Finite Group Databasebeta

← #13561667

Subgroups — #13561667

Order 1792.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2419C211yesmaximal, characteristic, complemented
2#11740348C211yesmaximal, characteristic, complemented
3#11740291C211yesmaximal, characteristic, complemented
4#11739852C211yesmaximal, characteristic, complemented
5#11739840C211yesmaximal, characteristic, complemented
6#11735843C211yesmaximal, characteristic, complemented
7#11735733C211yesmaximal, characteristic, complemented
8#11735323C211yesmaximal, characteristic, complemented
9#11735296C211yesmaximal, characteristic, complemented
10#11735144C211yesmaximal, characteristic, complemented
11#11735049C211yesmaximal, characteristic, complemented
12#11735042C211yesmaximal, characteristic, complemented
13#11735030C211yesmaximal, characteristic, complemented
14#11732887C211yesmaximal, characteristic, complemented
15#11732681C211yesmaximal, characteristic, complemented
16#11732625C211yesmaximal, characteristic, complemented
17#11732597C211yesmaximal, characteristic, complemented
18#11732380C211yesmaximal, characteristic, complemented
19#11732173C211yesmaximal, characteristic, complemented
20#11732094C211yesmaximal, characteristic, complemented
21#11732037C211yesmaximal, characteristic, complemented
22#11731954C211yesmaximal, characteristic, complemented
23#11731897C211yesmaximal, characteristic, complemented
24#11731586C211yesmaximal, characteristic, complemented
25#11731584C211yesmaximal, characteristic, complemented
26#11731579C211yesmaximal, characteristic, complemented
27#11731523C211yesmaximal, characteristic, complemented
28#11731494C211yesmaximal, characteristic, complemented
29#11731466C211yesmaximal, characteristic, complemented
30C2×#89437C211yesmaximal, characteristic, complemented
31#11730797C211yesmaximal, characteristic, complemented
32C23×D28C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×#123C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6493C2211yescharacteristic, complemented
40C2×#6492C2211yescharacteristic
41C22×(C2×D7)⋊C4C2211yescharacteristic
42C22×(C2×D7)⋊C4C2211yescharacteristic
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C2×#6487C2211yescharacteristic
45C2×#6461C2211yescharacteristic, complemented
46C2×#6460C2211yescharacteristic, complemented
47C2×#6460C2211yescharacteristic, complemented
48C2×#6457C2211yescharacteristic, complemented
49C2×#6448C2211yescharacteristic, complemented
50C2×#6447C2211yescharacteristic, complemented
51C2×#6447C2211yescharacteristic, complemented
52C2×#6445C2211yescharacteristic
53C2×#6445C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C7×#400C2211yescharacteristic, complemented
56C7×#398C2211yescharacteristic, complemented
57C7×#397C2211yescharacteristic, complemented
58C7×#397C2211yescharacteristic, complemented
59C7×#387C2211yescharacteristic, complemented
60C7×#387C2211yescharacteristic, complemented
61C7×#386C2211yescharacteristic
62C7×#385C2211yescharacteristic
63C7×#385C2211yescharacteristic, complemented
64C7×#381C2211yescharacteristic
65C7×#381C2211yescharacteristic, complemented
66C7×#380C2211yescharacteristic
67C2×C7×#95C2211yescharacteristic
68#89992C2211yescharacteristic
69#89985C2211yescharacteristic
70#89985C2211yescharacteristic
71#89985C2211yescharacteristic, complemented
72#89985C2211yescharacteristic, complemented
73#89985C2211yescharacteristic, complemented
74#89983C2211yescharacteristic
75C4×C22⋊Dic7C2211yescharacteristic
76C2×C7⋊#95C2211yescharacteristic
77#89766C2211yescharacteristic, complemented
78#89766C2211yescharacteristic, complemented
79#89765C2211yescharacteristic, complemented
80#89765C2211yescharacteristic, complemented
81#89764C2211yescharacteristic, complemented
82#89763C2211yescharacteristic
83#89763C2211yescharacteristic
84#89763C2211yescharacteristic
85#89763C2211yescharacteristic
86#89763C2211yescharacteristic, complemented
87#89763C2211yescharacteristic, complemented
88#89762C2211yescharacteristic, complemented
89#89762C2211yescharacteristic, complemented
90#89762C2211yescharacteristic, complemented
91#89762C2211yescharacteristic, complemented
92#89762C2211yescharacteristic, complemented
93#89762C2211yescharacteristic, complemented
94#89760C2211yescharacteristic, complemented
95#89760C2211yescharacteristic, complemented
96#89759C2211yescharacteristic, complemented
97#89759C2211yescharacteristic, complemented
98#89759C2211yescharacteristic, complemented
99#89752C2211yescharacteristic, complemented
100#89745C2211yescharacteristic, complemented
101#89733C2211yescharacteristic, complemented
102#89733C2211yescharacteristic, complemented
103#89733C2211yescharacteristic, complemented
104#89732C2211yescharacteristic
105#89732C2211yescharacteristic
106#89732C2211yescharacteristic
107#89732C2211yescharacteristic
108#89732C2211yescharacteristic, complemented
109#89731C2211yescharacteristic, complemented
110#89729C2211yescharacteristic, complemented
111#89729C2211yescharacteristic, complemented
112#89729C2211yescharacteristic, complemented
113#89728C2211yescharacteristic, complemented
114#89728C2211yescharacteristic, complemented
115#89728C2211yescharacteristic, complemented
116#89727C2211yescharacteristic
117#89727C2211yescharacteristic
118#89727C2211yescharacteristic
119#89727C2211yescharacteristic
120#89722C2211yescharacteristic
121#89722C2211yescharacteristic
122#89720C2211yescharacteristic, complemented
123#89718C2211yescharacteristic
124#89716C2211yescharacteristic, complemented
125#89714C2211yescharacteristic
126C22⋊C4×Dic7C2211yescharacteristic
127#89712C2211yescharacteristic, complemented
128#89712C2211yescharacteristic, complemented
129#89712C2211yescharacteristic, complemented
130#89711C2211yescharacteristic, complemented
131#89447C2211yescharacteristic, complemented
132#89447C2211yescharacteristic, complemented
133#89447C2211yescharacteristic, complemented
134#89447C2211yescharacteristic, complemented
135#89446C2211yescharacteristic, complemented
136#89445C2211yescharacteristic, complemented
137#89445C2211yescharacteristic, complemented
138#89444C2211yescharacteristic
139#89444C2211yescharacteristic
140#89444C2211yescharacteristic
141#89444C2211yescharacteristic
142#89444C2211yescharacteristic, complemented
143#89443C2211yescharacteristic
144#89443C2211yescharacteristic
145#89443C2211yescharacteristic
146#89443C2211yescharacteristic
147#89442C2211yescharacteristic, complemented
148#89442C2211yescharacteristic, complemented
149#89442C2211yescharacteristic, complemented
150#89441C2211yescharacteristic, complemented
151#89441C2211yescharacteristic, complemented
152#89441C2211yescharacteristic, complemented
153#89441C2211yescharacteristic, complemented
154#89441C2211yescharacteristic, complemented
155#89441C2211yescharacteristic, complemented
156#89440C2211yescharacteristic, complemented
157#89440C2211yescharacteristic, complemented
158#89440C2211yescharacteristic, complemented
159#89440C2211yescharacteristic, complemented
160#89439C2211yescharacteristic, complemented
161#89439C2211yescharacteristic, complemented
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175C7⋊#401C2211yescharacteristic, complemented
176#89432C2211yescharacteristic, complemented
177#89432C2211yescharacteristic, complemented
178#89431C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89430C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89423C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36758—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C22×D28—24no—
204C22×D28—42no—
205C22×D28—42no—
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×C4×D7—42no—
215C22×C4×D7—42no—
216C22×C4×D7—42no—
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×Dic14C2311yescharacteristic
223C7×#123—42no—
224C4×C7×D4—42no—
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247#6502—42no—
248#6500—24no—
249#6500—42no—
250#6493—42no—
251#6492—42no—
252C2×(C2×D7)⋊C4—42no—
253C2×(C2×D7)⋊C4—42no—
254C2×(C2×D7)⋊C4—42no—
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304#6487—42no—
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320#6461—42no—
321#6460—42no—
322#6460—42no—
323#6457—42no—
324#6448—42no—
325#6447—42no—
326#6447—42no—
327#6445—24no—
328#6445—42no—
329(C22⋊D7)⋊C4—42no—
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2848—71no—
371#2847—71no—
372#2797—71no—
373#2781—71no—
374#2779—71no—
375#2778—71no—
376#2778—71no—
377#2756—71no—
378#2753—71no—
379#2749—71no—
380#2741—71no—
381#2730—71no—
382#2714—71no—
383#2703—71no—
384#2702—71no—
385#2696—71no—
386#2688—71no—
387#2676—71no—
388#2613—71no—
389#2613—71no—
390#2493—71no—
391#2488—71no—
392#2480—71no—
393#2472—71no—
394#2425—71no—
395#2424—71no—
396#2419D711yescharacteristic, complemented
397#2418—71no—
398#2321—71no—
399#2321—71no—
400C2×#386—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—22no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7#4114yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C23×D7C2411yescharacteristic
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C2×C7×D4—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—22no—
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—22no—
491C2×D28—41no—
492C2×D28—41no—
493C2×D28—41no—
494C2×D28—41no—
495C2×D28—41no—
496C2×D28—41no—
497C2×D28—41no—
498C2×D28—41no—
499C2×D28—416no—
500C2×D28—41no—
501C2×D28—41no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×D28—41no—
506C2×D28—41no—
507C2×D28—41no—
508C2×D28—41no—
509C2×D28—41no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—416no—
523C2×C4×D7—41no—
524C2×C4×D7—41no—
525C2×C4×D7—41no—
526C2×Dic14—22no—
527C2×Dic14—41no—
528C2×Dic14—41no—
529C7×C4⋊C4—22no—
530C7×C4⋊C4—41no—
531C7×C4⋊C4—41no—
532C7×C4⋊C4—41no—
533C7×C4⋊C4—41no—
534C7×C4⋊C4—41no—
535C7×C4⋊C4—41no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—41no—
541C7×C22⋊C4—41no—
542C7×C22⋊C4—41no—
543C7×C22⋊C4—41no—
544C42×C7—41no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
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—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595C4⋊Dic7—22no—
596C4⋊Dic7—22no—
597C4⋊Dic7—41no—
598C4⋊Dic7—41no—
599C4⋊Dic7—41no—
600Dic7⋊C4—22no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603Dic7⋊C4—41no—
604Dic7⋊C4—41no—
605Dic7⋊C4—41no—
606Dic7⋊C4—41no—
607Dic7⋊C4—41no—
608Dic7⋊C4—41no—
609Dic7⋊C4—41no—
610C4×Dic7—41no—
611C4×Dic7—41no—
612C4×Dic7—41no—
613C4×Dic7—41no—
614C4×Dic7—41no—
615C23×D4—71no—
616C24×C4—71no—
617C2×#126—71no—
618C2×#124—71no—
619C2×#123—71no—
620C2×#123—71no—
621C2×#123C2×D711yescharacteristic
622C2×C22⋊Q8—71no—
623C2×C22⋊Q8—71no—
624C2×C22⋊Q8—71no—
625C2×#121—71no—
626C2×#121—71no—
627C2×#121—71no—
628C2×#121—71no—
629C2×#120—71no—
630C2×#120—71no—
631C2×#120—71no—
632C2×#120—71no—
633C2×C4×D4—71no—
634C2×C4×D4C2×D711yescharacteristic
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638#401—71no—
639#400—71no—
640#400—71no—
641#400—71no—
642#400—71no—
643#400—71no—
644#400C2×D711yescharacteristic, complemented
645#399—71no—
646#398—71no—
647#398C2×D711yescharacteristic, complemented
648#397—71no—
649#397—71no—
650#397—71no—
651#397—71no—
652#397—71no—
653#397—71no—
654#397—71no—
655#397C2×D711yescharacteristic, complemented
656#397C2×D711yescharacteristic, complemented
657#396—71no—
658#396—71no—
659#396—71no—
660#394—71no—
661#394—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#394—71no—
670#394—71no—
671#394—71no—
672#394—71no—
673#394—71no—
674#394—71no—
675#393—71no—
676#393—71no—
677#392—71no—
678#392—71no—
679#392—71no—
680#392—71no—
681#392—71no—
682#392—71no—
683#392—71no—
684#392—71no—
685#392—71no—
686#391—71no—
687#390—71no—
688#390—71no—
689#390—71no—
690#390—71no—
691#390—71no—
692#390—71no—
693#389—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#387—71no—
714#387—71no—
715#387—71no—
716#387C2×D711yescharacteristic, complemented
717#387C2×D711yescharacteristic, complemented
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#386—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386C2×D711yescharacteristic
741#385—71no—
742#385—71no—
743#385—71no—
744#385—71no—
745#385—71no—
746#385—71no—
747#385—71no—
748#385C2×D711yescharacteristic
749#385C2×D711yescharacteristic, complemented
750#383—71no—
751#382—71no—
752#381—71no—
753#381C2×D711yescharacteristic
754#381C2×D711yescharacteristic, complemented
755#380—71no—
756#380—71no—
757#380—71no—
758#380—71no—
759#380—71no—
760#380—71no—
761#380C2×D711yescharacteristic
762#379—71no—
763#379—71no—
764#379—71no—
765#379—71no—
766C4×C22⋊C4—71no—
767C4×C22⋊C4—71no—
768C2×#95—71no—
769C2×#95C2×D711yescharacteristic
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×C7—21no—
780C23×C7—21no—
781C23×C7C2×#4112yes—
782C23×C7H(5,𝔽2)12yes—
783C23×C7H(5,𝔽2)12yes—
784C23×C7C2511yescharacteristic
785C22×D7—28no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—44no—
820C22×D7—44no—
821C22×D7—44no—
822C22×D7—44no—
823C22×D7—44no—
824C22×D7—44no—
825C22×D7—44no—
826C22×D7—44no—
827C22×D7—44no—
828C22×D7—82no—
829C22×D7—82no—
830C22×D7—82no—
831C22×D7—82no—
832C22×D7C2×#4112yes—
833C22×D7C2×#4112yes—
834C7×D4—44no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—44no—
874C2×C4×C7—44no—
875C2×C4×C7—82no—
876C2×C4×C7—82no—
877C2×C4×C7H(5,𝔽2)12yes—
878C22⋊D7—44no—
879C22⋊D7—82no—
880C22⋊D7—82no—
881C22⋊D7—82no—
882C22⋊D7—82no—
883C22⋊D7—82no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—44no—
917C2×Dic7—82no—
918C2×Dic7H(5,𝔽2)12yes—
919D28—44no—
920D28—44no—
921D28—44no—
922D28—44no—
923D28—82no—
924D28—82no—
925D28—82no—
926D28—82no—
927C4×D7—44no—
928C4×D7—44no—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—82no—
932Dic14—82no—
933C25—71no—
934C25—71no—
935C22×Q8—71no—
936C22×D4—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—144no—
951C22×D4—282no—
952C22×D4—282no—
953C22×D4C22×D711yescharacteristic
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960C23×C4—71no—
961C23×C4—282no—
962C23×C4—282no—
963C23×C4—282no—
964C23×C4C22×D711yescharacteristic
965C23×C4C22×D711yescharacteristic
966C23×C4C22×D711yescharacteristic
967C23×C4C22×D711yescharacteristic
968#126—282no—
969#124—282no—
970#123—42no—
971#123—282no—
972#123—282no—
973C22⋊Q8—282no—
974C22⋊Q8—282no—
975C22⋊Q8—282no—
976#121—282no—
977#121—282no—
978#121—282no—
979#121—282no—
980#120—144no—
981#120—144no—
982#120—282no—
983#120—282no—
984C4×D4—42no—
985C4×D4—282no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C4⋊C4C22×D711yescharacteristic
1004C2×C4⋊C4C22×D711yescharacteristic
1005C2×C4⋊C4C22×D711yescharacteristic
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—282no—
1059C2×C22⋊C4—282no—
1060C2×C22⋊C4—282no—
1061C2×C22⋊C4C22×D711yescharacteristic
1062C2×C22⋊C4C22×D711yescharacteristic
1063C2×C22⋊C4C22×D711yescharacteristic
1064C2×C22⋊C4C22×D711yescharacteristic
1065C2×C22⋊C4C22×D711yescharacteristic
1066C2×C22⋊C4C22×D711yescharacteristic
1067C2×C22⋊C4C22×D711yescharacteristic
1068C2×C22⋊C4C22×D711yescharacteristic
1069C2×C42—71no—
1070C2×C42—71no—
1071C2×C42—71no—
1072C2×C42—71no—
1073C2×C42—71no—
1074C2×C42C22×D711yescharacteristic
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95C22×D711yescharacteristic
1102#95C22×D711yescharacteristic
1103#95C22×D711yescharacteristic
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108#95C22×D711yescharacteristic
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112#95C22×D711yescharacteristic
1113#95C22×D711yescharacteristic
1114#95C22×D711yescharacteristic
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—22no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7—41no—
1128C22×C7#53814yes—
1129C22×C7C22×#4111yescharacteristic
1130C22×C7C2×H(5,𝔽2)11yescharacteristic
1131C22×C7C2×H(5,𝔽2)11yescharacteristic
1132C22×C7C2×H(5,𝔽2)11yescharacteristic
1133C22×C7C2×H(5,𝔽2)11yescharacteristic
1134C22×C7#58511yescharacteristic
1135C22×C7#58511yescharacteristic
1136C2×D7—22no—
1137C2×D7—22no—
1138C2×D7—22no—
1139C2×D7—22no—
1140C2×D7—22no—
1141C2×D7—22no—
1142C2×D7—416no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7—41no—
1160C2×D7—41no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—88no—
1173C4×C7—22no—
1174C4×C7—41no—
1175C4×C7—41no—
1176C4×C7—41no—
1177C4×C7—41no—
1178C4×C7—41no—
1179C4×C7—41no—
1180C4×C7—41no—
1181C4×C7—41no—
1182C4×C7—41no—
1183C4×C7—41no—
1184C4×C7—41no—
1185C4×C7—41no—
1186Dic7—22no—
1187Dic7—41no—
1188Dic7—41no—
1189Dic7—41no—
1190Dic7—41no—
1191Dic7—41no—
1192Dic7—41no—
1193Dic7—41no—
1194Dic7—41no—
1195Dic7—41no—
1196Dic7—41no—
1197C24—71no—
1198C24—71no—
1199C24—74no—
1200C24—71no—
1201C24—71no—
1202C24—71no—
1203C24—142no—
1204C24—142no—
1205C24—142no—
1206C24—142no—
1207C24—142no—
1208C24—281no—
1209C24—281no—
1210C24—281no—
1211C24—281no—
1212C24—281no—
1213C24—281no—
1214C24—281no—
1215C24—281no—
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—142no—
1219C2×Q8—281no—
1220C2×Q8—281no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—142no—
1225C2×D4—142no—
1226C2×D4—142no—
1227C2×D4—142no—
1228C2×D4—142no—
1229C2×D4—142no—
1230C2×D4—142no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—281no—
1237C2×D4—281no—
1238C2×D4—281no—
1239C2×D4—281no—
1240C2×D4—281no—
1241C2×D4—281no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—2816no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C2×D4—281no—
1264C2×D4—281no—
1265C2×D4—281no—
1266C2×D4—281no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—71no—
1283C22×C4—71no—
1284C22×C4—71no—
1285C22×C4—71no—
1286C22×C4—71no—
1287C22×C4—71no—
1288C22×C4—71no—
1289C22×C4—71no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
1294C22×C4—142no—
1295C22×C4—142no—
1296C22×C4—142no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4—281no—
1307C22×C4—281no—
1308C22×C4—2816no—
1309C22×C4—281no—
1310C22×C4—281no—
1311C22×C4—281no—
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C22×C4C23×D711yescharacteristic
1319C22×C4C23×D711yescharacteristic
1320C22×C4C23×D711yescharacteristic
1321C22×C4C23×D711yescharacteristic
1322C22×C4C23×D711yescharacteristic
1323C22×C4C23×D711yescharacteristic
1324C22×C4C23×D711yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—281no—
1336C4⋊C4—281no—
1337C4⋊C4—281no—
1338C4⋊C4—281no—
1339C4⋊C4—281no—
1340C4⋊C4—281no—
1341C4⋊C4—281no—
1342C4⋊C4—281no—
1343C4⋊C4—281no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—142no—
1356C22⋊C4—142no—
1357C22⋊C4—142no—
1358C22⋊C4—142no—
1359C22⋊C4—142no—
1360C22⋊C4—142no—
1361C22⋊C4—142no—
1362C22⋊C4—142no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C22⋊C4—281no—
1375C22⋊C4—281no—
1376C22⋊C4—281no—
1377C22⋊C4—281no—
1378C22⋊C4—281no—
1379C22⋊C4—281no—
1380C22⋊C4—281no—
1381C22⋊C4—281no—
1382C22⋊C4—281no—
1383C22⋊C4—281no—
1384C22⋊C4—281no—
1385C22⋊C4—281no—
1386C22⋊C4—281no—
1387C22⋊C4—281no—
1388C22⋊C4—281no—
1389C22⋊C4—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C22⋊C4—281no—
1401C22⋊C4—281no—
1402C22⋊C4—281no—
1403C22⋊C4—281no—
1404C22⋊C4—281no—
1405C42—41no—
1406C42—281no—
1407C42—281no—
1408C42—281no—
1409C42—281no—
1410C42—281no—
1411C2×C7—24no—
1412C2×C7—81no—
1413C2×C7C2×#53811yescharacteristic
1414C2×C7#350511yescharacteristic
1415C2×C7#350511yescharacteristic
1416C2×C7#353211yescharacteristic
1417C2×C7#353311yescharacteristic
1418C2×C7#354211yescharacteristic
1419C2×C7#354211yescharacteristic
1420D7—42no—
1421D7—42no—
1422D7—81no—
1423D7—81no—
1424D7—81no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—72no—
1437C23—72no—
1438C23—148no—
1439C23—141no—
1440C23—141no—
1441C23—141no—
1442C23—141no—
1443C23—141no—
1444C23—141no—
1445C23—141no—
1446C23—141no—
1447C23—141no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—284no—
1473C23—284no—
1474C23—284no—
1475C23—284no—
1476C23—284no—
1477C23—284no—
1478C23—284no—
1479C23—284no—
1480C23—284no—
1481C23—562no—
1482C23—562no—
1483C23—562no—
1484C23—562no—
1485C23#654812yes—
1486C23D7×#4112yes—
1487C23#655312yes—
1488C23C24×D711yescharacteristic
1489Q8—562no—
1490D4—44no—
1491D4—284no—
1492D4—284no—
1493D4—284no—
1494D4—284no—
1495D4—284no—
1496D4—562no—
1497D4—562no—
1498D4—562no—
1499D4—562no—
1500D4—562no—
1501D4—562no—
1502D4—562no—
1503D4—562no—
1504D4—562no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—72no—
1546C2×C4—82no—
1547C2×C4—82no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—141no—
1572C2×C4—141no—
1573C2×C4—141no—
1574C2×C4—141no—
1575C2×C4—141no—
1576C2×C4—141no—
1577C2×C4—141no—
1578C2×C4—141no—
1579C2×C4—141no—
1580C2×C4—284no—
1581C2×C4—284no—
1582C2×C4—284no—
1583C2×C4—284no—
1584C2×C4—284no—
1585C2×C4—562no—
1586C2×C4—562no—
1587C2×C4#655312yes—
1588C7#3675811yescharacteristic, complemented, Sylow
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—142no—
1603C22—142no—
1604C22—142no—
1605C22—142no—
1606C22—142no—
1607C22—142no—
1608C22—2816no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—281no—
1622C22—281no—
1623C22—281no—
1624C22—281no—
1625C22—281no—
1626C22—281no—
1627C22—281no—
1628C22—281no—
1629C22—281no—
1630C22—281no—
1631C22—281no—
1632C22—281no—
1633C22—281no—
1634C22—281no—
1635C22—281no—
1636C22—281no—
1637C22—281no—
1638C22—568no—
1639C22#9034814yes—
1640C22C2×#654811yescharacteristic
1641C22C2×D7×#4111yescharacteristic
1642C22C2×#655311yescharacteristic
1643C22C2×#655311yescharacteristic
1644C22#9061611yescharacteristic
1645C22D7×H(5,𝔽2)11yescharacteristic
1646C22#9062011yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—142no—
1661C4—281no—
1662C4—281no—
1663C4—281no—
1664C4—281no—
1665C4—281no—
1666C4—281no—
1667C4—281no—
1668C4—281no—
1669C4—281no—
1670C4—281no—
1671C2—24no—
1672C2—81no—
1673C2—282no—
1674C2—282no—
1675C2—561no—
1676C2—561no—
1677C2—561no—
1678C2C2×#9034811yescharacteristic
1679C2#1174322611yescharacteristic
1680C2#1174352211yescharacteristic
1681C2#1174371811yescharacteristic
1682C2#1174375911yescharacteristic
1683C2#1174388611yescharacteristic
1684C2#1174393211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2419C2
hypercenter#2419D7
hypocenterC7#36758
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
1. C7×#2419C2semidirect
2. #11740348C2semidirect
3. #11740291C2semidirect
4. #11739852C2semidirect
5. #11739840C2semidirect
6. #11735843C2semidirect
7. #11735733C2semidirect
8. #11735323C2semidirect
9. #11735296C2semidirect
10. #11735144C2semidirect
11. #11735049C2semidirect
12. #11735042C2semidirect
13. #11735030C2semidirect
14. #11732887C2semidirect
15. #11732681C2semidirect
16. #11732625C2semidirect
17. #11732597C2semidirect
18. #11732380C2semidirect
19. #11732173C2semidirect
20. #11732094C2semidirect
21. #11732037C2semidirect
22. #11731954C2semidirect
23. #11731897C2semidirect
24. #11731586C2semidirect
25. #11731584C2semidirect
26. #11731579C2semidirect
27. #11731523C2semidirect
28. #11731494C2semidirect
29. #11731466C2semidirect
30. C2×#89437C2semidirect
31. #11730797C2semidirect
39. C2×#6493C22semidirect
45. C2×#6461C22semidirect
46. C2×#6460C22semidirect
47. C2×#6460C22semidirect
48. C2×#6457C22semidirect
49. C2×#6448C22semidirect
50. C2×#6447C22semidirect
51. C2×#6447C22semidirect
55. C7×#400C22semidirect
56. C7×#398C22semidirect
57. C7×#397C22semidirect
58. C7×#397C22semidirect
59. C7×#387C22semidirect
60. C7×#387C22semidirect
63. C7×#385C22semidirect
65. C7×#381C22semidirect
71. #89985C22semidirect
72. #89985C22semidirect
73. #89985C22semidirect
77. #89766C22semidirect
78. #89766C22semidirect
79. #89765C22semidirect
80. #89765C22semidirect
81. #89764C22semidirect
86. #89763C22semidirect
87. #89763C22semidirect
88. #89762C22semidirect
89. #89762C22semidirect
90. #89762C22semidirect
91. #89762C22semidirect
92. #89762C22semidirect
93. #89762C22semidirect
94. #89760C22semidirect
95. #89760C22semidirect
96. #89759C22semidirect
97. #89759C22semidirect
98. #89759C22semidirect
99. #89752C22semidirect
100. #89745C22semidirect
101. #89733C22semidirect
102. #89733C22semidirect
103. #89733C22semidirect
108. #89732C22semidirect
109. #89731C22semidirect
110. #89729C22semidirect
111. #89729C22semidirect
112. #89729C22semidirect
113. #89728C22semidirect
114. #89728C22semidirect
115. #89728C22semidirect
122. #89720C22semidirect
124. #89716C22semidirect
127. #89712C22semidirect
128. #89712C22semidirect
129. #89712C22semidirect
130. #89711C22semidirect
131. #89447C22semidirect
132. #89447C22semidirect
133. #89447C22semidirect
134. #89447C22semidirect
135. #89446C22semidirect
136. #89445C22semidirect
137. #89445C22semidirect
142. #89444C22semidirect
147. #89442C22semidirect
148. #89442C22semidirect
149. #89442C22semidirect
150. #89441C22semidirect
151. #89441C22semidirect
152. #89441C22semidirect
153. #89441C22semidirect
154. #89441C22semidirect
155. #89441C22semidirect
156. #89440C22semidirect
157. #89440C22semidirect
158. #89440C22semidirect
159. #89440C22semidirect
160. #89439C22semidirect
161. #89439C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. C7⋊#401C22semidirect
176. #89432C22semidirect
177. #89432C22semidirect
178. #89431C22semidirect
179. #89430C22semidirect
180. #89430C22semidirect
181. #89427C22semidirect
182. #89425C22semidirect
183. #89424C22semidirect
184. #89423C22semidirect
185. #89422C22semidirect
186. #89418C22semidirect
396. #2419D7semidirect
644. #400C2×D7semidirect
647. #398C2×D7semidirect
655. #397C2×D7semidirect
656. #397C2×D7semidirect
716. #387C2×D7semidirect
717. #387C2×D7semidirect
749. #385C2×D7semidirect
754. #381C2×D7semidirect
1588. C7#36758semidirect

Maximal subgroups

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

subgroupindex
C7×#24192
#117403482
#117402912
#117398522
#117398402
#117358432
#117357332
#117353232
#117352962
#117351442
#117350492
#117350422
#117350302
#117328872
#117326812
#117326252
#117325972
#117323802
#117321732
#117320942
#117320372
#117319542
#117318972
#117315862
#117315842
#117315792
#117315232
#117314942
#117314662
C2×#894372
#117307972
#367587