Finite Group Databasebeta

← #25967632

Subgroups — #25967632

Order 11008.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148262C211yesmaximal, characteristic, complemented
2#19147926C211yesmaximal, characteristic, complemented
3#19145479C211yesmaximal, characteristic, complemented
4#19145475C211yesmaximal, characteristic, complemented
5#19145469C211yesmaximal, characteristic, complemented
6#19145467C211yesmaximal, characteristic, complemented
7#19145458C211yesmaximal, characteristic, complemented
8#19145447C211yesmaximal, characteristic, complemented
9#19145443C211yesmaximal, characteristic, complemented
10#19145435C211yesmaximal, characteristic, complemented
11#19145431C211yesmaximal, characteristic, complemented
12#19145406C211yesmaximal, characteristic, complemented
13#19145404C211yesmaximal, characteristic, complemented
14#19145386C211yesmaximal, characteristic, complemented
15#19145382C211yesmaximal, characteristic, complemented
16#19145357C211yesmaximal, characteristic, complemented
17#19145355C211yesmaximal, characteristic, complemented
18#19144587C211yesmaximal, characteristic, complemented
19#19144570C211yesmaximal, characteristic, complemented
20#19144523C211yesmaximal, characteristic, complemented
21#482×D43C211yesmaximal, characteristic, complemented
22#19144274C211yesmaximal, characteristic, complemented
23#19144272C211yesmaximal, characteristic, complemented
24#19144260C211yesmaximal, characteristic, complemented
25#19144255C211yesmaximal, characteristic, complemented
26#19143894C211yesmaximal, characteristic, complemented
27#19143894C211yesmaximal, characteristic, complemented
28#19143842C211yesmaximal, characteristic, complemented
29#19143808C211yesmaximal, characteristic, complemented
30#19143043C211yesmaximal, characteristic, complemented
31C43×#3199C211yesmaximal, characteristic, complemented
32C2×#13063370C2211yescharacteristic, complemented
33C22×#10621900C2211yescharacteristic, complemented
34C2×#41×D43C2211yescharacteristic
35C2×#13063349C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063344C2211yescharacteristic, complemented
38C2×#13063344C2211yescharacteristic, complemented
39C2×#13063333C2211yescharacteristic, complemented
40C2×#13063331C2211yescharacteristic, complemented
41#14583569—21no—
42#14583557—21no—
43#14583542—21no—
44#14583536—21no—
45#14583536—21no—
46#14583534—21no—
47#14583531—21no—
48#14583531—21no—
49#14583478C2211yescharacteristic
50#14583478C2211yescharacteristic
51#14583478C2211yescharacteristic
52#14583478C2211yescharacteristic, complemented
53#14583478C2211yescharacteristic, complemented
54#14583478C2211yescharacteristic, complemented
55#14583477C2211yescharacteristic
56#14583475C2211yescharacteristic, complemented
57#14583470C2211yescharacteristic, complemented
58#14583469—21no—
59#14583466C2211yescharacteristic, complemented
60#14583465C2211yescharacteristic
61#14583465C2211yescharacteristic, complemented
62#14583462—21no—
63#14583459—21no—
64#14583459—21no—
65#14583448—21no—
66#14583447—21no—
67#14583411C2211yescharacteristic, complemented
68#14583409C2211yescharacteristic
69#14583409C2211yescharacteristic, complemented
70#14583409C2211yescharacteristic, complemented
71#14583409C2211yescharacteristic, complemented
72#14583409C2211yescharacteristic, complemented
73#14583409C2211yescharacteristic, complemented
74#14583405—21no—
75#14583405—21no—
76C2×#13063296C2211yescharacteristic, complemented
77#121×D43C2211yescharacteristic
78#121×D43C2211yescharacteristic, complemented
79#14583379C2211yescharacteristic, complemented
80#117×D43C2211yescharacteristic, complemented
81#14583243C2211yescharacteristic, complemented
82#14583243C2211yescharacteristic, complemented
83#14583242C2211yescharacteristic, complemented
84#14583242C2211yescharacteristic, complemented
85#14583241C2211yescharacteristic, complemented
86#14583240C2211yescharacteristic, complemented
87#14583240C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583223C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583222C2211yescharacteristic, complemented
99#14583222C2211yescharacteristic, complemented
100#14583221C2211yescharacteristic, complemented
101#14583221C2211yescharacteristic, complemented
102#14583221C2211yescharacteristic, complemented
103#14583220C2211yescharacteristic, complemented
104#14583220C2211yescharacteristic, complemented
105#14583216C2211yescharacteristic, complemented
106#14583215C2211yescharacteristic, complemented
107#14583211C2211yescharacteristic, complemented
108#14583210C2211yescharacteristic, complemented
109#14583158C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583150C2211yescharacteristic, complemented
113#14583149C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic, complemented
116#14583145C2211yescharacteristic, complemented
117#14583144C2211yescharacteristic, complemented
118#14583144C2211yescharacteristic, complemented
119#14583144C2211yescharacteristic, complemented
120#14583143C2211yescharacteristic, complemented
121#14583143C2211yescharacteristic, complemented
122#14583143C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583140C2211yescharacteristic, complemented
125#14583134C2211yescharacteristic, complemented
126#14583133C2211yescharacteristic, complemented
127#14583132C2211yescharacteristic, complemented
128#14583132C2211yescharacteristic, complemented
129#14583129C2211yescharacteristic, complemented
130#14583128C2211yescharacteristic, complemented
131#14583127C2211yescharacteristic, complemented
132#14583127C2211yescharacteristic, complemented
133#14583127C2211yescharacteristic, complemented
134#14583126C2211yescharacteristic, complemented
135#14583126C2211yescharacteristic, complemented
136#14583126C2211yescharacteristic, complemented
137#14583063C2211yescharacteristic, complemented
138#14583063C2211yescharacteristic, complemented
139#14583062C2211yescharacteristic, complemented
140#14583062C2211yescharacteristic, complemented
141#14583062C2211yescharacteristic, complemented
142#14583062C2211yescharacteristic, complemented
143#14583057C2211yescharacteristic, complemented
144#14583051C2211yescharacteristic, complemented
145#14583051C2211yescharacteristic, complemented
146#14583050C2211yescharacteristic, complemented
147#14583050C2211yescharacteristic, complemented
148#14583050C2211yescharacteristic, complemented
149#14583045C2211yescharacteristic, complemented
150#14583045C2211yescharacteristic, complemented
151#14583042C2211yescharacteristic, complemented
152#14583042C2211yescharacteristic, complemented
153#14583041C2211yescharacteristic, complemented
154#14583041C2211yescharacteristic, complemented
155#14583041C2211yescharacteristic, complemented
156#14583041C2211yescharacteristic, complemented
157#14583041C2211yescharacteristic, complemented
158#14583041C2211yescharacteristic, complemented
159#14583040C2211yescharacteristic, complemented
160#14583037C2211yescharacteristic, complemented
161#14583037C2211yescharacteristic, complemented
162#14583033C2211yescharacteristic, complemented
163#14583031C2211yescharacteristic, complemented
164#14583031C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#107×D43C2211yescharacteristic, complemented
168#106×D43C2211yescharacteristic, complemented
169#14582897C2211yescharacteristic, complemented
170#14582897C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582892C2211yescharacteristic, complemented
174#14582892C2211yescharacteristic, complemented
175#102×D43C2211yescharacteristic, complemented
176#102×D43C2211yescharacteristic, complemented
177#14582866C2211yescharacteristic, complemented
178#14582864C2211yescharacteristic, complemented
179#14582864C2211yescharacteristic, complemented
180#14582864C2211yescharacteristic, complemented
181#14582864C2211yescharacteristic, complemented
182#14582862C2211yescharacteristic, complemented
183#14582861C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic, complemented
185C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic, complemented
187C22⋊C8×D43C2211yescharacteristic, complemented
188C43×#535C2211yescharacteristic
189C43×#535C2211yescharacteristic, complemented
190C43×#482C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#469C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic, complemented
198C43×#447C2211yescharacteristic, complemented
199C43×#447C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic, complemented
201C43×#447C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic, complemented
203#13063370—42no—
204#13063370—42no—
205C2×#10621902D411yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900—42no—
214C2×#10621900—42no—
215C2×#10621900D411yescharacteristic
216C2×#10621900D411yescharacteristic
217C2×#10621900D411yescharacteristic
218C2×#10621900C2311yescharacteristic
219C2×#10621900C2311yescharacteristic
220C2×#10621900C2311yescharacteristic
221C2×#10621900C2311yescharacteristic
222C2×#10621900C2311yescharacteristic
223C2×#10621900C2311yescharacteristic
224#41×D43—42no—
225#41×D43—42no—
226C22×Dic86C2311yescharacteristic
227C2×Q8×D43D411yescharacteristic
228C22×C22⋊D43—21no—
229C22×C22⋊D43—21no—
230C22×C22⋊D43—21no—
231C22×C22⋊D43—21no—
232C2×D4×D43—21no—
233C2×D4×D43—21no—
234C2×D4×D43—21no—
235C2×D4×D43D411yescharacteristic
236C2×D4×D43D411yescharacteristic
237C2×D4×D43D411yescharacteristic
238C2×D4×D43C2311yescharacteristic
239C2×D4×D43C2311yescharacteristic
240C23×Dic43—21no—
241C22×C4×D43C2311yescharacteristic
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244#13063349—42no—
245#13063349—42no—
246#13063344—42no—
247#13063344—42no—
248C2×Dic172C2311yescharacteristic
249C2×Dic172C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621883C2311yescharacteristic
257C2×#10621883C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260#13063333—42no—
261#13063331—42no—
262C2×#10621877C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C22×C43⋊C8C2311yescharacteristic
268C2×C8×D43C2311yescharacteristic
269C2×C8×D43C2311yescharacteristic
270C2×C8×D43C2311yescharacteristic
271C2×C8×D43C2311yescharacteristic
272#13063325—21no—
273#13063323—21no—
274#13063321—21no—
275#13063321—21no—
276#13063321—21no—
277#13063313—21no—
278#13063312—21no—
279#13063312—21no—
280#13063311—21no—
281#13063311—21no—
282#13063309—21no—
283#13063309—21no—
284#13063309—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063306—21no—
292#13063306—21no—
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063304C2311yescharacteristic
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063301—21no—
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063299C2311yescharacteristic
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297—21no—
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297—21no—
334#13063296—21no—
335#13063296—21no—
336#13063296—21no—
337#13063296—21no—
338#13063296—21no—
339#13063296—21no—
340#13063296—21no—
341#13063296—21no—
342#13063296—21no—
343#13063296C2311yescharacteristic
344#13063296C2311yescharacteristic
345#13063296C2311yescharacteristic
346#13063296C2311yescharacteristic
347#13063296C2311yescharacteristic
348#13063296C2311yescharacteristic
349#13063296C2311yescharacteristic
350#13063296C2311yescharacteristic
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063294—21no—
355#13063294—21no—
356#13063293—21no—
357#13063293—21no—
358#13063293—21no—
359#13063293—21no—
360#13063293—21no—
361#13063293—21no—
362#13063293—21no—
363#13063293—21no—
364C4×Dic86—21no—
365C4×D172—21no—
366C4×D172—21no—
367C4×D172—21no—
368D4×Dic43—21no—
369D4×Dic43—21no—
370D4×Dic43—21no—
371D4×Dic43—21no—
372D4×Dic43—21no—
373D4×Dic43—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382#13063284C2311yescharacteristic
383#13063283C2311yescharacteristic
384#13063283C2311yescharacteristic
385#13063283C2311yescharacteristic
386#13063283C2311yescharacteristic
387#13063282—21no—
388#13063281—21no—
389C2×C4⋊Dic43C2311yescharacteristic
390C4⋊C4×D43C2311yescharacteristic
391C4⋊C4×D43C2311yescharacteristic
392C4⋊C4×D43C2311yescharacteristic
393C4⋊C4×D43C2311yescharacteristic
394C2×C22⋊Dic43—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C42×D43—21no—
399#13063259C2311yescharacteristic
400#13063259C2311yescharacteristic
401#13063258C2311yescharacteristic
402#13063258C2311yescharacteristic
403#13063258C2311yescharacteristic
404#13063258C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063257C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409#13063256C2311yescharacteristic
410#13063256C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437C22⋊(C43⋊C8)C2311yescharacteristic
438C22⋊(C43⋊C8)C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444(C2×D43)⋊C8C2311yescharacteristic
445(C2×D43)⋊C8C2311yescharacteristic
446(C2×D43)⋊C8C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449C22×D4×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×D8×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456#127×C43—21no—
457#127×C43—21no—
458#124×C43—21no—
459#124×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466#121×C43C2311yescharacteristic
467#121×C43C2311yescharacteristic
468#120×C43—21no—
469#120×C43—21no—
470#120×C43—21no—
471#120×C43—21no—
472#117×C43C2311yescharacteristic
473#117×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475#107×C43C2311yescharacteristic
476#106×C43C2311yescharacteristic
477#106×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43C2×D411yescharacteristic
495C23×D43C2×D411yescharacteristic
496C23×D43C2×D411yescharacteristic
497#41×C43—41no—
498#41×C43—41no—
499C2×Q8×C43C2×D411yescharacteristic
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—41no—
511C2×D4×C43—41no—
512C2×D4×C43—41no—
513C2×D4×C43—41no—
514C2×D4×C43C2×D411yescharacteristic
515C2×D4×C43C2×D411yescharacteristic
516C2×D4×C43C2×D411yescharacteristic
517C2×D4×C43C2411yescharacteristic
518C2×D4×C43C2411yescharacteristic
519C2×D4×C43C2411yescharacteristic
520C2×D4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C22×C4×C43C2411yescharacteristic
523C22×C4×C43C2411yescharacteristic
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—21no—
540C2×C22⋊D43—21no—
541C2×C22⋊D43—21no—
542C2×C22⋊D43—21no—
543C2×C22⋊D43—44no—
544C2×C22⋊D43—44no—
545C2×C22⋊D43—44no—
546C2×C22⋊D43—82no—
547C2×C22⋊D43C2×D411yescharacteristic
548C2×C22⋊D43C2×D411yescharacteristic
549C2×C22⋊D43C2×D411yescharacteristic
550C2×C22⋊D43C2×D411yescharacteristic
551C2×C22⋊D43C2×D411yescharacteristic
552C2×C22⋊D43C2×D411yescharacteristic
553C22×Dic43—21no—
554C22×Dic43—21no—
555C22×Dic43—21no—
556C22×Dic43—21no—
557C22×Dic43—21no—
558C22×Dic43—21no—
559C22×Dic43—21no—
560C22×Dic43—21no—
561C22×Dic43—44no—
562C22×Dic43C2×D411yescharacteristic
563C22×Dic43C2×D411yescharacteristic
564C22×Dic43C2×D411yescharacteristic
565#10621902—42no—
566Q8×D43—42no—
567#10621900—22no—
568#10621900—22no—
569#10621900—22no—
570#10621900—22no—
571#10621900—22no—
572#10621900—22no—
573#10621900—41no—
574#10621900—41no—
575#10621900—41no—
576#10621900—41no—
577#10621900—41no—
578#10621900—41no—
579#10621900—42no—
580#10621900—42no—
581#10621900—44no—
582#10621900—42no—
583#10621900—44no—
584#10621900—44no—
585D4×D43—22no—
586D4×D43—22no—
587D4×D43—42no—
588D4×D43—42no—
589D4×D43—41no—
590D4×D43—41no—
591D4×D43—42no—
592D4×D43—44no—
593D4×D43—82no—
594D4×D43—82no—
595#10621898—22no—
596#10621898—22no—
597#10621898—22no—
598#10621898—22no—
599#10621898—41no—
600#10621898—41no—
601#10621898—41no—
602#10621898—41no—
603C2×D172—21no—
604C2×D172—21no—
605C2×D172C2×D411yescharacteristic
606C2×D172C2×D411yescharacteristic
607C2×D172C2×D411yescharacteristic
608C2×D172C2411yescharacteristic
609C2×C4×D43—22no—
610C2×C4×D43—22no—
611C2×C4×D43—21no—
612C2×C4×D43—21no—
613C2×C4×D43—21no—
614C2×C4×D43—21no—
615C2×C4×D43—21no—
616C2×C4×D43—41no—
617C2×C4×D43—41no—
618C2×C4×D43—41no—
619C2×C4×D43—41no—
620C2×C4×D43C2×D411yescharacteristic
621C2×C4×D43C2×D411yescharacteristic
622C2×C4×D43C2×D411yescharacteristic
623C2×C4×D43C2×D411yescharacteristic
624C2×C4×D43C2×D411yescharacteristic
625C2×C4×D43C2×D411yescharacteristic
626C2×C4×D43C2411yescharacteristic
627C2×C4×D43C2411yescharacteristic
628C2×C4×D43C2411yescharacteristic
629C2×C4×D43C2411yescharacteristic
630C2×Dic86—21no—
631C2×Dic86—41no—
632C2×Dic86—41no—
633C2×Dic86C2×D411yescharacteristic
634C2×Dic86C2×D411yescharacteristic
635C2×Dic86C2×D411yescharacteristic
636C2×Dic86C2411yescharacteristic
637C2×Dic86C2411yescharacteristic
638C2×Dic86C2411yescharacteristic
639D8×C43—41no—
640D8×C43—41no—
641D8×C43—41no—
642D8×C43—41no—
643M16×C43—41no—
644C2×C8×C43—41no—
645C2×C8×C43C2411yescharacteristic
646C2×C8×C43C2411yescharacteristic
647C2×C8×C43C2411yescharacteristic
648C2×C8×C43C2411yescharacteristic
649C4⋊C4×C43C2411yescharacteristic
650C4⋊C4×C43C2411yescharacteristic
651C4⋊C4×C43C2411yescharacteristic
652C4⋊C4×C43C2411yescharacteristic
653C22⋊C4×C43—21no—
654C22⋊C4×C43—21no—
655C22⋊C4×C43—21no—
656C22⋊C4×C43—21no—
657C22⋊C4×C43—21no—
658C22⋊C4×C43—21no—
659C22⋊C4×C43—21no—
660C22⋊C4×C43—21no—
661C22⋊C4×C43—21no—
662C22⋊C4×C43—21no—
663C42×C43—21no—
664C42×C43—21no—
665C22⋊Dic43—21no—
666C22⋊Dic43—21no—
667C22⋊Dic43—21no—
668C22⋊Dic43—21no—
669C22⋊Dic43—21no—
670C22⋊Dic43—21no—
671C22⋊Dic43—21no—
672C22⋊Dic43—21no—
673C22⋊Dic43—21no—
674C22⋊Dic43—21no—
675C22⋊Dic43—21no—
676C22⋊Dic43—21no—
677C22⋊Dic43—21no—
678C22⋊Dic43—21no—
679C22⋊Dic43—21no—
680#10621883—41no—
681#10621883—41no—
682#10621883—41no—
683#10621883—41no—
684#10621883—41no—
685#10621883—41no—
686#10621882—41no—
687#10621882—41no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4—21no—
690(C2×D43)⋊C4—21no—
691(C2×D43)⋊C4—21no—
692(C2×D43)⋊C4—21no—
693(C2×D43)⋊C4—21no—
694(C2×D43)⋊C4—21no—
695(C2×D43)⋊C4—21no—
696(C2×D43)⋊C4—21no—
697(C2×D43)⋊C4—21no—
698(C2×D43)⋊C4—21no—
699(C2×D43)⋊C4—21no—
700(C2×D43)⋊C4—21no—
701(C2×D43)⋊C4—21no—
702C4⋊Dic43—21no—
703C4⋊Dic43—21no—
704C4⋊Dic43—21no—
705C4⋊Dic43—21no—
706C4⋊Dic43—21no—
707C4⋊Dic43—21no—
708C4⋊Dic43—21no—
709C4⋊Dic43C2411yescharacteristic
710C4⋊Dic43C2411yescharacteristic
711C4⋊Dic43C2411yescharacteristic
712C4⋊Dic43C2411yescharacteristic
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4—21no—
716Dic43⋊C4—21no—
717Dic43⋊C4—21no—
718Dic43⋊C4—21no—
719Dic43⋊C4—21no—
720Dic43⋊C4—21no—
721Dic43⋊C4—21no—
722Dic43⋊C4—21no—
723C4×Dic43—21no—
724C4×Dic43—21no—
725C4×Dic43—21no—
726C4×Dic43—21no—
727C4×Dic43—21no—
728#10621877—41no—
729C2×C43⋊C8—41no—
730C2×C43⋊C8C2411yescharacteristic
731C2×C43⋊C8C2411yescharacteristic
732C2×C43⋊C8C2411yescharacteristic
733C2×C43⋊C8C2411yescharacteristic
734Dic172—41no—
735Dic172—41no—
736#10621873—41no—
737#10621873—41no—
738#10621872—22no—
739#10621872—22no—
740#10621872—41no—
741#10621872—41no—
742C8×D43—22no—
743C8×D43—22no—
744C8×D43—41no—
745C8×D43—41no—
746C23×C43—21no—
747C23×C43—21no—
748C23×C43—21no—
749C23×C43—21no—
750C23×C43—42no—
751C23×C43—42no—
752C23×C43—81no—
753C23×C43—81no—
754C23×C43—81no—
755C23×C43—81no—
756C23×C43C22×D411yescharacteristic
757C23×C43C22×D411yescharacteristic
758C23×C43C22×D411yescharacteristic
759C22×D43—22no—
760C22×D43—21no—
761C22×D43—41no—
762C22×D43—41no—
763C22×D43—41no—
764C22×D43—41no—
765C22×D43—41no—
766C22×D43—41no—
767C22×D43—41no—
768C22×D43—41no—
769C22×D43—42no—
770C22×D43—42no—
771C22×D43—81no—
772C22×D43—81no—
773C22×D43—81no—
774C22×D43—81no—
775C22×D43C22×D411yescharacteristic
776C22×D43C22×D411yescharacteristic
777C22×D43C22×D411yescharacteristic
778C22×D43C22×D411yescharacteristic
779Q8×C43—41no—
780D4×C43—21no—
781D4×C43—21no—
782D4×C43—21no—
783D4×C43—21no—
784D4×C43—21no—
785D4×C43—21no—
786D4×C43—21no—
787D4×C43—21no—
788D4×C43—41no—
789D4×C43—41no—
790D4×C43—41no—
791D4×C43—42no—
792D4×C43—42no—
793D4×C43—81no—
794D4×C43—81no—
795D4×C43—81no—
796D4×C43—81no—
797D4×C43—81no—
798D4×C43—81no—
799D4×C43—81no—
800D4×C43—81no—
801C2×C4×C43—21no—
802C2×C4×C43—21no—
803C2×C4×C43—21no—
804C2×C4×C43—21no—
805C2×C4×C43—21no—
806C2×C4×C43—21no—
807C2×C4×C43—21no—
808C2×C4×C43—21no—
809C2×C4×C43—21no—
810C2×C4×C43—21no—
811C2×C4×C43C22×D411yescharacteristic
812C2×C4×C43C22×D411yescharacteristic
813C2×C4×C43C22×D411yescharacteristic
814C2×C4×C43C2511yescharacteristic
815C22⋊D43—22no—
816C22⋊D43—22no—
817C22⋊D43—22no—
818C22⋊D43—22no—
819C22⋊D43—41no—
820C22⋊D43—41no—
821C22⋊D43—42no—
822C22⋊D43—42no—
823C22⋊D43—42no—
824C22⋊D43—42no—
825C22⋊D43—42no—
826C22⋊D43—42no—
827C22⋊D43—42no—
828C22⋊D43—42no—
829C22⋊D43—42no—
830C22⋊D43—42no—
831C22⋊D43—42no—
832C22⋊D43—81no—
833C22⋊D43—81no—
834C22⋊D43—81no—
835C22⋊D43—81no—
836C22⋊D43—81no—
837C22⋊D43—81no—
838C22⋊D43—81no—
839C22⋊D43—81no—
840C2×Dic43—22no—
841C2×Dic43—21no—
842C2×Dic43—21no—
843C2×Dic43—21no—
844C2×Dic43—21no—
845C2×Dic43—21no—
846C2×Dic43—21no—
847C2×Dic43—21no—
848C2×Dic43—41no—
849C2×Dic43—41no—
850C2×Dic43—42no—
851C2×Dic43—42no—
852C2×Dic43—42no—
853C2×Dic43—42no—
854C2×Dic43—42no—
855C2×Dic43—42no—
856C2×Dic43—42no—
857C2×Dic43—81no—
858C2×Dic43C22×D411yescharacteristic
859C2×Dic43C22×D411yescharacteristic
860C2×Dic43C22×D411yescharacteristic
861C2×Dic43C22×D411yescharacteristic
862D172—22no—
863D172—22no—
864D172—21no—
865D172—21no—
866D172—41no—
867D172—42no—
868D172—81no—
869C4×D43—22no—
870C4×D43—21no—
871C4×D43—21no—
872C4×D43—21no—
873C4×D43—21no—
874C4×D43—21no—
875C4×D43—21no—
876C4×D43—22no—
877C4×D43—41no—
878C4×D43—41no—
879C4×D43—41no—
880C4×D43—41no—
881C4×D43—42no—
882C4×D43—81no—
883C4×D43—81no—
884C4×D43—81no—
885C4×D43—81no—
886C4×D43H(5,𝔽2)12yes—
887C4×D43H(5,𝔽2)12yes—
888Dic86—22no—
889Dic86—22no—
890Dic86—21no—
891Dic86—21no—
892Dic86—21no—
893Dic86—21no—
894Dic86—21no—
895Dic86—21no—
896Dic86—41no—
897Dic86—42no—
898C8×C43—21no—
899C8×C43—21no—
900C8×C43—21no—
901C8×C43—21no—
902C43⋊C8—21no—
903C43⋊C8—21no—
904C43⋊C8—21no—
905C43⋊C8—21no—
906#60767—431nomaximal, Sylow
907C22×C43—21no—
908C22×C43—21no—
909C22×C43—21no—
910C22×C43—21no—
911C22×C43—21no—
912C22×C43—21no—
913C22×C43—21no—
914C22×C43—21no—
915C22×C43—21no—
916C22×C43—41no—
917C22×C43—41no—
918C22×C43—41no—
919C22×C43—41no—
920C22×C43—41no—
921C22×C43—41no—
922C22×C43—41no—
923C22×C43—41no—
924C22×C43—41no—
925C22×C43—41no—
926C22×C43—41no—
927C22×C43—41no—
928C22×C43—84no—
929C22×C43—162no—
930C22×C43C23×D411yescharacteristic
931C2×D43—21no—
932C2×D43—21no—
933C2×D43—21no—
934C2×D43—21no—
935C2×D43—21no—
936C2×D43—21no—
937C2×D43—21no—
938C2×D43—21no—
939C2×D43—21no—
940C2×D43—21no—
941C2×D43—21no—
942C2×D43—41no—
943C2×D43—41no—
944C2×D43—41no—
945C2×D43—82no—
946C2×D43—82no—
947C2×D43—82no—
948C2×D43—162no—
949C2×D43—162no—
950C2×D43#53412yes—
951C4×C43—21no—
952C4×C43—21no—
953C4×C43—21no—
954C4×C43—41no—
955C4×C43—41no—
956C4×C43—41no—
957C4×C43—41no—
958C4×C43C2×H(5,𝔽2)11yescharacteristic
959C4×C43C2×H(5,𝔽2)11yescharacteristic
960Dic43—21no—
961Dic43—21no—
962Dic43—21no—
963Dic43—41no—
964Dic43—41no—
965Dic43—41no—
966Dic43—41no—
967Dic43—41no—
968Dic43—41no—
969Dic43—41no—
970Dic43#53412yes—
971#3488—431no—
972#3449—431no—
973#3201—431no—
974#3201—431no—
975#3200—431no—
976#3200—431no—
977#3199—431no—
978#3199D4311yescharacteristic, complemented
979#3198—431no—
980#3198—431no—
981#3197—431no—
982#3197—431no—
983#3194—431no—
984#3194—431no—
985#3191—431no—
986#3191—431no—
987#3188—431no—
988#3188—431no—
989#3099—431no—
990#3098—431no—
991#3093—431no—
992C2×#482—431no—
993#3062—431no—
994#3062—431no—
995#3061—431no—
996#3060—431no—
997#3012—431no—
998#3012—431no—
999#3006—431no—
1000#3002—431no—
1001#2880—431no—
1002C2×C43—41no—
1003C2×C43—41no—
1004C2×C43—41no—
1005C2×C43—81no—
1006C2×C43—81no—
1007C2×C43—81no—
1008C2×C43—81no—
1009C2×C43C2×#53411yescharacteristic
1010C2×C43#358411yescharacteristic
1011C2×C43#358511yescharacteristic
1012D43—22no—
1013D43—41no—
1014D43—41no—
1015D43—41no—
1016D43—81no—
1017C2×H(5,𝔽2)—431no—
1018C22×#41—431no—
1019C22×#41—431no—
1020C2×AGL(1,ℤ/8)—431no—
1021C2×AGL(1,ℤ/8)—431no—
1022C2×#135—431no—
1023C2×#135—431no—
1024C2×#131—431no—
1025C2×#131—431no—
1026#550—861no—
1027#548—861no—
1028#546—861no—
1029#546—861no—
1030#546—861no—
1031D42—861no—
1032D42—861no—
1033D42—861no—
1034#537—431no—
1035#537—431no—
1036#537—431no—
1037#537—431no—
1038#537—431no—
1039#537—431no—
1040#537—431no—
1041#536—431no—
1042#536—431no—
1043#536—861no—
1044#535—431no—
1045#535—431no—
1046#535—431no—
1047#535—861no—
1048#535C2×D4311yescharacteristic
1049#535C2×D4311yescharacteristic, complemented
1050#534—861no—
1051#534—861no—
1052#532—861no—
1053#532—861no—
1054#525—431no—
1055#525—431no—
1056#525—431no—
1057#525—431no—
1058#525—431no—
1059#525—431no—
1060#525—431no—
1061#525—861no—
1062#525—861no—
1063C2×#121—431no—
1064C2×#121—431no—
1065C2×#121—431no—
1066#520—431no—
1067C2×#117—431no—
1068#485—431no—
1069#485—431no—
1070#485—431no—
1071#485—431no—
1072#485—431no—
1073#485—431no—
1074#485—431no—
1075#485—431no—
1076#484—431no—
1077#484—431no—
1078#483—431no—
1079#483—431no—
1080#482—431no—
1081#482—431no—
1082#482—431no—
1083#482—431no—
1084#482—431no—
1085#482—431no—
1086#482—431no—
1087#482—431no—
1088#482—431no—
1089#482—431no—
1090#482—431no—
1091#482—431no—
1092#482C2×D4311yescharacteristic, complemented
1093#482C2×D4311yescharacteristic, complemented
1094#482C2×D4311yescharacteristic, complemented
1095#482C2×D4311yescharacteristic, complemented
1096#481—431no—
1097#481—431no—
1098#480—431no—
1099#480—431no—
1100#470—431no—
1101#470—431no—
1102#469—431no—
1103#469—431no—
1104#469—431no—
1105#469—431no—
1106#469C2×D4311yescharacteristic, complemented
1107#469C2×D4311yescharacteristic, complemented
1108#468—431no—
1109#468—431no—
1110#468—431no—
1111#468—431no—
1112#468—431no—
1113#468—431no—
1114#468—431no—
1115#468—431no—
1116#467—431no—
1117#467—431no—
1118#466—431no—
1119#466—431no—
1120#466—431no—
1121#466—431no—
1122#466C2×D4311yescharacteristic, complemented
1123#466C2×D4311yescharacteristic, complemented
1124#465—431no—
1125#465—431no—
1126#465—431no—
1127#465—431no—
1128#465—431no—
1129#465—431no—
1130#465—431no—
1131#465—431no—
1132#452—431no—
1133#452—431no—
1134#452—431no—
1135#452—431no—
1136#452—431no—
1137#452—431no—
1138#451—431no—
1139#450—431no—
1140#450—431no—
1141#450—431no—
1142#450—431no—
1143#450—431no—
1144#449—431no—
1145#449—431no—
1146#449—431no—
1147#449—431no—
1148#449—431no—
1149#449—431no—
1150#449—431no—
1151#449—431no—
1152#449—431no—
1153#449—431no—
1154#448—431no—
1155#448—431no—
1156#448—431no—
1157#447—431no—
1158#447—431no—
1159#447—431no—
1160#447C2×D4311yescharacteristic, complemented
1161#447C2×D4311yescharacteristic, complemented
1162#447C2×D4311yescharacteristic, complemented
1163#447C2×D4311yescharacteristic, complemented
1164#428—431no—
1165#428—431no—
1166C2×#107—431no—
1167C2×#106—431no—
1168#417—431no—
1169#417—431no—
1170#417—431no—
1171#417—431no—
1172#416—431no—
1173#416—431no—
1174C2×#102—431no—
1175C2×#102—431no—
1176#408—431no—
1177#408—431no—
1178#408—431no—
1179#408—431no—
1180#408—431no—
1181#408C2×D4311yescharacteristic, complemented
1182#407—431no—
1183#407—431no—
1184#407—431no—
1185C2×C22⋊C8—431no—
1186C2×C22⋊C8—431no—
1187C2×C22⋊C8—431no—
1188C43#6076711yescharacteristic, complemented, Sylow
1189H(5,𝔽2)—1722no—
1190H(5,𝔽2)—1722no—
1191C2×#41—431no—
1192C2×#41—431no—
1193C2×#41—431no—
1194C2×#41—431no—
1195C2×#41—431no—
1196C2×#41—431no—
1197C2×#41—431no—
1198C2×#41—431no—
1199C2×#41—431no—
1200C2×#41—431no—
1201C2×#41—431no—
1202C2×#41—431no—
1203C2×#41—431no—
1204C2×#41—431no—
1205C2×#41—861no—
1206C2×#41—861no—
1207C2×#41—861no—
1208C2×#41—1722no—
1209C2×#41—1722no—
1210C2×#41—1722no—
1211C2×#41—1722no—
1212C2×#41C22×D4311yescharacteristic
1213C22×Q8—431no—
1214C22×Q8—431no—
1215C22×D4—431no—
1216C22×D4—431no—
1217C22×D4—431no—
1218C22×D4—431no—
1219C22×D4—431no—
1220C22×D4—861no—
1221C22×D4—861no—
1222C22×D4—861no—
1223C22×D4—861no—
1224C22×D4—861no—
1225C22×D4—861no—
1226C22×D4—861no—
1227C22×D4C22×D4311yescharacteristic
1228C22×D4C22×D4311yescharacteristic
1229C23×C4—431no—
1230C23×C4—431no—
1231C23×C4—431no—
1232C23×C4—861no—
1233AGL(1,ℤ/8)—1722no—
1234AGL(1,ℤ/8)—1722no—
1235#135—1722no—
1236#135—1722no—
1237C2×Q16—431no—
1238C2×Q16—431no—
1239C2×SD16—431no—
1240C2×SD16—431no—
1241C2×SD16—431no—
1242C2×SD16—431no—
1243C2×SD16—431no—
1244C2×SD16—431no—
1245C2×SD16—431no—
1246C2×SD16—431no—
1247C2×D8—431no—
1248C2×D8—431no—
1249C2×D8C22×D4311yescharacteristic
1250C2×D8C22×D4311yescharacteristic
1251C2×D8C22×D4311yescharacteristic
1252C2×D8C22×D4311yescharacteristic
1253#131—1722no—
1254#131—1722no—
1255C2×M16—431no—
1256C2×M16—431no—
1257C2×M16—431no—
1258C2×M16—431no—
1259C2×M16—431no—
1260C2×M16C22×D4311yescharacteristic
1261C22×C8—431no—
1262C22×C8—431no—
1263C22×C8—431no—
1264C22×C8—431no—
1265C22×C8—431no—
1266C22×C8C22×D4311yescharacteristic
1267C4⋊Q8—861no—
1268C4⋊Q8—861no—
1269#127—21no—
1270#127—21no—
1271#127—861no—
1272#127—861no—
1273#127—861no—
1274#124—21no—
1275#124—21no—
1276#124—861no—
1277#124—861no—
1278#124—861no—
1279#124—861no—
1280#124—861no—
1281#123—861no—
1282#123—861no—
1283#123—861no—
1284#123—861no—
1285#123—861no—
1286#123—861no—
1287#123—861no—
1288#123—861no—
1289#123—861no—
1290#123—861no—
1291#123—861no—
1292C22⋊Q8—431no—
1293C22⋊Q8—431no—
1294C22⋊Q8—431no—
1295C22⋊Q8—431no—
1296C22⋊Q8—431no—
1297C22⋊Q8—431no—
1298C22⋊Q8—431no—
1299C22⋊Q8—431no—
1300C22⋊Q8—431no—
1301C22⋊Q8—431no—
1302C22⋊Q8—431no—
1303C22⋊Q8—431no—
1304C22⋊Q8—861no—
1305C22⋊Q8—861no—
1306C22⋊Q8—861no—
1307C22⋊Q8—861no—
1308C22⋊Q8—861no—
1309C22⋊Q8—861no—
1310C22⋊Q8—861no—
1311#121—431no—
1312#121—431no—
1313#121—431no—
1314#121—431no—
1315#121—431no—
1316#121—431no—
1317#121—431no—
1318#121—431no—
1319#121—431no—
1320#121—431no—
1321#121—431no—
1322#121—431no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121—861no—
1334#121—861no—
1335#121—861no—
1336#121—861no—
1337#121—861no—
1338#121—861no—
1339#121—861no—
1340#121—861no—
1341#121—861no—
1342#121—861no—
1343#121—861no—
1344#121—861no—
1345#121—861no—
1346#121—861no—
1347#121—861no—
1348#121—861no—
1349#121—861no—
1350#121C22×D4311yescharacteristic
1351#121C22×D4311yescharacteristic
1352#121C22×D4311yescharacteristic
1353#121C22×D4311yescharacteristic
1354#121C22×D4311yescharacteristic
1355#121C22×D4311yescharacteristic
1356#121C22×D4311yescharacteristic
1357#121C22×D4311yescharacteristic
1358#120—21no—
1359#120—21no—
1360#120—21no—
1361#120—21no—
1362#120—861no—
1363#120—861no—
1364#120—861no—
1365#120—861no—
1366#120—861no—
1367#120—861no—
1368#120—861no—
1369#120—861no—
1370#120—861no—
1371#120—861no—
1372#120—861no—
1373#120—861no—
1374#120—861no—
1375C4×Q8—861no—
1376C4×D4—861no—
1377C4×D4—861no—
1378C4×D4—861no—
1379C4×D4—861no—
1380C4×D4—861no—
1381C4×D4—861no—
1382C4×D4—861no—
1383C4×D4—861no—
1384C4×D4—861no—
1385C4×D4—861no—
1386C4×D4—861no—
1387C4×D4—861no—
1388C4×D4—861no—
1389C4×D4—861no—
1390C4×D4—861no—
1391C4×D4—861no—
1392C4×D4—861no—
1393#117—431no—
1394#117—431no—
1395#117—431no—
1396#117—431no—
1397#117—431no—
1398#117—861no—
1399#117—861no—
1400#117C22×D4311yescharacteristic
1401#117C22×D4311yescharacteristic
1402C2×C4⋊C4—431no—
1403C2×C4⋊C4—431no—
1404C2×C4⋊C4—431no—
1405C2×C4⋊C4—431no—
1406C2×C4⋊C4—431no—
1407C2×C22⋊C4—861no—
1408C2×C22⋊C4—861no—
1409C2×C22⋊C4—861no—
1410C2×C22⋊C4—861no—
1411C2×C42—861no—
1412#107—431no—
1413#107—431no—
1414#107—431no—
1415#107—431no—
1416#107—431no—
1417#107—431no—
1418#107C22×D4311yescharacteristic
1419#107C22×D4311yescharacteristic
1420#106—431no—
1421#106—431no—
1422#106—431no—
1423#106—431no—
1424#106—431no—
1425#106—431no—
1426#106C22×D4311yescharacteristic
1427#106C22×D4311yescharacteristic
1428#103—431no—
1429#103—431no—
1430#103—431no—
1431#103—431no—
1432#103—431no—
1433#103—431no—
1434#103—431no—
1435#103—431no—
1436#103—431no—
1437#103—431no—
1438#103—431no—
1439#103—431no—
1440#102—431no—
1441#102—431no—
1442#102—431no—
1443#102—431no—
1444#102—431no—
1445#102—431no—
1446#102—431no—
1447#102—431no—
1448#102—431no—
1449#102—431no—
1450#102—431no—
1451#102—431no—
1452#102C22×D4311yescharacteristic
1453#102C22×D4311yescharacteristic
1454#102C22×D4311yescharacteristic
1455#102C22×D4311yescharacteristic
1456#102C22×D4311yescharacteristic
1457#102C22×D4311yescharacteristic
1458#102C22×D4311yescharacteristic
1459#102C22×D4311yescharacteristic
1460C22⋊C8—431no—
1461C22⋊C8—431no—
1462C22⋊C8—431no—
1463C22⋊C8—431no—
1464C22⋊C8—431no—
1465C22⋊C8—431no—
1466C22⋊C8—431no—
1467C22⋊C8—431no—
1468C22⋊C8—431no—
1469C22⋊C8—431no—
1470C22⋊C8—431no—
1471C22⋊C8—431no—
1472C22⋊C8C22×D4311yescharacteristic
1473C22⋊C8C22×D4311yescharacteristic
1474C22⋊C8C22×D4311yescharacteristic
1475C22⋊C8C22×D4311yescharacteristic
1476C24—21no—
1477C24—21no—
1478C24—431no—
1479C24—431no—
1480C24—431no—
1481C24—861no—
1482C24—861no—
1483#41—41no—
1484#41—41no—
1485#41—862no—
1486#41—862no—
1487#41—862no—
1488#41—862no—
1489#41—862no—
1490#41—862no—
1491#41—862no—
1492#41—862no—
1493#41—862no—
1494#41—862no—
1495#41—1721no—
1496#41—1721no—
1497#41—1721no—
1498#41—1721no—
1499#41—1721no—
1500#41—1721no—
1501#41—1721no—
1502#41—1721no—
1503#41—1721no—
1504#41—1721no—
1505#41—1722no—
1506#41—1722no—
1507#41—1722no—
1508#41—1724no—
1509#41—1724no—
1510#41—1722no—
1511#41—1724no—
1512C2×Q8—431no—
1513C2×Q8—431no—
1514C2×Q8—431no—
1515C2×Q8—431no—
1516C2×Q8—431no—
1517C2×Q8—431no—
1518C2×Q8—861no—
1519C2×Q8—1721no—
1520C2×Q8—1721no—
1521C2×Q8—1722no—
1522C2×Q8D4×D4311yescharacteristic
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—431no—
1538C2×D4—431no—
1539C2×D4—431no—
1540C2×D4—431no—
1541C2×D4—431no—
1542C2×D4—431no—
1543C2×D4—431no—
1544C2×D4—431no—
1545C2×D4—431no—
1546C2×D4—431no—
1547C2×D4—861no—
1548C2×D4—861no—
1549C2×D4—862no—
1550C2×D4—862no—
1551C2×D4—861no—
1552C2×D4—861no—
1553C2×D4—861no—
1554C2×D4—861no—
1555C2×D4—861no—
1556C2×D4—861no—
1557C2×D4—861no—
1558C2×D4—861no—
1559C2×D4—861no—
1560C2×D4—861no—
1561C2×D4—861no—
1562C2×D4—861no—
1563C2×D4—861no—
1564C2×D4—861no—
1565C2×D4—861no—
1566C2×D4—861no—
1567C2×D4—861no—
1568C2×D4—861no—
1569C2×D4—861no—
1570C2×D4—3442no—
1571C2×D4—3442no—
1572C2×D4—3442no—
1573C2×D4—1721no—
1574C2×D4—1721no—
1575C2×D4—1722no—
1576C2×D4—1722no—
1577C2×D4—1722no—
1578C2×D4—1724no—
1579C2×D4—1724no—
1580C2×D4—1724no—
1581C2×D4—1724no—
1582C2×D4D4×D4311yescharacteristic
1583C2×D4D4×D4311yescharacteristic
1584C2×D4D4×D4311yescharacteristic
1585C2×D4C23×D4311yescharacteristic
1586C2×D4C23×D4311yescharacteristic
1587C2×D4C23×D4311yescharacteristic
1588C2×D4C23×D4311yescharacteristic
1589C22×C4—431no—
1590C22×C4—431no—
1591C22×C4—431no—
1592C22×C4—431no—
1593C22×C4—431no—
1594C22×C4—431no—
1595C22×C4—431no—
1596C22×C4—431no—
1597C22×C4—431no—
1598C22×C4—431no—
1599C22×C4—431no—
1600C22×C4—431no—
1601C22×C4—431no—
1602C22×C4—862no—
1603C22×C4—862no—
1604C22×C4—861no—
1605C22×C4—861no—
1606C22×C4—861no—
1607C22×C4—861no—
1608C22×C4—861no—
1609C22×C4—861no—
1610C22×C4—861no—
1611C22×C4—861no—
1612C22×C4—861no—
1613C22×C4—861no—
1614C22×C4—861no—
1615C22×C4—861no—
1616C22×C4—861no—
1617C22×C4—1721no—
1618C22×C4—1721no—
1619C22×C4—1721no—
1620C22×C4—1721no—
1621C22×C4—1724no—
1622C22×C4C23×D4311yescharacteristic
1623C22×C4C23×D4311yescharacteristic
1624C22×C4C23×D4311yescharacteristic
1625Q16—1721no—
1626Q16—1721no—
1627SD16—1721no—
1628SD16—1721no—
1629SD16—1721no—
1630SD16—1721no—
1631SD16—1721no—
1632SD16—1721no—
1633SD16—1721no—
1634SD16—1721no—
1635D8—41no—
1636D8—41no—
1637D8—41no—
1638D8—41no—
1639D8—1721no—
1640D8—1721no—
1641M16—41no—
1642M16—862no—
1643M16—862no—
1644M16—1721no—
1645M16—1721no—
1646M16—1721no—
1647C2×C8—41no—
1648C2×C8—431no—
1649C2×C8—431no—
1650C2×C8—431no—
1651C2×C8—431no—
1652C2×C8—862no—
1653C2×C8—862no—
1654C2×C8—1721no—
1655C2×C8—1721no—
1656C2×C8—1721no—
1657C2×C8C23×D4311yescharacteristic
1658C2×C8C23×D4311yescharacteristic
1659C2×C8C23×D4311yescharacteristic
1660C2×C8C23×D4311yescharacteristic
1661C4⋊C4—431no—
1662C4⋊C4—431no—
1663C4⋊C4—431no—
1664C4⋊C4—431no—
1665C4⋊C4—861no—
1666C4⋊C4—861no—
1667C4⋊C4—861no—
1668C4⋊C4—861no—
1669C4⋊C4—861no—
1670C4⋊C4—861no—
1671C4⋊C4—861no—
1672C4⋊C4—861no—
1673C4⋊C4—861no—
1674C4⋊C4—861no—
1675C4⋊C4—861no—
1676C4⋊C4—861no—
1677C4⋊C4—861no—
1678C4⋊C4—861no—
1679C4⋊C4—861no—
1680C4⋊C4—861no—
1681C4⋊C4—861no—
1682C4⋊C4C23×D4311yescharacteristic
1683C4⋊C4C23×D4311yescharacteristic
1684C4⋊C4C23×D4311yescharacteristic
1685C4⋊C4C23×D4311yescharacteristic
1686C22⋊C4—21no—
1687C22⋊C4—21no—
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—861no—
1697C22⋊C4—861no—
1698C22⋊C4—861no—
1699C22⋊C4—861no—
1700C22⋊C4—861no—
1701C22⋊C4—861no—
1702C22⋊C4—861no—
1703C22⋊C4—861no—
1704C22⋊C4—861no—
1705C22⋊C4—861no—
1706C22⋊C4—861no—
1707C22⋊C4—861no—
1708C22⋊C4—861no—
1709C22⋊C4—861no—
1710C22⋊C4—861no—
1711C22⋊C4—861no—
1712C22⋊C4—861no—
1713C22⋊C4—861no—
1714C22⋊C4—861no—
1715C22⋊C4—861no—
1716C22⋊C4—861no—
1717C22⋊C4—861no—
1718C22⋊C4—861no—
1719C22⋊C4—861no—
1720C22⋊C4—861no—
1721C22⋊C4—861no—
1722C22⋊C4—861no—
1723C22⋊C4—861no—
1724C22⋊C4—861no—
1725C42—21no—
1726C42—21no—
1727C42—861no—
1728C42—861no—
1729C42—861no—
1730C42—861no—
1731C42—861no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—21no—
1736C23—42no—
1737C23—42no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—431no—
1743C23—431no—
1744C23—431no—
1745C23—431no—
1746C23—862no—
1747C23—861no—
1748C23—3441no—
1749C23—3441no—
1750C23—3441no—
1751C23—3441no—
1752C23—1721no—
1753C23—1721no—
1754C23—1721no—
1755C23—1721no—
1756C23—1721no—
1757C23—1721no—
1758C23—1721no—
1759C23—1721no—
1760C23—1722no—
1761C23—1722no—
1762C23C2×D4×D4311yescharacteristic
1763C23C2×D4×D4311yescharacteristic
1764C23C2×D4×D4311yescharacteristic
1765Q8—41no—
1766Q8—862no—
1767Q8—862no—
1768Q8—861no—
1769Q8—861no—
1770Q8—861no—
1771Q8—861no—
1772Q8—861no—
1773Q8—861no—
1774Q8—1721no—
1775Q8—1722no—
1776D4—21no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—21no—
1781D4—21no—
1782D4—21no—
1783D4—21no—
1784D4—41no—
1785D4—41no—
1786D4—41no—
1787D4—42no—
1788D4—42no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—862no—
1798D4—862no—
1799D4—862no—
1800D4—862no—
1801D4—862no—
1802D4—862no—
1803D4—861no—
1804D4—861no—
1805D4—3441no—
1806D4—3441no—
1807D4—3441no—
1808D4—3441no—
1809D4—3441no—
1810D4—3441no—
1811D4—3441no—
1812D4—3441no—
1813D4—3441no—
1814D4—1721no—
1815D4—1722no—
1816D4—1722no—
1817D4—1721no—
1818D4—1721no—
1819D4—1722no—
1820D4—1722no—
1821D4—1722no—
1822D4—1722no—
1823D4—1722no—
1824D4—1722no—
1825D4—1722no—
1826D4—1722no—
1827D4—1722no—
1828D4—1722no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—431no—
1840C2×C4—432no—
1841C2×C4—432no—
1842C2×C4—431no—
1843C2×C4—431no—
1844C2×C4—431no—
1845C2×C4—862no—
1846C2×C4—862no—
1847C2×C4—862no—
1848C2×C4—861no—
1849C2×C4—861no—
1850C2×C4—861no—
1851C2×C4—861no—
1852C2×C4—861no—
1853C2×C4—861no—
1854C2×C4—861no—
1855C2×C4—861no—
1856C2×C4—861no—
1857C2×C4—861no—
1858C2×C4—861no—
1859C2×C4—861no—
1860C2×C4—861no—
1861C2×C4—3441no—
1862C2×C4—3441no—
1863C2×C4—3441no—
1864C2×C4—3441no—
1865C2×C4—3441no—
1866C2×C4—1721no—
1867C2×C4—1721no—
1868C2×C4—1721no—
1869C2×C4—1721no—
1870C2×C4—1722no—
1871C2×C4—1722no—
1872C2×C4—1722no—
1873C2×C4—1722no—
1874C2×C4—1721no—
1875C2×C4—1721no—
1876C2×C4—1722no—
1877C2×C4—1722no—
1878C2×C4—1722no—
1879C2×C4—1722no—
1880C2×C4C2×D4×D4311yescharacteristic
1881C2×C4C2×D4×D4311yescharacteristic
1882C2×C4C2×D4×D4311yescharacteristic
1883C2×C4C24×D4311yescharacteristic
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—21no—
1888C8—861no—
1889C8—861no—
1890C8—861no—
1891C8—861no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—21no—
1896C22—21no—
1897C22—21no—
1898C22—21no—
1899C22—21no—
1900C22—21no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—84no—
1914C22—162no—
1915C22—432no—
1916C22—861no—
1917C22—861no—
1918C22—861no—
1919C22—861no—
1920C22—861no—
1921C22—861no—
1922C22—861no—
1923C22—861no—
1924C22—861no—
1925C22—861no—
1926C22—861no—
1927C22—3442no—
1928C22—3442no—
1929C22—3442no—
1930C22—1721no—
1931C22—1721no—
1932C22—1721no—
1933C22—6882no—
1934C22—6882no—
1935C22C22×D4×D4311yescharacteristic
1936C4—21no—
1937C4—21no—
1938C4—21no—
1939C4—41no—
1940C4—41no—
1941C4—41no—
1942C4—41no—
1943C4—432no—
1944C4—861no—
1945C4—861no—
1946C4—861no—
1947C4—1721no—
1948C4—1721no—
1949C4—1721no—
1950C4—1721no—
1951C4—1721no—
1952C4—1721no—
1953C4—1721no—
1954C4H(5,𝔽2)×D4311yescharacteristic
1955C4H(5,𝔽2)×D4311yescharacteristic
1956C2—41no—
1957C2—41no—
1958C2—41no—
1959C2—81no—
1960C2—81no—
1961C2—81no—
1962C2—81no—
1963C2—862no—
1964C2—3441no—
1965C2—1721no—
1966C2—1721no—
1967C2—1721no—
1968C2#534×D4311yescharacteristic
1969C2#1914936311yescharacteristic
1970C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3199C2
socleC22×C43C23×D4
hypercenter#3199D43
hypocenterC43#60767
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3199

Complements

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

NH ≅ G/Ntype
1. #19148262C2semidirect
2. #19147926C2semidirect
3. #19145479C2semidirect
4. #19145475C2semidirect
5. #19145469C2semidirect
6. #19145467C2semidirect
7. #19145458C2semidirect
8. #19145447C2semidirect
9. #19145443C2semidirect
10. #19145435C2semidirect
11. #19145431C2semidirect
12. #19145406C2semidirect
13. #19145404C2semidirect
14. #19145386C2semidirect
15. #19145382C2semidirect
16. #19145357C2semidirect
17. #19145355C2semidirect
18. #19144587C2semidirect
19. #19144570C2semidirect
20. #19144523C2semidirect
21. #482×D43C2semidirect
22. #19144274C2semidirect
23. #19144272C2semidirect
24. #19144260C2semidirect
25. #19144255C2semidirect
26. #19143894C2semidirect
27. #19143894C2semidirect
28. #19143842C2semidirect
29. #19143808C2semidirect
30. #19143043C2semidirect
31. C43×#3199C2semidirect
32. C2×#13063370C22semidirect
33. C22×#10621900C22semidirect
35. C2×#13063349C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063344C22semidirect
38. C2×#13063344C22semidirect
39. C2×#13063333C22semidirect
40. C2×#13063331C22semidirect
52. #14583478C22semidirect
53. #14583478C22semidirect
54. #14583478C22semidirect
56. #14583475C22semidirect
57. #14583470C22semidirect
59. #14583466C22semidirect
61. #14583465C22semidirect
67. #14583411C22semidirect
69. #14583409C22semidirect
70. #14583409C22semidirect
71. #14583409C22semidirect
72. #14583409C22semidirect
73. #14583409C22semidirect
76. C2×#13063296C22semidirect
78. #121×D43C22semidirect
79. #14583379C22semidirect
80. #117×D43C22semidirect
81. #14583243C22semidirect
82. #14583243C22semidirect
83. #14583242C22semidirect
84. #14583242C22semidirect
85. #14583241C22semidirect
86. #14583240C22semidirect
87. #14583240C22semidirect
88. #14583240C22semidirect
89. #14583236C22semidirect
90. #14583235C22semidirect
91. #14583231C22semidirect
92. #14583230C22semidirect
93. #14583226C22semidirect
94. #14583225C22semidirect
95. #14583224C22semidirect
96. #14583223C22semidirect
97. #14583222C22semidirect
98. #14583222C22semidirect
99. #14583222C22semidirect
100. #14583221C22semidirect
101. #14583221C22semidirect
102. #14583221C22semidirect
103. #14583220C22semidirect
104. #14583220C22semidirect
105. #14583216C22semidirect
106. #14583215C22semidirect
107. #14583211C22semidirect
108. #14583210C22semidirect
109. #14583158C22semidirect
110. #14583157C22semidirect
111. #14583151C22semidirect
112. #14583150C22semidirect
113. #14583149C22semidirect
114. #14583149C22semidirect
115. #14583146C22semidirect
116. #14583145C22semidirect
117. #14583144C22semidirect
118. #14583144C22semidirect
119. #14583144C22semidirect
120. #14583143C22semidirect
121. #14583143C22semidirect
122. #14583143C22semidirect
123. #14583141C22semidirect
124. #14583140C22semidirect
125. #14583134C22semidirect
126. #14583133C22semidirect
127. #14583132C22semidirect
128. #14583132C22semidirect
129. #14583129C22semidirect
130. #14583128C22semidirect
131. #14583127C22semidirect
132. #14583127C22semidirect
133. #14583127C22semidirect
134. #14583126C22semidirect
135. #14583126C22semidirect
136. #14583126C22semidirect
137. #14583063C22semidirect
138. #14583063C22semidirect
139. #14583062C22semidirect
140. #14583062C22semidirect
141. #14583062C22semidirect
142. #14583062C22semidirect
143. #14583057C22semidirect
144. #14583051C22semidirect
145. #14583051C22semidirect
146. #14583050C22semidirect
147. #14583050C22semidirect
148. #14583050C22semidirect
149. #14583045C22semidirect
150. #14583045C22semidirect
151. #14583042C22semidirect
152. #14583042C22semidirect
153. #14583041C22semidirect
154. #14583041C22semidirect
155. #14583041C22semidirect
156. #14583041C22semidirect
157. #14583041C22semidirect
158. #14583041C22semidirect
159. #14583040C22semidirect
160. #14583037C22semidirect
161. #14583037C22semidirect
162. #14583033C22semidirect
163. #14583031C22semidirect
164. #14583031C22semidirect
165. #14582940C22semidirect
166. #14582938C22semidirect
167. #107×D43C22semidirect
168. #106×D43C22semidirect
169. #14582897C22semidirect
170. #14582897C22semidirect
171. #14582897C22semidirect
172. #14582897C22semidirect
173. #14582892C22semidirect
174. #14582892C22semidirect
175. #102×D43C22semidirect
176. #102×D43C22semidirect
177. #14582866C22semidirect
178. #14582864C22semidirect
179. #14582864C22semidirect
180. #14582864C22semidirect
181. #14582864C22semidirect
182. #14582862C22semidirect
183. #14582861C22semidirect
184. #14582861C22semidirect
185. C2×(C2×D43)⋊C8C22semidirect
186. C22⋊C8×D43C22semidirect
187. C22⋊C8×D43C22semidirect
189. C43×#535C22semidirect
190. C43×#482C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
194. C43×#469C22semidirect
195. C43×#469C22semidirect
196. C43×#466C22semidirect
197. C43×#466C22semidirect
198. C43×#447C22semidirect
199. C43×#447C22semidirect
200. C43×#447C22semidirect
201. C43×#447C22semidirect
202. C43×#408C22semidirect
978. #3199D43semidirect
1049. #535C2×D43semidirect
1092. #482C2×D43semidirect
1093. #482C2×D43semidirect
1094. #482C2×D43semidirect
1095. #482C2×D43semidirect
1106. #469C2×D43semidirect
1107. #469C2×D43semidirect
1122. #466C2×D43semidirect
1123. #466C2×D43semidirect
1160. #447C2×D43semidirect
1161. #447C2×D43semidirect
1162. #447C2×D43semidirect
1163. #447C2×D43semidirect
1181. #408C2×D43semidirect
1188. C43#60767semidirect

Maximal subgroups

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

subgroupindex
#191482622
#191479262
#191454792
#191454752
#191454692
#191454672
#191454582
#191454472
#191454432
#191454352
#191454312
#191454062
#191454042
#191453862
#191453822
#191453572
#191453552
#191445872
#191445702
#191445232
#482×D432
#191442742
#191442722
#191442602
#191442552
#191438942
#191438422
#191438082
#191430432
C43×#31992
#6076743