Finite Group Databasebeta

← #32882997

Subgroups — #32882997

Order 18176.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602660C211yesmaximal, characteristic, complemented
2#22601973C211yesmaximal, characteristic, complemented
3#22600577C211yesmaximal, characteristic, complemented
4#22600547C211yesmaximal, characteristic, complemented
5#22600491C211yesmaximal, characteristic, complemented
6#22600476C211yesmaximal, characteristic, complemented
7#22600359C211yesmaximal, characteristic, complemented
8#22600299C211yesmaximal, characteristic, complemented
9#22600173C211yesmaximal, characteristic, complemented
10#22600151C211yesmaximal, characteristic, complemented
11#22600018C211yesmaximal, characteristic, complemented
12#22600010C211yesmaximal, characteristic, complemented
13#22599957C211yesmaximal, characteristic, complemented
14#22599948C211yesmaximal, characteristic, complemented
15#22599887C211yesmaximal, characteristic, complemented
16#22599827C211yesmaximal, characteristic, complemented
17#22599824C211yesmaximal, characteristic, complemented
18#22599813C211yesmaximal, characteristic, complemented
19#22599432C211yesmaximal, characteristic, complemented
20#22599388C211yesmaximal, characteristic, complemented
21#22599204C211yesmaximal, characteristic, complemented
22#22599190C211yesmaximal, characteristic, complemented
23#22599128C211yesmaximal, characteristic, complemented
24#22598579C211yesmaximal, characteristic, complemented
25#22598519C211yesmaximal, characteristic, complemented
26#22597642C211yesmaximal, characteristic, complemented
27#22597605C211yesmaximal, characteristic, complemented
28#22597570C211yesmaximal, characteristic, complemented
29C2×#17986132C211yesmaximal, characteristic, complemented
30#22597390C211yesmaximal, characteristic, complemented
31C71×#3194C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic, complemented
33C23×D284C2211yescharacteristic, complemented
34C2×#14556156C2211yescharacteristic, complemented
35C2×#14556156C2211yescharacteristic, complemented
36C2×#14556155C2211yescharacteristic, complemented
37C2×#14556152C2211yescharacteristic, complemented
38C2×#14556149C2211yescharacteristic, complemented
39C22×#11765850C2211yescharacteristic, complemented
40C22×#11765850C2211yescharacteristic, complemented
41C2×D8×D71C2211yescharacteristic, complemented
42#17986744—21no—
43#17986737—21no—
44#17986713C2211yescharacteristic, complemented
45#17986696C2211yescharacteristic, complemented
46#17986684C2211yescharacteristic, complemented
47#17986675—21no—
48#17986667C2211yescharacteristic, complemented
49#17986650C2211yescharacteristic, complemented
50#17986646C2211yescharacteristic, complemented
51#17986645—21no—
52#17986645—21no—
53#17986643C2211yescharacteristic, complemented
54#17986640C2211yescharacteristic
55#17986640C2211yescharacteristic, complemented
56#17986640C2211yescharacteristic, complemented
57#17986640C2211yescharacteristic, complemented
58#17986639—21no—
59D4×D284—21no—
60D4×D284—21no—
61#17986633C2211yescharacteristic
62#17986633C2211yescharacteristic, complemented
63#17986633C2211yescharacteristic, complemented
64#17986633C2211yescharacteristic, complemented
65D4×C22⋊D71C2211yescharacteristic, complemented
66#17986616C2211yescharacteristic, complemented
67#17986602C2211yescharacteristic, complemented
68#17986599—21no—
69#17986581—21no—
70#17986578C2211yescharacteristic, complemented
71#17986568C2211yescharacteristic, complemented
72#17986566—21no—
73#17986565C2211yescharacteristic, complemented
74#17986563C2211yescharacteristic, complemented
75#17986560—21no—
76#17986560—21no—
77#17986558—21no—
78#17986510C2211yescharacteristic
79#17986510C2211yescharacteristic, complemented
80#120×D71—21no—
81#120×D71—21no—
82#17986473C2211yescharacteristic, complemented
83#17986387C2211yescharacteristic, complemented
84#17986385C2211yescharacteristic, complemented
85#17986380C2211yescharacteristic, complemented
86#17986374C2211yescharacteristic, complemented
87#17986362C2211yescharacteristic, complemented
88#17986360C2211yescharacteristic, complemented
89#17986355C2211yescharacteristic, complemented
90#17986344C2211yescharacteristic, complemented
91#17986340C2211yescharacteristic, complemented
92#17986337C2211yescharacteristic, complemented
93#17986326C2211yescharacteristic, complemented
94#17986325C2211yescharacteristic, complemented
95#17986323C2211yescharacteristic, complemented
96#17986320C2211yescharacteristic, complemented
97#17986319C2211yescharacteristic, complemented
98#17986314C2211yescharacteristic, complemented
99#17986302C2211yescharacteristic, complemented
100#17986298C2211yescharacteristic, complemented
101#17986288C2211yescharacteristic, complemented
102#17986278C2211yescharacteristic, complemented
103#17986253C2211yescharacteristic, complemented
104#17986251C2211yescharacteristic, complemented
105#17986251C2211yescharacteristic, complemented
106#17986246C2211yescharacteristic, complemented
107#17986238C2211yescharacteristic, complemented
108#17986236C2211yescharacteristic, complemented
109#17986234C2211yescharacteristic, complemented
110#17986234C2211yescharacteristic, complemented
111#17986233C2211yescharacteristic, complemented
112#17986230C2211yescharacteristic, complemented
113#17986229C2211yescharacteristic, complemented
114#17986226C2211yescharacteristic, complemented
115#17986224C2211yescharacteristic, complemented
116#17986217C2211yescharacteristic, complemented
117#17986216C2211yescharacteristic, complemented
118#17986216C2211yescharacteristic, complemented
119#17986213C2211yescharacteristic, complemented
120#17986213C2211yescharacteristic, complemented
121#17986198C2211yescharacteristic, complemented
122#17986193C2211yescharacteristic, complemented
123#17986193C2211yescharacteristic, complemented
124#17986193C2211yescharacteristic, complemented
125#17986192C2211yescharacteristic, complemented
126#17986192C2211yescharacteristic, complemented
127#17986164C2211yescharacteristic, complemented
128#17986161C2211yescharacteristic, complemented
129#17986159C2211yescharacteristic, complemented
130#17986152C2211yescharacteristic, complemented
131#17986152C2211yescharacteristic, complemented
132#17986152C2211yescharacteristic, complemented
133#17986152C2211yescharacteristic, complemented
134#17986151C2211yescharacteristic, complemented
135#17986147C2211yescharacteristic, complemented
136#17986145C2211yescharacteristic, complemented
137#17986145C2211yescharacteristic, complemented
138#17986144C2211yescharacteristic, complemented
139#17986143C2211yescharacteristic, complemented
140#17986143C2211yescharacteristic, complemented
141#17986142C2211yescharacteristic, complemented
142#17986135C2211yescharacteristic, complemented
143#17986135C2211yescharacteristic, complemented
144#17986135C2211yescharacteristic, complemented
145#17986135C2211yescharacteristic, complemented
146#17986134C2211yescharacteristic, complemented
147#17986134C2211yescharacteristic, complemented
148#17986134C2211yescharacteristic, complemented
149#17986132C2211yescharacteristic
150#17986132C2211yescharacteristic, complemented
151#17986132C2211yescharacteristic, complemented
152#17986132C2211yescharacteristic, complemented
153#17986132C2211yescharacteristic, complemented
154#17986132C2211yescharacteristic, complemented
155#17986132C2211yescharacteristic, complemented
156#17986132C2211yescharacteristic, complemented
157#17986131C2211yescharacteristic, complemented
158#17986131C2211yescharacteristic, complemented
159#17986110C2211yescharacteristic, complemented
160#17986108C2211yescharacteristic, complemented
161#17986108C2211yescharacteristic, complemented
162#17986098C2211yescharacteristic, complemented
163#17986086C2211yescharacteristic, complemented
164#17986081C2211yescharacteristic, complemented
165#17986079C2211yescharacteristic, complemented
166#17986079C2211yescharacteristic, complemented
167#17986075C2211yescharacteristic, complemented
168#17986075C2211yescharacteristic, complemented
169#17986068C2211yescharacteristic, complemented
170#17986068C2211yescharacteristic, complemented
171#17986067C2211yescharacteristic, complemented
172#17986067C2211yescharacteristic, complemented
173(C22⋊D71)⋊C8C2211yescharacteristic, complemented
174(C22⋊D71)⋊C8C2211yescharacteristic, complemented
175#17986057C2211yescharacteristic, complemented
176#17986057C2211yescharacteristic, complemented
177#17986005C2211yescharacteristic, complemented
178#17986005C2211yescharacteristic, complemented
179#17986002C2211yescharacteristic, complemented
180#17985999C2211yescharacteristic, complemented
181#17985994C2211yescharacteristic, complemented
182C2×#14556048C2211yescharacteristic, complemented
183C2×#14556048C2211yescharacteristic, complemented
184#102×D71C2211yescharacteristic, complemented
185#17985964C2211yescharacteristic, complemented
186#17985964C2211yescharacteristic, complemented
187C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
188#525×C71C2211yescharacteristic, complemented
189C2×#121×C71C2211yescharacteristic, complemented
190#483×C71C2211yescharacteristic, complemented
191#482×C71C2211yescharacteristic, complemented
192#482×C71C2211yescharacteristic, complemented
193#480×C71C2211yescharacteristic, complemented
194#469×C71C2211yescharacteristic, complemented
195#469×C71C2211yescharacteristic, complemented
196#468×C71C2211yescharacteristic, complemented
197#468×C71C2211yescharacteristic, complemented
198#450×C71C2211yescharacteristic, complemented
199#449×C71C2211yescharacteristic, complemented
200#449×C71C2211yescharacteristic, complemented
201#447×C71C2211yescharacteristic, complemented
202#407×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204#14556174—42no—
205#14556174—42no—
206C2×#11765866C2311yescharacteristic
207C2×#11765866C2311yescharacteristic
208C2×#11765865—21no—
209C2×#11765865—21no—
210C2×#11765865C2311yescharacteristic
211C2×#11765865C2311yescharacteristic
212C2×#11765864C2311yescharacteristic, complemented
213C22×D284—21no—
214C22×D284—21no—
215C22×D284—21no—
216C22×D284—21no—
217C22×D284—42no—
218C22×D284—42no—
219C22×D284C2311yescharacteristic
220C22×D284C2311yescharacteristic
221C22×D284C2311yescharacteristic
222C22×D284C2311yescharacteristic
223C22×D284C2311yescharacteristic
224C22×D284C2311yescharacteristic
225C22×C22⋊D71—21no—
226C2×D4×D71—21no—
227C2×D4×D71—21no—
228C2×D4×D71—21no—
229C2×D4×D71—21no—
230C2×D4×D71—21no—
231C2×D4×D71—21no—
232C2×D4×D71C2311yescharacteristic
233C2×D4×D71C2311yescharacteristic
234C2×D4×D71C2311yescharacteristic, complemented
235#14556156—42no—
236#14556156—42no—
237#14556155—42no—
238#14556152—42no—
239#14556149—42no—
240C2×#11765855C2311yescharacteristic, complemented
241C2×#11765854C2311yescharacteristic
242C2×#11765854C2311yescharacteristic
243C2×#11765854C2311yescharacteristic
244C2×#11765854C2311yescharacteristic
245C2×#11765853C2311yescharacteristic, complemented
246C2×#11765852C2311yescharacteristic, complemented
247C2×D568C2311yescharacteristic
248C2×D568C2311yescharacteristic
249C2×D568C2311yescharacteristic
250C2×D568C2311yescharacteristic
251C2×#11765850—42no—
252C2×#11765850—42no—
253C2×#11765850C2311yescharacteristic
254C2×#11765850C2311yescharacteristic
255C2×#11765850C2311yescharacteristic
256C2×#11765850C2311yescharacteristic
257C2×#11765850C2311yescharacteristic
258C2×#11765850C2311yescharacteristic
259C2×#11765850C2311yescharacteristic
260C2×#11765850C2311yescharacteristic
261C2×#11765850C2311yescharacteristic, complemented
262D8×D71—42no—
263C2×#11765848C2311yescharacteristic, complemented
264C2×#11765848C2311yescharacteristic, complemented
265C22×C71⋊C8C2311yescharacteristic
266C22×C71⋊C8C2311yescharacteristic
267C2×C8×D71C2311yescharacteristic, complemented
268C2×C8×D71C2311yescharacteristic, complemented
269#14556127C2311yescharacteristic, complemented
270#14556125—21no—
271#14556124—21no—
272#14556124—21no—
273#14556124C2311yescharacteristic
274#14556124C2311yescharacteristic
275#14556124C2311yescharacteristic, complemented
276#14556123—21no—
277#14556121—21no—
278#14556121—21no—
279#14556119C2311yescharacteristic, complemented
280#14556118—21no—
281#14556117C2311yescharacteristic
282#14556117C2311yescharacteristic
283#14556116—21no—
284#14556115—21no—
285#14556115—21no—
286#14556115C2311yescharacteristic, complemented
287#14556114—21no—
288#14556114—21no—
289#14556113—21no—
290#14556113—21no—
291#14556113—21no—
292#14556113—21no—
293#14556113—21no—
294#14556112—21no—
295#14556111—21no—
296#14556111—21no—
297#14556111—21no—
298#14556111D411yescharacteristic
299#14556111D411yescharacteristic
300#14556110—21no—
301#14556110—21no—
302#14556109—21no—
303#14556109—21no—
304#14556109—21no—
305#14556108C2311yescharacteristic, complemented
306#14556107D411yescharacteristic
307#14556107D411yescharacteristic
308#14556107C2311yescharacteristic
309#14556107C2311yescharacteristic
310#14556106—21no—
311#14556105—21no—
312#14556105—21no—
313#14556103—21no—
314#14556103—21no—
315#14556103—21no—
316#14556103—21no—
317#14556103C2311yescharacteristic
318#14556103C2311yescharacteristic
319#14556103C2311yescharacteristic
320#14556103C2311yescharacteristic
321#14556103C2311yescharacteristic, complemented
322#14556102—21no—
323#14556102—21no—
324#14556102D411yescharacteristic
325#14556102D411yescharacteristic
326#14556102C2311yescharacteristic
327#14556102C2311yescharacteristic
328#14556101—21no—
329#14556101—21no—
330#14556101—21no—
331#14556101—21no—
332#14556101—21no—
333#14556101—21no—
334#14556100—21no—
335#14556100—21no—
336#14556100—21no—
337#14556100—21no—
338#14556100—21no—
339#14556100—21no—
340#14556099—21no—
341#14556099—21no—
342#14556099—21no—
343#14556099—21no—
344#14556099C2311yescharacteristic, complemented
345#14556099C2311yescharacteristic, complemented
346#14556098—21no—
347#14556098—21no—
348#14556098—21no—
349#14556098—21no—
350#14556098—21no—
351#14556098—21no—
352#14556098—21no—
353#14556098—21no—
354#14556098—21no—
355#14556098—21no—
356#14556098—21no—
357#14556097—21no—
358#14556097—21no—
359#14556097—21no—
360#14556097D411yescharacteristic
361#14556097D411yescharacteristic
362#14556096—21no—
363#14556096—21no—
364#14556096—21no—
365#14556096—21no—
366#14556096—21no—
367#14556096—21no—
368#14556096—21no—
369#14556096—21no—
370#14556096—21no—
371#14556093C2311yescharacteristic, complemented
372C4×D284—21no—
373C4×D284—21no—
374D4×Dic71C2311yescharacteristic, complemented
375D4×Dic71C2311yescharacteristic, complemented
376#14556090C2311yescharacteristic
377#14556090C2311yescharacteristic
378#14556090C2311yescharacteristic
379#14556090C2311yescharacteristic
380#14556090C2311yescharacteristic, complemented
381C4×C22⋊D71—21no—
382C4×C22⋊D71—21no—
383C4×C22⋊D71C2311yescharacteristic
384C4×C22⋊D71C2311yescharacteristic
385C4×C22⋊D71C2311yescharacteristic
386C4×C22⋊D71C2311yescharacteristic
387(C22⋊D71)⋊C4—21no—
388(C22⋊D71)⋊C4—21no—
389#14556087—21no—
390#14556087C2311yescharacteristic
391#14556087C2311yescharacteristic
392#14556086C2311yescharacteristic, complemented
393#14556084—21no—
394C4⋊C4×D71C2311yescharacteristic, complemented
395C2×C22⋊Dic71—21no—
396C22⋊C4×D71—21no—
397C22⋊C4×D71—21no—
398C22⋊C4×D71—21no—
399C22⋊C4×D71—21no—
400C22⋊C4×D71—21no—
401C22⋊C4×D71—21no—
402C22⋊C4×D71—21no—
403#14556061C2311yescharacteristic, complemented
404#14556061C2311yescharacteristic, complemented
405#14556059C2311yescharacteristic, complemented
406#14556059C2311yescharacteristic, complemented
407Dic71⋊C8C2311yescharacteristic, complemented
408Dic71⋊C8C2311yescharacteristic, complemented
409Dic71⋊C8C2311yescharacteristic, complemented
410Dic71⋊C8C2311yescharacteristic, complemented
411#14556052C2311yescharacteristic, complemented
412#14556052C2311yescharacteristic, complemented
413#14556051C2311yescharacteristic, complemented
414#14556051C2311yescharacteristic, complemented
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556050C2311yescharacteristic
422#14556050C2311yescharacteristic
423#14556049C2311yescharacteristic, complemented
424#14556049C2311yescharacteristic, complemented
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431#14556048C2311yescharacteristic
432#14556048C2311yescharacteristic
433#14556048C2311yescharacteristic, complemented
434#14556048C2311yescharacteristic, complemented
435C22⋊(C71⋊C8)C2311yescharacteristic
436C22⋊(C71⋊C8)C2311yescharacteristic
437C22⋊(C71⋊C8)C2311yescharacteristic
438C22⋊(C71⋊C8)C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic, complemented
440(C2×D71)⋊C8C2311yescharacteristic, complemented
441(C2×D71)⋊C8C2311yescharacteristic, complemented
442(C2×D71)⋊C8C2311yescharacteristic, complemented
443#14556038C2311yescharacteristic, complemented
444#14556038C2311yescharacteristic, complemented
445C8×Dic71C2311yescharacteristic, complemented
446C8×Dic71C2311yescharacteristic, complemented
447C2×#41×C71C2311yescharacteristic
448C22×D4×C71—21no—
449C22×D4×C71C2311yescharacteristic
450C23×C4×C71C2311yescharacteristic
451C2×SD16×C71C2311yescharacteristic, complemented
452C2×SD16×C71C2311yescharacteristic, complemented
453C2×D8×C71C2311yescharacteristic, complemented
454C2×D8×C71C2311yescharacteristic, complemented
455C2×M16×C71C2311yescharacteristic
456C2×M16×C71C2311yescharacteristic
457#123×C71—21no—
458C22⋊Q8×C71C2311yescharacteristic
459C22⋊Q8×C71C2311yescharacteristic
460#121×C71—21no—
461#121×C71—21no—
462#121×C71C2311yescharacteristic
463#121×C71C2311yescharacteristic
464#121×C71C2311yescharacteristic
465#121×C71C2311yescharacteristic
466#121×C71C2311yescharacteristic
467#121×C71C2311yescharacteristic
468#120×C71—21no—
469C4×D4×C71—21no—
470C4×D4×C71—21no—
471#117×C71C2311yescharacteristic
472C2×C4⋊C4×C71C2311yescharacteristic
473C2×C22⋊C4×C71—21no—
474#107×C71C2311yescharacteristic, complemented
475#107×C71C2311yescharacteristic, complemented
476#106×C71C2311yescharacteristic, complemented
477#106×C71C2311yescharacteristic, complemented
478#103×C71C2311yescharacteristic, complemented
479#103×C71C2311yescharacteristic, complemented
480#102×C71C2311yescharacteristic, complemented
481#102×C71C2311yescharacteristic, complemented
482#102×C71C2311yescharacteristic, complemented
483#102×C71C2311yescharacteristic, complemented
484#102×C71C2311yescharacteristic, complemented
485#102×C71C2311yescharacteristic, complemented
486C22⋊C8×C71C2311yescharacteristic
487C22⋊C8×C71C2311yescharacteristic
488C22⋊C8×C71C2311yescharacteristic
489C22⋊C8×C71C2311yescharacteristic
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—21no—
494C23×D71—21no—
495C23×D71—21no—
496C23×D71—21no—
497C23×D71—21no—
498C23×D71—21no—
499C23×D71—44no—
500C23×D71—82no—
501C23×D71—82no—
502#11765866—22no—
503#11765866—22no—
504#11765866—41no—
505#11765866—41no—
506#11765865—41no—
507#11765865—41no—
508#11765865—41no—
509#11765865—41no—
510#11765865—44no—
511#11765865—82no—
512#11765864—41no—
513#11765864—41no—
514C2×Dic142—21no—
515C2×Dic142C2×D411yescharacteristic
516C2×Dic142C2411yescharacteristic
517C2×D284—21no—
518C2×D284—22no—
519C2×D284—22no—
520C2×D284—22no—
521C2×D284—22no—
522C2×D284—22no—
523C2×D284—22no—
524C2×D284—21no—
525C2×D284—21no—
526C2×D284—21no—
527C2×D284—21no—
528C2×D284—21no—
529C2×D284—21no—
530C2×D284—21no—
531C2×D284—21no—
532C2×D284—21no—
533C2×D284—21no—
534C2×D284—21no—
535C2×D284—21no—
536C2×D284—41no—
537C2×D284—41no—
538C2×D284—41no—
539C2×D284—41no—
540C2×D284—41no—
541C2×D284—41no—
542C2×D284—44no—
543C2×D284—44no—
544C2×D284—44no—
545C2×D284—44no—
546C2×D284C2×D411yescharacteristic
547C2×D284C2411yescharacteristic
548C2×D284C2411yescharacteristic
549C2×D284C2411yescharacteristic
550C2×D284C2411yescharacteristic
551C2×D284C2411yescharacteristic
552C2×C22⋊D71—21no—
553C2×C22⋊D71—21no—
554C2×C22⋊D71—21no—
555C2×C22⋊D71—21no—
556C2×C22⋊D71—21no—
557C2×C22⋊D71—21no—
558C2×C22⋊D71—21no—
559C2×C22⋊D71—21no—
560C2×C22⋊D71—21no—
561C2×C22⋊D71—21no—
562C2×C22⋊D71—21no—
563C2×C22⋊D71—21no—
564C2×C22⋊D71—21no—
565C2×C22⋊D71—21no—
566C2×C22⋊D71—21no—
567C2×C22⋊D71—82no—
568C2×C22⋊D71C2×D411yescharacteristic
569C2×C22⋊D71C2×D411yescharacteristic
570C2×C22⋊D71C2×D411yescharacteristic
571C2×C22⋊D71C2×D411yescharacteristic
572C2×C22⋊D71C2×D411yescharacteristic
573C2×C22⋊D71C2×D411yescharacteristic
574D4×D71—22no—
575D4×D71—22no—
576D4×D71—41no—
577D4×D71—41no—
578D4×D71—41no—
579D4×D71—41no—
580D4×D71—44no—
581D4×D71—44no—
582D4×D71—82no—
583D4×D71—82no—
584D4×D71—82no—
585D4×D71—82no—
586C22×Dic71—21no—
587C22×Dic71—21no—
588C22×Dic71—21no—
589C2×C4×D71—21no—
590C2×C4×D71—21no—
591C2×C4×D71—21no—
592C2×C4×D71—21no—
593C2×C4×D71—21no—
594C2×C4×D71—21no—
595C2×C4×D71—21no—
596C2×C4×D71—21no—
597C2×C4×D71—21no—
598C2×C4×D71C2411yescharacteristic
599C2×C4×D71C2411yescharacteristic
600#11765855—41no—
601#11765854—22no—
602#11765854—22no—
603#11765854—41no—
604#11765854—41no—
605#11765853—41no—
606#11765852—41no—
607D568—22no—
608D568—22no—
609D568—41no—
610D568—41no—
611#11765850—22no—
612#11765850—22no—
613#11765850—22no—
614#11765850—22no—
615#11765850—41no—
616#11765850—41no—
617#11765850—41no—
618#11765850—41no—
619#11765850—41no—
620#11765848—41no—
621#11765848—41no—
622C2×C71⋊C8—41no—
623C2×C71⋊C8—41no—
624C2×C71⋊C8C2411yescharacteristic
625C2×C71⋊C8C2411yescharacteristic
626C2×C71⋊C8C2411yescharacteristic
627C2×C71⋊C8C2411yescharacteristic
628C8×D71—41no—
629C8×D71—41no—
630C4⋊Dic71—21no—
631C4⋊Dic71—21no—
632C4⋊Dic71C2×D411yescharacteristic
633C4⋊Dic71C2×D411yescharacteristic
634C4⋊Dic71C2411yescharacteristic
635C4⋊Dic71C2411yescharacteristic
636Dic71⋊C4—21no—
637Dic71⋊C4—21no—
638Dic71⋊C4—21no—
639Dic71⋊C4—21no—
640Dic71⋊C4—21no—
641Dic71⋊C4—21no—
642Dic71⋊C4C2×D411yescharacteristic
643Dic71⋊C4C2×D411yescharacteristic
644Dic71⋊C4C2×D411yescharacteristic
645Dic71⋊C4C2×D411yescharacteristic
646C22⋊Dic71—21no—
647C22⋊Dic71—21no—
648C22⋊Dic71—21no—
649C22⋊Dic71—21no—
650C22⋊Dic71—21no—
651C22⋊Dic71—21no—
652C22⋊Dic71—21no—
653C22⋊Dic71—21no—
654C22⋊Dic71—21no—
655C22⋊Dic71C2×D411yescharacteristic
656C22⋊Dic71C2×D411yescharacteristic
657C22⋊Dic71C2×D411yescharacteristic
658C22⋊Dic71C2×D411yescharacteristic
659C22⋊Dic71C2×D411yescharacteristic
660C22⋊Dic71C2×D411yescharacteristic
661(C2×D71)⋊C4—21no—
662(C2×D71)⋊C4—21no—
663(C2×D71)⋊C4—21no—
664(C2×D71)⋊C4—21no—
665(C2×D71)⋊C4—21no—
666(C2×D71)⋊C4—21no—
667(C2×D71)⋊C4—21no—
668(C2×D71)⋊C4—21no—
669(C2×D71)⋊C4—21no—
670(C2×D71)⋊C4—21no—
671(C2×D71)⋊C4—21no—
672(C2×D71)⋊C4—21no—
673(C2×D71)⋊C4—21no—
674(C2×D71)⋊C4—21no—
675(C2×D71)⋊C4—21no—
676(C2×D71)⋊C4—21no—
677(C2×D71)⋊C4—21no—
678(C2×D71)⋊C4—21no—
679(C2×D71)⋊C4C2×D411yescharacteristic
680(C2×D71)⋊C4C2×D411yescharacteristic
681(C2×D71)⋊C4C2×D411yescharacteristic
682(C2×D71)⋊C4C2×D411yescharacteristic
683C4×Dic71—21no—
684C4×Dic71—21no—
685C4×Dic71—21no—
686C4×Dic71C2411yescharacteristic
687C4×Dic71C2411yescharacteristic
688C24×C71—21no—
689C24×C71C2×D411yescharacteristic
690#41×C71—41no—
691#41×C71—41no—
692C2×Q8×C71C2411yescharacteristic
693C2×D4×C71—21no—
694C2×D4×C71—21no—
695C2×D4×C71—21no—
696C2×D4×C71—21no—
697C2×D4×C71—21no—
698C2×D4×C71—21no—
699C2×D4×C71—21no—
700C2×D4×C71—21no—
701C2×D4×C71—41no—
702C2×D4×C71—41no—
703C2×D4×C71—82no—
704C2×D4×C71C2411yescharacteristic
705C2×D4×C71C2411yescharacteristic
706C2×D4×C71C2411yescharacteristic
707C22×C4×C71—21no—
708C22×C4×C71—21no—
709C22×C4×C71—41no—
710C22×C4×C71—41no—
711C22×C4×C71C2×D411yescharacteristic
712C22×C4×C71C2×D411yescharacteristic
713C22×C4×C71C2×D411yescharacteristic
714C22×C4×C71C2411yescharacteristic
715C22×C4×C71C2411yescharacteristic
716C22×C4×C71C2411yescharacteristic
717SD16×C71—41no—
718SD16×C71—41no—
719D8×C71—41no—
720D8×C71—41no—
721M16×C71—41no—
722M16×C71—41no—
723C2×C8×C71C2411yescharacteristic
724C2×C8×C71C2411yescharacteristic
725C2×C8×C71C2411yescharacteristic
726C2×C8×C71C2411yescharacteristic
727C4⋊C4×C71—21no—
728C4⋊C4×C71—21no—
729C4⋊C4×C71—21no—
730C4⋊C4×C71C2411yescharacteristic
731C4⋊C4×C71C2411yescharacteristic
732C4⋊C4×C71C2411yescharacteristic
733C4⋊C4×C71C2411yescharacteristic
734C22⋊C4×C71—21no—
735C22⋊C4×C71—21no—
736C22⋊C4×C71—21no—
737C22⋊C4×C71—21no—
738C22⋊C4×C71—21no—
739C22⋊C4×C71—21no—
740C22⋊C4×C71—21no—
741C22⋊C4×C71—21no—
742C22⋊C4×C71—21no—
743C42×C71—21no—
744C23×C71—22no—
745C23×C71—21no—
746C23×C71—21no—
747C23×C71—21no—
748C23×C71—41no—
749C23×C71—41no—
750C23×C71—42no—
751C23×C71—81no—
752C23×C71—81no—
753C23×C71C22×D411yescharacteristic
754C23×C71C22×D411yescharacteristic
755C23×C71C22×D411yescharacteristic
756C22×D71—21no—
757C22×D71—21no—
758C22×D71—24no—
759C22×D71—21no—
760C22×D71—21no—
761C22×D71—21no—
762C22×D71—42no—
763C22×D71—42no—
764C22×D71—42no—
765C22×D71—42no—
766C22×D71—42no—
767C22×D71—42no—
768C22×D71—42no—
769C22×D71—42no—
770C22×D71—42no—
771C22×D71—42no—
772C22×D71—42no—
773C22×D71—81no—
774C22×D71—81no—
775C22×D71—81no—
776C22×D71—81no—
777C22×D71—81no—
778C22×D71—81no—
779C22×D71—81no—
780C22×D71—81no—
781C22×D71—81no—
782C22×D71—81no—
783C22×D71—81no—
784C22×D71—81no—
785C22×D71—81no—
786C22×D71—81no—
787C22×D71—81no—
788C22×D71—816no—
789C22×D71C22×D411yescharacteristic
790C22×D71C22×D411yescharacteristic
791Q8×C71—21no—
792Q8×C71—21no—
793D4×C71—21no—
794D4×C71—21no—
795D4×C71—21no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—21no—
799D4×C71—42no—
800D4×C71—42no—
801D4×C71—42no—
802D4×C71—81no—
803D4×C71—81no—
804D4×C71—81no—
805D4×C71—81no—
806D4×C71—81no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—21no—
816C2×C4×C71—21no—
817C2×C4×C71—21no—
818C2×C4×C71—41no—
819C2×C4×C71—41no—
820C2×C4×C71—41no—
821C2×C4×C71—42no—
822C2×C4×C71—42no—
823C2×C4×C71C22×D411yescharacteristic
824C2×C4×C71C22×D411yescharacteristic
825C2×C4×C71C22×D411yescharacteristic
826C2×C4×C71C2511yescharacteristic
827C22⋊D71—22no—
828C22⋊D71—22no—
829C22⋊D71—41no—
830C22⋊D71—41no—
831C22⋊D71—41no—
832C22⋊D71—41no—
833C22⋊D71—42no—
834C22⋊D71—42no—
835C22⋊D71—42no—
836C22⋊D71—81no—
837C22⋊D71—81no—
838C22⋊D71—81no—
839C22⋊D71—81no—
840C22⋊D71—81no—
841C22⋊D71—81no—
842C22⋊D71—81no—
843C22⋊D71—81no—
844C22⋊D71—81no—
845C22⋊D71—81no—
846C22⋊D71—81no—
847C22⋊D71—81no—
848C2×Dic71—21no—
849C2×Dic71—21no—
850C2×Dic71—21no—
851C2×Dic71—81no—
852C2×Dic71—81no—
853C2×Dic71—81no—
854C2×Dic71C22×D411yescharacteristic
855C2×Dic71C22×D411yescharacteristic
856C2×Dic71C22×D411yescharacteristic
857C2×Dic71C22×D411yescharacteristic
858C2×Dic71C22×D411yescharacteristic
859C2×Dic71C22×D411yescharacteristic
860D284—24no—
861D284—21no—
862D284—21no—
863D284—21no—
864D284—21no—
865D284—21no—
866D284—21no—
867D284—21no—
868D284—21no—
869D284—41no—
870D284—42no—
871D284—42no—
872D284—42no—
873D284—42no—
874D284—42no—
875D284—42no—
876D284—42no—
877D284—81no—
878D284—81no—
879D284—81no—
880D284—81no—
881D284—81no—
882D284H(5,𝔽2)12yes—
883D284H(5,𝔽2)12yes—
884C4×D71—21no—
885C4×D71—21no—
886C4×D71—21no—
887C4×D71—21no—
888C4×D71—42no—
889C4×D71—42no—
890C4×D71—81no—
891C4×D71—81no—
892C4×D71—81no—
893C4×D71—81no—
894C4×D71—81no—
895C4×D71—81no—
896C4×D71—81no—
897Dic142—21no—
898Dic142—21no—
899Dic142—41no—
900Dic142—81no—
901C8×C71—21no—
902C8×C71—21no—
903C8×C71—21no—
904C8×C71—21no—
905C71⋊C8—21no—
906C71⋊C8—21no—
907C71⋊C8—21no—
908C71⋊C8—21no—
909C22×C71—21no—
910C22×C71—21no—
911C22×C71—21no—
912C22×C71—21no—
913C22×C71—21no—
914C22×C71—21no—
915C22×C71—21no—
916C22×C71—21no—
917C22×C71—44no—
918C22×C71—41no—
919C22×C71—41no—
920C22×C71—41no—
921C22×C71—41no—
922C22×C71—41no—
923C22×C71—41no—
924C22×C71—41no—
925C22×C71—41no—
926C22×C71—41no—
927C22×C71—162no—
928C22×C71#57612yes—
929C22×C71C23×D411yescharacteristic
930C2×D71—21no—
931C2×D71—21no—
932C2×D71—21no—
933C2×D71—21no—
934C2×D71—22no—
935C2×D71—22no—
936C2×D71—21no—
937C2×D71—21no—
938C2×D71—41no—
939C2×D71—41no—
940C2×D71—41no—
941C2×D71—41no—
942C2×D71—41no—
943C2×D71—41no—
944C2×D71—41no—
945C2×D71—41no—
946C2×D71—41no—
947C2×D71—41no—
948C2×D71—41no—
949C2×D71—41no—
950C2×D71—41no—
951C2×D71—84no—
952C2×D71—84no—
953C2×D71—84no—
954C2×D71—84no—
955C2×D71—84no—
956C2×D71—84no—
957C2×D71—162no—
958C2×D71—162no—
959C2×D71—162no—
960C4×C71—21no—
961C4×C71—21no—
962C4×C71—21no—
963C4×C71—41no—
964C4×C71—41no—
965C4×C71—41no—
966C4×C71—41no—
967C4×C71—41no—
968C4×C71C2×H(5,𝔽2)11yescharacteristic
969C4×C71C2×H(5,𝔽2)11yescharacteristic
970Dic71—21no—
971Dic71—21no—
972Dic71—21no—
973Dic71—21no—
974Dic71—21no—
975Dic71—21no—
976Dic71—41no—
977Dic71—41no—
978Dic71—41no—
979#61609—711nomaximal, Sylow
980C2×C71—22no—
981C2×C71—41no—
982C2×C71—41no—
983C2×C71—81no—
984C2×C71—81no—
985C2×C71—81no—
986C2×C71#348411yescharacteristic
987C2×C71C2×#57611yescharacteristic
988C2×C71#358511yescharacteristic
989D71—41no—
990D71—41no—
991D71—42no—
992D71—42no—
993D71—81no—
994D71—81no—
995D71—81no—
996#3542—711no—
997#3484—711no—
998#3325—711no—
999#3322—711no—
1000#3319—711no—
1001#3318—711no—
1002#3310—711no—
1003#3306—711no—
1004#3296—711no—
1005#3294—711no—
1006#3280—711no—
1007D4×D8—711no—
1008#3274—711no—
1009#3273—711no—
1010#3268—711no—
1011#3264—711no—
1012#3264—711no—
1013#3264—711no—
1014#3224—711no—
1015#3220—711no—
1016#3199—711no—
1017#3198—711no—
1018#3194D7111yescharacteristic, complemented
1019#3191—711no—
1020#3122—711no—
1021#3118—711no—
1022#3012—711no—
1023#3008—711no—
1024#3003—711no—
1025C2×#447—711no—
1026#2976—711no—
1027C71#6160911yescharacteristic, complemented, Sylow
1028C2×H(5,𝔽2)—711no—
1029C23×D4—711no—
1030C2×AGL(1,ℤ/8)—711no—
1031C2×AGL(1,ℤ/8)—711no—
1032C2×AGL(1,ℤ/8)—711no—
1033C2×AGL(1,ℤ/8)—711no—
1034C2×#135—711no—
1035C22×D8—711no—
1036C22×D8—711no—
1037C22×D8—711no—
1038#562—1421no—
1039#560—1421no—
1040#555—711no—
1041#553—711no—
1042#552—711no—
1043#551—1421no—
1044#550—711no—
1045#547—711no—
1046#546—711no—
1047#546—711no—
1048#546—711no—
1049#546—711no—
1050#546—711no—
1051#546—711no—
1052#546—1421no—
1053#546—1421no—
1054#546—1421no—
1055D42—711no—
1056D42—711no—
1057D42—711no—
1058D42—711no—
1059D42—711no—
1060D42—1421no—
1061D42—1421no—
1062#542—711no—
1063#540—711no—
1064#540—1421no—
1065#538—1421no—
1066#537—711no—
1067#535—711no—
1068#535—711no—
1069#535—711no—
1070#535—1421no—
1071#534—1421no—
1072#534—1421no—
1073#534—1421no—
1074#525—711no—
1075#525—711no—
1076#525C2×D7111yescharacteristic, complemented
1077C2×#121C2×D7111yescharacteristic, complemented
1078C2×#120—1421no—
1079C2×#120—1421no—
1080#518—711no—
1081#496—711no—
1082#496—711no—
1083#495—711no—
1084#493—711no—
1085#490—711no—
1086#489—711no—
1087#488—711no—
1088#486—711no—
1089#485—711no—
1090#485—711no—
1091#483C2×D7111yescharacteristic, complemented
1092#482—711no—
1093#482—711no—
1094#482—711no—
1095#482—711no—
1096#482C2×D7111yescharacteristic, complemented
1097#482C2×D7111yescharacteristic, complemented
1098#481—711no—
1099#480—711no—
1100#480C2×D7111yescharacteristic, complemented
1101#478—711no—
1102#478—711no—
1103#476—711no—
1104#474—711no—
1105#469—711no—
1106#469—711no—
1107#469—711no—
1108#469C2×D7111yescharacteristic, complemented
1109#469C2×D7111yescharacteristic, complemented
1110#468—711no—
1111#468C2×D7111yescharacteristic, complemented
1112#468C2×D7111yescharacteristic, complemented
1113#467—711no—
1114#466—711no—
1115#466—711no—
1116#466—711no—
1117#466—711no—
1118#465—711no—
1119#465—711no—
1120#465—711no—
1121#464—711no—
1122#463—711no—
1123#463—711no—
1124#463—711no—
1125#463—711no—
1126#463—711no—
1127#460—711no—
1128#459—711no—
1129#459—711no—
1130#459—711no—
1131#459—711no—
1132#459—711no—
1133#452—711no—
1134#452—711no—
1135#452—711no—
1136#450—711no—
1137#450—711no—
1138#450—711no—
1139#450—711no—
1140#450—711no—
1141#450C2×D7111yescharacteristic, complemented
1142#449—711no—
1143#449—711no—
1144#449—711no—
1145#449—711no—
1146#449—711no—
1147#449—711no—
1148#449—711no—
1149#449C2×D7111yescharacteristic, complemented
1150#449C2×D7111yescharacteristic, complemented
1151#447—711no—
1152#447—711no—
1153#447—711no—
1154#447—711no—
1155#447—711no—
1156#447—711no—
1157#447—711no—
1158#447—711no—
1159#447—711no—
1160#447—711no—
1161#447—711no—
1162#447—711no—
1163#447—711no—
1164#447—711no—
1165#447—711no—
1166#447—711no—
1167#447—711no—
1168#447C2×D7111yescharacteristic, complemented
1169#442—711no—
1170#442—711no—
1171#442—711no—
1172#440—711no—
1173C4×SD16—711no—
1174C4×D8—711no—
1175C4×D8—711no—
1176C4×D8—711no—
1177#436—711no—
1178#436—711no—
1179#435—711no—
1180#435—711no—
1181#435—711no—
1182#435—711no—
1183C8×D4—711no—
1184C8×D4—711no—
1185#433—711no—
1186#433—711no—
1187#418—711no—
1188#418—711no—
1189#418—711no—
1190#417—711no—
1191#416—711no—
1192C2×#102—711no—
1193C2×#102—711no—
1194C2×#102—711no—
1195#408—711no—
1196#408—711no—
1197#407C2×D7111yescharacteristic, complemented
1198C2×C22⋊C8—711no—
1199C25—1421no—
1200H(5,𝔽2)—2842no—
1201H(5,𝔽2)—2842no—
1202C2×#41—711no—
1203C2×#41—711no—
1204C2×#41—711no—
1205C2×#41—711no—
1206C2×#41—711no—
1207C2×#41—1421no—
1208C2×#41—1421no—
1209C2×#41C22×D7111yescharacteristic
1210C22×D4—21no—
1211C22×D4—2842no—
1212C22×D4—2842no—
1213C22×D4—711no—
1214C22×D4—711no—
1215C22×D4—711no—
1216C22×D4—711no—
1217C22×D4—711no—
1218C22×D4—711no—
1219C22×D4—711no—
1220C22×D4—711no—
1221C22×D4—711no—
1222C22×D4—1421no—
1223C22×D4—1421no—
1224C22×D4—1421no—
1225C22×D4—1421no—
1226C22×D4—1421no—
1227C22×D4—1421no—
1228C22×D4—1421no—
1229C22×D4—1421no—
1230C22×D4—1421no—
1231C22×D4—1421no—
1232C22×D4—1421no—
1233C22×D4C22×D7111yescharacteristic
1234C23×C4C22×D7111yescharacteristic
1235AGL(1,ℤ/8)—2842no—
1236AGL(1,ℤ/8)—2842no—
1237AGL(1,ℤ/8)—2842no—
1238AGL(1,ℤ/8)—2842no—
1239#135—2842no—
1240C2×Q16—711no—
1241C2×SD16—711no—
1242C2×SD16—711no—
1243C2×SD16—711no—
1244C2×SD16—711no—
1245C2×SD16—711no—
1246C2×SD16—711no—
1247C2×SD16C22×D7111yescharacteristic, complemented
1248C2×SD16C22×D7111yescharacteristic, complemented
1249C2×D8—2842no—
1250C2×D8—2842no—
1251C2×D8—2842no—
1252C2×D8—711no—
1253C2×D8—711no—
1254C2×D8—711no—
1255C2×D8—711no—
1256C2×D8—711no—
1257C2×D8—711no—
1258C2×D8—711no—
1259C2×D8—711no—
1260C2×D8—711no—
1261C2×D8—711no—
1262C2×D8—711no—
1263C2×D8—711no—
1264C2×D8—711no—
1265C2×D8C22×D7111yescharacteristic, complemented
1266C2×D8C22×D7111yescharacteristic, complemented
1267C2×M16—711no—
1268C2×M16—711no—
1269C2×M16C22×D7111yescharacteristic
1270C2×M16C22×D7111yescharacteristic
1271C22×C8—711no—
1272C22×C8—711no—
1273C22×C8—711no—
1274C22×C8—711no—
1275C4⋊Q8—711no—
1276#127—711no—
1277#127—711no—
1278#127—711no—
1279#127—1421no—
1280#127—1421no—
1281#127—1421no—
1282#126—1421no—
1283#126—1421no—
1284#126—1421no—
1285#125—711no—
1286#125—1421no—
1287#124—711no—
1288#124—711no—
1289#124—711no—
1290#124—1421no—
1291#124—1421no—
1292#124—1421no—
1293#124—1421no—
1294#124—1421no—
1295#123—21no—
1296#123—711no—
1297#123—711no—
1298#123—1421no—
1299#123—1421no—
1300#123—1421no—
1301#123—1421no—
1302#123—1421no—
1303#123—1421no—
1304#123—1421no—
1305#123—1421no—
1306#123—1421no—
1307#123—1421no—
1308#123—1421no—
1309#123—1421no—
1310#123—1421no—
1311#123—1421no—
1312C22⋊Q8—711no—
1313C22⋊Q8—711no—
1314C22⋊Q8—711no—
1315C22⋊Q8—711no—
1316C22⋊Q8—711no—
1317C22⋊Q8—1421no—
1318C22⋊Q8—1421no—
1319C22⋊Q8—1421no—
1320C22⋊Q8C22×D7111yescharacteristic
1321C22⋊Q8C22×D7111yescharacteristic
1322#121—21no—
1323#121—21no—
1324#121—711no—
1325#121—711no—
1326#121—711no—
1327#121—711no—
1328#121—711no—
1329#121—711no—
1330#121—711no—
1331#121—711no—
1332#121—711no—
1333#121—711no—
1334#121—711no—
1335#121—1421no—
1336#121—1421no—
1337#121—1421no—
1338#121—1421no—
1339#121—1421no—
1340#121—1421no—
1341#121—1421no—
1342#121—1421no—
1343#121—1421no—
1344#121—1421no—
1345#121—1421no—
1346#121—1421no—
1347#121—1421no—
1348#121—1421no—
1349#121—1421no—
1350#121—1421no—
1351#121—1421no—
1352#121—1421no—
1353#121—1421no—
1354#121—1421no—
1355#121—1421no—
1356#121—1421no—
1357#121C22×D7111yescharacteristic
1358#121C22×D7111yescharacteristic
1359#121C22×D7111yescharacteristic
1360#121C22×D7111yescharacteristic
1361#121C22×D7111yescharacteristic
1362#121C22×D7111yescharacteristic
1363#120—21no—
1364#120—711no—
1365#120—711no—
1366#120—1421no—
1367#120—1421no—
1368#120—1421no—
1369#120—1421no—
1370#120—1421no—
1371#120—1421no—
1372#120—1421no—
1373#120—1421no—
1374#120—1421no—
1375#120—1421no—
1376#120—1421no—
1377#120—1421no—
1378#120—1421no—
1379#120—1421no—
1380#120—1421no—
1381#120—1421no—
1382#120—1421no—
1383#120—1421no—
1384#120—1421no—
1385#120—1421no—
1386#120—1421no—
1387#120—1421no—
1388#120—1421no—
1389C4×Q8—711no—
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—711no—
1393C4×D4—711no—
1394C4×D4—711no—
1395C4×D4—711no—
1396C4×D4—711no—
1397C4×D4—711no—
1398C4×D4—711no—
1399C4×D4—711no—
1400C4×D4—711no—
1401C4×D4—711no—
1402C4×D4—711no—
1403C4×D4—1421no—
1404C4×D4—1421no—
1405C4×D4—1421no—
1406C4×D4—1421no—
1407C4×D4—1421no—
1408C4×D4—1421no—
1409#117—711no—
1410#117—711no—
1411#117—711no—
1412#117—1421no—
1413#117—1421no—
1414#117C22×D7111yescharacteristic
1415C2×C4⋊C4—711no—
1416C2×C4⋊C4C22×D7111yescharacteristic
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—1421no—
1419C2×C22⋊C4—1421no—
1420C2×C22⋊C4—1421no—
1421C2×C22⋊C4—1421no—
1422C2×C22⋊C4—1421no—
1423C2×C22⋊C4—1421no—
1424C2×C22⋊C4—1421no—
1425C2×C22⋊C4—1421no—
1426#107—711no—
1427#107—711no—
1428#107C22×D7111yescharacteristic, complemented
1429#107C22×D7111yescharacteristic, complemented
1430#106—711no—
1431#106—711no—
1432#106C22×D7111yescharacteristic, complemented
1433#106C22×D7111yescharacteristic, complemented
1434C4⋊C8—711no—
1435C4⋊C8—711no—
1436C4⋊C8—711no—
1437C4⋊C8—711no—
1438#103—711no—
1439#103—711no—
1440#103—711no—
1441#103—711no—
1442#103C22×D7111yescharacteristic, complemented
1443#103C22×D7111yescharacteristic, complemented
1444#102—711no—
1445#102—711no—
1446#102—711no—
1447#102—711no—
1448#102—711no—
1449#102—711no—
1450#102—711no—
1451#102—711no—
1452#102—711no—
1453#102—711no—
1454#102—711no—
1455#102—711no—
1456#102—711no—
1457#102—711no—
1458#102—711no—
1459#102—711no—
1460#102—711no—
1461#102—711no—
1462#102—711no—
1463#102—711no—
1464#102C22×D7111yescharacteristic, complemented
1465#102C22×D7111yescharacteristic, complemented
1466#102C22×D7111yescharacteristic, complemented
1467#102C22×D7111yescharacteristic, complemented
1468#102C22×D7111yescharacteristic, complemented
1469#102C22×D7111yescharacteristic, complemented
1470C22⋊C8—711no—
1471C22⋊C8—711no—
1472C22⋊C8—711no—
1473C22⋊C8—711no—
1474C22⋊C8—711no—
1475C22⋊C8—711no—
1476C22⋊C8—711no—
1477C22⋊C8—711no—
1478C22⋊C8C22×D7111yescharacteristic
1479C22⋊C8C22×D7111yescharacteristic
1480C22⋊C8C22×D7111yescharacteristic
1481C22⋊C8C22×D7111yescharacteristic
1482#97—711no—
1483#97—711no—
1484C4×C8—711no—
1485C4×C8—711no—
1486C24—21no—
1487C24—2844no—
1488C24—5682no—
1489C24—5682no—
1490C24—1421no—
1491C24—1421no—
1492C24—1421no—
1493C24—1421no—
1494C24—1421no—
1495C24—1421no—
1496C24—1421no—
1497C24—1421no—
1498C24—1421no—
1499C24D4×D7111yescharacteristic
1500#41—41no—
1501#41—41no—
1502#41—2841no—
1503#41—2841no—
1504#41—2841no—
1505#41—2841no—
1506#41—2844no—
1507#41—2841no—
1508#41—2841no—
1509#41—2841no—
1510#41—2841no—
1511#41—5682no—
1512#41—1422no—
1513#41—1422no—
1514C2×Q8—711no—
1515C2×Q8—711no—
1516C2×Q8—1421no—
1517C2×Q8C23×D7111yescharacteristic
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—82no—
1529C2×D4—2841no—
1530C2×D4—2841no—
1531C2×D4—2841no—
1532C2×D4—2841no—
1533C2×D4—2841no—
1534C2×D4—2841no—
1535C2×D4—2844no—
1536C2×D4—2844no—
1537C2×D4—2844no—
1538C2×D4—2844no—
1539C2×D4—2844no—
1540C2×D4—2844no—
1541C2×D4—2841no—
1542C2×D4—2841no—
1543C2×D4—2841no—
1544C2×D4—2841no—
1545C2×D4—5682no—
1546C2×D4—5682no—
1547C2×D4—5682no—
1548C2×D4—5682no—
1549C2×D4—5682no—
1550C2×D4—711no—
1551C2×D4—711no—
1552C2×D4—711no—
1553C2×D4—711no—
1554C2×D4—711no—
1555C2×D4—711no—
1556C2×D4—711no—
1557C2×D4—711no—
1558C2×D4—711no—
1559C2×D4—711no—
1560C2×D4—711no—
1561C2×D4—711no—
1562C2×D4—1421no—
1563C2×D4—1421no—
1564C2×D4—1422no—
1565C2×D4—1422no—
1566C2×D4—1422no—
1567C2×D4—1422no—
1568C2×D4—1421no—
1569C2×D4—1421no—
1570C2×D4—1421no—
1571C2×D4—1421no—
1572C2×D4—1421no—
1573C2×D4—1422no—
1574C2×D4—1422no—
1575C2×D4—1421no—
1576C2×D4—1421no—
1577C2×D4—1421no—
1578C2×D4—1421no—
1579C2×D4—1421no—
1580C2×D4—1421no—
1581C2×D4—1421no—
1582C2×D4—1421no—
1583C2×D4—1421no—
1584C2×D4—1422no—
1585C2×D4—1422no—
1586C2×D4—1421no—
1587C2×D4—1421no—
1588C2×D4—1421no—
1589C2×D4—1421no—
1590C2×D4—1421no—
1591C2×D4—1421no—
1592C2×D4—1421no—
1593C2×D4—1421no—
1594C2×D4—1421no—
1595C2×D4—1421no—
1596C2×D4—1421no—
1597C2×D4—1421no—
1598C2×D4C23×D7111yescharacteristic
1599C2×D4C23×D7111yescharacteristic
1600C2×D4C23×D7111yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—41no—
1604C22×C4—41no—
1605C22×C4—711no—
1606C22×C4—711no—
1607C22×C4—1421no—
1608C22×C4—1421no—
1609C22×C4—1421no—
1610C22×C4—1421no—
1611C22×C4—1421no—
1612C22×C4—1421no—
1613C22×C4—1421no—
1614C22×C4—1421no—
1615C22×C4—1421no—
1616C22×C4—1421no—
1617C22×C4—1421no—
1618C22×C4—1421no—
1619C22×C4D4×D7111yescharacteristic
1620C22×C4D4×D7111yescharacteristic
1621C22×C4D4×D7111yescharacteristic
1622C22×C4C23×D7111yescharacteristic
1623C22×C4C23×D7111yescharacteristic
1624C22×C4C23×D7111yescharacteristic
1625Q16—2841no—
1626SD16—41no—
1627SD16—41no—
1628SD16—2841no—
1629SD16—2841no—
1630SD16—2841no—
1631SD16—2841no—
1632SD16—1422no—
1633SD16—1422no—
1634D8—41no—
1635D8—41no—
1636D8—2841no—
1637D8—2841no—
1638D8—2841no—
1639D8—2841no—
1640D8—2841no—
1641D8—2841no—
1642D8—2841no—
1643D8—1422no—
1644D8—1422no—
1645D8—1422no—
1646D8—1422no—
1647D8—1422no—
1648D8—1422no—
1649M16—41no—
1650M16—41no—
1651M16—2841no—
1652M16—2841no—
1653C2×C8—2841no—
1654C2×C8—2841no—
1655C2×C8—2841no—
1656C2×C8—2841no—
1657C2×C8—711no—
1658C2×C8—711no—
1659C2×C8—711no—
1660C2×C8—711no—
1661C2×C8C23×D7111yescharacteristic
1662C2×C8C23×D7111yescharacteristic
1663C2×C8C23×D7111yescharacteristic
1664C2×C8C23×D7111yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—711no—
1669C4⋊C4—711no—
1670C4⋊C4—711no—
1671C4⋊C4—711no—
1672C4⋊C4—711no—
1673C4⋊C4—711no—
1674C4⋊C4—711no—
1675C4⋊C4—711no—
1676C4⋊C4—1421no—
1677C4⋊C4—1421no—
1678C4⋊C4—1421no—
1679C4⋊C4—1421no—
1680C4⋊C4—1421no—
1681C4⋊C4—1421no—
1682C4⋊C4—1421no—
1683C4⋊C4—1421no—
1684C4⋊C4C23×D7111yescharacteristic
1685C4⋊C4C23×D7111yescharacteristic
1686C4⋊C4C23×D7111yescharacteristic
1687C4⋊C4C23×D7111yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—711no—
1698C22⋊C4—711no—
1699C22⋊C4—711no—
1700C22⋊C4—711no—
1701C22⋊C4—711no—
1702C22⋊C4—711no—
1703C22⋊C4—711no—
1704C22⋊C4—711no—
1705C22⋊C4—711no—
1706C22⋊C4—711no—
1707C22⋊C4—1421no—
1708C22⋊C4—1421no—
1709C22⋊C4—1421no—
1710C22⋊C4—1421no—
1711C22⋊C4—1421no—
1712C22⋊C4—1421no—
1713C22⋊C4—1421no—
1714C22⋊C4—1421no—
1715C22⋊C4—1421no—
1716C22⋊C4—1421no—
1717C22⋊C4—1421no—
1718C22⋊C4—1421no—
1719C22⋊C4—1421no—
1720C22⋊C4—1421no—
1721C22⋊C4—1421no—
1722C22⋊C4—1421no—
1723C22⋊C4—1421no—
1724C22⋊C4—1421no—
1725C22⋊C4—1421no—
1726C22⋊C4—1421no—
1727C22⋊C4—1421no—
1728C22⋊C4—1421no—
1729C22⋊C4—1421no—
1730C22⋊C4—1421no—
1731C22⋊C4—1421no—
1732C22⋊C4—1421no—
1733C22⋊C4—1421no—
1734C42—21no—
1735C42—711no—
1736C42—711no—
1737C42—1421no—
1738C42—1421no—
1739C42—1421no—
1740C23—22no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—41no—
1745C23—41no—
1746C23—42no—
1747C23—81no—
1748C23—81no—
1749C23—2842no—
1750C23—2842no—
1751C23—2842no—
1752C23—2842no—
1753C23—2842no—
1754C23—2842no—
1755C23—2842no—
1756C23—2842no—
1757C23—2842no—
1758C23—2842no—
1759C23—2842no—
1760C23—5681no—
1761C23—5681no—
1762C23—5681no—
1763C23—5681no—
1764C23—5681no—
1765C23—5681no—
1766C23—5681no—
1767C23—5681no—
1768C23—5681no—
1769C23—5681no—
1770C23—5681no—
1771C23—5681no—
1772C23—5681no—
1773C23—5681no—
1774C23—5681no—
1775C23—56816no—
1776C23—711no—
1777C23—711no—
1778C23—1424no—
1779C23—1421no—
1780C23—1421no—
1781C23—1421no—
1782C23—1421no—
1783C23—1421no—
1784C23C2×D4×D7111yescharacteristic
1785C23C2×D4×D7111yescharacteristic
1786C23C2×D4×D7111yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—2841no—
1790Q8—5681no—
1791Q8—1421no—
1792Q8—1421no—
1793D4—21no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—42no—
1800D4—42no—
1801D4—42no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—2842no—
1808D4—2842no—
1809D4—2842no—
1810D4—2842no—
1811D4—2842no—
1812D4—2841no—
1813D4—2842no—
1814D4—2842no—
1815D4—2842no—
1816D4—2841no—
1817D4—2841no—
1818D4—2841no—
1819D4—2841no—
1820D4—2842no—
1821D4—2842no—
1822D4—5681no—
1823D4—5681no—
1824D4—5681no—
1825D4—5681no—
1826D4—5681no—
1827D4—5681no—
1828D4—5681no—
1829D4—5681no—
1830D4—5681no—
1831D4—5681no—
1832D4—5681no—
1833D4—5681no—
1834D4—5681no—
1835D4—5681no—
1836D4—5681no—
1837D4—5681no—
1838D4—5681no—
1839D4—712no—
1840D4—712no—
1841D4—1424no—
1842D4—1422no—
1843D4—1422no—
1844D4—1421no—
1845D4—1421no—
1846D4—1421no—
1847D4—1421no—
1848D4—1421no—
1849D4—1421no—
1850D4—1421no—
1851D4—1421no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—42no—
1867C2×C4—42no—
1868C2×C4—2842no—
1869C2×C4—2842no—
1870C2×C4—5681no—
1871C2×C4—5681no—
1872C2×C4—5681no—
1873C2×C4—5681no—
1874C2×C4—5681no—
1875C2×C4—5681no—
1876C2×C4—5681no—
1877C2×C4—5681no—
1878C2×C4—5681no—
1879C2×C4—5681no—
1880C2×C4—711no—
1881C2×C4—711no—
1882C2×C4—711no—
1883C2×C4—711no—
1884C2×C4—711no—
1885C2×C4—711no—
1886C2×C4—1421no—
1887C2×C4—1421no—
1888C2×C4—1421no—
1889C2×C4—1421no—
1890C2×C4—1421no—
1891C2×C4—1421no—
1892C2×C4—1421no—
1893C2×C4C2×D4×D7111yescharacteristic
1894C2×C4C2×D4×D7111yescharacteristic
1895C2×C4C2×D4×D7111yescharacteristic
1896C2×C4C24×D7111yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—1421no—
1902C8—1421no—
1903C8—1421no—
1904C8—1421no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—21no—
1912C22—21no—
1913C22—44no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—162no—
1924C22—2841no—
1925C22—2841no—
1926C22—2841no—
1927C22—2841no—
1928C22—2841no—
1929C22—2841no—
1930C22—2841no—
1931C22—2841no—
1932C22—2841no—
1933C22—2841no—
1934C22—2841no—
1935C22—2841no—
1936C22—2841no—
1937C22—5684no—
1938C22—5684no—
1939C22—5684no—
1940C22—5684no—
1941C22—5684no—
1942C22—5684no—
1943C22—11362no—
1944C22—11362no—
1945C22—11362no—
1946C22—1421no—
1947C22—1421no—
1948C22—1421no—
1949C22—1421no—
1950C22—1422no—
1951C22—1422no—
1952C22—1421no—
1953C22—1421no—
1954C22#1798680312yes—
1955C22C22×D4×D7111yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—41no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—2841no—
1965C4—2841no—
1966C4—2841no—
1967C4—1421no—
1968C4—1421no—
1969C4—1421no—
1970C4—1421no—
1971C4—1421no—
1972C4—1421no—
1973C4H(5,𝔽2)×D7111yescharacteristic
1974C4H(5,𝔽2)×D7111yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—41no—
1978C2—81no—
1979C2—81no—
1980C2—81no—
1981C2—2842no—
1982C2—2842no—
1983C2—2841no—
1984C2—2841no—
1985C2—5681no—
1986C2—5681no—
1987C2—5681no—
1988C2#2260197211yescharacteristic
1989C2C2×#1798680311yescharacteristic
1990C2#2260311711yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3194C2
socleC22×C71C23×D4
hypercenter#3194D71
hypocenterC71#61609
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3194

Complements

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

NH ≅ G/Ntype
1. #22602660C2semidirect
2. #22601973C2semidirect
3. #22600577C2semidirect
4. #22600547C2semidirect
5. #22600491C2semidirect
6. #22600476C2semidirect
7. #22600359C2semidirect
8. #22600299C2semidirect
9. #22600173C2semidirect
10. #22600151C2semidirect
11. #22600018C2semidirect
12. #22600010C2semidirect
13. #22599957C2semidirect
14. #22599948C2semidirect
15. #22599887C2semidirect
16. #22599827C2semidirect
17. #22599824C2semidirect
18. #22599813C2semidirect
19. #22599432C2semidirect
20. #22599388C2semidirect
21. #22599204C2semidirect
22. #22599190C2semidirect
23. #22599128C2semidirect
24. #22598579C2semidirect
25. #22598519C2semidirect
26. #22597642C2semidirect
27. #22597605C2semidirect
28. #22597570C2semidirect
29. C2×#17986132C2semidirect
30. #22597390C2semidirect
31. C71×#3194C2semidirect
32. C2×#14556174C22semidirect
33. C23×D284C22semidirect
34. C2×#14556156C22semidirect
35. C2×#14556156C22semidirect
36. C2×#14556155C22semidirect
37. C2×#14556152C22semidirect
38. C2×#14556149C22semidirect
39. C22×#11765850C22semidirect
40. C22×#11765850C22semidirect
41. C2×D8×D71C22semidirect
44. #17986713C22semidirect
45. #17986696C22semidirect
46. #17986684C22semidirect
48. #17986667C22semidirect
49. #17986650C22semidirect
50. #17986646C22semidirect
53. #17986643C22semidirect
55. #17986640C22semidirect
56. #17986640C22semidirect
57. #17986640C22semidirect
62. #17986633C22semidirect
63. #17986633C22semidirect
64. #17986633C22semidirect
65. D4×C22⋊D71C22semidirect
66. #17986616C22semidirect
67. #17986602C22semidirect
70. #17986578C22semidirect
71. #17986568C22semidirect
73. #17986565C22semidirect
74. #17986563C22semidirect
79. #17986510C22semidirect
82. #17986473C22semidirect
83. #17986387C22semidirect
84. #17986385C22semidirect
85. #17986380C22semidirect
86. #17986374C22semidirect
87. #17986362C22semidirect
88. #17986360C22semidirect
89. #17986355C22semidirect
90. #17986344C22semidirect
91. #17986340C22semidirect
92. #17986337C22semidirect
93. #17986326C22semidirect
94. #17986325C22semidirect
95. #17986323C22semidirect
96. #17986320C22semidirect
97. #17986319C22semidirect
98. #17986314C22semidirect
99. #17986302C22semidirect
100. #17986298C22semidirect
101. #17986288C22semidirect
102. #17986278C22semidirect
103. #17986253C22semidirect
104. #17986251C22semidirect
105. #17986251C22semidirect
106. #17986246C22semidirect
107. #17986238C22semidirect
108. #17986236C22semidirect
109. #17986234C22semidirect
110. #17986234C22semidirect
111. #17986233C22semidirect
112. #17986230C22semidirect
113. #17986229C22semidirect
114. #17986226C22semidirect
115. #17986224C22semidirect
116. #17986217C22semidirect
117. #17986216C22semidirect
118. #17986216C22semidirect
119. #17986213C22semidirect
120. #17986213C22semidirect
121. #17986198C22semidirect
122. #17986193C22semidirect
123. #17986193C22semidirect
124. #17986193C22semidirect
125. #17986192C22semidirect
126. #17986192C22semidirect
127. #17986164C22semidirect
128. #17986161C22semidirect
129. #17986159C22semidirect
130. #17986152C22semidirect
131. #17986152C22semidirect
132. #17986152C22semidirect
133. #17986152C22semidirect
134. #17986151C22semidirect
135. #17986147C22semidirect
136. #17986145C22semidirect
137. #17986145C22semidirect
138. #17986144C22semidirect
139. #17986143C22semidirect
140. #17986143C22semidirect
141. #17986142C22semidirect
142. #17986135C22semidirect
143. #17986135C22semidirect
144. #17986135C22semidirect
145. #17986135C22semidirect
146. #17986134C22semidirect
147. #17986134C22semidirect
148. #17986134C22semidirect
150. #17986132C22semidirect
151. #17986132C22semidirect
152. #17986132C22semidirect
153. #17986132C22semidirect
154. #17986132C22semidirect
155. #17986132C22semidirect
156. #17986132C22semidirect
157. #17986131C22semidirect
158. #17986131C22semidirect
159. #17986110C22semidirect
160. #17986108C22semidirect
161. #17986108C22semidirect
162. #17986098C22semidirect
163. #17986086C22semidirect
164. #17986081C22semidirect
165. #17986079C22semidirect
166. #17986079C22semidirect
167. #17986075C22semidirect
168. #17986075C22semidirect
169. #17986068C22semidirect
170. #17986068C22semidirect
171. #17986067C22semidirect
172. #17986067C22semidirect
173. (C22⋊D71)⋊C8C22semidirect
174. (C22⋊D71)⋊C8C22semidirect
175. #17986057C22semidirect
176. #17986057C22semidirect
177. #17986005C22semidirect
178. #17986005C22semidirect
179. #17986002C22semidirect
180. #17985999C22semidirect
181. #17985994C22semidirect
182. C2×#14556048C22semidirect
183. C2×#14556048C22semidirect
184. #102×D71C22semidirect
185. #17985964C22semidirect
186. #17985964C22semidirect
187. C2×C22⋊(C71⋊C8)C22semidirect
188. #525×C71C22semidirect
189. C2×#121×C71C22semidirect
190. #483×C71C22semidirect
191. #482×C71C22semidirect
192. #482×C71C22semidirect
193. #480×C71C22semidirect
194. #469×C71C22semidirect
195. #469×C71C22semidirect
196. #468×C71C22semidirect
197. #468×C71C22semidirect
198. #450×C71C22semidirect
199. #449×C71C22semidirect
200. #449×C71C22semidirect
201. #447×C71C22semidirect
202. #407×C71C22semidirect
212. C2×#11765864C23semidirect
234. C2×D4×D71C23semidirect
240. C2×#11765855C23semidirect
245. C2×#11765853C23semidirect
246. C2×#11765852C23semidirect
261. C2×#11765850C23semidirect
263. C2×#11765848C23semidirect
264. C2×#11765848C23semidirect
267. C2×C8×D71C23semidirect
268. C2×C8×D71C23semidirect
269. #14556127C23semidirect
275. #14556124C23semidirect
279. #14556119C23semidirect
286. #14556115C23semidirect
305. #14556108C23semidirect
321. #14556103C23semidirect
344. #14556099C23semidirect
345. #14556099C23semidirect
371. #14556093C23semidirect
374. D4×Dic71C23semidirect
375. D4×Dic71C23semidirect
380. #14556090C23semidirect
392. #14556086C23semidirect
394. C4⋊C4×D71C23semidirect
403. #14556061C23semidirect
404. #14556061C23semidirect
405. #14556059C23semidirect
406. #14556059C23semidirect
407. Dic71⋊C8C23semidirect
408. Dic71⋊C8C23semidirect
409. Dic71⋊C8C23semidirect
410. Dic71⋊C8C23semidirect
411. #14556052C23semidirect
412. #14556052C23semidirect
413. #14556051C23semidirect
414. #14556051C23semidirect
423. #14556049C23semidirect
424. #14556049C23semidirect
433. #14556048C23semidirect
434. #14556048C23semidirect
439. (C2×D71)⋊C8C23semidirect
440. (C2×D71)⋊C8C23semidirect
441. (C2×D71)⋊C8C23semidirect
442. (C2×D71)⋊C8C23semidirect
443. #14556038C23semidirect
444. #14556038C23semidirect
445. C8×Dic71C23semidirect
446. C8×Dic71C23semidirect
451. C2×SD16×C71C23semidirect
452. C2×SD16×C71C23semidirect
453. C2×D8×C71C23semidirect
454. C2×D8×C71C23semidirect
474. #107×C71C23semidirect
475. #107×C71C23semidirect
476. #106×C71C23semidirect
477. #106×C71C23semidirect
478. #103×C71C23semidirect
479. #103×C71C23semidirect
480. #102×C71C23semidirect
481. #102×C71C23semidirect
482. #102×C71C23semidirect
483. #102×C71C23semidirect
484. #102×C71C23semidirect
485. #102×C71C23semidirect
1018. #3194D71semidirect
1027. C71#61609semidirect
1076. #525C2×D71semidirect
1077. C2×#121C2×D71semidirect
1091. #483C2×D71semidirect
1096. #482C2×D71semidirect
1097. #482C2×D71semidirect
1100. #480C2×D71semidirect
1108. #469C2×D71semidirect
1109. #469C2×D71semidirect
1111. #468C2×D71semidirect
1112. #468C2×D71semidirect
1141. #450C2×D71semidirect
1149. #449C2×D71semidirect
1150. #449C2×D71semidirect
1168. #447C2×D71semidirect
1197. #407C2×D71semidirect
1247. C2×SD16C22×D71semidirect
1248. C2×SD16C22×D71semidirect
1265. C2×D8C22×D71semidirect
1266. C2×D8C22×D71semidirect
1428. #107C22×D71semidirect
1429. #107C22×D71semidirect
1432. #106C22×D71semidirect
1433. #106C22×D71semidirect
1442. #103C22×D71semidirect
1443. #103C22×D71semidirect
1464. #102C22×D71semidirect
1465. #102C22×D71semidirect
1466. #102C22×D71semidirect
1467. #102C22×D71semidirect
1468. #102C22×D71semidirect
1469. #102C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226026602
#226019732
#226005772
#226005472
#226004912
#226004762
#226003592
#226002992
#226001732
#226001512
#226000182
#226000102
#225999572
#225999482
#225998872
#225998272
#225998242
#225998132
#225994322
#225993882
#225992042
#225991902
#225991282
#225985792
#225985192
#225976422
#225976052
#225975702
C2×#179861322
#225973902
C71×#31942
#6160971