Finite Group Databasebeta

← #14217034

Subgroups — #14217034

Order 1792.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2526C211yesmaximal, characteristic, complemented
2#11735742C211yesmaximal, characteristic, complemented
3#11735583C211yesmaximal, characteristic, complemented
4#11734981C211yesmaximal, characteristic, complemented
5#11734979C211yesmaximal, characteristic, complemented
6#11734867C211yesmaximal, characteristic, complemented
7#11734859C211yesmaximal, characteristic, complemented
8#11734573C211yesmaximal, characteristic
9#11734367C211yesmaximal, characteristic, complemented
10#11733882C211yesmaximal, characteristic, complemented
11#11733738C211yesmaximal, characteristic, complemented
12#11733651C211yesmaximal, characteristic, complemented
13#11733610C211yesmaximal, characteristic, complemented
14#11733341C211yesmaximal, characteristic, complemented
15#11733328C211yesmaximal, characteristic, complemented
16#11733309C211yesmaximal, characteristic, complemented
17#11733296C211yesmaximal, characteristic, complemented
18#11733281C211yesmaximal, characteristic, complemented
19#11733041C211yesmaximal, characteristic, complemented
20#11732963C211yesmaximal, characteristic, complemented
21#11732922C211yesmaximal, characteristic, complemented
22#11732459C211yesmaximal, characteristic, complemented
23#11732384C211yesmaximal, characteristic, complemented
24#11732373C211yesmaximal, characteristic, complemented
25#11732324C211yesmaximal, characteristic, complemented
26#11731576C211yesmaximal, characteristic, complemented
27#11731527C211yesmaximal, characteristic, complemented
28#11731022C211yesmaximal, characteristic, complemented
29#11730923C211yesmaximal, characteristic, complemented
30#11730870C211yesmaximal, characteristic, complemented
31#11730830C211yesmaximal, characteristic, complemented
32C2×#6503C2211yescharacteristic
33C2×#6500C2211yescharacteristic
34C2×D4×Dic7C2211yescharacteristic
35C2×#6492C2211yescharacteristic
36C22×(C2×D7)⋊C4C2211yescharacteristic
37C2×#6458C2211yescharacteristic
38C2×#6457C2211yescharacteristic
39C2×#6456C2211yescharacteristic
40C2×#6456C2211yescharacteristic, complemented
41C2×#6455C2211yescharacteristic
42C2×D7×C4⋊C4C2211yescharacteristic, complemented
43C2×#6447C2211yescharacteristic
44C2×#6446C2211yescharacteristic
45C2×#6445C2211yescharacteristic
46C2×#6445C2211yescharacteristic
47C2×(C22⋊D7)⋊C4C2211yescharacteristic
48C2×(C22⋊D7)⋊C4C2211yescharacteristic
49C2×(C22⋊D7)⋊C4C2211yescharacteristic
50C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
51C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
52C2×D7×C22⋊C4C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic
54C2×#6442C2211yescharacteristic, complemented
55C2×#6439C2211yescharacteristic, complemented
56C2×C4×D28C2211yescharacteristic
57C2×C4×D28C2211yescharacteristic
58C2×#6435C2211yescharacteristic
59C7×#400C2211yescharacteristic, complemented
60C7×#397C2211yescharacteristic, complemented
61C7×#396C2211yescharacteristic
62C7×#394C2211yescharacteristic
63C7×#390C2211yescharacteristic
64C7×#389C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic, complemented
67C7×#388C2211yescharacteristic, complemented
68C7×#388C2211yescharacteristic, complemented
69C7×#387C2211yescharacteristic, complemented
70C7×#386C2211yescharacteristic
71C7×#381C2211yescharacteristic
72C4×C7×C22⋊C4C2211yescharacteristic
73C7×#376C2211yescharacteristic, complemented
74#89994C2211yescharacteristic
75#89985C2211yescharacteristic
76C4×C22⋊Dic7C2211yescharacteristic
77#89766C2211yescharacteristic
78#89766C2211yescharacteristic
79#89763C2211yescharacteristic
80#89762C2211yescharacteristic
81#89761C2211yescharacteristic
82#89761C2211yescharacteristic
83#89761C2211yescharacteristic
84#89761C2211yescharacteristic, complemented
85#89761C2211yescharacteristic, complemented
86#89760C2211yescharacteristic
87#89759C2211yescharacteristic, complemented
88#89756C2211yescharacteristic, complemented
89#89756C2211yescharacteristic, complemented
90#89755C2211yescharacteristic, complemented
91#89753C2211yescharacteristic, complemented
92#89752C2211yescharacteristic, complemented
93#89748C2211yescharacteristic, complemented
94C4⋊C4×Dic7C2211yescharacteristic, complemented
95#89733C2211yescharacteristic
96#89733C2211yescharacteristic, complemented
97#89732C2211yescharacteristic
98#89732C2211yescharacteristic
99#89732C2211yescharacteristic
100#89731C2211yescharacteristic
101#89731C2211yescharacteristic
102#89731C2211yescharacteristic, complemented
103#89731C2211yescharacteristic, complemented
104#89730C2211yescharacteristic
105#89729C2211yescharacteristic
106#89729C2211yescharacteristic
107#89729C2211yescharacteristic
108#89729C2211yescharacteristic
109#89729C2211yescharacteristic, complemented
110#89729C2211yescharacteristic, complemented
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic
115#89728C2211yescharacteristic, complemented
116#89727C2211yescharacteristic
117#89723C2211yescharacteristic
118#89722C2211yescharacteristic
119#89722C2211yescharacteristic, complemented
120#89720C2211yescharacteristic
121#89718C2211yescharacteristic
122#89717C2211yescharacteristic
123#89716C2211yescharacteristic
124#89716C2211yescharacteristic, complemented
125#89715C2211yescharacteristic, complemented
126#89714C2211yescharacteristic
127#89712C2211yescharacteristic
128#89712C2211yescharacteristic
129#89712C2211yescharacteristic, complemented
130#89711C2211yescharacteristic
131#89711C2211yescharacteristic, complemented
132C4×(C2×D7)⋊C4C2211yescharacteristic
133C4×(C2×D7)⋊C4C2211yescharacteristic
134C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
135#89705C2211yescharacteristic, complemented
136C4×Dic7⋊C4C2211yescharacteristic, complemented
137C4×Dic7⋊C4C2211yescharacteristic, complemented
138C42×Dic7C2211yescharacteristic, complemented
139#89448C2211yescharacteristic
140#89448C2211yescharacteristic
141#89446C2211yescharacteristic, complemented
142#89444C2211yescharacteristic
143#89444C2211yescharacteristic
144#89444C2211yescharacteristic, complemented
145#89443C2211yescharacteristic
146#89442C2211yescharacteristic
147#89442C2211yescharacteristic
148#89442C2211yescharacteristic, complemented
149#89441C2211yescharacteristic
150#89441C2211yescharacteristic
151#89441C2211yescharacteristic
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic
154#89441C2211yescharacteristic, complemented
155#89441C2211yescharacteristic, complemented
156#89441C2211yescharacteristic, complemented
157#89441C2211yescharacteristic, complemented
158#89440C2211yescharacteristic
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic, complemented
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic, complemented
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic, complemented
173#89436C2211yescharacteristic, complemented
174#89433C2211yescharacteristic, complemented
175#89431C2211yescharacteristic, complemented
176#89429C2211yescharacteristic, complemented
177#89426C2211yescharacteristic, complemented
178#89425C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89424C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#60040—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C2×C7×C4⋊C4C2311yescharacteristic
213C2×C7×C4⋊C4C2311yescharacteristic
214C2×C7×C4⋊C4C2311yescharacteristic
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C22⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C42×C7C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C22⋊Dic7C2311yescharacteristic
234C2×C22⋊Dic7C2311yescharacteristic
235C2×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240#6503—24no—
241#6500—24no—
242D4×Dic7—42no—
243#6492—24no—
244C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312#6458—24no—
313#6457—42no—
314#6456—42no—
315#6456—42no—
316#6455—24no—
317D7×C4⋊C4—42no—
318#6447—24no—
319#6446—42no—
320#6445—24no—
321#6445—24no—
322(C22⋊D7)⋊C4—42no—
323(C22⋊D7)⋊C4—42no—
324(C22⋊D7)⋊C4—42no—
325(C22⋊D7)⋊C4—42no—
326(C22⋊D7)⋊C4—42no—
327D7×C22⋊C4—42no—
328D7×C22⋊C4—42no—
329#6442—42no—
330#6439—42no—
331C4×D28—42no—
332C4×D28—42no—
333#6435—24no—
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#2790—71no—
371#2790—71no—
372#2709—71no—
373#2669—71no—
374#2603—71no—
375#2603—71no—
376#2600—71no—
377#2600—71no—
378#2579—71no—
379#2554—71no—
380#2554—71no—
381#2534—71no—
382#2526—71no—
383#2526D711yescharacteristic, complemented
384#2476—71no—
385#2476—71no—
386#2468—71no—
387#2468—71no—
388#2457—71no—
389#2457—71no—
390#2411—71no—
391#2411—71no—
392#2374—71no—
393#2361—71no—
394#2361—71no—
395#2358—71no—
396#2358—71no—
397#2358—71no—
398C4×#127—71no—
399#2298—71no—
400#2298—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7C2411yescharacteristic
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×D4—22no—
415C2×C7×D4—22no—
416C2×C7×D4—41no—
417C22×C4×C7—22no—
418C22×C4×C7—41no—
419C22×C4×C7—41no—
420C22×C4×C7C2411yescharacteristic
421C22×C4×C7C2411yescharacteristic
422C22×C4×C7C2411yescharacteristic
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C2×C22⋊D7—22no—
434C2×C22⋊D7—22no—
435C2×C22⋊D7—22no—
436C2×C22⋊D7—22no—
437C2×C22⋊D7—22no—
438C2×C22⋊D7—22no—
439C2×C22⋊D7—22no—
440C2×C22⋊D7—22no—
441C2×C22⋊D7—41no—
442C2×C22⋊D7—41no—
443C2×C22⋊D7—41no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7#4114yes—
451C22×Dic7—22no—
452C22×Dic7—22no—
453C22×Dic7—41no—
454C22×Dic7—41no—
455C22×Dic7—41no—
456C22×Dic7—41no—
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C2×D28—22no—
470C2×D28—22no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28—41no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28—41no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
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—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C7×C4⋊C4—22no—
509C7×C4⋊C4—22no—
510C7×C4⋊C4—41no—
511C7×C4⋊C4—41no—
512C7×C4⋊C4—41no—
513C7×C4⋊C4—41no—
514C7×C22⋊C4—22no—
515C7×C22⋊C4—22no—
516C7×C22⋊C4—22no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—41no—
520C7×C22⋊C4—41no—
521C7×C22⋊C4—41no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C42×C7—22no—
526C42×C7—22no—
527C42×C7—41no—
528C42×C7—41no—
529C22⋊Dic7—22no—
530C22⋊Dic7—22no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—41no—
534C22⋊Dic7—41no—
535C22⋊Dic7—41no—
536(C2×D7)⋊C4—22no—
537(C2×D7)⋊C4—22no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—22no—
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
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—41no—
554(C2×D7)⋊C4—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4#4114yes—
569(C2×D7)⋊C4#4114yes—
570C4⋊Dic7—22no—
571C4⋊Dic7—22no—
572C4⋊Dic7—41no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7—41no—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
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—22no—
597C4×Dic7—22no—
598C4×Dic7—22no—
599C4×Dic7—22no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C2×#127—71no—
604C2×#126—71no—
605C2×#126—71no—
606C2×#123—71no—
607C2×#123—71no—
608C2×#123—71no—
609C2×#121—71no—
610C2×#121—71no—
611C2×#120—71no—
612C2×#120—71no—
613C2×#120—71no—
614C2×C4×D4—71no—
615C2×C4×D4—71no—
616C2×C4×D4—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×#117—71no—
625C2×#117—71no—
626C22×C4⋊C4—71no—
627C22×C22⋊C4—71no—
628C22×C22⋊C4—71no—
629C22×C22⋊C4—71no—
630#400—71no—
631#400C2×D711yescharacteristic, complemented
632#398—71no—
633#398—71no—
634#398—71no—
635#398—71no—
636#398—71no—
637#398—71no—
638#397—71no—
639#397C2×D711yescharacteristic, complemented
640#396—71no—
641#396—71no—
642#396—71no—
643#396—71no—
644#396—71no—
645#396C2×D711yescharacteristic
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#394—71no—
655#394—71no—
656#394—71no—
657#394C2×D711yescharacteristic
658#392—71no—
659#392—71no—
660#392—71no—
661#392—71no—
662#390—71no—
663#390—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390—71no—
670#390—71no—
671#390C2×D711yescharacteristic
672#389—71no—
673#389C2×D711yescharacteristic, complemented
674#388—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#388—71no—
694#388C2×D711yescharacteristic
695#388C2×D711yescharacteristic, complemented
696#388C2×D711yescharacteristic, complemented
697#388C2×D711yescharacteristic, complemented
698#387—71no—
699#387—71no—
700#387—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#387C2×D711yescharacteristic, complemented
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#386—71no—
721#386—71no—
722#386—71no—
723#386C2×D711yescharacteristic
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385—71no—
735#385—71no—
736#384—71no—
737#381—71no—
738#381—71no—
739#381C2×D711yescharacteristic
740#380—71no—
741#380—71no—
742#379—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊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⋊C4C2×D711yescharacteristic
755#376—71no—
756#376C2×D711yescharacteristic, complemented
757C43—71no—
758C23×C7—21no—
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×C7C2×#4112yes—
772C23×C7C2511yescharacteristic
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—82no—
802C22×D7—82no—
803C22×D7—82no—
804C22×D7—82no—
805C22×D7C2×#4112yes—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C7×D4—44no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
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—82no—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7H(5,𝔽2)12yes—
849C22⋊D7—44no—
850C22⋊D7—44no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—82no—
855C2×Dic7—21no—
856C2×Dic7—21no—
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—82no—
887C2×Dic7—82no—
888C2×Dic7C2×#4112yes—
889C2×Dic7C2×#4112yes—
890C2×Dic7C2×#4112yes—
891C2×Dic7H(5,𝔽2)12yes—
892C2×Dic7H(5,𝔽2)12yes—
893D28—44no—
894D28—44no—
895D28—44no—
896D28—44no—
897D28—82no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—82no—
902C4×D7—82no—
903C4×D7—82no—
904C4×D7—82no—
905C4×D7—82no—
906C25—71no—
907C22×D4—71no—
908C22×D4—71no—
909C22×D4—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×D4C22×D711yescharacteristic
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4C22×D711yescharacteristic
930#127—144no—
931#126—282no—
932#126—282no—
933#123—144no—
934#123—282no—
935#123—282no—
936#121—144no—
937#121—144no—
938#120—144no—
939#120—144no—
940#120—144no—
941C4×D4—282no—
942C4×D4—282no—
943C4×D4—282no—
944C4×D4—282no—
945C4×D4—282no—
946C4×D4—282no—
947C4×D4—282no—
948C4×D4—282no—
949C4×D4—282no—
950C4×D4—282no—
951#117—144no—
952#117—144no—
953C2×C4⋊C4—71no—
954C2×C4⋊C4—71no—
955C2×C4⋊C4—71no—
956C2×C4⋊C4—71no—
957C2×C4⋊C4—71no—
958C2×C4⋊C4—71no—
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—282no—
976C2×C4⋊C4C22×D711yescharacteristic
977C2×C4⋊C4C22×D711yescharacteristic
978C2×C4⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—71no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—71no—
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—282no—
1024C2×C22⋊C4—282no—
1025C2×C22⋊C4—282no—
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×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1077#95C22×D711yescharacteristic
1078#95C22×D711yescharacteristic
1079#95C22×D711yescharacteristic
1080#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088C22×C7—22no—
1089C22×C7—22no—
1090C22×C7—22no—
1091C22×C7—41no—
1092C22×C7—41no—
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×C7C22×#4111yescharacteristic
1103C22×C7C22×#4111yescharacteristic
1104C22×C7C22×#4111yescharacteristic
1105C22×C7C2×H(5,𝔽2)11yescharacteristic
1106C22×C7C2×H(5,𝔽2)11yescharacteristic
1107C22×C7C2×H(5,𝔽2)11yescharacteristic
1108C22×C7#58511yescharacteristic
1109C2×D7—22no—
1110C2×D7—22no—
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—41no—
1119C2×D7—41no—
1120C2×D7—41no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—88no—
1138C4×C7—22no—
1139C4×C7—22no—
1140C4×C7—22no—
1141C4×C7—41no—
1142C4×C7—41no—
1143C4×C7—41no—
1144C4×C7—41no—
1145C4×C7—41no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151Dic7—22no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163C24—71no—
1164C24—71no—
1165C24—71no—
1166C24—71no—
1167C24—142no—
1168C24—142no—
1169C24—142no—
1170C24—281no—
1171C24—281no—
1172C24—281no—
1173C24—281no—
1174C24C23×D711yescharacteristic
1175C24C23×D711yescharacteristic
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—74no—
1180C2×D4—142no—
1181C2×D4—142no—
1182C2×D4—142no—
1183C2×D4—142no—
1184C2×D4—142no—
1185C2×D4—142no—
1186C2×D4—142no—
1187C2×D4—142no—
1188C2×D4—142no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4—281no—
1203C2×D4—281no—
1204C2×D4—281no—
1205C2×D4—281no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—71no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—281no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4—281no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
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×C4C23×D711yescharacteristic
1258C22×C4C23×D711yescharacteristic
1259C22×C4C23×D711yescharacteristic
1260C22×C4C23×D711yescharacteristic
1261C22×C4C23×D711yescharacteristic
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—142no—
1277C4⋊C4—142no—
1278C4⋊C4—142no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—281no—
1287C4⋊C4—281no—
1288C4⋊C4—281no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—74no—
1310C22⋊C4—74no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
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—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C42—22no—
1351C42—22no—
1352C42—41no—
1353C42—41no—
1354C42—142no—
1355C42—142no—
1356C42—142no—
1357C42—142no—
1358C42—142no—
1359C42—142no—
1360C42—142no—
1361C42—142no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C2×C7—42no—
1366C2×C7—81no—
1367C2×C7#348111yescharacteristic
1368C2×C7#348111yescharacteristic
1369C2×C7#348111yescharacteristic
1370C2×C7#349411yescharacteristic
1371C2×C7#349411yescharacteristic
1372C2×C7#350511yescharacteristic
1373C2×C7#354311yescharacteristic
1374D7—42no—
1375D7—42no—
1376D7—42no—
1377D7—81no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—72no—
1392C23—72no—
1393C23—72no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—284no—
1420C23—284no—
1421C23—284no—
1422C23—562no—
1423C23—562no—
1424C23—562no—
1425C23—562no—
1426C23D7×#4112yes—
1427C23C24×D711yescharacteristic
1428D4—44no—
1429D4—284no—
1430D4—284no—
1431D4—284no—
1432D4—284no—
1433D4—284no—
1434D4—284no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—562no—
1439D4—562no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
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—72no—
1477C2×C4—72no—
1478C2×C4—72no—
1479C2×C4—72no—
1480C2×C4—72no—
1481C2×C4—82no—
1482C2×C4—141no—
1483C2×C4—141no—
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—284no—
1514C2×C4—284no—
1515C2×C4—284no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4—562no—
1520C2×C4—562no—
1521C2×C4—562no—
1522C2×C4—562no—
1523C2×C4D7×#4112yes—
1524C2×C4D7×#4112yes—
1525C2×C4#655312yes—
1526C7#6004011yescharacteristic, complemented, Sylow
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—568no—
1570C22C2×D7×#4111yescharacteristic
1571C22C2×D7×#4111yescharacteristic
1572C22C2×D7×#4111yescharacteristic
1573C22C2×#655311yescharacteristic
1574C22#9061611yescharacteristic
1575C22D7×H(5,𝔽2)11yescharacteristic
1576C22D7×H(5,𝔽2)11yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—142no—
1591C4—142no—
1592C4—142no—
1593C4—142no—
1594C4—142no—
1595C4—281no—
1596C4—281no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C2—42no—
1603C2—81no—
1604C2—282no—
1605C2—282no—
1606C2—282no—
1607C2—561no—
1608C2#1174322111yescharacteristic
1609C2#1174322411yescharacteristic
1610C2#1174356111yescharacteristic
1611C2#1174385911yescharacteristic
1612C2#1174388511yescharacteristic
1613C2#1174394411yescharacteristic
1614C2#1174402811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2526C2
prime radical#11734573C2
hypercenter#2526D7
hypocenterC7#60040
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2526

Complements

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

NH ≅ G/Ntype
1. C7×#2526C2semidirect
2. #11735742C2semidirect
3. #11735583C2semidirect
4. #11734981C2semidirect
5. #11734979C2semidirect
6. #11734867C2semidirect
7. #11734859C2semidirect
9. #11734367C2semidirect
10. #11733882C2semidirect
11. #11733738C2semidirect
12. #11733651C2semidirect
13. #11733610C2semidirect
14. #11733341C2semidirect
15. #11733328C2semidirect
16. #11733309C2semidirect
17. #11733296C2semidirect
18. #11733281C2semidirect
19. #11733041C2semidirect
20. #11732963C2semidirect
21. #11732922C2semidirect
22. #11732459C2semidirect
23. #11732384C2semidirect
24. #11732373C2semidirect
25. #11732324C2semidirect
26. #11731576C2semidirect
27. #11731527C2semidirect
28. #11731022C2semidirect
29. #11730923C2semidirect
30. #11730870C2semidirect
31. #11730830C2semidirect
40. C2×#6456C22semidirect
42. C2×D7×C4⋊C4C22semidirect
50. C2×(C22⋊D7)⋊C4C22semidirect
51. C2×(C22⋊D7)⋊C4C22semidirect
54. C2×#6442C22semidirect
55. C2×#6439C22semidirect
59. C7×#400C22semidirect
60. C7×#397C22semidirect
64. C7×#389C22semidirect
66. C7×#388C22semidirect
67. C7×#388C22semidirect
68. C7×#388C22semidirect
69. C7×#387C22semidirect
73. C7×#376C22semidirect
84. #89761C22semidirect
85. #89761C22semidirect
87. #89759C22semidirect
88. #89756C22semidirect
89. #89756C22semidirect
90. #89755C22semidirect
91. #89753C22semidirect
92. #89752C22semidirect
93. #89748C22semidirect
94. C4⋊C4×Dic7C22semidirect
96. #89733C22semidirect
102. #89731C22semidirect
103. #89731C22semidirect
109. #89729C22semidirect
110. #89729C22semidirect
115. #89728C22semidirect
119. #89722C22semidirect
124. #89716C22semidirect
125. #89715C22semidirect
129. #89712C22semidirect
131. #89711C22semidirect
134. C4×(C2×D7)⋊C4C22semidirect
135. #89705C22semidirect
136. C4×Dic7⋊C4C22semidirect
137. C4×Dic7⋊C4C22semidirect
138. C42×Dic7C22semidirect
141. #89446C22semidirect
144. #89444C22semidirect
148. #89442C22semidirect
154. #89441C22semidirect
155. #89441C22semidirect
156. #89441C22semidirect
157. #89441C22semidirect
161. #89440C22semidirect
164. #89438C22semidirect
172. #89437C22semidirect
173. #89436C22semidirect
174. #89433C22semidirect
175. #89431C22semidirect
176. #89429C22semidirect
177. #89426C22semidirect
178. #89425C22semidirect
179. #89424C22semidirect
180. #89424C22semidirect
181. #89424C22semidirect
182. #89424C22semidirect
183. #89424C22semidirect
184. #89421C22semidirect
185. #89420C22semidirect
186. #89419C22semidirect
383. #2526D7semidirect
631. #400C2×D7semidirect
639. #397C2×D7semidirect
673. #389C2×D7semidirect
695. #388C2×D7semidirect
696. #388C2×D7semidirect
697. #388C2×D7semidirect
707. #387C2×D7semidirect
756. #376C2×D7semidirect
1526. C7#60040semidirect

Maximal subgroups

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

subgroupindex
C7×#25262
#117357422
#117355832
#117349812
#117349792
#117348672
#117348592
#117345732
#117343672
#117338822
#117337382
#117336512
#117336102
#117333412
#117333282
#117333092
#117332962
#117332812
#117330412
#117329632
#117329222
#117324592
#117323842
#117323732
#117323242
#117315762
#117315272
#117310222
#117309232
#117308702
#117308302
#600407