Finite Group Databasebeta

← #14216859

Subgroups — #14216859

Order 1792.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2603C211yesmaximal, characteristic, complemented
2#11740551C211yesmaximal, characteristic, complemented
3#11740550C211yesmaximal, characteristic, complemented
4#11739864C211yesmaximal, characteristic, complemented
5C4×#6500C211yesmaximal, characteristic, complemented
6#11735405C211yesmaximal, characteristic, complemented
7#11735249C211yesmaximal, characteristic, complemented
8#11734979C211yesmaximal, characteristic, complemented
9#11734973C211yesmaximal, characteristic, complemented
10#11734587C211yesmaximal, characteristic, complemented
11#11734366C211yesmaximal, characteristic, complemented
12#11734210C211yesmaximal, characteristic
13#11734124C211yesmaximal, characteristic, complemented
14#11733912C211yesmaximal, characteristic, complemented
15#11733878C211yesmaximal, characteristic, complemented
16#11733816C211yesmaximal, characteristic, complemented
17#11733795C211yesmaximal, characteristic, complemented
18#11733362C211yesmaximal, characteristic, complemented
19#11733333C211yesmaximal, characteristic, complemented
20#11733074C211yesmaximal, characteristic, complemented
21#11732930C211yesmaximal, characteristic, complemented
22#11732206C211yesmaximal, characteristic, complemented
23#11732162C211yesmaximal, characteristic, complemented
24#11732124C211yesmaximal, characteristic, complemented
25#11732104C211yesmaximal, characteristic, complemented
26#11731938C211yesmaximal, characteristic, complemented
27#11731880C211yesmaximal, characteristic, complemented
28#11731842C211yesmaximal, characteristic, complemented
29#11731824C211yesmaximal, characteristic, complemented
30#11730841C211yesmaximal, characteristic, complemented
31#11730840C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic, complemented
34C2×C4×C7×D4C2211yescharacteristic
35C2×#6503C2211yescharacteristic
36C2×#6501C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6499C2211yescharacteristic, complemented
40C2×D4×Dic7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic, complemented
44C2×#6456C2211yescharacteristic
45C2×#6456C2211yescharacteristic
46C2×D7×C4⋊C4C2211yescharacteristic, complemented
47C2×#6447C2211yescharacteristic
48C2×#6445C2211yescharacteristic
49C2×(C22⋊D7)⋊C4C2211yescharacteristic
50C2×(C22⋊D7)⋊C4C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
53C2×#6442C2211yescharacteristic
54C2×#6442C2211yescharacteristic, complemented
55C2×#6439C2211yescharacteristic
56C2×#6438C2211yescharacteristic
57C7×#398C2211yescharacteristic, complemented
58C7×#397C2211yescharacteristic, complemented
59C7×#394C2211yescharacteristic
60C7×#392C2211yescharacteristic
61C7×#390C2211yescharacteristic
62C7×#390C2211yescharacteristic, complemented
63C7×#388C2211yescharacteristic
64C7×#388C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic
66C7×#386C2211yescharacteristic, complemented
67C7×#385C2211yescharacteristic
68C7×#385C2211yescharacteristic, complemented
69C7×#376C2211yescharacteristic, complemented
70#89995C2211yescharacteristic
71#89995C2211yescharacteristic
72#89994C2211yescharacteristic
73#89994C2211yescharacteristic
74#89992C2211yescharacteristic
75#89992C2211yescharacteristic, complemented
76#89985C2211yescharacteristic
77#89983C2211yescharacteristic, complemented
78#89982C2211yescharacteristic
79C4×C22⋊Dic7C2211yescharacteristic
80#89766C2211yescharacteristic
81#89766C2211yescharacteristic
82#89765C2211yescharacteristic
83#89764C2211yescharacteristic
84#89763C2211yescharacteristic
85#89762C2211yescharacteristic
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic
89#89761C2211yescharacteristic
90#89761C2211yescharacteristic, complemented
91#89759C2211yescharacteristic, complemented
92#89756C2211yescharacteristic, complemented
93#89753C2211yescharacteristic, complemented
94#89750C2211yescharacteristic, complemented
95#89750C2211yescharacteristic, complemented
96#89750C2211yescharacteristic, complemented
97#89746C2211yescharacteristic, complemented
98#89745C2211yescharacteristic, complemented
99#89745C2211yescharacteristic, complemented
100#89744C2211yescharacteristic, complemented
101#89733C2211yescharacteristic
102#89733C2211yescharacteristic
103#89733C2211yescharacteristic
104#89732C2211yescharacteristic
105#89731C2211yescharacteristic
106#89731C2211yescharacteristic
107#89731C2211yescharacteristic
108#89731C2211yescharacteristic
109#89731C2211yescharacteristic
110#89731C2211yescharacteristic, complemented
111#89731C2211yescharacteristic, complemented
112#89729C2211yescharacteristic
113#89729C2211yescharacteristic
114#89729C2211yescharacteristic
115#89729C2211yescharacteristic, complemented
116#89729C2211yescharacteristic, complemented
117#89728C2211yescharacteristic
118#89728C2211yescharacteristic
119#89728C2211yescharacteristic
120#89728C2211yescharacteristic
121#89728C2211yescharacteristic
122#89728C2211yescharacteristic, complemented
123#89728C2211yescharacteristic, complemented
124#89727C2211yescharacteristic
125#89727C2211yescharacteristic
126#89727C2211yescharacteristic
127#89724C2211yescharacteristic, complemented
128#89723C2211yescharacteristic, complemented
129#89723C2211yescharacteristic, complemented
130#89721C2211yescharacteristic
131#89719C2211yescharacteristic
132#89718C2211yescharacteristic
133#89718C2211yescharacteristic, complemented
134#89717C2211yescharacteristic, complemented
135#89717C2211yescharacteristic, complemented
136#89717C2211yescharacteristic, complemented
137#89716C2211yescharacteristic
138#89716C2211yescharacteristic
139#89716C2211yescharacteristic
140#89716C2211yescharacteristic, complemented
141#89716C2211yescharacteristic, complemented
142#89715C2211yescharacteristic, complemented
143C22⋊C4×Dic7C2211yescharacteristic
144C22⋊C4×Dic7C2211yescharacteristic
145#89712C2211yescharacteristic
146#89712C2211yescharacteristic
147#89712C2211yescharacteristic, complemented
148C4×(C2×D7)⋊C4C2211yescharacteristic
149C4×(C2×D7)⋊C4C2211yescharacteristic
150C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
151C4×C4⋊Dic7C2211yescharacteristic, complemented
152#89705C2211yescharacteristic, complemented
153#89704C2211yescharacteristic, complemented
154C4×Dic7⋊C4C2211yescharacteristic, complemented
155#89447C2211yescharacteristic
156#89445C2211yescharacteristic
157#89442C2211yescharacteristic
158#89441C2211yescharacteristic
159#89441C2211yescharacteristic
160#89441C2211yescharacteristic, complemented
161#89440C2211yescharacteristic
162#89440C2211yescharacteristic
163#89440C2211yescharacteristic, complemented
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic
167#89438C2211yescharacteristic
168#89438C2211yescharacteristic, complemented
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89432C2211yescharacteristic, complemented
175#89430C2211yescharacteristic, complemented
176#89427C2211yescharacteristic, complemented
177#89426C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#60031—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×C4×D7—42no—
206C22×C4×D7—42no—
207C22×C4×D7—42no—
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#126—42no—
217C4×C7×D4—42no—
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254#6503—24no—
255#6501—24no—
256#6500—24no—
257#6500—24no—
258#6499—42no—
259D4×Dic7—42no—
260C4×C22⋊D7—42no—
261C4×C22⋊D7—42no—
262C4×C22⋊D7—42no—
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×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319#6456—42no—
320#6456—42no—
321D7×C4⋊C4—42no—
322#6447—24no—
323#6445—24no—
324(C22⋊D7)⋊C4—42no—
325(C22⋊D7)⋊C4—42no—
326(C22⋊D7)⋊C4—42no—
327(C22⋊D7)⋊C4—42no—
328#6442—24no—
329#6442—42no—
330#6439—24no—
331#6438—24no—
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#2685—71no—
371#2685—71no—
372#2684—71no—
373#2669—71no—
374#2603—71no—
375#2603D711yescharacteristic, complemented
376#2600—71no—
377#2600—71no—
378#2595—71no—
379#2595—71no—
380#2589—71no—
381#2589—71no—
382#2579—71no—
383#2559—71no—
384#2559—71no—
385#2544—71no—
386#2467—71no—
387#2467—71no—
388#2466—71no—
389#2466—71no—
390#2459—71no—
391#2459—71no—
392#2373—71no—
393#2373—71no—
394#2372—71no—
395#2366—71no—
396#2361—71no—
397#2361—71no—
398C4×#120—71no—
399C4×#120—71no—
400C4×#120—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C24×C7C2411yescharacteristic
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×D4—22no—
415C2×C7×D4—22no—
416C2×C7×D4—22no—
417C2×C7×D4—22no—
418C2×C7×D4—41no—
419C2×C7×D4—41no—
420C2×C7×D4—41no—
421C2×C7×D4—41no—
422C2×C7×D4—41no—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C2×C22⋊D7—22no—
442C2×C22⋊D7—22no—
443C2×C22⋊D7—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C22×Dic7—22no—
463C22×Dic7—22no—
464C22×Dic7—22no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7—41no—
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C2×D28—22no—
482C2×D28—22no—
483C2×D28—41no—
484C2×D28—41no—
485C2×D28—41no—
486C2×D28#4114yes—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—416no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×Dic14—22no—
510C2×Dic14—41no—
511C2×Dic14—41no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—41no—
514C7×C4⋊C4—41no—
515C7×C4⋊C4—41no—
516C7×C4⋊C4—41no—
517C7×C4⋊C4—41no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C42×C7—22no—
532C42×C7—22no—
533C42×C7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7#4114yes—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
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#4114yes—
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—41no—
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C24×C4—71no—
605C2×#127—71no—
606C2×#126—71no—
607C2×#126—71no—
608C2×#126—71no—
609C2×#126C2×D711yescharacteristic, complemented
610C2×#124—71no—
611C2×#124—71no—
612C2×#121—71no—
613C2×#121—71no—
614C2×#120—71no—
615C2×#120—71no—
616C2×#120—71no—
617C2×C4×D4—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4C2×D711yescharacteristic
628C22×C4⋊C4—71no—
629#400—71no—
630#400—71no—
631#399—71no—
632#399—71no—
633#398—71no—
634#398C2×D711yescharacteristic, complemented
635#397—71no—
636#397—71no—
637#397—71no—
638#397C2×D711yescharacteristic, complemented
639#396—71no—
640#396—71no—
641#394—71no—
642#394—71no—
643#394—71no—
644#394—71no—
645#394—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394—71no—
654#394C2×D711yescharacteristic
655#393—71no—
656#393—71no—
657#392—71no—
658#392—71no—
659#392—71no—
660#392C2×D711yescharacteristic
661#391—71no—
662#391—71no—
663#391—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390C2×D711yescharacteristic
670#390C2×D711yescharacteristic, complemented
671#389—71no—
672#389—71no—
673#389—71no—
674#389—71no—
675#388—71no—
676#388—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#388—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388C2×D711yescharacteristic
694#388C2×D711yescharacteristic, complemented
695#387—71no—
696#387—71no—
697#387—71no—
698#387—71no—
699#387—71no—
700#387—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386—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#386C2×D711yescharacteristic
721#386C2×D711yescharacteristic, complemented
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385C2×D711yescharacteristic
734#385C2×D711yescharacteristic, complemented
735#381—71no—
736#381—71no—
737#380—71no—
738#379—71no—
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757#376—71no—
758#376C2×D711yescharacteristic, complemented
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7C2×#4112yes—
780C23×C7C2511yescharacteristic
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—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C22×D7C2×#4112yes—
809C7×D4—44no—
810C7×D4—44no—
811C7×D4—82no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—44no—
846C2×C4×C7—82no—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
849C2×C4×C7H(5,𝔽2)12yes—
850C22⋊D7—44no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C22⋊D7—44no—
856C22⋊D7—44no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—44no—
892C2×Dic7—82no—
893C2×Dic7C2×#4112yes—
894C2×Dic7C2×#4112yes—
895C2×Dic7C2×#4112yes—
896C2×Dic7H(5,𝔽2)12yes—
897C2×Dic7H(5,𝔽2)12yes—
898D28—44no—
899D28—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—82no—
906C4×D7—82no—
907Dic14—82no—
908C25—71no—
909C22×Q8—71no—
910C22×D4—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4C22×D711yescharacteristic
920C22×D4C22×D711yescharacteristic
921C22×D4C22×D711yescharacteristic
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—282no—
932C23×C4—282no—
933C23×C4—282no—
934C23×C4C22×D711yescharacteristic
935C23×C4C22×D711yescharacteristic
936#127—144no—
937#126—42no—
938#126—144no—
939#126—144no—
940#126—282no—
941#124—144no—
942#124—282no—
943#121—144no—
944#121—144no—
945#120—144no—
946#120—144no—
947#120—144no—
948C4×D4—42no—
949C4×D4—282no—
950C4×D4—282no—
951C4×D4—282no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—282no—
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×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
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⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—41no—
1094C22×C7—41no—
1095C22×C7—41no—
1096C22×C7—41no—
1097C22×C7—41no—
1098C22×C7—41no—
1099C22×C7—41no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7C22×#4111yescharacteristic
1112C22×C7C22×#4111yescharacteristic
1113C22×C7C22×#4111yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×H(5,𝔽2)11yescharacteristic
1117C22×C7#58511yescharacteristic
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—416no—
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—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—41no—
1144C4×C7—41no—
1145C4×C7—41no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165C24—71no—
1166C24—71no—
1167C24—71no—
1168C24—142no—
1169C24—142no—
1170C24—142no—
1171C24—281no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24C23×D711yescharacteristic
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—142no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—74no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—2816no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—142no—
1293C4⋊C4—142no—
1294C4⋊C4—142no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—74no—
1315C22⋊C4—74no—
1316C22⋊C4—142no—
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—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
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—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—142no—
1357C42—142no—
1358C42—142no—
1359C42—142no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7—81no—
1370C2×C7—81no—
1371C2×C7#348111yescharacteristic
1372C2×C7#348111yescharacteristic
1373C2×C7#348111yescharacteristic
1374C2×C7#350511yescharacteristic
1375C2×C7#350611yescharacteristic
1376C2×C7#350611yescharacteristic
1377C2×C7#353211yescharacteristic
1378D7—42no—
1379D7—42no—
1380D7—42no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—72no—
1402C23—72no—
1403C23—72no—
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—284no—
1423C23—284no—
1424C23—284no—
1425C23—284no—
1426C23—284no—
1427C23—284no—
1428C23—284no—
1429C23D7×#4112yes—
1430C23C24×D711yescharacteristic
1431Q8—562no—
1432D4—44no—
1433D4—44no—
1434D4—82no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—284no—
1439D4—284no—
1440D4—284no—
1441D4—284no—
1442D4—284no—
1443D4—284no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
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—44no—
1478C2×C4—72no—
1479C2×C4—72no—
1480C2×C4—72no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—82no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
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—284no—
1519C2×C4—284no—
1520C2×C4—284no—
1521C2×C4—284no—
1522C2×C4—284no—
1523C2×C4—284no—
1524C2×C4—562no—
1525C2×C4—562no—
1526C2×C4—562no—
1527C2×C4#654812yes—
1528C2×C4D7×#4112yes—
1529C2×C4D7×#4112yes—
1530C7#6003111yescharacteristic, complemented, Sylow
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—142no—
1560C22—142no—
1561C22—2816no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22C2×#654811yescharacteristic
1575C22C2×D7×#4111yescharacteristic
1576C22C2×D7×#4111yescharacteristic
1577C22C2×D7×#4111yescharacteristic
1578C22#9061611yescharacteristic
1579C22D7×H(5,𝔽2)11yescharacteristic
1580C22D7×H(5,𝔽2)11yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—142no—
1594C4—142no—
1595C4—142no—
1596C4—142no—
1597C4—142no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C2—42no—
1607C2—81no—
1608C2—81no—
1609C2—282no—
1610C2—282no—
1611C2—282no—
1612C2#1174309711yescharacteristic
1613C2#1174330711yescharacteristic
1614C2#1174340111yescharacteristic
1615C2#1174385911yescharacteristic
1616C2#1174388511yescharacteristic
1617C2#1174394411yescharacteristic
1618C2#1174398111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2603C2
prime radical#11734210C2
hypercenter#2603D7
hypocenterC7#60031
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2603

Complements

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

NH ≅ G/Ntype
1. C7×#2603C2semidirect
2. #11740551C2semidirect
3. #11740550C2semidirect
4. #11739864C2semidirect
5. C4×#6500C2semidirect
6. #11735405C2semidirect
7. #11735249C2semidirect
8. #11734979C2semidirect
9. #11734973C2semidirect
10. #11734587C2semidirect
11. #11734366C2semidirect
13. #11734124C2semidirect
14. #11733912C2semidirect
15. #11733878C2semidirect
16. #11733816C2semidirect
17. #11733795C2semidirect
18. #11733362C2semidirect
19. #11733333C2semidirect
20. #11733074C2semidirect
21. #11732930C2semidirect
22. #11732206C2semidirect
23. #11732162C2semidirect
24. #11732124C2semidirect
25. #11732104C2semidirect
26. #11731938C2semidirect
27. #11731880C2semidirect
28. #11731842C2semidirect
29. #11731824C2semidirect
30. #11730841C2semidirect
31. #11730840C2semidirect
33. C2×C7×#126C22semidirect
39. C2×#6499C22semidirect
43. C2×C4×C22⋊D7C22semidirect
46. C2×D7×C4⋊C4C22semidirect
52. C2×(C22⋊D7)⋊C4C22semidirect
54. C2×#6442C22semidirect
57. C7×#398C22semidirect
58. C7×#397C22semidirect
62. C7×#390C22semidirect
64. C7×#388C22semidirect
66. C7×#386C22semidirect
68. C7×#385C22semidirect
69. C7×#376C22semidirect
75. #89992C22semidirect
77. #89983C22semidirect
90. #89761C22semidirect
91. #89759C22semidirect
92. #89756C22semidirect
93. #89753C22semidirect
94. #89750C22semidirect
95. #89750C22semidirect
96. #89750C22semidirect
97. #89746C22semidirect
98. #89745C22semidirect
99. #89745C22semidirect
100. #89744C22semidirect
110. #89731C22semidirect
111. #89731C22semidirect
115. #89729C22semidirect
116. #89729C22semidirect
122. #89728C22semidirect
123. #89728C22semidirect
127. #89724C22semidirect
128. #89723C22semidirect
129. #89723C22semidirect
133. #89718C22semidirect
134. #89717C22semidirect
135. #89717C22semidirect
136. #89717C22semidirect
140. #89716C22semidirect
141. #89716C22semidirect
142. #89715C22semidirect
147. #89712C22semidirect
150. C4×(C2×D7)⋊C4C22semidirect
151. C4×C4⋊Dic7C22semidirect
152. #89705C22semidirect
153. #89704C22semidirect
154. C4×Dic7⋊C4C22semidirect
160. #89441C22semidirect
163. #89440C22semidirect
168. #89438C22semidirect
174. #89432C22semidirect
175. #89430C22semidirect
176. #89427C22semidirect
177. #89426C22semidirect
178. #89424C22semidirect
179. #89424C22semidirect
180. #89424C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89419C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
375. #2603D7semidirect
609. C2×#126C2×D7semidirect
634. #398C2×D7semidirect
638. #397C2×D7semidirect
670. #390C2×D7semidirect
694. #388C2×D7semidirect
721. #386C2×D7semidirect
734. #385C2×D7semidirect
758. #376C2×D7semidirect
1530. C7#60031semidirect

Maximal subgroups

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

subgroupindex
C7×#26032
#117405512
#117405502
#117398642
C4×#65002
#117354052
#117352492
#117349792
#117349732
#117345872
#117343662
#117342102
#117341242
#117339122
#117338782
#117338162
#117337952
#117333622
#117333332
#117330742
#117329302
#117322062
#117321622
#117321242
#117321042
#117319382
#117318802
#117318422
#117318242
#117308412
#117308402
#600317