescharacteristic, complemented
121#89745C2211yescharacteristic, complemented
122#89744C2211yescharacteristic, complemented
123#89744C2211yescharacteristic, complemented
124#89744C2211yescharacteristic, complemented
125#89733C2211yescharacteristic
126#89733C2211yescharacteristic
127#89733C2211yescharacteristic, complemented
128#89732C2211yescharacteristic
129#89732C2211yescharacteristic
130#89731C2211yescharacteristic
131#89731C2211yescharacteristic
132#89731C2211yescharacteristic
133#89731C2211yescharacteristic
134#89731C2211yescharacteristic, complemented
135#89730C2211yescharacteristic
136#89730C2211yescharacteristic
137#89729C2211yescharacteristic
138#89729C2211yescharacteristic
139#89729C2211yescharacteristic
140#89729C2211yescharacteristic
141#89729C2211yescharacteristic, complemented
142#89727C2211yescharacteristic
143#89727C2211yescharacteristic
144#89727C2211yescharacteristic
145#89725C2211yescharacteristic, complemented
146#89724C2211yescharacteristic, complemented
147#89724C2211yescharacteristic, complemented
148#89724C2211yescharacteristic, complemented
149#89723C2211yescharacteristic, complemented
150#89723C2211yescharacteristic, complemented
151#89722C2211yescharacteristic
152#89720C2211yescharacteristic, complemented
153#89719C2211yescharacteristic, complemented
154#89718C2211yescharacteristic
155#89717C2211yescharacteristic, complemented
156#89716C2211yescharacteristic, complemented
157#89716C2211yescharacteristic, complemented
158#89714C2211yescharacteristic
159#89714C2211yescharacteristic
160C22⋊C4×Dic7C2211yescharacteristic
161C22⋊C4×Dic7C2211yescharacteristic
162C22⋊C4×Dic7C2211yescharacteristic
163#89448C2211yescharacteristic, complemented
164#89448C2211yescharacteristic, complemented
165#89447C2211yescharacteristic, complemented
166#89447C2211yescharacteristic, complemented
167#89447C2211yescharacteristic, complemented
168#89446C2211yescharacteristic, complemented
169#89445C2211yescharacteristic, complemented
170#89445C2211yescharacteristic, complemented
171#89445C2211yescharacteristic, complemented
172#89444C2211yescharacteristic, complemented
173#89444C2211yescharacteristic, complemented
174#89442C2211yescharacteristic, complemented
175#89442C2211yescharacteristic, complemented
176#89441C2211yescharacteristic, complemented
177#89440C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89427C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89423C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36793—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C23×C4×C7—42no—
192C23×C4×C7—42no—
193C23×C4×C7—42no—
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7—24no—
201C22×C22⋊D7—42no—
202C22×C22⋊D7—42no—
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C22×Dic14C2311yescharacteristic
218C7×C22⋊Q8—42no—
219C7×C22⋊Q8—42no—
220C7×C22⋊Q8—42no—
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242#6516—42no—
243C2×C22⋊Dic7—42no—
244C2×C22⋊Dic7C2311yescharacteristic
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
257#6510—42no—
258#6492—42no—
259#6492—42no—
260C2×(C2×D7)⋊C4—42no—
261C2×(C2×D7)⋊C4—42no—
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319#6461—42no—
320#6448—42no—
321#6448—42no—
322#6448—42no—
323#6447—42no—
324#6447—42no—
325#6445—42no—
326(C22⋊D7)⋊C4—24no—
327#6442—42no—
328#6441—24no—
329#6441—42no—
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#2848D711yescharacteristic, complemented
372#2796—71no—
373#2761—71no—
374#2757—71no—
375#2751—71no—
376#2737—71no—
377#2730—71no—
378#2723—71no—
379#2715—71no—
380#2712—71no—
381#2710—71no—
382#2705—71no—
383#2701—71no—
384#2700—71no—
385#2691—71no—
386#2686—71no—
387#2672—71no—
388#2626—71no—
389#2622—71no—
390#2564—71no—
391#2549—71no—
392#2480—71no—
393#2480—71no—
394#2472—71no—
395#2472—71no—
396#2435—71no—
397#2408—71no—
398#2329—71no—
399#2318—71no—
400C2×#386—71no—
401C24×C7—22no—
402C24×C7—22no—
403C24×C7—22no—
404C24×C7—22no—
405C24×C7—22no—
406C24×C7—41no—
407C24×C7—41no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C24×C7C2411yescharacteristic
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—22no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7—41no—
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×Q8—22no—
422C2×C7×Q8—41no—
423C2×C7×Q8—41no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7—41no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—416no—
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—416no—
477C22×Dic7—22no—
478C22×Dic7—22no—
479C22×Dic7—41no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7—41no—
485C22×Dic7#4114yes—
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C2×D28—41no—
500C2×D28—41no—
501C2×D28—41no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×C4×D7—22no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×Dic14—22no—
509C2×Dic14—41no—
510C2×Dic14—41no—
511C2×Dic14—41no—
512C2×Dic14—41no—
513C2×Dic14—41no—
514C7×C4⋊C4—22no—
515C7×C4⋊C4—41no—
516C7×C4⋊C4—41no—
517C7×C4⋊C4—41no—
518C7×C4⋊C4—41no—
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
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—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—41no—
553(C2×D7)⋊C4—41no—
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—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579C4⋊Dic7—22no—
580C4⋊Dic7—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583Dic7⋊C4—22no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
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—
598C4×Dic7—22no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4—71no—
606C24×C4C2×D711yescharacteristic
607C2×#126—71no—
608C2×#126—71no—
609C2×#124—71no—
610C2×#124—71no—
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×C22⋊Q8—71no—
617C2×C22⋊Q8C2×D711yescharacteristic
618C2×C22⋊Q8C2×D711yescharacteristic, complemented
619C2×C22⋊Q8C2×D711yescharacteristic, complemented
620C2×#121—71no—
621C2×#121—71no—
622C2×#120—71no—
623C2×#120—71no—
624C2×C4×D4—71no—
625C22×C22⋊C4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4—71no—
628#400—71no—
629#399—71no—
630#399—71no—
631#399—71no—
632#398—71no—
633#398—71no—
634#397—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397—71no—
640#397—71no—
641#397—71no—
642#397—71no—
643#397—71no—
644#397—71no—
645#397—71no—
646#396—71no—
647#396—71no—
648#396—71no—
649#396—71no—
650#396—71no—
651#396—71no—
652#395—71no—
653#395—71no—
654#395—71no—
655#394—71no—
656#394—71no—
657#394—71no—
658#394—71no—
659#394—71no—
660#394—71no—
661#394—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#393—71no—
670#393—71no—
671#393—71no—
672#393—71no—
673#393—71no—
674#392—71no—
675#392—71no—
676#391—71no—
677#391—71no—
678#391—71no—
679#391—71no—
680#390—71no—
681#390—71no—
682#390—71no—
683#390—71no—
684#390—71no—
685#390—71no—
686#389—71no—
687#389—71no—
688#389—71no—
689#389—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#387—71no—
708#387—71no—
709#387—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#385C2×D711yescharacteristic
733#385C2×D711yescharacteristic
734#385C2×D711yescharacteristic, complemented
735#385C2×D711yescharacteristic, complemented
736#385C2×D711yescharacteristic, complemented
737#385C2×D711yescharacteristic, complemented
738#383—71no—
739#382—71no—
740#381—71no—
741#381—71no—
742#381—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380C2×D711yescharacteristic
747#380C2×D711yescharacteristic, complemented
748#380C2×D711yescharacteristic, complemented
749#379—71no—
750#379—71no—
751#379—71no—
752#379—71no—
753#379C2×D711yescharacteristic
754#379C2×D711yescharacteristic
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C2×#95—71no—
759C2×#95—71no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—28no—
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—44no—
778C23×C7—44no—
779C23×C7—44no—
780C23×C7—44no—
781C23×C7—44no—
782C23×C7—44no—
783C23×C7C2×#4112yes—
784C23×C7H(5,𝔽2)12yes—
785C23×C7H(5,𝔽2)12yes—
786C23×C7H(5,𝔽2)12yes—
787C23×C72−1+412yes—
788C23×C7C2511yescharacteristic
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—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—44no—
811C22×D7—44no—
812C22×D7—44no—
813C22×D7—82no—
814C22×D7—82no—
815C22×D7—82no—
816C22×D7—82no—
817C7×Q8—82no—
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—44no—
854C2×C4×C7—44no—
855C2×C4×C7—44no—
856C2×C4×C7—44no—
857C2×C4×C7—44no—
858C2×C4×C7—44no—
859C2×C4×C7H(5,𝔽2)12yes—
860C22⋊D7—44no—
861C22⋊D7—44no—
862C22⋊D7—44no—
863C22⋊D7—44no—
864C22⋊D7—44no—
865C22⋊D7—82no—
866C22⋊D7—82no—
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—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—44no—
905C2×Dic7—82no—
906C2×Dic7—82no—
907C2×Dic7C2×#4112yes—
908C2×Dic7C2×#4112yes—
909D28—82no—
910D28—82no—
911C4×D7—82no—
912Dic14—82no—
913Dic14—82no—
914C25—71no—
915C25C22×D711yescharacteristic
916C22×Q8—71no—
917C22×Q8—71no—
918C22×Q8C22×D711yescharacteristic
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—71no—
928C22×D4—144no—
929C22×D4—282no—
930C22×D4—282no—
931C23×C4—42no—
932C23×C4—42no—
933C23×C4—42no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4C22×D711yescharacteristic
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944#126—282no—
945#126—282no—
946#124—282no—
947#124—282no—
948#124—282no—
949#124—282no—
950#123—282no—
951#123—282no—
952C22⋊Q8—42no—
953C22⋊Q8—42no—
954C22⋊Q8—42no—
955C22⋊Q8—144no—
956C22⋊Q8—282no—
957#121—282no—
958#121—282no—
959#120—282no—
960#120—282no—
961C4×D4—144no—
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—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—282no—
1035C2×C22⋊C4—282no—
1036C2×C22⋊C4—282no—
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4C22×D711yescharacteristic
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×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—71no—
1054C2×C42—71no—
1055C2×C42—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#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096C22×C7—22no—
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—416no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7#54214yes—
1118C22×C7C22×#4111yescharacteristic
1119C22×C7C2×H(5,𝔽2)11yescharacteristic
1120C22×C7C2×H(5,𝔽2)11yescharacteristic
1121C22×C7C2×H(5,𝔽2)11yescharacteristic
1122C22×C7C2×H(5,𝔽2)11yescharacteristic
1123C22×C7C2×2−1+411yescharacteristic
1124C22×C7#58511yescharacteristic
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—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—88no—
1147C4×C7—22no—
1148C4×C7—41no—
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—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172C24—22no—
1173C24—22no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—41no—
1178C24—41no—
1179C24—71no—
1180C24—71no—
1181C24—71no—
1182C24—142no—
1183C24—142no—
1184C24—142no—
1185C24—281no—
1186C24—281no—
1187C24—281no—
1188C24—281no—
1189C24C23×D711yescharacteristic
1190C24C23×D711yescharacteristic
1191C24C23×D711yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—142no—
1196C2×Q8—281no—
1197C2×Q8—281no—
1198C2×Q8—281no—
1199C2×Q8—281no—
1200C2×Q8—281no—
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—142no—
1213C2×D4—142no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—2816no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—416no—
1248C22×C4—71no—
1249C22×C4—71no—
1250C22×C4—74no—
1251C22×C4—71no—
1252C22×C4—71no—
1253C22×C4—71no—
1254C22×C4—71no—
1255C22×C4—71no—
1256C22×C4—71no—
1257C22×C4—71no—
1258C22×C4—71no—
1259C22×C4—71no—
1260C22×C4—71no—
1261C22×C4—71no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
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×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—142no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
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—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
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—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
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—281no—
1350C22⋊C4—281no—
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—
1369C42—142no—
1370C42—281no—
1371C42—281no—
1372C42—281no—
1373C42—281no—
1374C42—281no—
1375C42—281no—
1376C2×C7—24no—
1377C2×C7—42no—
1378C2×C7—42no—
1379C2×C7C2×#54211yescharacteristic
1380C2×C7#349011yescharacteristic
1381C2×C7#350611yescharacteristic
1382C2×C7#353211yescharacteristic
1383C2×C7#353411yescharacteristic
1384C2×C7#353511yescharacteristic
1385C2×C7#353611yescharacteristic
1386D7—81no—
1387D7—81no—
1388D7—81no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—28no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
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—141no—
1432C23—141no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—562no—
1437C23—562no—
1438C23—562no—
1439C23—562no—
1440C23#654812yes—
1441C23#654812yes—
1442C23#655112yes—
1443C23D7×#4112yes—
1444C23#655312yes—
1445C23C24×D711yescharacteristic
1446Q8—82no—
1447Q8—562no—
1448Q8—562no—
1449D4—284no—
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—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—72no—
1500C2×C4—72no—
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—141no—
1537C2×C4—141no—
1538C2×C4—284no—
1539C2×C4—562no—
1540C2×C4—562no—
1541C2×C4—562no—
1542C2×C4#654812yes—
1543C7#3679311yescharacteristic, complemented, Sylow
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
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—568no—
1587C22#9033114yes—
1588C22C2×#654811yescharacteristic
1589C22C2×#654811yescharacteristic
1590C22C2×#654811yescharacteristic
1591C22C2×#655111yescharacteristic
1592C22C2×D7×#4111yescharacteristic
1593C22C2×#655311yescharacteristic
1594C22#9061611yescharacteristic
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—142no—
1608C4—142no—
1609C4—281no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—561no—
1624C2—561no—
1625C2—561no—
1626C2#1174298911yescharacteristic
1627C2C2×#9033111yescharacteristic
1628C2#1174305711yescharacteristic
1629C2#1174305811yescharacteristic
1630C2#1174309711yescharacteristic
1631C2#1174311111yescharacteristic
1632C2#1174311811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2848C2
prime radical#11731269C2
hypercenter#2848D7
hypocenterC7#36793
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C7×#2848C2semidirect
2. #11741478C2semidirect
3. C2×#89985C2semidirect
4. #11740271C2semidirect
5. #11740251C2semidirect
6. #11740249C2semidirect
7. #11740245C2semidirect
8. #11740226C2semidirect
9. #11740214C2semidirect
10. #11732081C2semidirect
11. #11732080C2semidirect
12. #11732066C2semidirect
13. #11732064C2semidirect
14. #11732023C2semidirect
15. #11731997C2semidirect
16. #11731996C2semidirect
17. #11731993C2semidirect
18. #11731974C2semidirect
19. #11731971C2semidirect
20. #11731832C2semidirect
21. #11731828C2semidirect
22. #11731482C2semidirect
23. #11731418C2semidirect
24. #11731416C2semidirect
25. #11731413C2semidirect
26. #11731388C2semidirect
27. #11731354C2semidirect
28. #11731276C2semidirect
29. #11731274C2semidirect
30. #11731272C2semidirect
35. C2×C7×C22⋊Q8C22semidirect
36. C2×C7×C22⋊Q8C22semidirect
39. C2×#6510C22semidirect
40. C2×#6492C22semidirect
41. C2×#6492C22semidirect
44. C2×#6461C22semidirect
47. C2×#6448C22semidirect
52. C2×#6442C22semidirect
57. C7×#385C22semidirect
58. C7×#385C22semidirect
59. C7×#385C22semidirect
60. C7×#385C22semidirect
62. C7×#380C22semidirect
63. C7×#380C22semidirect
67. #90003C22semidirect
68. #90002C22semidirect
69. #90001C22semidirect
80. #89985C22semidirect
81. #89985C22semidirect
82. #89983C22semidirect
83. #89983C22semidirect
86. #89982C22semidirect
87. #89982C22semidirect
90. #89766C22semidirect
91. #89766C22semidirect
92. #89766C22semidirect
93. #89765C22semidirect
94. #89765C22semidirect
95. #89765C22semidirect
96. #89765C22semidirect
97. #89764C22semidirect
98. #89764C22semidirect
99. #89764C22semidirect
100. #89763C22semidirect
101. #89763C22semidirect
102. #89763C22semidirect
103. #89763C22semidirect
104. #89762C22semidirect
105. #89762C22semidirect
106. #89762C22semidirect
107. #89762C22semidirect
108. #89761C22semidirect
109. #89760C22semidirect
110. #89759C22semidirect
111. #89755C22semidirect
112. #89753C22semidirect
113. #89752C22semidirect
114. #89751C22semidirect
115. #89751C22semidirect
116. #89750C22semidirect
117. #89750C22semidirect
118. #89749C22semidirect
119. #89746C22semidirect
120. #89746C22semidirect
121. #89745C22semidirect
122. #89744C22semidirect
123. #89744C22semidirect
124. #89744C22semidirect
127. #89733C22semidirect
134. #89731C22semidirect
141. #89729C22semidirect
145. #89725C22semidirect
146. #89724C22semidirect
147. #89724C22semidirect
148. #89724C22semidirect
149. #89723C22semidirect
150. #89723C22semidirect
152. #89720C22semidirect
153. #89719C22semidirect
155. #89717C22semidirect
156. #89716C22semidirect
157. #89716C22semidirect
163. #89448C22semidirect
164. #89448C22semidirect
165. #89447C22semidirect
166. #89447C22semidirect
167. #89447C22semidirect
168. #89446C22semidirect
169. #89445C22semidirect
170. #89445C22semidirect
171. #89445C22semidirect
172. #89444C22semidirect
173. #89444C22semidirect
174. #89442C22semidirect
175. #89442C22semidirect
176. #89441C22semidirect
177. #89440C22semidirect
178. #89436C22semidirect
179. #89430C22semidirect
180. #89427C22semidirect
181. #89425C22semidirect
182. #89424C22semidirect
183. #89424C22semidirect
184. #89424C22semidirect
185. #89423C22semidirect
186. #89418C22semidirect
371. #2848D7semidirect
618. C2×C22⋊Q8C2×D7semidirect
619. C2×C22⋊Q8C2×D7semidirect
734. #385C2×D7semidirect
735. #385C2×D7semidirect
736. #385C2×D7semidirect
737. #385C2×D7semidirect
747. #380C2×D7semidirect
748. #380C2×D7semidirect
1543. C7#36793semidirect

Maximal subgroups

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

subgroupindex
C7×#28482
#117414782
C2×#899852
#117402712
#117402512
#117402492
#117402452
#117402262
#117402142
#117320812
#117320802
#117320662
#117320642
#117320232
#117319972
#117319962
#117319932
#117319742
#117319712
#117318322
#117318282
#117314822
#117314182
#117314162
#117314132
#117313882
#117313542
#117312762
#117312742
#117312722
#117312692
#367937