Finite Group Databasebeta

← #13568305

Subgroups — #13568305

Order 1792.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2759C211yesmaximal, characteristic, complemented
2#11735877C211yesmaximal, characteristic, complemented
3#11735869C211yesmaximal, characteristic, complemented
4#11735119C211yesmaximal, characteristic, complemented
5#11735117C211yesmaximal, characteristic, complemented
6#11735079C211yesmaximal, characteristic, complemented
7#11735073C211yesmaximal, characteristic, complemented
8#11734694C211yesmaximal, characteristic, complemented
9#11734683C211yesmaximal, characteristic, complemented
10#11734317C211yesmaximal, characteristic, complemented
11#11734309C211yesmaximal, characteristic
12#11734292C211yesmaximal, characteristic, complemented
13#11734282C211yesmaximal, characteristic, complemented
14#11734074C211yesmaximal, characteristic, complemented
15#11734072C211yesmaximal, characteristic, complemented
16#11734046C211yesmaximal, characteristic, complemented
17#11734035C211yesmaximal, characteristic, complemented
18#11734033C211yesmaximal, characteristic, complemented
19#11733927C211yesmaximal, characteristic, complemented
20#11733405C211yesmaximal, characteristic, complemented
21#11733288C211yesmaximal, characteristic, complemented
22#11733273C211yesmaximal, characteristic, complemented
23#11733253C211yesmaximal, characteristic, complemented
24#11733241C211yesmaximal, characteristic, complemented
25#11733176C211yesmaximal, characteristic, complemented
26#11732892C211yesmaximal, characteristic, complemented
27D7×#387C211yesmaximal, characteristic, complemented
28#11732717C211yesmaximal, characteristic, complemented
29#11732689C211yesmaximal, characteristic, complemented
30#11731746C211yesmaximal, characteristic, complemented
31#11731732C211yesmaximal, characteristic, complemented
32C22×#1161C2211yescharacteristic
33C2×#6509C2211yescharacteristic
34C2×#6457C2211yescharacteristic
35C2×#6457C2211yescharacteristic
36C2×D7×C4⋊C4C2211yescharacteristic
37C2×D7×C4⋊C4C2211yescharacteristic
38C2×#6447C2211yescharacteristic
39C2×#6447C2211yescharacteristic
40C2×#6446C2211yescharacteristic
41C2×#6446C2211yescharacteristic
42C2×(C22⋊D7)⋊C4C2211yescharacteristic
43C2×#6435C2211yescharacteristic
44C2×C42×D7C2211yescharacteristic
45C7×#401C2211yescharacteristic
46C7×#397C2211yescharacteristic
47C7×#397C2211yescharacteristic
48C7×#395C2211yescharacteristic
49C7×#393C2211yescharacteristic
50C7×#393C2211yescharacteristic
51C7×#391C2211yescharacteristic
52C7×#391C2211yescharacteristic
53C7×#391C2211yescharacteristic
54C7×#388C2211yescharacteristic
55C7×#388C2211yescharacteristic
56C7×#388C2211yescharacteristic
57C7×#387C2211yescharacteristic
58C7×#387C2211yescharacteristic
59C7×#383C2211yescharacteristic
60#90003C2211yescharacteristic
61#90003C2211yescharacteristic
62#90002C2211yescharacteristic
63#90001C2211yescharacteristic
64#90001C2211yescharacteristic
65#90001C2211yescharacteristic
66#89763C2211yescharacteristic
67#89762C2211yescharacteristic
68#89762C2211yescharacteristic
69#89761C2211yescharacteristic
70#89761C2211yescharacteristic
71#89761C2211yescharacteristic
72#89760C2211yescharacteristic
73#89755C2211yescharacteristic
74#89754C2211yescharacteristic
75#89753C2211yescharacteristic
76#89750C2211yescharacteristic
77#89750C2211yescharacteristic
78#89745C2211yescharacteristic
79#89744C2211yescharacteristic
80#89744C2211yescharacteristic
81#89744C2211yescharacteristic
82#89733C2211yescharacteristic
83#89732C2211yescharacteristic
84#89731C2211yescharacteristic
85#89731C2211yescharacteristic
86#89731C2211yescharacteristic
87#89730C2211yescharacteristic
88#89730C2211yescharacteristic
89#89729C2211yescharacteristic
90#89729C2211yescharacteristic
91#89728C2211yescharacteristic
92#89728C2211yescharacteristic
93#89728C2211yescharacteristic
94#89728C2211yescharacteristic
95#89725C2211yescharacteristic
96#89722C2211yescharacteristic
97#89720C2211yescharacteristic
98#89720C2211yescharacteristic
99#89718C2211yescharacteristic
100#89717C2211yescharacteristic
101#89717C2211yescharacteristic
102#89716C2211yescharacteristic
103#89715C2211yescharacteristic
104#89714C2211yescharacteristic
105#89712C2211yescharacteristic
106#89712C2211yescharacteristic
107#89712C2211yescharacteristic
108#89712C2211yescharacteristic
109#89711C2211yescharacteristic
110C4×(C2×D7)⋊C4C2211yescharacteristic
111#89705C2211yescharacteristic
112#89705C2211yescharacteristic
113#89700C2211yescharacteristic
114#89700C2211yescharacteristic
115#89448C2211yescharacteristic
116#89448C2211yescharacteristic
117#89447C2211yescharacteristic
118#89447C2211yescharacteristic
119#89447C2211yescharacteristic
120#89446C2211yescharacteristic
121#89446C2211yescharacteristic
122#89446C2211yescharacteristic
123#89446C2211yescharacteristic
124#89446C2211yescharacteristic
125#89444C2211yescharacteristic
126#89444C2211yescharacteristic
127#89442C2211yescharacteristic
128#89442C2211yescharacteristic
129#89442C2211yescharacteristic
130#89442C2211yescharacteristic
131#89441C2211yescharacteristic
132#89441C2211yescharacteristic
133#89440C2211yescharacteristic
134#89440C2211yescharacteristic
135#89440C2211yescharacteristic
136#89440C2211yescharacteristic
137#89440C2211yescharacteristic
138#89440C2211yescharacteristic
139#89440C2211yescharacteristic
140#89439C2211yescharacteristic
141#89439C2211yescharacteristic
142#89439C2211yescharacteristic
143#89439C2211yescharacteristic
144#89439C2211yescharacteristic
145#89437C2211yescharacteristic
146#89437C2211yescharacteristic
147#89437C2211yescharacteristic
148#89437C2211yescharacteristic
149#89437C2211yescharacteristic
150#89437C2211yescharacteristic
151#89437C2211yescharacteristic
152#89437C2211yescharacteristic
153#89436C2211yescharacteristic
154#89436C2211yescharacteristic
155D7×#95C2211yescharacteristic
156D7×#95C2211yescharacteristic
157D7×#95C2211yescharacteristic
158D7×#95C2211yescharacteristic
159C7⋊#401C2211yescharacteristic
160#89433C2211yescharacteristic
161#89432C2211yescharacteristic
162#89432C2211yescharacteristic
163#89432C2211yescharacteristic
164#89432C2211yescharacteristic
165#89430C2211yescharacteristic
166#89430C2211yescharacteristic
167#89430C2211yescharacteristic
168#89430C2211yescharacteristic
169#89430C2211yescharacteristic
170#89429C2211yescharacteristic
171#89429C2211yescharacteristic
172#89429C2211yescharacteristic
173#89427C2211yescharacteristic
174#89427C2211yescharacteristic
175#89427C2211yescharacteristic
176#89427C2211yescharacteristic
177#89426C2211yescharacteristic
178#89426C2211yescharacteristic
179#89426C2211yescharacteristic
180#89425C2211yescharacteristic
181#89424C2211yescharacteristic
182#89424C2211yescharacteristic
183#89424C2211yescharacteristic
184#89422C2211yescharacteristic
185#89419C2211yescharacteristic
186#89419C2211yescharacteristic
187#36997—71nomaximal, Sylow
188C22×C7×Q8C2311yescharacteristic
189C22×C7×Q8C2311yescharacteristic
190C22×C22⋊D7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C23×Dic7C2311yescharacteristic
194C2×#1161—24no—
195C2×#1161—42no—
196C2×#1161—42no—
197C22×D28C2311yescharacteristic
198C22×D28C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×C4×D7C2311yescharacteristic
201C22×C4×D7C2311yescharacteristic
202C22×C4×D7C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C2×C7×C4⋊C4C2311yescharacteristic
210C2×C7×C4⋊C4C2311yescharacteristic
211C2×C7×C4⋊C4C2311yescharacteristic
212C2×C7×C4⋊C4C2311yescharacteristic
213C2×C7×C4⋊C4C2311yescharacteristic
214C2×C7×C22⋊C4C2311yescharacteristic
215C2×C7×C22⋊C4C2311yescharacteristic
216C2×C7×C22⋊C4C2311yescharacteristic
217C2×C7×C22⋊C4C2311yescharacteristic
218C2×C7×C22⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C42×C7C2311yescharacteristic
222C2×C42×C7C2311yescharacteristic
223C2×C42×C7C2311yescharacteristic
224C2×C22⋊Dic7C2311yescharacteristic
225C2×C22⋊Dic7C2311yescharacteristic
226C2×C22⋊Dic7C2311yescharacteristic
227C2×C22⋊Dic7C2311yescharacteristic
228#6509—42no—
229C2×(C2×D7)⋊C4C2311yescharacteristic
230C2×(C2×D7)⋊C4C2311yescharacteristic
231C2×(C2×D7)⋊C4C2311yescharacteristic
232C2×(C2×D7)⋊C4C2311yescharacteristic
233C2×(C2×D7)⋊C4C2311yescharacteristic
234C2×(C2×D7)⋊C4C2311yescharacteristic
235C2×(C2×D7)⋊C4C2311yescharacteristic
236C2×(C2×D7)⋊C4C2311yescharacteristic
237C2×(C2×D7)⋊C4C2311yescharacteristic
238C2×(C2×D7)⋊C4C2311yescharacteristic
239C2×(C2×D7)⋊C4C2311yescharacteristic
240C2×(C2×D7)⋊C4C2311yescharacteristic
241C2×(C2×D7)⋊C4C2311yescharacteristic
242C2×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×C4⋊Dic7C2311yescharacteristic
257C2×C4⋊Dic7C2311yescharacteristic
258C2×C4⋊Dic7C2311yescharacteristic
259C2×C4⋊Dic7C2311yescharacteristic
260C2×C4⋊Dic7C2311yescharacteristic
261C2×C4⋊Dic7C2311yescharacteristic
262C2×C4⋊Dic7C2311yescharacteristic
263C2×C4⋊Dic7C2311yescharacteristic
264C2×Dic7⋊C4C2311yescharacteristic
265C2×Dic7⋊C4C2311yescharacteristic
266C2×Dic7⋊C4C2311yescharacteristic
267C2×Dic7⋊C4C2311yescharacteristic
268C2×Dic7⋊C4C2311yescharacteristic
269C2×Dic7⋊C4C2311yescharacteristic
270C2×Dic7⋊C4C2311yescharacteristic
271C2×Dic7⋊C4C2311yescharacteristic
272C2×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×Dic7⋊C4C2311yescharacteristic
276C2×Dic7⋊C4C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×Dic7⋊C4C2311yescharacteristic
280C2×Dic7⋊C4C2311yescharacteristic
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×C4×Dic7C2311yescharacteristic
286C2×C4×Dic7C2311yescharacteristic
287C2×C4×Dic7C2311yescharacteristic
288C2×C4×Dic7C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291#6457—42no—
292#6457—42no—
293D7×C4⋊C4—24no—
294D7×C4⋊C4—42no—
295#6447—42no—
296#6447—42no—
297#6446—24no—
298#6446—42no—
299(C22⋊D7)⋊C4—42no—
300#6435—42no—
301C42×D7—42no—
302C7×#95C2311yescharacteristic
303C7×#95C2311yescharacteristic
304C7×#95C2311yescharacteristic
305C7×#95C2311yescharacteristic
306C7×#95C2311yescharacteristic
307C7×#95C2311yescharacteristic
308C7×#95C2311yescharacteristic
309C7×#95C2311yescharacteristic
310C7×#95C2311yescharacteristic
311C7×#95C2311yescharacteristic
312C7×#95C2311yescharacteristic
313C7×#95C2311yescharacteristic
314C7×#95C2311yescharacteristic
315C7×#95C2311yescharacteristic
316C7×#95C2311yescharacteristic
317C7×#95C2311yescharacteristic
318C7×#95C2311yescharacteristic
319C7×#95C2311yescharacteristic
320C7⋊#95C2311yescharacteristic
321C7⋊#95C2311yescharacteristic
322C7⋊#95C2311yescharacteristic
323C7⋊#95C2311yescharacteristic
324C7⋊#95C2311yescharacteristic
325C7⋊#95C2311yescharacteristic
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
358#2854—71no—
359#2853—71no—
360#2808—71no—
361#2805—71no—
362#2803—71no—
363#2800—71no—
364#2797—71no—
365#2788—71no—
366#2787—71no—
367#2787—71no—
368#2786—71no—
369#2784—71no—
370#2781—71no—
371#2774—71no—
372#2770—71no—
373#2759D711yescharacteristic, complemented
374#2750—71no—
375#2745—71no—
376#2643—71no—
377#2639—71no—
378#2510—71no—
379#2488—71no—
380#2444—71no—
381#2438—71no—
382#2430—71no—
383#2425—71no—
384#2413—71no—
385#2406—71no—
386#2322—71no—
387#2311—71no—
388C2×#387—71no—
389C24×C7C2411yescharacteristic
390C23×D7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C23×D7C2411yescharacteristic
393C2×C7×Q8—22no—
394C2×C7×Q8—41no—
395C2×C7×Q8—41no—
396C2×C7×Q8—41no—
397C2×C7×Q8—41no—
398C2×C7×Q8—41no—
399C22×C4×C7C2411yescharacteristic
400C22×C4×C7C2411yescharacteristic
401C22×C4×C7C2411yescharacteristic
402C22×C4×C7C2411yescharacteristic
403C22×C4×C7C2411yescharacteristic
404C22×C4×C7C2411yescharacteristic
405C22×C4×C7C2411yescharacteristic
406C22×C4×C7C2411yescharacteristic
407C22×C4×C7C2411yescharacteristic
408C22×C4×C7C2411yescharacteristic
409C22×C4×C7C2411yescharacteristic
410C22×C4×C7C2411yescharacteristic
411C22×C4×C7C2411yescharacteristic
412C22×C4×C7C2411yescharacteristic
413C2×C22⋊D7—22no—
414C2×C22⋊D7—22no—
415C2×C22⋊D7—22no—
416C2×C22⋊D7—22no—
417C2×C22⋊D7—41no—
418C2×C22⋊D7—41no—
419C2×C22⋊D7—41no—
420C2×C22⋊D7—41no—
421C2×C22⋊D7—41no—
422C22×Dic7—41no—
423C22×Dic7—41no—
424C22×Dic7—41no—
425C22×Dic7C2411yescharacteristic
426C22×Dic7C2411yescharacteristic
427C22×Dic7C2411yescharacteristic
428C22×Dic7C2411yescharacteristic
429C22×Dic7C2411yescharacteristic
430C22×Dic7C2411yescharacteristic
431C22×Dic7C2411yescharacteristic
432C22×Dic7C2411yescharacteristic
433C22×Dic7C2411yescharacteristic
434C22×Dic7C2411yescharacteristic
435C22×Dic7C2411yescharacteristic
436C22×Dic7C2411yescharacteristic
437C22×Dic7C2411yescharacteristic
438#1161—416no—
439C2×D28—22no—
440C2×D28—22no—
441C2×D28—22no—
442C2×D28—22no—
443C2×D28—22no—
444C2×D28—22no—
445C2×D28—22no—
446C2×D28—41no—
447C2×D28—41no—
448C2×C4×D7—22no—
449C2×C4×D7—22no—
450C2×C4×D7—22no—
451C2×C4×D7—22no—
452C2×C4×D7—22no—
453C2×C4×D7—22no—
454C2×C4×D7—22no—
455C2×C4×D7—22no—
456C2×C4×D7—22no—
457C2×C4×D7—22no—
458C2×C4×D7—22no—
459C2×C4×D7—22no—
460C2×C4×D7—22no—
461C2×C4×D7—41no—
462C2×C4×D7—41no—
463C2×C4×D7—41no—
464C2×C4×D7—41no—
465C2×C4×D7—41no—
466C2×C4×D7—41no—
467C2×C4×D7—41no—
468C2×C4×D7—41no—
469C2×C4×D7—41no—
470C2×C4×D7—41no—
471C2×C4×D7—41no—
472C2×C4×D7—41no—
473C2×C4×D7—41no—
474C2×C4×D7#4114yes—
475C7×C4⋊C4—22no—
476C7×C4⋊C4—41no—
477C7×C4⋊C4—41no—
478C7×C4⋊C4—41no—
479C7×C4⋊C4—41no—
480C7×C22⋊C4—22no—
481C7×C22⋊C4—41no—
482C7×C22⋊C4—41no—
483C7×C22⋊C4—41no—
484C7×C22⋊C4—41no—
485C7×C22⋊C4—41no—
486C7×C22⋊C4—41no—
487C42×C7—41no—
488C42×C7—41no—
489C42×C7—41no—
490C22⋊Dic7—22no—
491C22⋊Dic7—41no—
492C22⋊Dic7—41no—
493C22⋊Dic7—41no—
494(C2×D7)⋊C4—22no—
495(C2×D7)⋊C4—22no—
496(C2×D7)⋊C4—22no—
497(C2×D7)⋊C4—22no—
498(C2×D7)⋊C4—22no—
499(C2×D7)⋊C4—22no—
500(C2×D7)⋊C4—41no—
501(C2×D7)⋊C4—41no—
502(C2×D7)⋊C4—41no—
503(C2×D7)⋊C4—41no—
504(C2×D7)⋊C4—41no—
505(C2×D7)⋊C4—41no—
506(C2×D7)⋊C4—41no—
507(C2×D7)⋊C4—41no—
508(C2×D7)⋊C4—41no—
509(C2×D7)⋊C4—41no—
510(C2×D7)⋊C4—41no—
511(C2×D7)⋊C4—41no—
512(C2×D7)⋊C4—41no—
513(C2×D7)⋊C4—41no—
514(C2×D7)⋊C4—41no—
515(C2×D7)⋊C4—41no—
516(C2×D7)⋊C4—41no—
517(C2×D7)⋊C4—41no—
518(C2×D7)⋊C4—41no—
519(C2×D7)⋊C4—41no—
520(C2×D7)⋊C4—41no—
521C4⋊Dic7—22no—
522C4⋊Dic7—22no—
523C4⋊Dic7—41no—
524C4⋊Dic7—41no—
525C4⋊Dic7—41no—
526C4⋊Dic7—41no—
527C4⋊Dic7—41no—
528C4⋊Dic7—41no—
529Dic7⋊C4—22no—
530Dic7⋊C4—22no—
531Dic7⋊C4—22no—
532Dic7⋊C4—22no—
533Dic7⋊C4—22no—
534Dic7⋊C4—41no—
535Dic7⋊C4—41no—
536Dic7⋊C4—41no—
537Dic7⋊C4—41no—
538Dic7⋊C4—41no—
539Dic7⋊C4—41no—
540Dic7⋊C4—41no—
541Dic7⋊C4—41no—
542Dic7⋊C4—41no—
543Dic7⋊C4—41no—
544Dic7⋊C4—41no—
545Dic7⋊C4—41no—
546Dic7⋊C4—41no—
547Dic7⋊C4—41no—
548Dic7⋊C4—41no—
549Dic7⋊C4—41no—
550C4×Dic7—41no—
551C4×Dic7—41no—
552C4×Dic7—41no—
553C4×Dic7—41no—
554C4×Dic7—41no—
555C4×Dic7—41no—
556C22×#41—71no—
557C2×#123—71no—
558C2×#123—71no—
559C2×#123—71no—
560C2×#123—71no—
561C2×C22⋊Q8—71no—
562C2×#121—71no—
563C2×#121—71no—
564C2×C4×D4—71no—
565C2×#117—71no—
566C22×C4⋊C4—71no—
567C22×C4⋊C4—71no—
568C22×C42—71no—
569#401—71no—
570#401C2×D711yescharacteristic
571#400—71no—
572#400—71no—
573#400—71no—
574#400—71no—
575#400—71no—
576#400—71no—
577#400—71no—
578#400—71no—
579#400—71no—
580#400—71no—
581#398—71no—
582#398—71no—
583#398—71no—
584#398—71no—
585#398—71no—
586#397—71no—
587#397—71no—
588#397—71no—
589#397—71no—
590#397—71no—
591#397—71no—
592#397—71no—
593#397—71no—
594#397—71no—
595#397C2×D711yescharacteristic
596#397C2×D711yescharacteristic
597#396—71no—
598#396—71no—
599#396—71no—
600#396—71no—
601#395—71no—
602#395—71no—
603#395—71no—
604#395C2×D711yescharacteristic
605#394—71no—
606#394—71no—
607#394—71no—
608#394—71no—
609#394—71no—
610#394—71no—
611#394—71no—
612#393—71no—
613#393—71no—
614#393C2×D711yescharacteristic
615#393C2×D711yescharacteristic
616#392—71no—
617#391—71no—
618#391C2×D711yescharacteristic
619#391C2×D711yescharacteristic
620#391C2×D711yescharacteristic
621#390—71no—
622#390—71no—
623#390—71no—
624#390—71no—
625#389—71no—
626#389—71no—
627#389—71no—
628#389—71no—
629#389—71no—
630#389—71no—
631#389—71no—
632#389—71no—
633#388—71no—
634#388—71no—
635#388—71no—
636#388—71no—
637#388—71no—
638#388—71no—
639#388—71no—
640#388—71no—
641#388—71no—
642#388—71no—
643#388—71no—
644#388—71no—
645#388—71no—
646#388—71no—
647#388—71no—
648#388C2×D711yescharacteristic
649#388C2×D711yescharacteristic
650#388C2×D711yescharacteristic
651#387—71no—
652#387—71no—
653#387—71no—
654#387—71no—
655#387—71no—
656#387—71no—
657#387—71no—
658#387—71no—
659#387—71no—
660#387—71no—
661#387—71no—
662#387—71no—
663#387—71no—
664#387—71no—
665#387—71no—
666#387—71no—
667#387C2×D711yescharacteristic
668#387C2×D711yescharacteristic
669#386—71no—
670#386—71no—
671#386—71no—
672#386—71no—
673#386—71no—
674#386—71no—
675#386—71no—
676#386—71no—
677#386—71no—
678#386—71no—
679#386—71no—
680#386—71no—
681#386—71no—
682#386—71no—
683#385—71no—
684#385—71no—
685#385—71no—
686#385—71no—
687#385—71no—
688#385—71no—
689#385—71no—
690#385—71no—
691#385—71no—
692#385—71no—
693#385—71no—
694#385—71no—
695#383C2×D711yescharacteristic
696#382—71no—
697#381—71no—
698#381—71no—
699#381—71no—
700#380—71no—
701#380—71no—
702#380—71no—
703#380—71no—
704#380—71no—
705#380—71no—
706C4×C22⋊C4—71no—
707C2×#95—71no—
708C2×#95—71no—
709C2×#95—71no—
710C2×#95—71no—
711C23×C7—21no—
712C23×C7—21no—
713C23×C7—21no—
714C23×C7—21no—
715C23×C7—21no—
716C23×C7—21no—
717C23×C7—21no—
718C23×C7C2511yescharacteristic
719C22×D7—21no—
720C22×D7—21no—
721C22×D7—21no—
722C22×D7—21no—
723C22×D7—21no—
724C22×D7—21no—
725C22×D7—21no—
726C22×D7—21no—
727C22×D7—21no—
728C22×D7—21no—
729C22×D7—21no—
730C22×D7—21no—
731C22×D7—21no—
732C22×D7—21no—
733C22×D7—21no—
734C22×D7—21no—
735C22×D7—21no—
736C22×D7—21no—
737C22×D7C2×#4112yes—
738C22×D7H(5,𝔽2)12yes—
739C22×D7H(5,𝔽2)12yes—
740C7×Q8—44no—
741C7×Q8—82no—
742C2×C4×C7—21no—
743C2×C4×C7—21no—
744C2×C4×C7—21no—
745C2×C4×C7—21no—
746C2×C4×C7—21no—
747C2×C4×C7—21no—
748C2×C4×C7—21no—
749C2×C4×C7—21no—
750C2×C4×C7—21no—
751C2×C4×C7—21no—
752C2×C4×C7—21no—
753C2×C4×C7—21no—
754C2×C4×C7—21no—
755C2×C4×C7—21no—
756C2×C4×C7—21no—
757C2×C4×C7—21no—
758C2×C4×C7—21no—
759C2×C4×C7—21no—
760C2×C4×C7—21no—
761C2×C4×C7—21no—
762C2×C4×C7—21no—
763C2×C4×C7—21no—
764C2×C4×C7—21no—
765C2×C4×C7—21no—
766C2×C4×C7—21no—
767C2×C4×C7—21no—
768C2×C4×C7—21no—
769C2×C4×C7—21no—
770C2×C4×C7—21no—
771C2×C4×C7—21no—
772C2×C4×C7—21no—
773C2×C4×C7—21no—
774C2×C4×C7—21no—
775C2×C4×C7—21no—
776C2×C4×C7—21no—
777C2×C4×C7—21no—
778C2×C4×C7—21no—
779C2×C4×C7—21no—
780C2×C4×C7—21no—
781C2×C4×C7—21no—
782C2×C4×C7—21no—
783C2×C4×C7C2×#4112yes—
784C22⋊D7—44no—
785C22⋊D7—82no—
786C22⋊D7—82no—
787C2×Dic7—21no—
788C2×Dic7—21no—
789C2×Dic7—21no—
790C2×Dic7—21no—
791C2×Dic7—21no—
792C2×Dic7—21no—
793C2×Dic7—21no—
794C2×Dic7—21no—
795C2×Dic7—21no—
796C2×Dic7—21no—
797C2×Dic7—21no—
798C2×Dic7—21no—
799C2×Dic7—21no—
800C2×Dic7—21no—
801C2×Dic7—21no—
802C2×Dic7—21no—
803C2×Dic7—21no—
804C2×Dic7—21no—
805C2×Dic7—21no—
806C2×Dic7—21no—
807C2×Dic7—21no—
808C2×Dic7—21no—
809C2×Dic7—21no—
810C2×Dic7—21no—
811C2×Dic7—21no—
812C2×Dic7—21no—
813C2×Dic7—21no—
814C2×Dic7—21no—
815C2×Dic7—21no—
816C2×Dic7—21no—
817C2×Dic7—21no—
818C2×Dic7—21no—
819C2×Dic7—21no—
820C2×Dic7—21no—
821C2×Dic7—21no—
822C2×Dic7—21no—
823C2×Dic7—21no—
824C2×Dic7—82no—
825C2×Dic7C2×#4112yes—
826C2×Dic72−1+412yes—
827D28—44no—
828D28—44no—
829D28—44no—
830C4×D7—28no—
831C4×D7—44no—
832C4×D7—44no—
833C4×D7—44no—
834C4×D7—44no—
835C4×D7—44no—
836C4×D7—44no—
837C4×D7—82no—
838C4×D7—82no—
839C2×#41—144no—
840C2×#41—282no—
841C2×#41—282no—
842C22×Q8C22×D711yescharacteristic
843C22×Q8C22×D711yescharacteristic
844C22×D4—71no—
845C22×D4—71no—
846C22×D4—71no—
847C22×D4—71no—
848C22×D4—71no—
849C22×D4—71no—
850C23×C4—71no—
851C23×C4—71no—
852C23×C4—71no—
853C23×C4—71no—
854C23×C4—71no—
855C23×C4—71no—
856C23×C4—71no—
857C23×C4—71no—
858C23×C4—71no—
859C23×C4—71no—
860#123—144no—
861#123—282no—
862#123—282no—
863#123—282no—
864C22⋊Q8—282no—
865#121—282no—
866#121—282no—
867C4×D4—282no—
868#117—282no—
869C2×C4⋊C4—71no—
870C2×C4⋊C4—71no—
871C2×C4⋊C4—71no—
872C2×C4⋊C4—71no—
873C2×C4⋊C4—71no—
874C2×C4⋊C4—71no—
875C2×C4⋊C4—71no—
876C2×C4⋊C4—71no—
877C2×C4⋊C4—71no—
878C2×C4⋊C4—71no—
879C2×C4⋊C4—71no—
880C2×C4⋊C4—71no—
881C2×C4⋊C4—71no—
882C2×C4⋊C4—71no—
883C2×C4⋊C4—71no—
884C2×C4⋊C4—71no—
885C2×C4⋊C4—71no—
886C2×C4⋊C4—71no—
887C2×C4⋊C4—71no—
888C2×C4⋊C4—71no—
889C2×C4⋊C4—71no—
890C2×C4⋊C4—71no—
891C2×C4⋊C4—71no—
892C2×C4⋊C4—71no—
893C2×C4⋊C4—71no—
894C2×C4⋊C4—71no—
895C2×C4⋊C4—71no—
896C2×C4⋊C4—71no—
897C2×C4⋊C4—71no—
898C2×C4⋊C4—144no—
899C2×C4⋊C4—282no—
900C2×C4⋊C4C22×D711yescharacteristic
901C2×C4⋊C4C22×D711yescharacteristic
902C2×C4⋊C4C22×D711yescharacteristic
903C2×C4⋊C4C22×D711yescharacteristic
904C2×C4⋊C4C22×D711yescharacteristic
905C2×C22⋊C4—71no—
906C2×C22⋊C4—71no—
907C2×C22⋊C4—71no—
908C2×C22⋊C4—71no—
909C2×C22⋊C4—71no—
910C2×C22⋊C4—71no—
911C2×C22⋊C4—71no—
912C2×C22⋊C4—71no—
913C2×C22⋊C4—71no—
914C2×C22⋊C4—71no—
915C2×C22⋊C4—71no—
916C2×C22⋊C4—71no—
917C2×C22⋊C4—71no—
918C2×C22⋊C4—71no—
919C2×C22⋊C4—71no—
920C2×C22⋊C4—71no—
921C2×C22⋊C4—71no—
922C2×C22⋊C4—71no—
923C2×C22⋊C4—71no—
924C2×C22⋊C4—71no—
925C2×C22⋊C4—71no—
926C2×C22⋊C4—71no—
927C2×C22⋊C4—71no—
928C2×C22⋊C4—71no—
929C2×C22⋊C4—71no—
930C2×C22⋊C4—71no—
931C2×C22⋊C4—71no—
932C2×C22⋊C4—71no—
933C2×C22⋊C4—71no—
934C2×C22⋊C4—71no—
935C2×C22⋊C4—71no—
936C2×C22⋊C4C22×D711yescharacteristic
937C2×C22⋊C4C22×D711yescharacteristic
938C2×C22⋊C4C22×D711yescharacteristic
939C2×C22⋊C4C22×D711yescharacteristic
940C2×C22⋊C4C22×D711yescharacteristic
941C2×C22⋊C4C22×D711yescharacteristic
942C2×C22⋊C4C22×D711yescharacteristic
943C2×C42—71no—
944C2×C42—71no—
945C2×C42—71no—
946C2×C42—71no—
947C2×C42—71no—
948C2×C42—71no—
949C2×C42—282no—
950C2×C42C22×D711yescharacteristic
951C2×C42C22×D711yescharacteristic
952C2×C42C22×D711yescharacteristic
953#95—71no—
954#95—71no—
955#95—71no—
956#95—71no—
957#95—71no—
958#95—71no—
959#95—71no—
960#95—71no—
961#95—71no—
962#95—71no—
963#95—71no—
964#95—71no—
965#95—71no—
966#95—71no—
967#95—71no—
968#95—71no—
969#95—71no—
970#95—71no—
971#95—71no—
972#95—71no—
973#95—71no—
974#95—71no—
975#95—71no—
976#95—71no—
977#95—71no—
978#95—71no—
979#95—71no—
980#95—71no—
981#95—71no—
982#95—71no—
983#95—71no—
984#95—71no—
985#95—71no—
986#95—71no—
987#95—71no—
988#95—71no—
989#95—71no—
990#95—71no—
991#95C22×D711yescharacteristic
992#95C22×D711yescharacteristic
993#95C22×D711yescharacteristic
994#95C22×D711yescharacteristic
995#95C22×D711yescharacteristic
996#95C22×D711yescharacteristic
997#95C22×D711yescharacteristic
998#95C22×D711yescharacteristic
999#95C22×D711yescharacteristic
1000#95C22×D711yescharacteristic
1001#95C22×D711yescharacteristic
1002#95C22×D711yescharacteristic
1003#95C22×D711yescharacteristic
1004#95C22×D711yescharacteristic
1005#95C22×D711yescharacteristic
1006#95C22×D711yescharacteristic
1007#95C22×D711yescharacteristic
1008#95C22×D711yescharacteristic
1009C22×C7—41no—
1010C22×C7—41no—
1011C22×C7—41no—
1012C22×C7—41no—
1013C22×C7—41no—
1014C22×C7—41no—
1015C22×C7—41no—
1016C22×C7C22×#4111yescharacteristic
1017C22×C7C2×H(5,𝔽2)11yescharacteristic
1018C22×C7C2×H(5,𝔽2)11yescharacteristic
1019C22×C7C2×2−1+411yescharacteristic
1020C22×C7#58511yescharacteristic
1021C22×C7#58511yescharacteristic
1022C22×C7#58511yescharacteristic
1023C2×D7—22no—
1024C2×D7—22no—
1025C2×D7—22no—
1026C2×D7—22no—
1027C2×D7—22no—
1028C2×D7—22no—
1029C2×D7—41no—
1030C2×D7—41no—
1031C2×D7—41no—
1032C2×D7—41no—
1033C2×D7—41no—
1034C2×D7—41no—
1035C2×D7—41no—
1036C2×D7—41no—
1037C2×D7—41no—
1038C2×D7—41no—
1039C2×D7—41no—
1040C2×D7—41no—
1041C2×D7—41no—
1042C2×D7—41no—
1043C2×D7#53814yes—
1044C4×C7—22no—
1045C4×C7—41no—
1046C4×C7—41no—
1047C4×C7—41no—
1048C4×C7—41no—
1049C4×C7—41no—
1050C4×C7—41no—
1051C4×C7—41no—
1052C4×C7—41no—
1053C4×C7—41no—
1054C4×C7—41no—
1055C4×C7—41no—
1056C4×C7—41no—
1057C4×C7—41no—
1058Dic7—22no—
1059Dic7—22no—
1060Dic7—41no—
1061Dic7—41no—
1062Dic7—41no—
1063Dic7—41no—
1064Dic7—41no—
1065Dic7—41no—
1066Dic7—41no—
1067Dic7—41no—
1068Dic7—41no—
1069Dic7—41no—
1070Dic7—41no—
1071C24—71no—
1072C24—71no—
1073C24—71no—
1074C24C23×D711yescharacteristic
1075#41—2816no—
1076C2×Q8—22no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×D4—142no—
1083C2×D4—142no—
1084C2×D4—142no—
1085C2×D4—142no—
1086C2×D4—142no—
1087C2×D4—142no—
1088C2×D4—142no—
1089C2×D4—142no—
1090C2×D4—142no—
1091C2×D4—142no—
1092C2×D4—142no—
1093C2×D4—281no—
1094C2×D4—281no—
1095C2×D4—281no—
1096C2×D4—281no—
1097C2×D4—281no—
1098C2×D4—281no—
1099C2×D4—281no—
1100C22×C4—71no—
1101C22×C4—71no—
1102C22×C4—74no—
1103C22×C4—71no—
1104C22×C4—71no—
1105C22×C4—71no—
1106C22×C4—71no—
1107C22×C4—71no—
1108C22×C4—71no—
1109C22×C4—71no—
1110C22×C4—71no—
1111C22×C4—71no—
1112C22×C4—71no—
1113C22×C4—71no—
1114C22×C4—142no—
1115C22×C4—142no—
1116C22×C4—142no—
1117C22×C4—142no—
1118C22×C4—142no—
1119C22×C4—142no—
1120C22×C4—142no—
1121C22×C4—142no—
1122C22×C4—142no—
1123C22×C4—142no—
1124C22×C4—142no—
1125C22×C4—142no—
1126C22×C4—142no—
1127C22×C4—281no—
1128C22×C4—281no—
1129C22×C4—281no—
1130C22×C4—281no—
1131C22×C4—281no—
1132C22×C4—281no—
1133C22×C4—281no—
1134C22×C4—281no—
1135C22×C4—281no—
1136C22×C4—281no—
1137C22×C4—281no—
1138C22×C4—281no—
1139C22×C4—281no—
1140C22×C4—281no—
1141C22×C4—281no—
1142C22×C4—281no—
1143C22×C4C23×D711yescharacteristic
1144C22×C4C23×D711yescharacteristic
1145C22×C4C23×D711yescharacteristic
1146C22×C4C23×D711yescharacteristic
1147C22×C4C23×D711yescharacteristic
1148C22×C4C23×D711yescharacteristic
1149C22×C4C23×D711yescharacteristic
1150C22×C4C23×D711yescharacteristic
1151C22×C4C23×D711yescharacteristic
1152C22×C4C23×D711yescharacteristic
1153C22×C4C23×D711yescharacteristic
1154C22×C4C23×D711yescharacteristic
1155C22×C4C23×D711yescharacteristic
1156C22×C4C23×D711yescharacteristic
1157C4⋊C4—22no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—142no—
1163C4⋊C4—142no—
1164C4⋊C4—142no—
1165C4⋊C4—142no—
1166C4⋊C4—142no—
1167C4⋊C4—142no—
1168C4⋊C4—142no—
1169C4⋊C4—281no—
1170C4⋊C4—281no—
1171C4⋊C4—281no—
1172C4⋊C4—281no—
1173C4⋊C4—281no—
1174C4⋊C4—281no—
1175C4⋊C4—281no—
1176C4⋊C4—281no—
1177C4⋊C4—281no—
1178C4⋊C4—281no—
1179C4⋊C4—281no—
1180C4⋊C4—281no—
1181C4⋊C4—281no—
1182C4⋊C4—281no—
1183C4⋊C4—281no—
1184C4⋊C4—281no—
1185C4⋊C4—281no—
1186C4⋊C4—281no—
1187C4⋊C4—281no—
1188C4⋊C4—281no—
1189C4⋊C4—281no—
1190C4⋊C4—281no—
1191C22⋊C4—22no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—142no—
1199C22⋊C4—142no—
1200C22⋊C4—142no—
1201C22⋊C4—142no—
1202C22⋊C4—142no—
1203C22⋊C4—142no—
1204C22⋊C4—142no—
1205C22⋊C4—281no—
1206C22⋊C4—281no—
1207C22⋊C4—281no—
1208C22⋊C4—281no—
1209C22⋊C4—281no—
1210C22⋊C4—281no—
1211C22⋊C4—281no—
1212C22⋊C4—281no—
1213C22⋊C4—281no—
1214C22⋊C4—281no—
1215C22⋊C4—281no—
1216C22⋊C4—281no—
1217C22⋊C4—281no—
1218C22⋊C4—281no—
1219C22⋊C4—281no—
1220C22⋊C4—281no—
1221C22⋊C4—281no—
1222C22⋊C4—281no—
1223C22⋊C4—281no—
1224C22⋊C4—281no—
1225C22⋊C4—281no—
1226C22⋊C4—281no—
1227C22⋊C4—281no—
1228C22⋊C4—281no—
1229C42—41no—
1230C42—41no—
1231C42—41no—
1232C42—281no—
1233C42—281no—
1234C42—281no—
1235C42—281no—
1236C42—281no—
1237C42—281no—
1238C2×C7—81no—
1239C2×C7C2×#53811yescharacteristic
1240C2×C7#349311yescharacteristic
1241C2×C7#350711yescharacteristic
1242C2×C7#353311yescharacteristic
1243C2×C7#353511yescharacteristic
1244C2×C7#355911yescharacteristic
1245C2×C7#356011yescharacteristic
1246D7—24no—
1247D7—81no—
1248D7—81no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—72no—
1257C23—72no—
1258C23—72no—
1259C23—141no—
1260C23—141no—
1261C23—141no—
1262C23—141no—
1263C23—141no—
1264C23—141no—
1265C23—141no—
1266C23—141no—
1267C23—141no—
1268C23—141no—
1269C23—141no—
1270C23—141no—
1271C23—141no—
1272C23—141no—
1273C23—141no—
1274C23—141no—
1275C23—141no—
1276C23—141no—
1277C23C24×D711yescharacteristic
1278Q8—44no—
1279Q8—82no—
1280D4—284no—
1281D4—284no—
1282D4—284no—
1283D4—284no—
1284D4—562no—
1285D4—562no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—72no—
1328C2×C4—72no—
1329C2×C4—148no—
1330C2×C4—141no—
1331C2×C4—141no—
1332C2×C4—141no—
1333C2×C4—141no—
1334C2×C4—141no—
1335C2×C4—141no—
1336C2×C4—141no—
1337C2×C4—141no—
1338C2×C4—141no—
1339C2×C4—141no—
1340C2×C4—141no—
1341C2×C4—141no—
1342C2×C4—141no—
1343C2×C4—141no—
1344C2×C4—141no—
1345C2×C4—141no—
1346C2×C4—141no—
1347C2×C4—141no—
1348C2×C4—141no—
1349C2×C4—141no—
1350C2×C4—141no—
1351C2×C4—141no—
1352C2×C4—141no—
1353C2×C4—141no—
1354C2×C4—141no—
1355C2×C4—141no—
1356C2×C4—141no—
1357C2×C4—141no—
1358C2×C4—141no—
1359C2×C4—141no—
1360C2×C4—141no—
1361C2×C4—141no—
1362C2×C4—141no—
1363C2×C4—141no—
1364C2×C4—141no—
1365C2×C4—141no—
1366C2×C4—141no—
1367C2×C4—284no—
1368C2×C4—284no—
1369C2×C4—284no—
1370C2×C4—284no—
1371C2×C4—284no—
1372C2×C4—284no—
1373C2×C4—562no—
1374C2×C4—562no—
1375C2×C4—562no—
1376C2×C4D7×#4112yes—
1377C7#3699711yescharacteristic, complemented, Sylow
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—74no—
1386C22—142no—
1387C22—142no—
1388C22—142no—
1389C22—142no—
1390C22—142no—
1391C22—142no—
1392C22—281no—
1393C22—281no—
1394C22—281no—
1395C22—281no—
1396C22—281no—
1397C22—281no—
1398C22—281no—
1399C22—281no—
1400C22—281no—
1401C22—281no—
1402C22—281no—
1403C22—281no—
1404C22—281no—
1405C22—281no—
1406C22C2×D7×#4111yescharacteristic
1407C22#9061611yescharacteristic
1408C22#9061611yescharacteristic
1409C22D7×H(5,𝔽2)11yescharacteristic
1410C22D7×H(5,𝔽2)11yescharacteristic
1411C22D7×2−1+411yescharacteristic
1412C22#9062011yescharacteristic
1413C4—22no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—142no—
1428C4—142no—
1429C4—281no—
1430C4—281no—
1431C4—281no—
1432C4—281no—
1433C4—281no—
1434C4—281no—
1435C4—281no—
1436C4—281no—
1437C4—281no—
1438C4—281no—
1439C4—281no—
1440C2—81no—
1441C2—144no—
1442C2—561no—
1443C2—561no—
1444C2D7×#53811yescharacteristic
1445C2#1174362711yescharacteristic
1446C2#1174362811yescharacteristic
1447C2#1174389111yescharacteristic
1448C2#1174407211yescharacteristic
1449C2#1174407511yescharacteristic
1450C2#1174420211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2759C2
prime radical#11734309C2
hypercenter#2759D7
hypocenterC7#36997
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2759

Complements

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

NH ≅ G/Ntype
1. C7×#2759C2semidirect
2. #11735877C2semidirect
3. #11735869C2semidirect
4. #11735119C2semidirect
5. #11735117C2semidirect
6. #11735079C2semidirect
7. #11735073C2semidirect
8. #11734694C2semidirect
9. #11734683C2semidirect
10. #11734317C2semidirect
12. #11734292C2semidirect
13. #11734282C2semidirect
14. #11734074C2semidirect
15. #11734072C2semidirect
16. #11734046C2semidirect
17. #11734035C2semidirect
18. #11734033C2semidirect
19. #11733927C2semidirect
20. #11733405C2semidirect
21. #11733288C2semidirect
22. #11733273C2semidirect
23. #11733253C2semidirect
24. #11733241C2semidirect
25. #11733176C2semidirect
26. #11732892C2semidirect
27. D7×#387C2semidirect
28. #11732717C2semidirect
29. #11732689C2semidirect
30. #11731746C2semidirect
31. #11731732C2semidirect
373. #2759D7semidirect
1377. C7#36997semidirect

Maximal subgroups

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

subgroupindex
C7×#27592
#117358772
#117358692
#117351192
#117351172
#117350792
#117350732
#117346942
#117346832
#117343172
#117343092
#117342922
#117342822
#117340742
#117340722
#117340462
#117340352
#117340332
#117339272
#117334052
#117332882
#117332732
#117332532
#117332412
#117331762
#117328922
D7×#3872
#117327172
#117326892
#117317462
#117317322
#369977