Finite Group Databasebeta

← #13524928

Subgroups — #13524928

Order 1792.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2478C211yesmaximal, characteristic, complemented
2#11740554C211yesmaximal, characteristic
3Dic7×#126C211yesmaximal, characteristic, complemented
4#11739725C211yesmaximal, characteristic
5Dic7×#117C211yesmaximal, characteristic, complemented
6#11735250C211yesmaximal, characteristic, complemented
7#11735236C211yesmaximal, characteristic, complemented
8#11735186C211yesmaximal, characteristic, complemented
9#11735183C211yesmaximal, characteristic, complemented
10#11734977C211yesmaximal, characteristic, complemented
11#11734970C211yesmaximal, characteristic, complemented
12#11734905C211yesmaximal, characteristic, complemented
13#11734903C211yesmaximal, characteristic, complemented
14#11733539C211yesmaximal, characteristic, complemented
15#11733503C211yesmaximal, characteristic, complemented
16#11733410C211yesmaximal, characteristic, complemented
17#11733406C211yesmaximal, characteristic, complemented
18#11733062C211yesmaximal, characteristic, complemented
19#11732897C211yesmaximal, characteristic
20#11732813C211yesmaximal, characteristic, complemented
21#11732798C211yesmaximal, characteristic, complemented
22#11732512C211yesmaximal, characteristic, complemented
23#11732387C211yesmaximal, characteristic, complemented
24#11732384C211yesmaximal, characteristic, complemented
25#11732383C211yesmaximal, characteristic, complemented
26#11731896C211yesmaximal, characteristic, complemented
27#11731893C211yesmaximal, characteristic, complemented
28#11731822C211yesmaximal, characteristic, complemented
29#11731822C211yesmaximal, characteristic, complemented
30#11731153C211yesmaximal, characteristic, complemented
31C4×#6455C211yesmaximal, characteristic, complemented
32C2×C7×#126C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic
34C2×#6489C2211yescharacteristic
35C22×C4×Dic7C2211yescharacteristic
36C2×#6461C2211yescharacteristic
37C2×#6460C2211yescharacteristic
38C2×#6456C2211yescharacteristic
39C2×#6455C2211yescharacteristic
40C2×#6455C2211yescharacteristic
41C2×#6455C2211yescharacteristic
42C2×#6450C2211yescharacteristic
43C2×#6447C2211yescharacteristic
44C2×(C22⋊D7)⋊C4C2211yescharacteristic
45C2×(C22⋊D7)⋊C4C2211yescharacteristic
46C2×C42×D7C2211yescharacteristic
47C7×#398C2211yescharacteristic
48C7×#398C2211yescharacteristic
49C7×#397C2211yescharacteristic
50C7×#397C2211yescharacteristic
51C7×#389C2211yescharacteristic
52C7×#389C2211yescharacteristic
53C7×#388C2211yescharacteristic
54C7×#387C2211yescharacteristic
55C7×#387C2211yescharacteristic
56C7×#387C2211yescharacteristic
57C7×#385C2211yescharacteristic
58C7×#385C2211yescharacteristic
59C4×C7×C4⋊C4C2211yescharacteristic
60#89985C2211yescharacteristic
61#89985C2211yescharacteristic
62#89765C2211yescharacteristic
63#89765C2211yescharacteristic
64#89763C2211yescharacteristic
65#89763C2211yescharacteristic
66#89762C2211yescharacteristic
67#89762C2211yescharacteristic
68#89762C2211yescharacteristic
69#89762C2211yescharacteristic
70#89762C2211yescharacteristic
71#89762C2211yescharacteristic
72#89761C2211yescharacteristic
73#89761C2211yescharacteristic
74#89760C2211yescharacteristic
75#89759C2211yescharacteristic
76#89758C2211yescharacteristic
77#89758C2211yescharacteristic
78#89757C2211yescharacteristic
79#89756C2211yescharacteristic
80#89755C2211yescharacteristic
81#89754C2211yescharacteristic
82#89753C2211yescharacteristic
83#89753C2211yescharacteristic
84#89753C2211yescharacteristic
85#89753C2211yescharacteristic
86#89753C2211yescharacteristic
87#89752C2211yescharacteristic
88#89750C2211yescharacteristic
89#89750C2211yescharacteristic
90C4⋊C4×Dic7C2211yescharacteristic
91C4⋊C4×Dic7C2211yescharacteristic
92C4⋊C4×Dic7C2211yescharacteristic
93C4⋊C4×Dic7C2211yescharacteristic
94C4⋊C4×Dic7C2211yescharacteristic
95C4⋊C4×Dic7C2211yescharacteristic
96C4⋊C4×Dic7C2211yescharacteristic
97C4⋊C4×Dic7C2211yescharacteristic
98C4⋊C4×Dic7C2211yescharacteristic
99C4⋊C4×Dic7C2211yescharacteristic
100C4⋊C4×Dic7C2211yescharacteristic
101#89744C2211yescharacteristic
102#89744C2211yescharacteristic
103#89731C2211yescharacteristic
104#89731C2211yescharacteristic
105#89731C2211yescharacteristic
106#89731C2211yescharacteristic
107#89730C2211yescharacteristic
108#89730C2211yescharacteristic
109#89729C2211yescharacteristic
110#89728C2211yescharacteristic
111#89723C2211yescharacteristic
112#89723C2211yescharacteristic
113#89723C2211yescharacteristic
114#89722C2211yescharacteristic
115#89722C2211yescharacteristic
116#89721C2211yescharacteristic
117#89719C2211yescharacteristic
118C22⋊C4×Dic7C2211yescharacteristic
119C22⋊C4×Dic7C2211yescharacteristic
120C22⋊C4×Dic7C2211yescharacteristic
121C22⋊C4×Dic7C2211yescharacteristic
122C22⋊C4×Dic7C2211yescharacteristic
123C22⋊C4×Dic7C2211yescharacteristic
124#89712C2211yescharacteristic
125#89712C2211yescharacteristic
126#89712C2211yescharacteristic
127#89711C2211yescharacteristic
128C4×(C2×D7)⋊C4C2211yescharacteristic
129C4×(C2×D7)⋊C4C2211yescharacteristic
130#89709C2211yescharacteristic
131C4×C4⋊Dic7C2211yescharacteristic
132#89705C2211yescharacteristic
133#89704C2211yescharacteristic
134#89704C2211yescharacteristic
135C42×Dic7C2211yescharacteristic
136C42×Dic7C2211yescharacteristic
137C42×Dic7C2211yescharacteristic
138#89701C2211yescharacteristic
139#89449C2211yescharacteristic
140#89447C2211yescharacteristic
141#89447C2211yescharacteristic
142#89446C2211yescharacteristic
143#89446C2211yescharacteristic
144#89445C2211yescharacteristic
145#89442C2211yescharacteristic
146#89442C2211yescharacteristic
147#89442C2211yescharacteristic
148#89442C2211yescharacteristic
149#89442C2211yescharacteristic
150#89442C2211yescharacteristic
151#89441C2211yescharacteristic
152#89439C2211yescharacteristic
153#89438C2211yescharacteristic
154#89438C2211yescharacteristic
155#89438C2211yescharacteristic
156#89438C2211yescharacteristic
157#89438C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic
161#89437C2211yescharacteristic
162#89433C2211yescharacteristic
163#89432C2211yescharacteristic
164#89431C2211yescharacteristic
165#89431C2211yescharacteristic
166#89430C2211yescharacteristic
167#89430C2211yescharacteristic
168#89427C2211yescharacteristic
169#89427C2211yescharacteristic
170#89427C2211yescharacteristic
171#89426C2211yescharacteristic
172#89426C2211yescharacteristic
173#89426C2211yescharacteristic
174#89425C2211yescharacteristic
175#89425C2211yescharacteristic
176#89424C2211yescharacteristic
177#89423C2211yescharacteristic
178#89421C2211yescharacteristic
179#89421C2211yescharacteristic
180#89421C2211yescharacteristic
181#89420C2211yescharacteristic
182#89420C2211yescharacteristic
183#89420C2211yescharacteristic
184#89419C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#34884—71nomaximal, Sylow
188C23×C4×C7C2311yescharacteristic
189C22×C22⋊D7C2311yescharacteristic
190C22×C22⋊D7C2311yescharacteristic
191C23×Dic7C2311yescharacteristic
192C23×Dic7C2311yescharacteristic
193C22×D28C2311yescharacteristic
194C22×C4×D7C2311yescharacteristic
195C22×C4×D7C2311yescharacteristic
196C22×C4×D7C2311yescharacteristic
197C22×C4×D7C2311yescharacteristic
198C22×Dic14C2311yescharacteristic
199C7×#126—24no—
200C7×#117—24no—
201C2×C7×C4⋊C4C2311yescharacteristic
202C2×C7×C4⋊C4C2311yescharacteristic
203C2×C7×C4⋊C4C2311yescharacteristic
204C2×C7×C4⋊C4C2311yescharacteristic
205C2×C7×C4⋊C4C2311yescharacteristic
206C2×C7×C4⋊C4C2311yescharacteristic
207C2×C7×C4⋊C4C2311yescharacteristic
208C2×C7×C4⋊C4C2311yescharacteristic
209C2×C7×C4⋊C4C2311yescharacteristic
210C2×C7×C4⋊C4C2311yescharacteristic
211C2×C7×C4⋊C4C2311yescharacteristic
212C2×C7×C4⋊C4C2311yescharacteristic
213C2×C7×C22⋊C4C2311yescharacteristic
214C2×C7×C22⋊C4C2311yescharacteristic
215C2×C7×C22⋊C4C2311yescharacteristic
216C2×C7×C22⋊C4C2311yescharacteristic
217C2×C7×C22⋊C4C2311yescharacteristic
218C2×C7×C22⋊C4C2311yescharacteristic
219C2×C42×C7C2311yescharacteristic
220C2×C42×C7C2311yescharacteristic
221C2×C42×C7C2311yescharacteristic
222C2×C42×C7C2311yescharacteristic
223C2×C22⋊Dic7C2311yescharacteristic
224C2×C22⋊Dic7C2311yescharacteristic
225C2×C22⋊Dic7C2311yescharacteristic
226C2×C22⋊Dic7C2311yescharacteristic
227C2×(C2×D7)⋊C4C2311yescharacteristic
228C2×(C2×D7)⋊C4C2311yescharacteristic
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
249#6489—24no—
250C2×C4⋊Dic7C2311yescharacteristic
251C2×C4⋊Dic7C2311yescharacteristic
252C2×C4⋊Dic7C2311yescharacteristic
253C2×C4⋊Dic7C2311yescharacteristic
254C2×C4⋊Dic7C2311yescharacteristic
255C2×C4⋊Dic7C2311yescharacteristic
256C2×C4⋊Dic7C2311yescharacteristic
257C2×C4⋊Dic7C2311yescharacteristic
258C2×C4⋊Dic7C2311yescharacteristic
259C2×C4⋊Dic7C2311yescharacteristic
260C2×Dic7⋊C4C2311yescharacteristic
261C2×Dic7⋊C4C2311yescharacteristic
262C2×Dic7⋊C4C2311yescharacteristic
263C2×Dic7⋊C4C2311yescharacteristic
264C2×Dic7⋊C4C2311yescharacteristic
265C2×Dic7⋊C4C2311yescharacteristic
266C2×Dic7⋊C4C2311yescharacteristic
267C2×Dic7⋊C4C2311yescharacteristic
268C2×Dic7⋊C4C2311yescharacteristic
269C2×Dic7⋊C4C2311yescharacteristic
270C2×C4×Dic7—24no—
271C2×C4×Dic7C2311yescharacteristic
272C2×C4×Dic7C2311yescharacteristic
273C2×C4×Dic7C2311yescharacteristic
274C2×C4×Dic7C2311yescharacteristic
275C2×C4×Dic7C2311yescharacteristic
276C2×C4×Dic7C2311yescharacteristic
277C2×C4×Dic7C2311yescharacteristic
278C2×C4×Dic7C2311yescharacteristic
279C2×C4×Dic7C2311yescharacteristic
280C2×C4×Dic7C2311yescharacteristic
281C2×C4×Dic7C2311yescharacteristic
282C2×C4×Dic7C2311yescharacteristic
283C2×C4×Dic7C2311yescharacteristic
284C2×C4×Dic7C2311yescharacteristic
285C2×C4×Dic7C2311yescharacteristic
286C2×C4×Dic7C2311yescharacteristic
287C2×C4×Dic7C2311yescharacteristic
288C2×C4×Dic7C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294C2×C4×Dic7C2311yescharacteristic
295#6461—24no—
296#6460—24no—
297#6456—24no—
298#6455—24no—
299#6455—24no—
300#6455—24no—
301#6450—24no—
302#6447—24no—
303(C22⋊D7)⋊C4—24no—
304(C22⋊D7)⋊C4—24no—
305C42×D7—24no—
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#2597—71no—
359#2596—71no—
360#2590—71no—
361#2589—71no—
362#2578—71no—
363#2577—71no—
364#2560—71no—
365#2559—71no—
366#2533—71no—
367#2532—71no—
368#2531—71no—
369#2530—71no—
370#2479—71no—
371#2478D711yescharacteristic, complemented
372#2477—71no—
373#2476—71no—
374#2402—71no—
375#2398—71no—
376#2395—71no—
377#2395—71no—
378C4×#126—71no—
379C4×#126—71no—
380C4×C22⋊Q8—71no—
381C4×#121—71no—
382#2298—71no—
383#2295—71no—
384#2293—71no—
385#2290—71no—
386#2290—71no—
387C4×#117—71no—
388C4×#117—71no—
389C24×C7C2411yescharacteristic
390C23×D7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C22×C4×C7—22no—
393C22×C4×C7—22no—
394C22×C4×C7—22no—
395C22×C4×C7C2411yescharacteristic
396C22×C4×C7C2411yescharacteristic
397C22×C4×C7C2411yescharacteristic
398C22×C4×C7C2411yescharacteristic
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
409C2×C22⋊D7—22no—
410C2×C22⋊D7—22no—
411C2×C22⋊D7—22no—
412C2×C22⋊D7—22no—
413C2×C22⋊D7—41no—
414C2×C22⋊D7—41no—
415C22×Dic7—22no—
416C22×Dic7—22no—
417C22×Dic7—22no—
418C22×Dic7—22no—
419C22×Dic7—41no—
420C22×Dic7—41no—
421C22×Dic7C2411yescharacteristic
422C22×Dic7C2411yescharacteristic
423C22×Dic7C2411yescharacteristic
424C22×Dic7C2411yescharacteristic
425C22×Dic7C2411yescharacteristic
426C22×Dic7C2411yescharacteristic
427C22×Dic7C2411yescharacteristic
428C22×Dic7C2411yescharacteristic
429C22×Dic7C2411yescharacteristic
430C22×Dic7C2411yescharacteristic
431C22×Dic7C2411yescharacteristic
432C22×Dic7C2411yescharacteristic
433C22×Dic7C2411yescharacteristic
434C22×Dic7C2411yescharacteristic
435C2×D28—22no—
436C2×D28—22no—
437C2×D28—41no—
438C2×C4×D7—22no—
439C2×C4×D7—22no—
440C2×C4×D7—22no—
441C2×C4×D7—22no—
442C2×C4×D7—22no—
443C2×C4×D7—22no—
444C2×C4×D7—22no—
445C2×C4×D7—22no—
446C2×C4×D7—22no—
447C2×C4×D7—41no—
448C2×C4×D7—41no—
449C2×C4×D7#4114yes—
450C2×Dic14—22no—
451C2×Dic14—22no—
452C2×Dic14—41no—
453C7×C4⋊C4—22no—
454C7×C4⋊C4—22no—
455C7×C4⋊C4—22no—
456C7×C4⋊C4—22no—
457C7×C4⋊C4—22no—
458C7×C4⋊C4—22no—
459C7×C4⋊C4—22no—
460C7×C4⋊C4—22no—
461C7×C4⋊C4—22no—
462C7×C4⋊C4—22no—
463C7×C4⋊C4—22no—
464C7×C4⋊C4—22no—
465C7×C22⋊C4—22no—
466C7×C22⋊C4—22no—
467C7×C22⋊C4—22no—
468C7×C22⋊C4—22no—
469C7×C22⋊C4—22no—
470C7×C22⋊C4#4114yes—
471C42×C7—22no—
472C42×C7—22no—
473C42×C7—22no—
474C42×C7—22no—
475C22⋊Dic7—22no—
476C22⋊Dic7—22no—
477C22⋊Dic7—41no—
478C22⋊Dic7—41no—
479(C2×D7)⋊C4—22no—
480(C2×D7)⋊C4—22no—
481(C2×D7)⋊C4—22no—
482(C2×D7)⋊C4—22no—
483(C2×D7)⋊C4—22no—
484(C2×D7)⋊C4—22no—
485(C2×D7)⋊C4—22no—
486(C2×D7)⋊C4—22no—
487(C2×D7)⋊C4—22no—
488(C2×D7)⋊C4—22no—
489(C2×D7)⋊C4—22no—
490(C2×D7)⋊C4—22no—
491(C2×D7)⋊C4—22no—
492(C2×D7)⋊C4—22no—
493(C2×D7)⋊C4—22no—
494(C2×D7)⋊C4—22no—
495(C2×D7)⋊C4—41no—
496(C2×D7)⋊C4—41no—
497(C2×D7)⋊C4—41no—
498(C2×D7)⋊C4—41no—
499(C2×D7)⋊C4—41no—
500(C2×D7)⋊C4—41no—
501C4⋊Dic7—22no—
502C4⋊Dic7—22no—
503C4⋊Dic7—22no—
504C4⋊Dic7—22no—
505C4⋊Dic7—22no—
506C4⋊Dic7—41no—
507C4⋊Dic7—41no—
508C4⋊Dic7—41no—
509C4⋊Dic7—41no—
510C4⋊Dic7#4114yes—
511Dic7⋊C4—22no—
512Dic7⋊C4—22no—
513Dic7⋊C4—22no—
514Dic7⋊C4—22no—
515Dic7⋊C4—22no—
516Dic7⋊C4—22no—
517Dic7⋊C4—41no—
518Dic7⋊C4—41no—
519Dic7⋊C4—41no—
520Dic7⋊C4—41no—
521C4×Dic7—22no—
522C4×Dic7—22no—
523C4×Dic7—22no—
524C4×Dic7—22no—
525C4×Dic7—22no—
526C4×Dic7—22no—
527C4×Dic7—22no—
528C4×Dic7—22no—
529C4×Dic7—22no—
530C4×Dic7—22no—
531C4×Dic7—22no—
532C4×Dic7—22no—
533C4×Dic7—22no—
534C4×Dic7—22no—
535C4×Dic7—22no—
536C4×Dic7—22no—
537C4×Dic7—41no—
538C4×Dic7—41no—
539C4×Dic7—41no—
540C4×Dic7—41no—
541C4×Dic7—41no—
542C4×Dic7—41no—
543C4×Dic7#4114yes—
544C4×Dic7#4114yes—
545C2×#126—71no—
546C2×#126C2×D711yescharacteristic
547C2×C22⋊Q8—71no—
548C2×#121—71no—
549C2×C4×Q8—71no—
550C2×C4×D4—71no—
551C2×C4×D4—71no—
552C2×C4×D4—71no—
553C2×#117—71no—
554C2×#117—71no—
555C2×#117—71no—
556C2×#117—71no—
557C2×#117C2×D711yescharacteristic
558C22×C42—71no—
559C22×C42—71no—
560#400—71no—
561#400—71no—
562#400—71no—
563#400—71no—
564#400—71no—
565#400—71no—
566#400—71no—
567#400—71no—
568#399—71no—
569#399—71no—
570#398—71no—
571#398—71no—
572#398—71no—
573#398—71no—
574#398C2×D711yescharacteristic
575#398C2×D711yescharacteristic
576#397—71no—
577#397—71no—
578#397—71no—
579#397—71no—
580#397—71no—
581#397—71no—
582#397C2×D711yescharacteristic
583#397C2×D711yescharacteristic
584#394—71no—
585#394—71no—
586#394—71no—
587#394—71no—
588#394—71no—
589#394—71no—
590#393—71no—
591#393—71no—
592#391—71no—
593#391—71no—
594#391—71no—
595#390—71no—
596#390—71no—
597#390—71no—
598#389—71no—
599#389—71no—
600#389—71no—
601#389—71no—
602#389C2×D711yescharacteristic
603#389C2×D711yescharacteristic
604#388—71no—
605#388—71no—
606#388—71no—
607#388—71no—
608#388—71no—
609#388—71no—
610#388—71no—
611#388—71no—
612#388—71no—
613#388—71no—
614#388—71no—
615#388—71no—
616#388—71no—
617#388—71no—
618#388—71no—
619#388—71no—
620#388—71no—
621#388—71no—
622#388—71no—
623#388C2×D711yescharacteristic
624#387—71no—
625#387—71no—
626#387—71no—
627#387—71no—
628#387—71no—
629#387—71no—
630#387—71no—
631#387—71no—
632#387—71no—
633#387—71no—
634#387—71no—
635#387—71no—
636#387—71no—
637#387—71no—
638#387—71no—
639#387—71no—
640#387—71no—
641#387C2×D711yescharacteristic
642#387C2×D711yescharacteristic
643#387C2×D711yescharacteristic
644#386—71no—
645#386—71no—
646#386—71no—
647#386—71no—
648#386—71no—
649#386—71no—
650#385—71no—
651#385—71no—
652#385—71no—
653#385—71no—
654#385C2×D711yescharacteristic
655#385C2×D711yescharacteristic
656#383—71no—
657#383—71no—
658#380—71no—
659#380—71no—
660C4×C4⋊C4—71no—
661C4×C4⋊C4—71no—
662C4×C4⋊C4—71no—
663C4×C4⋊C4—71no—
664C4×C4⋊C4—71no—
665C4×C4⋊C4—71no—
666C4×C4⋊C4—71no—
667C4×C4⋊C4—71no—
668C4×C4⋊C4—71no—
669C4×C4⋊C4—71no—
670C4×C4⋊C4—71no—
671C4×C4⋊C4—71no—
672C4×C4⋊C4—71no—
673C4×C4⋊C4—71no—
674C4×C4⋊C4—71no—
675C4×C4⋊C4C2×D711yescharacteristic
676C4×C22⋊C4—71no—
677C4×C22⋊C4—71no—
678C4×C22⋊C4—71no—
679C4×C22⋊C4—71no—
680C4×C22⋊C4—71no—
681C4×C22⋊C4—71no—
682C4×C22⋊C4—71no—
683C4×C22⋊C4—71no—
684C4×C22⋊C4—71no—
685C4×C22⋊C4—71no—
686C4×C22⋊C4—71no—
687C4×C22⋊C4—71no—
688C4×C22⋊C4—71no—
689C4×C22⋊C4—71no—
690C4×C22⋊C4—71no—
691C4×C22⋊C4—71no—
692#376—71no—
693#376—71no—
694#376—71no—
695#376—71no—
696#376—71no—
697C43—71no—
698C43—71no—
699C43—71no—
700C23×C7—21no—
701C23×C7—21no—
702C23×C7—21no—
703C23×C7—21no—
704C23×C7—21no—
705C23×C7—21no—
706C23×C7C2×#4112yes—
707C23×C7C2511yescharacteristic
708C22×D7—21no—
709C22×D7—21no—
710C22×D7—21no—
711C22×D7—21no—
712C22×D7—21no—
713C22×D7—21no—
714C22×D7—21no—
715C22×D7—21no—
716C22×D7—21no—
717C22×D7—21no—
718C22×D7—21no—
719C22×D7—21no—
720C22×D7—21no—
721C22×D7C2×#4112yes—
722C2×C4×C7—28no—
723C2×C4×C7—21no—
724C2×C4×C7—21no—
725C2×C4×C7—21no—
726C2×C4×C7—21no—
727C2×C4×C7—21no—
728C2×C4×C7—21no—
729C2×C4×C7—21no—
730C2×C4×C7—21no—
731C2×C4×C7—21no—
732C2×C4×C7—21no—
733C2×C4×C7—21no—
734C2×C4×C7—21no—
735C2×C4×C7—21no—
736C2×C4×C7—21no—
737C2×C4×C7—21no—
738C2×C4×C7—21no—
739C2×C4×C7—21no—
740C2×C4×C7—21no—
741C2×C4×C7—21no—
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×C7C2×#4112yes—
760C2×C4×C7C2×#4112yes—
761C2×C4×C7C2×#4112yes—
762C2×C4×C7C2×#4112yes—
763C2×C4×C7C2×#4112yes—
764C2×C4×C7C2×#4112yes—
765C22⋊D7—44no—
766C22⋊D7—44no—
767C2×Dic7—21no—
768C2×Dic7—21no—
769C2×Dic7—21no—
770C2×Dic7—21no—
771C2×Dic7—21no—
772C2×Dic7—21no—
773C2×Dic7—21no—
774C2×Dic7—21no—
775C2×Dic7—21no—
776C2×Dic7—21no—
777C2×Dic7—21no—
778C2×Dic7—21no—
779C2×Dic7—21no—
780C2×Dic7—21no—
781C2×Dic7—21no—
782C2×Dic7—21no—
783C2×Dic7—21no—
784C2×Dic7—21no—
785C2×Dic7—21no—
786C2×Dic7—21no—
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—44no—
803C2×Dic7—44no—
804C2×Dic7C2×#4112yes—
805C2×Dic7C2×#4112yes—
806C2×Dic7C2×#4112yes—
807C2×Dic7C2×#4112yes—
808C2×Dic7C2×#4112yes—
809C2×Dic7C2×#4112yes—
810C2×Dic7C2×#4112yes—
811D28—44no—
812C4×D7—28no—
813C4×D7—44no—
814C4×D7—44no—
815C4×D7—44no—
816Dic14—44no—
817C22×Q8—71no—
818C22×D4—71no—
819C22×D4—71no—
820C22×D4—71no—
821C23×C4—71no—
822C23×C4—71no—
823C23×C4—71no—
824C23×C4—71no—
825C23×C4—71no—
826C23×C4—71no—
827C23×C4C22×D711yescharacteristic
828#126—24no—
829#126—144no—
830C22⋊Q8—144no—
831#121—144no—
832C4×Q8—144no—
833C4×D4—144no—
834C4×D4—144no—
835C4×D4—144no—
836#117—24no—
837#117—144no—
838#117—144no—
839#117—144no—
840#117—144no—
841C2×C4⋊C4—71no—
842C2×C4⋊C4—71no—
843C2×C4⋊C4—71no—
844C2×C4⋊C4—71no—
845C2×C4⋊C4—71no—
846C2×C4⋊C4—71no—
847C2×C4⋊C4—71no—
848C2×C4⋊C4—71no—
849C2×C4⋊C4—71no—
850C2×C4⋊C4—71no—
851C2×C4⋊C4—71no—
852C2×C4⋊C4—71no—
853C2×C4⋊C4—71no—
854C2×C4⋊C4—71no—
855C2×C4⋊C4—71no—
856C2×C4⋊C4—71no—
857C2×C4⋊C4—71no—
858C2×C4⋊C4—71no—
859C2×C4⋊C4—71no—
860C2×C4⋊C4—71no—
861C2×C4⋊C4C22×D711yescharacteristic
862C2×C4⋊C4C22×D711yescharacteristic
863C2×C4⋊C4C22×D711yescharacteristic
864C2×C4⋊C4C22×D711yescharacteristic
865C2×C4⋊C4C22×D711yescharacteristic
866C2×C4⋊C4C22×D711yescharacteristic
867C2×C4⋊C4C22×D711yescharacteristic
868C2×C4⋊C4C22×D711yescharacteristic
869C2×C4⋊C4C22×D711yescharacteristic
870C2×C4⋊C4C22×D711yescharacteristic
871C2×C4⋊C4C22×D711yescharacteristic
872C2×C4⋊C4C22×D711yescharacteristic
873C2×C22⋊C4—71no—
874C2×C22⋊C4—71no—
875C2×C22⋊C4—71no—
876C2×C22⋊C4—71no—
877C2×C22⋊C4—71no—
878C2×C22⋊C4—71no—
879C2×C22⋊C4—71no—
880C2×C22⋊C4—71no—
881C2×C22⋊C4—71no—
882C2×C22⋊C4—71no—
883C2×C22⋊C4—71no—
884C2×C22⋊C4—71no—
885C2×C22⋊C4—71no—
886C2×C22⋊C4—71no—
887C2×C22⋊C4—71no—
888C2×C22⋊C4—71no—
889C2×C22⋊C4—71no—
890C2×C22⋊C4—71no—
891C2×C22⋊C4—71no—
892C2×C22⋊C4—71no—
893C2×C22⋊C4—71no—
894C2×C22⋊C4—71no—
895C2×C22⋊C4—71no—
896C2×C22⋊C4—71no—
897C2×C22⋊C4—71no—
898C2×C22⋊C4—71no—
899C2×C22⋊C4C22×D711yescharacteristic
900C2×C22⋊C4C22×D711yescharacteristic
901C2×C22⋊C4C22×D711yescharacteristic
902C2×C22⋊C4C22×D711yescharacteristic
903C2×C22⋊C4C22×D711yescharacteristic
904C2×C22⋊C4C22×D711yescharacteristic
905C2×C42—71no—
906C2×C42—71no—
907C2×C42—71no—
908C2×C42—71no—
909C2×C42—71no—
910C2×C42—71no—
911C2×C42—71no—
912C2×C42—71no—
913C2×C42—71no—
914C2×C42—71no—
915C2×C42—71no—
916C2×C42—71no—
917C2×C42—71no—
918C2×C42—71no—
919C2×C42—71no—
920C2×C42—71no—
921C2×C42—71no—
922C2×C42—71no—
923C2×C42—71no—
924C2×C42—71no—
925C2×C42—71no—
926C2×C42—71no—
927C2×C42—71no—
928C2×C42—71no—
929C2×C42—144no—
930C2×C42—144no—
931C2×C42C22×D711yescharacteristic
932C2×C42C22×D711yescharacteristic
933C2×C42C22×D711yescharacteristic
934C2×C42C22×D711yescharacteristic
935#95—71no—
936#95—71no—
937#95—71no—
938#95—71no—
939#95—71no—
940#95—71no—
941#95—71no—
942#95—71no—
943#95—71no—
944#95—71no—
945#95—71no—
946#95—71no—
947#95—71no—
948#95—71no—
949#95—71no—
950#95—71no—
951#95—71no—
952#95—71no—
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#95C22×D711yescharacteristic
976#95C22×D711yescharacteristic
977#95C22×D711yescharacteristic
978#95C22×D711yescharacteristic
979#95C22×D711yescharacteristic
980#95C22×D711yescharacteristic
981#95C22×D711yescharacteristic
982#95C22×D711yescharacteristic
983#95C22×D711yescharacteristic
984#95C22×D711yescharacteristic
985#95C22×D711yescharacteristic
986#95C22×D711yescharacteristic
987C22×C7—22no—
988C22×C7—22no—
989C22×C7—22no—
990C22×C7—41no—
991C22×C7—41no—
992C22×C7—41no—
993C22×C7—41no—
994C22×C7C22×#4111yescharacteristic
995C22×C7C22×#4111yescharacteristic
996C22×C7C22×#4111yescharacteristic
997C22×C7C22×#4111yescharacteristic
998C22×C7C22×#4111yescharacteristic
999C22×C7#58511yescharacteristic
1000C22×C7#58511yescharacteristic
1001C2×D7—22no—
1002C2×D7—22no—
1003C2×D7—22no—
1004C2×D7—41no—
1005C2×D7—41no—
1006C2×D7—41no—
1007C2×D7—41no—
1008C2×D7—41no—
1009C2×D7—41no—
1010C2×D7—41no—
1011C2×D7—41no—
1012C2×D7—41no—
1013C2×D7—41no—
1014C2×D7—41no—
1015C4×C7—22no—
1016C4×C7—22no—
1017C4×C7—22no—
1018C4×C7—22no—
1019C4×C7—22no—
1020C4×C7—22no—
1021C4×C7—41no—
1022C4×C7—41no—
1023C4×C7—41no—
1024C4×C7—41no—
1025C4×C7—41no—
1026C4×C7—41no—
1027C4×C7—41no—
1028C4×C7—41no—
1029Dic7—22no—
1030Dic7—22no—
1031Dic7—22no—
1032Dic7—22no—
1033Dic7—41no—
1034Dic7—41no—
1035Dic7—41no—
1036Dic7—41no—
1037Dic7—41no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7#52914yes—
1043C24—71no—
1044C24—71no—
1045C24C23×D711yescharacteristic
1046C2×Q8—142no—
1047C2×Q8—142no—
1048C2×Q8—281no—
1049C2×D4—142no—
1050C2×D4—142no—
1051C2×D4—142no—
1052C2×D4—142no—
1053C2×D4—142no—
1054C2×D4—142no—
1055C2×D4—281no—
1056C2×D4—281no—
1057C2×D4—281no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—71no—
1062C22×C4—71no—
1063C22×C4—71no—
1064C22×C4—71no—
1065C22×C4—71no—
1066C22×C4—74no—
1067C22×C4—71no—
1068C22×C4—71no—
1069C22×C4—71no—
1070C22×C4—71no—
1071C22×C4—71no—
1072C22×C4—71no—
1073C22×C4—71no—
1074C22×C4—71no—
1075C22×C4—71no—
1076C22×C4—142no—
1077C22×C4—142no—
1078C22×C4—142no—
1079C22×C4—142no—
1080C22×C4—142no—
1081C22×C4—142no—
1082C22×C4—142no—
1083C22×C4—142no—
1084C22×C4—142no—
1085C22×C4—142no—
1086C22×C4—142no—
1087C22×C4—142no—
1088C22×C4—142no—
1089C22×C4—281no—
1090C22×C4—281no—
1091C22×C4—281no—
1092C22×C4—281no—
1093C22×C4C23×D711yescharacteristic
1094C22×C4C23×D711yescharacteristic
1095C22×C4C23×D711yescharacteristic
1096C22×C4C23×D711yescharacteristic
1097C22×C4C23×D711yescharacteristic
1098C22×C4C23×D711yescharacteristic
1099C22×C4C23×D711yescharacteristic
1100C22×C4C23×D711yescharacteristic
1101C22×C4C23×D711yescharacteristic
1102C22×C4C23×D711yescharacteristic
1103C22×C4C23×D711yescharacteristic
1104C22×C4C23×D711yescharacteristic
1105C22×C4C23×D711yescharacteristic
1106C22×C4C23×D711yescharacteristic
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—74no—
1120C4⋊C4—142no—
1121C4⋊C4—142no—
1122C4⋊C4—142no—
1123C4⋊C4—142no—
1124C4⋊C4—142no—
1125C4⋊C4—142no—
1126C4⋊C4—142no—
1127C4⋊C4—142no—
1128C4⋊C4—142no—
1129C4⋊C4—142no—
1130C4⋊C4—142no—
1131C4⋊C4—281no—
1132C4⋊C4—281no—
1133C4⋊C4—281no—
1134C4⋊C4—281no—
1135C4⋊C4—281no—
1136C4⋊C4—281no—
1137C4⋊C4—281no—
1138C4⋊C4—281no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—142no—
1145C22⋊C4—142no—
1146C22⋊C4—142no—
1147C22⋊C4—142no—
1148C22⋊C4—142no—
1149C22⋊C4—142no—
1150C22⋊C4—142no—
1151C22⋊C4—142no—
1152C22⋊C4—142no—
1153C22⋊C4—142no—
1154C22⋊C4—142no—
1155C22⋊C4—142no—
1156C22⋊C4—142no—
1157C22⋊C4—142no—
1158C22⋊C4—142no—
1159C22⋊C4—142no—
1160C22⋊C4—142no—
1161C22⋊C4—142no—
1162C22⋊C4—281no—
1163C22⋊C4—281no—
1164C22⋊C4—281no—
1165C22⋊C4—281no—
1166C22⋊C4—281no—
1167C22⋊C4—281no—
1168C22⋊C4—281no—
1169C22⋊C4—281no—
1170C22⋊C4#115914yes—
1171C42—22no—
1172C42—22no—
1173C42—22no—
1174C42—22no—
1175C42—74no—
1176C42—74no—
1177C42—142no—
1178C42—142no—
1179C42—142no—
1180C42—142no—
1181C42—142no—
1182C42—142no—
1183C42—142no—
1184C42—142no—
1185C42—142no—
1186C42—142no—
1187C42—142no—
1188C42—142no—
1189C42—142no—
1190C42—142no—
1191C42—142no—
1192C42—142no—
1193C42—281no—
1194C42—281no—
1195C42—281no—
1196C42—281no—
1197C42—281no—
1198C42—281no—
1199C2×C7—42no—
1200C2×C7C2×#52911yescharacteristic
1201C2×C7#344411yescharacteristic
1202C2×C7#345511yescharacteristic
1203C2×C7#347511yescharacteristic
1204C2×C7#347511yescharacteristic
1205C2×C7#347511yescharacteristic
1206C2×C7#348011yescharacteristic
1207D7—42no—
1208D7—81no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—72no—
1216C23—141no—
1217C23—141no—
1218C23—141no—
1219C23—141no—
1220C23—141no—
1221C23—141no—
1222C23—141no—
1223C23—141no—
1224C23—141no—
1225C23—141no—
1226C23—141no—
1227C23—141no—
1228C23—141no—
1229C23C2×#115912yes—
1230C23C24×D711yescharacteristic
1231Q8—284no—
1232D4—284no—
1233D4—284no—
1234D4—284no—
1235C2×C4—28no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—72no—
1273C2×C4—72no—
1274C2×C4—72no—
1275C2×C4—72no—
1276C2×C4—72no—
1277C2×C4—72no—
1278C2×C4—72no—
1279C2×C4—148no—
1280C2×C4—141no—
1281C2×C4—141no—
1282C2×C4—141no—
1283C2×C4—141no—
1284C2×C4—141no—
1285C2×C4—141no—
1286C2×C4—141no—
1287C2×C4—141no—
1288C2×C4—141no—
1289C2×C4—141no—
1290C2×C4—141no—
1291C2×C4—141no—
1292C2×C4—141no—
1293C2×C4—141no—
1294C2×C4—141no—
1295C2×C4—141no—
1296C2×C4—141no—
1297C2×C4—141no—
1298C2×C4—141no—
1299C2×C4—141no—
1300C2×C4—141no—
1301C2×C4—141no—
1302C2×C4—141no—
1303C2×C4—141no—
1304C2×C4—141no—
1305C2×C4—141no—
1306C2×C4—141no—
1307C2×C4—141no—
1308C2×C4—141no—
1309C2×C4—141no—
1310C2×C4—141no—
1311C2×C4—141no—
1312C2×C4—141no—
1313C2×C4—141no—
1314C2×C4—141no—
1315C2×C4—284no—
1316C2×C4—284no—
1317C2×C4—284no—
1318C2×C4—284no—
1319C2×C4—284no—
1320C2×C4C2×#115912yes—
1321C2×C4C2×#115912yes—
1322C2×C4D7×#4112yes—
1323C2×C4D7×#4112yes—
1324C2×C4D7×#4112yes—
1325C2×C4D7×#4112yes—
1326C7#3488411yescharacteristic, complemented, Sylow
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—142no—
1335C22—142no—
1336C22—142no—
1337C22—281no—
1338C22—281no—
1339C22—281no—
1340C22—281no—
1341C22—281no—
1342C22—281no—
1343C22—281no—
1344C22—281no—
1345C22—281no—
1346C22—281no—
1347C22—281no—
1348C22C22×#115911yescharacteristic
1349C22C2×D7×#4111yescharacteristic
1350C22C2×D7×#4111yescharacteristic
1351C22C2×D7×#4111yescharacteristic
1352C22C2×D7×#4111yescharacteristic
1353C22#9062011yescharacteristic
1354C22#9062011yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—74no—
1370C4—142no—
1371C4—142no—
1372C4—142no—
1373C4—142no—
1374C4—281no—
1375C4—281no—
1376C4—281no—
1377C4—281no—
1378C4—281no—
1379C4—281no—
1380C4—281no—
1381C4—281no—
1382C4—281no—
1383C2—42no—
1384C2—282no—
1385C2—561no—
1386C2#1174308611yescharacteristic
1387C2D7×#52911yescharacteristic
1388C2#1174356311yescharacteristic
1389C2#1174374311yescharacteristic
1390C2#1174374311yescharacteristic
1391C2#1174389411yescharacteristic
1392C2#1174404811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2478C2
prime radicalC2×#6447C22
hypercenter#2478D7
hypocenterC7#34884
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2478

Complements

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

NH ≅ G/Ntype
1. C7×#2478C2semidirect
3. Dic7×#126C2semidirect
5. Dic7×#117C2semidirect
6. #11735250C2semidirect
7. #11735236C2semidirect
8. #11735186C2semidirect
9. #11735183C2semidirect
10. #11734977C2semidirect
11. #11734970C2semidirect
12. #11734905C2semidirect
13. #11734903C2semidirect
14. #11733539C2semidirect
15. #11733503C2semidirect
16. #11733410C2semidirect
17. #11733406C2semidirect
18. #11733062C2semidirect
20. #11732813C2semidirect
21. #11732798C2semidirect
22. #11732512C2semidirect
23. #11732387C2semidirect
24. #11732384C2semidirect
25. #11732383C2semidirect
26. #11731896C2semidirect
27. #11731893C2semidirect
28. #11731822C2semidirect
29. #11731822C2semidirect
30. #11731153C2semidirect
31. C4×#6455C2semidirect
371. #2478D7semidirect
1326. C7#34884semidirect

Maximal subgroups

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

subgroupindex
C7×#24782
#117405542
Dic7×#1262
#117397252
Dic7×#1172
#117352502
#117352362
#117351862
#117351832
#117349772
#117349702
#117349052
#117349032
#117335392
#117335032
#117334102
#117334062
#117330622
#117328972
#117328132
#117327982
#117325122
#117323872
#117323842
#117323832
#117318962
#117318932
#117318222
#117311532
C4×#64552
#348847