Finite Group Databasebeta

← #13562672

Subgroups — #13562672

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×#2549C211yesmaximal, characteristic, complemented
2#11740279C211yesmaximal, characteristic, complemented
3#11740267C211yesmaximal, characteristic, complemented
4#11740214C211yesmaximal, characteristic, complemented
5#11740214C211yesmaximal, characteristic, complemented
6#11735442C211yesmaximal, characteristic, complemented
7#11735424C211yesmaximal, characteristic, complemented
8#11735324C211yesmaximal, characteristic, complemented
9#11735292C211yesmaximal, characteristic, complemented
10#11734714C211yesmaximal, characteristic, complemented
11#11734709C211yesmaximal, characteristic, complemented
12#11734704C211yesmaximal, characteristic, complemented
13#11734667C211yesmaximal, characteristic, complemented
14#11734103C211yesmaximal, characteristic, complemented
15#11734097C211yesmaximal, characteristic, complemented
16#11734095C211yesmaximal, characteristic, complemented
17#11734016C211yesmaximal, characteristic, complemented
18#11733725C211yesmaximal, characteristic, complemented
19#11733713C211yesmaximal, characteristic, complemented
20#11733561C211yesmaximal, characteristic, complemented
21#11733558C211yesmaximal, characteristic, complemented
22#11732101C211yesmaximal, characteristic, complemented
23#11732064C211yesmaximal, characteristic, complemented
24#11731898C211yesmaximal, characteristic, complemented
25#11731898C211yesmaximal, characteristic, complemented
26#11731461C211yesmaximal, characteristic
27#11731319C211yesmaximal, characteristic, complemented
28#11731033C211yesmaximal, characteristic, complemented
29#11731013C211yesmaximal, characteristic, complemented
30C2×#89437C211yesmaximal, characteristic, complemented
31#11730803C211yesmaximal, characteristic, complemented
32C23×D28C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic
35C2×C7×C22⋊Q8C2211yescharacteristic
36C2×#6510C2211yescharacteristic, complemented
37C2×#6510C2211yescharacteristic, complemented
38C2×#6509C2211yescharacteristic, complemented
39C2×#6509C2211yescharacteristic, complemented
40C2×C4×C22⋊D7C2211yescharacteristic
41C22×(C2×D7)⋊C4C2211yescharacteristic
42C22×(C2×D7)⋊C4C2211yescharacteristic
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C2×#6487C2211yescharacteristic
45C2×#6461C2211yescharacteristic, complemented
46C2×#6461C2211yescharacteristic, complemented
47C2×#6458C2211yescharacteristic
48C2×#6458C2211yescharacteristic
49C2×#6457C2211yescharacteristic, complemented
50C2×#6457C2211yescharacteristic, complemented
51C2×#6445C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×#6438C2211yescharacteristic
54C2×#6438C2211yescharacteristic
55C7×#398C2211yescharacteristic, complemented
56C7×#398C2211yescharacteristic, complemented
57C7×#395C2211yescharacteristic, complemented
58C7×#395C2211yescharacteristic, complemented
59C7×#391C2211yescharacteristic, complemented
60C7×#391C2211yescharacteristic, complemented
61C7×#389C2211yescharacteristic, complemented
62C7×#389C2211yescharacteristic, complemented
63C7×#385C2211yescharacteristic
64C7×#385C2211yescharacteristic
65C7×#380C2211yescharacteristic
66C4×C7×C22⋊C4C2211yescharacteristic
67C2×C7×#95C2211yescharacteristic
68#90003C2211yescharacteristic, complemented
69#90003C2211yescharacteristic, complemented
70#90003C2211yescharacteristic, complemented
71#90003C2211yescharacteristic, complemented
72#89985C2211yescharacteristic
73#89985C2211yescharacteristic
74#89984C2211yescharacteristic
75#89984C2211yescharacteristic
76C2×C7⋊#95C2211yescharacteristic
77#89766C2211yescharacteristic, complemented
78#89766C2211yescharacteristic, complemented
79#89766C2211yescharacteristic, complemented
80#89766C2211yescharacteristic, complemented
81#89766C2211yescharacteristic, complemented
82#89766C2211yescharacteristic, complemented
83#89765C2211yescharacteristic, complemented
84#89765C2211yescharacteristic, complemented
85#89765C2211yescharacteristic, complemented
86#89765C2211yescharacteristic, complemented
87#89765C2211yescharacteristic, complemented
88#89765C2211yescharacteristic, complemented
89#89764C2211yescharacteristic, complemented
90#89764C2211yescharacteristic, complemented
91#89763C2211yescharacteristic, complemented
92#89763C2211yescharacteristic, complemented
93#89763C2211yescharacteristic, complemented
94#89763C2211yescharacteristic, complemented
95#89763C2211yescharacteristic, complemented
96#89763C2211yescharacteristic, complemented
97#89762C2211yescharacteristic, complemented
98#89762C2211yescharacteristic, complemented
99#89762C2211yescharacteristic, complemented
100#89762C2211yescharacteristic, complemented
101#89762C2211yescharacteristic, complemented
102#89762C2211yescharacteristic, complemented
103#89761C2211yescharacteristic, complemented
104#89761C2211yescharacteristic, complemented
105#89761C2211yescharacteristic, complemented
106#89761C2211yescharacteristic, complemented
107#89761C2211yescharacteristic, complemented
108#89761C2211yescharacteristic, complemented
109#89760C2211yescharacteristic
110#89760C2211yescharacteristic
111#89760C2211yescharacteristic, complemented
112#89760C2211yescharacteristic, complemented
113#89759C2211yescharacteristic, complemented
114#89759C2211yescharacteristic, complemented
115#89750C2211yescharacteristic, complemented
116#89750C2211yescharacteristic, complemented
117#89744C2211yescharacteristic, complemented
118#89744C2211yescharacteristic, complemented
119#89730C2211yescharacteristic
120#89730C2211yescharacteristic
121#89727C2211yescharacteristic
122#89727C2211yescharacteristic
123#89727C2211yescharacteristic
124#89727C2211yescharacteristic
125#89727C2211yescharacteristic
126#89727C2211yescharacteristic
127#89718C2211yescharacteristic
128#89718C2211yescharacteristic
129#89718C2211yescharacteristic
130#89718C2211yescharacteristic
131C22⋊C4×Dic7C2211yescharacteristic
132C22⋊C4×Dic7C2211yescharacteristic
133#89712C2211yescharacteristic, complemented
134#89712C2211yescharacteristic, complemented
135#89711C2211yescharacteristic
136#89711C2211yescharacteristic
137#89705C2211yescharacteristic, complemented
138#89705C2211yescharacteristic, complemented
139#89449C2211yescharacteristic, complemented
140#89447C2211yescharacteristic, complemented
141#89447C2211yescharacteristic, complemented
142#89447C2211yescharacteristic, complemented
143#89447C2211yescharacteristic, complemented
144#89446C2211yescharacteristic, complemented
145#89446C2211yescharacteristic, complemented
146#89445C2211yescharacteristic, complemented
147#89444C2211yescharacteristic
148#89444C2211yescharacteristic
149#89444C2211yescharacteristic
150#89444C2211yescharacteristic
151#89444C2211yescharacteristic
152#89444C2211yescharacteristic
153#89444C2211yescharacteristic, complemented
154#89444C2211yescharacteristic, complemented
155#89443C2211yescharacteristic
156#89443C2211yescharacteristic
157#89442C2211yescharacteristic, complemented
158#89442C2211yescharacteristic, complemented
159#89441C2211yescharacteristic, complemented
160#89441C2211yescharacteristic, complemented
161#89440C2211yescharacteristic, complemented
162#89440C2211yescharacteristic, complemented
163#89439C2211yescharacteristic, complemented
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89436C2211yescharacteristic, complemented
175#89436C2211yescharacteristic, complemented
176#89436C2211yescharacteristic, complemented
177#89431C2211yescharacteristic, complemented
178#89428C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89423C2211yescharacteristic, complemented
184#89422C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36793—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C22×D28—24no—
199C22×D28—42no—
200C22×D28—42no—
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×C4×D7—42no—
210C22×C4×D7—42no—
211C22×C4×D7—42no—
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×Dic14C2311yescharacteristic
218C7×C22⋊Q8—42no—
219C7×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241#6510—42no—
242#6510—42no—
243#6509—42no—
244#6509—42no—
245C4×C22⋊D7—24no—
246C2×(C2×D7)⋊C4—42no—
247C2×(C2×D7)⋊C4—42no—
248C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303#6487—24no—
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×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320#6461—42no—
321#6461—42no—
322#6458—42no—
323#6458—42no—
324#6457—42no—
325#6457—42no—
326#6445—42no—
327#6445—42no—
328#6438—42no—
329#6438—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#2848—71no—
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#2549D711yescharacteristic, complemented
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×C7C2411yescharacteristic
402C23×D7—22no—
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×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×Q8—22no—
422C2×C7×Q8—41no—
423C2×C7×Q8—41no—
424C2×C7×Q8—41no—
425C2×C7×Q8—41no—
426C2×C7×Q8—41no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7#4114yes—
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C22×Dic7—22no—
454C22×Dic7—22no—
455C22×Dic7—41no—
456C22×Dic7—41no—
457C22×Dic7—41no—
458C22×Dic7—41no—
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C2×D28—22no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—22no—
479C2×D28—22no—
480C2×D28—41no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28—41no—
484C2×D28—416no—
485C2×D28—41no—
486C2×D28—41no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
493C2×D28—41no—
494C2×D28—41no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—416no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×Dic14—22no—
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×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—22no—
530C42×C7—41no—
531C42×C7—41no—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—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—41no—
548(C2×D7)⋊C4—41no—
549(C2×D7)⋊C4—41no—
550(C2×D7)⋊C4—41no—
551(C2×D7)⋊C4—41no—
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—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584C4⋊Dic7—22no—
585C4⋊Dic7—22no—
586C4⋊Dic7—41no—
587C4⋊Dic7—41no—
588C4⋊Dic7—41no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600C4×Dic7—22no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4—71no—
606C24×C4—71no—
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⋊Q8—71no—
618C2×C22⋊Q8C2×D711yescharacteristic
619C2×C22⋊Q8C2×D711yescharacteristic
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#398C2×D711yescharacteristic, complemented
633#398C2×D711yescharacteristic, complemented
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#395C2×D711yescharacteristic, complemented
654#395C2×D711yescharacteristic, complemented
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#391C2×D711yescharacteristic, complemented
679#391C2×D711yescharacteristic, complemented
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#389C2×D711yescharacteristic, complemented
689#389C2×D711yescharacteristic, complemented
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#385—71no—
733#385—71no—
734#385—71no—
735#385—71no—
736#385C2×D711yescharacteristic
737#385C2×D711yescharacteristic
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#380—71no—
747#380—71no—
748#380C2×D711yescharacteristic
749#379—71no—
750#379—71no—
751#379—71no—
752#379—71no—
753#379—71no—
754#379—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4C2×D711yescharacteristic
758C2×#95—71no—
759C2×#95C2×D711yescharacteristic
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7C2×#4112yes—
765C23×C7H(5,𝔽2)12yes—
766C23×C72−1+412yes—
767C23×C7C2511yescharacteristic
768C22×D7—28no—
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—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7—44no—
807C22×D7—44no—
808C22×D7—44no—
809C22×D7—44no—
810C22×D7—44no—
811C22×D7—82no—
812C22×D7—82no—
813C22×D7—82no—
814C22×D7—82no—
815C22×D7H(5,𝔽2)12yes—
816C22×D7H(5,𝔽2)12yes—
817C7×Q8—82no—
818C7×Q8—82no—
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—21no—
858C2×C4×C7—44no—
859C2×C4×C7—44no—
860C2×C4×C7—82no—
861C2×C4×C7C2×#4112yes—
862C2×C4×C7C2×#4112yes—
863C2×C4×C7H(5,𝔽2)12yes—
864C22⋊D7—44no—
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—44no—
899C2×Dic7—82no—
900D28—44no—
901D28—44no—
902D28—44no—
903D28—44no—
904D28—82no—
905D28—82no—
906D28—82no—
907D28—82no—
908C4×D7—44no—
909C4×D7—44no—
910C4×D7—44no—
911C4×D7—44no—
912C4×D7—82no—
913Dic14—82no—
914C25—71no—
915C25—71no—
916C22×Q8—71no—
917C22×Q8C22×D711yescharacteristic
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—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—282no—
939C23×C4—282no—
940C23×C4—282no—
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—144no—
955C22⋊Q8—282no—
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⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—282no—
1043C2×C22⋊C4—282no—
1044C2×C22⋊C4—282no—
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×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
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#54214yes—
1103C22×C7C22×#4111yescharacteristic
1104C22×C7C2×H(5,𝔽2)11yescharacteristic
1105C22×C7C2×H(5,𝔽2)11yescharacteristic
1106C22×C7C2×H(5,𝔽2)11yescharacteristic
1107C22×C7C2×H(5,𝔽2)11yescharacteristic
1108C22×C7C2×2−1+411yescharacteristic
1109C22×C7#58511yescharacteristic
1110C2×D7—22no—
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—416no—
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—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—22no—
1149C4×C7—22no—
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—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172C24—71no—
1173C24—71no—
1174C24—71no—
1175C24—71no—
1176C24—71no—
1177C24—142no—
1178C24—142no—
1179C24—142no—
1180C24—142no—
1181C24—142no—
1182C24—142no—
1183C24—142no—
1184C24—142no—
1185C24—281no—
1186C24—281no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24C23×D711yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×Q8—41no—
1198C2×Q8—142no—
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—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
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—71no—
1247C22×C4—71no—
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—2816no—
1266C22×C4—281no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4#116114yes—
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
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—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
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—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—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—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—41no—
1370C42—41no—
1371C42—142no—
1372C42—281no—
1373C42—281no—
1374C42—281no—
1375C42—281no—
1376C2×C7—24no—
1377C2×C7C2×#54211yescharacteristic
1378C2×C7#349011yescharacteristic
1379C2×C7#350611yescharacteristic
1380C2×C7#353211yescharacteristic
1381C2×C7#353411yescharacteristic
1382C2×C7#353511yescharacteristic
1383C2×C7#353611yescharacteristic
1384D7—42no—
1385D7—42no—
1386D7—81no—
1387D7—81no—
1388D7—81no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—72no—
1394C23—72no—
1395C23—148no—
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—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—284no—
1430C23—284no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—284no—
1437C23—284no—
1438C23—562no—
1439C23—562no—
1440C23—562no—
1441C23—562no—
1442C23#654812yes—
1443C23C2×#116112yes—
1444C23#655112yes—
1445C23C24×D711yescharacteristic
1446Q8—82no—
1447Q8—82no—
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—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—82no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—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—284no—
1534C2×C4—284no—
1535C2×C4—284no—
1536C2×C4—284no—
1537C2×C4—284no—
1538C2×C4—562no—
1539C2×C4—562no—
1540C2×C4C2×#116112yes—
1541C2×C4C2×#116112yes—
1542C2×C4#655312yes—
1543C7#3679311yescharacteristic, complemented, Sylow
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—2816no—
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—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#9042414yes—
1588C22C2×#654811yescharacteristic
1589C22C22×#116111yescharacteristic
1590C22C2×#655111yescharacteristic
1591C22C2×#655311yescharacteristic
1592C22#9061611yescharacteristic
1593C22D7×H(5,𝔽2)11yescharacteristic
1594C22D7×H(5,𝔽2)11yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
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—282no—
1622C2—282no—
1623C2—561no—
1624C2—561no—
1625C2—561no—
1626C2C2×#9042411yescharacteristic
1627C2#1174332711yescharacteristic
1628C2#1174364711yescharacteristic
1629C2#1174371311yescharacteristic
1630C2#1174373511yescharacteristic
1631C2#1174401911yescharacteristic
1632C2#1174402011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2549C2
prime radical#11731461C2
hypercenter#2549D7
hypocenterC7#36793
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2549

Complements

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

NH ≅ G/Ntype
1. C7×#2549C2semidirect
2. #11740279C2semidirect
3. #11740267C2semidirect
4. #11740214C2semidirect
5. #11740214C2semidirect
6. #11735442C2semidirect
7. #11735424C2semidirect
8. #11735324C2semidirect
9. #11735292C2semidirect
10. #11734714C2semidirect
11. #11734709C2semidirect
12. #11734704C2semidirect
13. #11734667C2semidirect
14. #11734103C2semidirect
15. #11734097C2semidirect
16. #11734095C2semidirect
17. #11734016C2semidirect
18. #11733725C2semidirect
19. #11733713C2semidirect
20. #11733561C2semidirect
21. #11733558C2semidirect
22. #11732101C2semidirect
23. #11732064C2semidirect
24. #11731898C2semidirect
25. #11731898C2semidirect
27. #11731319C2semidirect
28. #11731033C2semidirect
29. #11731013C2semidirect
30. C2×#89437C2semidirect
31. #11730803C2semidirect
36. C2×#6510C22semidirect
37. C2×#6510C22semidirect
38. C2×#6509C22semidirect
39. C2×#6509C22semidirect
45. C2×#6461C22semidirect
46. C2×#6461C22semidirect
49. C2×#6457C22semidirect
50. C2×#6457C22semidirect
55. C7×#398C22semidirect
56. C7×#398C22semidirect
57. C7×#395C22semidirect
58. C7×#395C22semidirect
59. C7×#391C22semidirect
60. C7×#391C22semidirect
61. C7×#389C22semidirect
62. C7×#389C22semidirect
68. #90003C22semidirect
69. #90003C22semidirect
70. #90003C22semidirect
71. #90003C22semidirect
77. #89766C22semidirect
78. #89766C22semidirect
79. #89766C22semidirect
80. #89766C22semidirect
81. #89766C22semidirect
82. #89766C22semidirect
83. #89765C22semidirect
84. #89765C22semidirect
85. #89765C22semidirect
86. #89765C22semidirect
87. #89765C22semidirect
88. #89765C22semidirect
89. #89764C22semidirect
90. #89764C22semidirect
91. #89763C22semidirect
92. #89763C22semidirect
93. #89763C22semidirect
94. #89763C22semidirect
95. #89763C22semidirect
96. #89763C22semidirect
97. #89762C22semidirect
98. #89762C22semidirect
99. #89762C22semidirect
100. #89762C22semidirect
101. #89762C22semidirect
102. #89762C22semidirect
103. #89761C22semidirect
104. #89761C22semidirect
105. #89761C22semidirect
106. #89761C22semidirect
107. #89761C22semidirect
108. #89761C22semidirect
111. #89760C22semidirect
112. #89760C22semidirect
113. #89759C22semidirect
114. #89759C22semidirect
115. #89750C22semidirect
116. #89750C22semidirect
117. #89744C22semidirect
118. #89744C22semidirect
133. #89712C22semidirect
134. #89712C22semidirect
137. #89705C22semidirect
138. #89705C22semidirect
139. #89449C22semidirect
140. #89447C22semidirect
141. #89447C22semidirect
142. #89447C22semidirect
143. #89447C22semidirect
144. #89446C22semidirect
145. #89446C22semidirect
146. #89445C22semidirect
153. #89444C22semidirect
154. #89444C22semidirect
157. #89442C22semidirect
158. #89442C22semidirect
159. #89441C22semidirect
160. #89441C22semidirect
161. #89440C22semidirect
162. #89440C22semidirect
163. #89439C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89436C22semidirect
175. #89436C22semidirect
176. #89436C22semidirect
177. #89431C22semidirect
178. #89428C22semidirect
179. #89425C22semidirect
180. #89425C22semidirect
181. #89425C22semidirect
182. #89425C22semidirect
183. #89423C22semidirect
184. #89422C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
391. #2549D7semidirect
632. #398C2×D7semidirect
633. #398C2×D7semidirect
653. #395C2×D7semidirect
654. #395C2×D7semidirect
678. #391C2×D7semidirect
679. #391C2×D7semidirect
688. #389C2×D7semidirect
689. #389C2×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×#25492
#117402792
#117402672
#117402142
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