Finite Group Databasebeta

← #13562665

Subgroups — #13562665

Order 1792.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2715C211yesmaximal, characteristic, complemented
2#11740560C211yesmaximal, characteristic, complemented
3#11740526C211yesmaximal, characteristic, complemented
4#11740432C211yesmaximal, characteristic, complemented
5#11740405C211yesmaximal, characteristic, complemented
6#11735165C211yesmaximal, characteristic, complemented
7#11735130C211yesmaximal, characteristic, complemented
8#11735053C211yesmaximal, characteristic, complemented
9#11734919C211yesmaximal, characteristic, complemented
10#11734884C211yesmaximal, characteristic, complemented
11#11734871C211yesmaximal, characteristic, complemented
12#11734869C211yesmaximal, characteristic, complemented
13#11734748C211yesmaximal, characteristic, complemented
14#11734712C211yesmaximal, characteristic, complemented
15#11734699C211yesmaximal, characteristic, complemented
16#11734519C211yesmaximal, characteristic, complemented
17#11734340C211yesmaximal, characteristic
18#11734096C211yesmaximal, characteristic, complemented
19#11734057C211yesmaximal, characteristic, complemented
20#11733689C211yesmaximal, characteristic, complemented
21#11733558C211yesmaximal, characteristic, complemented
22#11733382C211yesmaximal, characteristic, complemented
23#11732972C211yesmaximal, characteristic, complemented
24#11732870C211yesmaximal, characteristic, complemented
25#11732390C211yesmaximal, characteristic, complemented
26D7×#386C211yesmaximal, characteristic, complemented
27#11732273C211yesmaximal, characteristic, complemented
28#11732101C211yesmaximal, characteristic, complemented
29#11731982C211yesmaximal, characteristic, complemented
30#11731494C211yesmaximal, characteristic, complemented
31#11731482C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×#126C2211yescharacteristic, complemented
35C2×C7×#124C2211yescharacteristic
36C2×#6510C2211yescharacteristic
37C2×#6509C2211yescharacteristic
38C2×#6487C2211yescharacteristic, complemented
39C2×#6461C2211yescharacteristic, complemented
40C2×#6460C2211yescharacteristic
41C2×#6460C2211yescharacteristic, complemented
42C2×#6459C2211yescharacteristic
43C2×#6457C2211yescharacteristic, complemented
44C2×#6457C2211yescharacteristic, complemented
45C2×#6456C2211yescharacteristic
46C2×#6448C2211yescharacteristic, complemented
47C2×#6448C2211yescharacteristic, complemented
48C2×#6447C2211yescharacteristic
49C2×#6447C2211yescharacteristic
50C2×#6445C2211yescharacteristic
51C2×#6445C2211yescharacteristic
52C2×D7×C22⋊C4C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C7×#397C2211yescharacteristic, complemented
56C7×#397C2211yescharacteristic, complemented
57C7×#396C2211yescharacteristic, complemented
58C7×#396C2211yescharacteristic, complemented
59C7×#395C2211yescharacteristic, complemented
60C7×#394C2211yescharacteristic
61C7×#391C2211yescharacteristic, complemented
62C7×#389C2211yescharacteristic, complemented
63C7×#388C2211yescharacteristic, complemented
64C7×#387C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic
66C7×#385C2211yescharacteristic, complemented
67C7×#380C2211yescharacteristic, complemented
68#90003C2211yescharacteristic, complemented
69#90002C2211yescharacteristic, complemented
70#89995C2211yescharacteristic
71#89993C2211yescharacteristic
72#89992C2211yescharacteristic
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic, complemented
75#89766C2211yescharacteristic, complemented
76#89766C2211yescharacteristic, complemented
77#89766C2211yescharacteristic, complemented
78#89765C2211yescharacteristic, complemented
79#89765C2211yescharacteristic, complemented
80#89764C2211yescharacteristic, complemented
81#89763C2211yescharacteristic
82#89763C2211yescharacteristic, complemented
83#89763C2211yescharacteristic, complemented
84#89762C2211yescharacteristic, complemented
85#89762C2211yescharacteristic, complemented
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic
89#89761C2211yescharacteristic
90#89761C2211yescharacteristic, complemented
91#89761C2211yescharacteristic, complemented
92#89760C2211yescharacteristic, complemented
93#89759C2211yescharacteristic
94#89759C2211yescharacteristic
95#89759C2211yescharacteristic, complemented
96#89759C2211yescharacteristic, complemented
97#89758C2211yescharacteristic, complemented
98#89756C2211yescharacteristic, complemented
99#89755C2211yescharacteristic, complemented
100#89753C2211yescharacteristic, complemented
101#89751C2211yescharacteristic, complemented
102#89751C2211yescharacteristic, complemented
103#89744C2211yescharacteristic, complemented
104#89733C2211yescharacteristic, complemented
105#89733C2211yescharacteristic, complemented
106#89731C2211yescharacteristic
107#89731C2211yescharacteristic
108#89731C2211yescharacteristic
109#89731C2211yescharacteristic
110#89731C2211yescharacteristic, complemented
111#89731C2211yescharacteristic, complemented
112#89730C2211yescharacteristic
113#89730C2211yescharacteristic, complemented
114#89729C2211yescharacteristic
115#89729C2211yescharacteristic
116#89728C2211yescharacteristic
117#89728C2211yescharacteristic
118#89727C2211yescharacteristic
119#89727C2211yescharacteristic
120#89727C2211yescharacteristic
121#89727C2211yescharacteristic
122#89727C2211yescharacteristic
123#89727C2211yescharacteristic
124#89725C2211yescharacteristic, complemented
125#89725C2211yescharacteristic, complemented
126#89724C2211yescharacteristic, complemented
127#89724C2211yescharacteristic, complemented
128#89724C2211yescharacteristic, complemented
129#89723C2211yescharacteristic, complemented
130#89722C2211yescharacteristic, complemented
131#89722C2211yescharacteristic, complemented
132#89721C2211yescharacteristic, complemented
133#89720C2211yescharacteristic, complemented
134#89719C2211yescharacteristic, complemented
135#89718C2211yescharacteristic, complemented
136#89717C2211yescharacteristic, complemented
137#89717C2211yescharacteristic, complemented
138#89716C2211yescharacteristic, complemented
139#89712C2211yescharacteristic, complemented
140#89712C2211yescharacteristic, complemented
141#89711C2211yescharacteristic
142#89711C2211yescharacteristic, complemented
143C4×(C2×D7)⋊C4C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic
145#89705C2211yescharacteristic, complemented
146#89701C2211yescharacteristic, complemented
147#89449C2211yescharacteristic, complemented
148#89447C2211yescharacteristic, complemented
149#89447C2211yescharacteristic, complemented
150#89446C2211yescharacteristic, complemented
151#89445C2211yescharacteristic, complemented
152#89445C2211yescharacteristic, complemented
153#89445C2211yescharacteristic, complemented
154#89444C2211yescharacteristic, complemented
155#89444C2211yescharacteristic, complemented
156#89443C2211yescharacteristic
157#89442C2211yescharacteristic, complemented
158#89441C2211yescharacteristic, complemented
159#89441C2211yescharacteristic, complemented
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic
162#89440C2211yescharacteristic, complemented
163#89440C2211yescharacteristic, complemented
164#89439C2211yescharacteristic
165#89438C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89436C2211yescharacteristic, complemented
173#89436C2211yescharacteristic, complemented
174#89436C2211yescharacteristic, complemented
175D7×#95C2211yescharacteristic
176D7×#95C2211yescharacteristic
177#89426C2211yescharacteristic, complemented
178#89426C2211yescharacteristic, complemented
179#89426C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89424C2211yescharacteristic, complemented
182#89423C2211yescharacteristic, complemented
183#89422C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36793—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C2×D4×D7—24no—
199C2×D4×D7—42no—
200C2×D4×D7—42no—
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
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×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C22×Dic14C2311yescharacteristic
218C7×#126—42no—
219C7×#124—42no—
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊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×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
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
251#6510—42no—
252#6509—24no—
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×(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×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296#6487—42no—
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×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314#6461—42no—
315#6460—42no—
316#6460—42no—
317#6459—42no—
318#6457—42no—
319#6457—42no—
320#6456—24no—
321#6448—42no—
322#6448—42no—
323#6447—42no—
324#6447—42no—
325#6445—42no—
326#6445—42no—
327D7×C22⋊C4—42no—
328D7×C22⋊C4—42no—
329D7×C22⋊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#2849—71no—
371#2848—71no—
372#2796—71no—
373#2761—71no—
374#2757—71no—
375#2751—71no—
376#2737—71no—
377#2730—71no—
378#2723—71no—
379#2715D711yescharacteristic, complemented
380#2712—71no—
381#2710—71no—
382#2705—71no—
383#2701—71no—
384#2700—71no—
385#2691—71no—
386#2686—71no—
387#2672—71no—
388#2626—71no—
389#2622—71no—
390#2564—71no—
391#2549—71no—
392#2480—71no—
393#2480—71no—
394#2472—71no—
395#2472—71no—
396#2435—71no—
397#2408—71no—
398#2329—71no—
399#2318—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—22no—
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×Q8—22no—
422C2×C7×Q8—41no—
423C2×C7×Q8—41no—
424C2×C7×D4—22no—
425C2×C7×D4—22no—
426C2×C7×D4—41no—
427C22×C4×C7—22no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
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
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C2×C22⋊D7—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C22×Dic7—41no—
456C22×Dic7—41no—
457C22×Dic7—41no—
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470D4×D7—416no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—41no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28—41no—
481C2×D28—41no—
482C2×D28—41no—
483C2×C4×D7—22no—
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—416no—
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#4114yes—
508C2×Dic14—22no—
509C2×Dic14—41no—
510C2×Dic14—41no—
511C2×Dic14—41no—
512C2×Dic14—41no—
513C2×Dic14—41no—
514C7×C4⋊C4—22no—
515C7×C4⋊C4—22no—
516C7×C4⋊C4—41no—
517C7×C4⋊C4—41no—
518C7×C4⋊C4—41no—
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C42×C7—41no—
535C42×C7—41no—
536C22⋊Dic7—22no—
537C22⋊Dic7—41no—
538C22⋊Dic7—41no—
539C22⋊Dic7—41no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
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—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—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—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—
581C4⋊Dic7—22no—
582C4⋊Dic7—22no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586C4⋊Dic7—41no—
587C4⋊Dic7—41no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600C4×Dic7—22no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4—71no—
606C24×C4—71no—
607C2×#126—71no—
608C2×#126C2×D711yescharacteristic, complemented
609C2×#124—71no—
610C2×#124—71no—
611C2×#124—71no—
612C2×#124C2×D711yescharacteristic
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×C22⋊Q8—71no—
617C2×C22⋊Q8—71no—
618C2×C22⋊Q8—71no—
619C2×C22⋊Q8—71no—
620C2×#121—71no—
621C2×#121—71no—
622C2×#120—71no—
623C2×#120—71no—
624C2×C4×D4—71no—
625C22×C22⋊C4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4—71no—
628#400—71no—
629#399—71no—
630#399—71no—
631#399—71no—
632#398—71no—
633#398—71no—
634#397—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397—71no—
640#397—71no—
641#397—71no—
642#397—71no—
643#397—71no—
644#397C2×D711yescharacteristic, complemented
645#397C2×D711yescharacteristic, complemented
646#396—71no—
647#396—71no—
648#396—71no—
649#396—71no—
650#396C2×D711yescharacteristic, complemented
651#396C2×D711yescharacteristic, complemented
652#395—71no—
653#395—71no—
654#395C2×D711yescharacteristic, complemented
655#394—71no—
656#394—71no—
657#394—71no—
658#394—71no—
659#394—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#394C2×D711yescharacteristic
669#393—71no—
670#393—71no—
671#393—71no—
672#393—71no—
673#393—71no—
674#392—71no—
675#392—71no—
676#391—71no—
677#391—71no—
678#391—71no—
679#391C2×D711yescharacteristic, complemented
680#390—71no—
681#390—71no—
682#390—71no—
683#390—71no—
684#390—71no—
685#390—71no—
686#389—71no—
687#389—71no—
688#389—71no—
689#389C2×D711yescharacteristic, complemented
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388C2×D711yescharacteristic, complemented
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#387—71no—
708#387—71no—
709#387C2×D711yescharacteristic, complemented
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#385—71no—
737#385C2×D711yescharacteristic, complemented
738#383—71no—
739#382—71no—
740#381—71no—
741#381—71no—
742#381—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380—71no—
748#380C2×D711yescharacteristic, complemented
749#379—71no—
750#379—71no—
751#379—71no—
752#379—71no—
753#379—71no—
754#379—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C2×#95—71no—
759C2×#95—71no—
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×C7H(5,𝔽2)12yes—
774C23×C7C2511yescharacteristic
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—28no—
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—21no—
799C22×D7—21no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7—44no—
807C22×D7—44no—
808C22×D7—44no—
809C22×D7—82no—
810C22×D7—82no—
811C22×D7—82no—
812C22×D7—82no—
813C22×D7C2×#4112yes—
814C22×D7H(5,𝔽2)12yes—
815C22×D7H(5,𝔽2)12yes—
816C22×D72−1+412yes—
817C7×Q8—82no—
818C7×D4—44no—
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—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—44no—
857C2×C4×C7C2×#4112yes—
858C2×C4×C7H(5,𝔽2)12yes—
859C22⋊D7—44no—
860C22⋊D7—44no—
861C22⋊D7—82no—
862C22⋊D7—82no—
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—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—44no—
899C2×Dic7C2×#4112yes—
900D28—44no—
901D28—44no—
902D28—82no—
903D28—82no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—44no—
908C4×D7—44no—
909C4×D7—82no—
910C4×D7—82no—
911C4×D7—82no—
912Dic14—82no—
913Dic14—82no—
914C25—71no—
915C25—71no—
916C22×Q8—71no—
917C22×Q8—71no—
918C22×Q8C22×D711yescharacteristic
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4—144no—
928C22×D4—282no—
929C22×D4—282no—
930C22×D4C22×D711yescharacteristic
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—282no—
941C23×C4—282no—
942C23×C4—282no—
943C23×C4C22×D711yescharacteristic
944#126—42no—
945#126—282no—
946#124—42no—
947#124—282no—
948#124—282no—
949#124—282no—
950#123—282no—
951#123—282no—
952C22⋊Q8—144no—
953C22⋊Q8—282no—
954C22⋊Q8—282no—
955C22⋊Q8—282no—
956C22⋊Q8—282no—
957#121—282no—
958#121—282no—
959#120—282no—
960#120—282no—
961C4×D4—144no—
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—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
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⋊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—282no—
1036C2×C22⋊C4—282no—
1037C2×C22⋊C4—282no—
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4C22×D711yescharacteristic
1042C2×C22⋊C4C22×D711yescharacteristic
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—71no—
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
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#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096C22×C7—22no—
1097C22×C7—22no—
1098C22×C7—22no—
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×C7C22×#4111yescharacteristic
1111C22×C7C2×H(5,𝔽2)11yescharacteristic
1112C22×C7C2×H(5,𝔽2)11yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×2−1+411yescharacteristic
1116C22×C7#58511yescharacteristic
1117C2×D7—22no—
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—416no—
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—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—88no—
1146C2×D7#54214yes—
1147C4×C7—22no—
1148C4×C7—22no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158C4×C7—41no—
1159C4×C7—41no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172C24—71no—
1173C24—71no—
1174C24—71no—
1175C24—71no—
1176C24—142no—
1177C24—142no—
1178C24—142no—
1179C24—142no—
1180C24—142no—
1181C24—142no—
1182C24—142no—
1183C24—142no—
1184C24—281no—
1185C24—281no—
1186C24—281no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24C23×D711yescharacteristic
1191C24C23×D711yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—142no—
1196C2×Q8—281no—
1197C2×Q8—281no—
1198C2×Q8—281no—
1199C2×Q8—281no—
1200C2×Q8—281no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—41no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—2816no—
1229C22×C4—22no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—71no—
1233C22×C4—74no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—71no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4—281no—
1267C22×C4—281no—
1268C22×C4—2816no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—142no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
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—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
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—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C42—41no—
1370C42—41no—
1371C42—142no—
1372C42—281no—
1373C42—281no—
1374C42—281no—
1375C42—281no—
1376C2×C7—42no—
1377C2×C7—81no—
1378C2×C7C2×#54211yescharacteristic
1379C2×C7#349011yescharacteristic
1380C2×C7#350611yescharacteristic
1381C2×C7#353211yescharacteristic
1382C2×C7#353411yescharacteristic
1383C2×C7#353511yescharacteristic
1384C2×C7#353611yescharacteristic
1385D7—24no—
1386D7—42no—
1387D7—81no—
1388D7—81no—
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—21no—
1402C23—72no—
1403C23—72no—
1404C23—72no—
1405C23—72no—
1406C23—148no—
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—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—284no—
1437C23—284no—
1438C23—284no—
1439C23—284no—
1440C23—562no—
1441C23—562no—
1442C23—562no—
1443C23—562no—
1444C23#654812yes—
1445C23C24×D711yescharacteristic
1446Q8—82no—
1447Q8—562no—
1448Q8—562no—
1449D4—44no—
1450D4—284no—
1451D4—284no—
1452D4—284no—
1453D4—284no—
1454D4—562no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
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—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—44no—
1496C2×C4—72no—
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—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—284no—
1533C2×C4—284no—
1534C2×C4—284no—
1535C2×C4—284no—
1536C2×C4—284no—
1537C2×C4—284no—
1538C2×C4—562no—
1539C2×C4—562no—
1540C2×C4—562no—
1541C2×C4D7×#4112yes—
1542C2×C4#655312yes—
1543C7#3679311yescharacteristic, complemented, Sylow
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—74no—
1559C22—142no—
1560C22—142no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—142no—
1565C22—142no—
1566C22—142no—
1567C22—142no—
1568C22—2816no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—568no—
1588C22C2×#654811yescharacteristic
1589C22C2×D7×#4111yescharacteristic
1590C22C2×#655311yescharacteristic
1591C22D7×H(5,𝔽2)11yescharacteristic
1592C22D7×H(5,𝔽2)11yescharacteristic
1593C22D7×2−1+411yescharacteristic
1594C22#9062011yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—142no—
1609C4—281no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C2—42no—
1621C2—81no—
1622C2—144no—
1623C2—282no—
1624C2—561no—
1625C2—561no—
1626C2#1174345111yescharacteristic
1627C2#1174348611yescharacteristic
1628C2D7×#54211yescharacteristic
1629C2#1174373211yescharacteristic
1630C2#1174377311yescharacteristic
1631C2#1174407311yescharacteristic
1632C2#1174419711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2715C2
prime radical#11734340C2
hypercenter#2715D7
hypocenterC7#36793
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2715

Complements

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

NH ≅ G/Ntype
1. C7×#2715C2semidirect
2. #11740560C2semidirect
3. #11740526C2semidirect
4. #11740432C2semidirect
5. #11740405C2semidirect
6. #11735165C2semidirect
7. #11735130C2semidirect
8. #11735053C2semidirect
9. #11734919C2semidirect
10. #11734884C2semidirect
11. #11734871C2semidirect
12. #11734869C2semidirect
13. #11734748C2semidirect
14. #11734712C2semidirect
15. #11734699C2semidirect
16. #11734519C2semidirect
18. #11734096C2semidirect
19. #11734057C2semidirect
20. #11733689C2semidirect
21. #11733558C2semidirect
22. #11733382C2semidirect
23. #11732972C2semidirect
24. #11732870C2semidirect
25. #11732390C2semidirect
26. D7×#386C2semidirect
27. #11732273C2semidirect
28. #11732101C2semidirect
29. #11731982C2semidirect
30. #11731494C2semidirect
31. #11731482C2semidirect
34. C2×C7×#126C22semidirect
38. C2×#6487C22semidirect
39. C2×#6461C22semidirect
41. C2×#6460C22semidirect
43. C2×#6457C22semidirect
44. C2×#6457C22semidirect
46. C2×#6448C22semidirect
47. C2×#6448C22semidirect
55. C7×#397C22semidirect
56. C7×#397C22semidirect
57. C7×#396C22semidirect
58. C7×#396C22semidirect
59. C7×#395C22semidirect
61. C7×#391C22semidirect
62. C7×#389C22semidirect
63. C7×#388C22semidirect
64. C7×#387C22semidirect
66. C7×#385C22semidirect
67. C7×#380C22semidirect
68. #90003C22semidirect
69. #90002C22semidirect
74. #89985C22semidirect
75. #89766C22semidirect
76. #89766C22semidirect
77. #89766C22semidirect
78. #89765C22semidirect
79. #89765C22semidirect
80. #89764C22semidirect
82. #89763C22semidirect
83. #89763C22semidirect
84. #89762C22semidirect
85. #89762C22semidirect
90. #89761C22semidirect
91. #89761C22semidirect
92. #89760C22semidirect
95. #89759C22semidirect
96. #89759C22semidirect
97. #89758C22semidirect
98. #89756C22semidirect
99. #89755C22semidirect
100. #89753C22semidirect
101. #89751C22semidirect
102. #89751C22semidirect
103. #89744C22semidirect
104. #89733C22semidirect
105. #89733C22semidirect
110. #89731C22semidirect
111. #89731C22semidirect
113. #89730C22semidirect
124. #89725C22semidirect
125. #89725C22semidirect
126. #89724C22semidirect
127. #89724C22semidirect
128. #89724C22semidirect
129. #89723C22semidirect
130. #89722C22semidirect
131. #89722C22semidirect
132. #89721C22semidirect
133. #89720C22semidirect
134. #89719C22semidirect
135. #89718C22semidirect
136. #89717C22semidirect
137. #89717C22semidirect
138. #89716C22semidirect
139. #89712C22semidirect
140. #89712C22semidirect
142. #89711C22semidirect
145. #89705C22semidirect
146. #89701C22semidirect
147. #89449C22semidirect
148. #89447C22semidirect
149. #89447C22semidirect
150. #89446C22semidirect
151. #89445C22semidirect
152. #89445C22semidirect
153. #89445C22semidirect
154. #89444C22semidirect
155. #89444C22semidirect
157. #89442C22semidirect
158. #89441C22semidirect
159. #89441C22semidirect
162. #89440C22semidirect
163. #89440C22semidirect
172. #89436C22semidirect
173. #89436C22semidirect
174. #89436C22semidirect
177. #89426C22semidirect
178. #89426C22semidirect
179. #89426C22semidirect
180. #89425C22semidirect
181. #89424C22semidirect
182. #89423C22semidirect
183. #89422C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
379. #2715D7semidirect
608. C2×#126C2×D7semidirect
644. #397C2×D7semidirect
645. #397C2×D7semidirect
650. #396C2×D7semidirect
651. #396C2×D7semidirect
654. #395C2×D7semidirect
679. #391C2×D7semidirect
689. #389C2×D7semidirect
701. #388C2×D7semidirect
709. #387C2×D7semidirect
737. #385C2×D7semidirect
748. #380C2×D7semidirect
1543. C7#36793semidirect

Maximal subgroups

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

subgroupindex
C7×#27152
#117405602
#117405262
#117404322
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