Finite Group Databasebeta

← #25973634

Subgroups — #25973634

Order 11008.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148154C211yesmaximal, characteristic, complemented
2#548×D43C211yesmaximal, characteristic, complemented
3#19146865C211yesmaximal, characteristic, complemented
4#19146863C211yesmaximal, characteristic, complemented
5#19146842C211yesmaximal, characteristic, complemented
6#19146776C211yesmaximal, characteristic, complemented
7#19146774C211yesmaximal, characteristic, complemented
8#19146709C211yesmaximal, characteristic, complemented
9#19146707C211yesmaximal, characteristic, complemented
10#19146664C211yesmaximal, characteristic, complemented
11#19146662C211yesmaximal, characteristic, complemented
12#19146581C211yesmaximal, characteristic, complemented
13#19146579C211yesmaximal, characteristic, complemented
14#19146504C211yesmaximal, characteristic, complemented
15#19146502C211yesmaximal, characteristic, complemented
16#19146481C211yesmaximal, characteristic, complemented
17#19146479C211yesmaximal, characteristic, complemented
18#19144978C211yesmaximal, characteristic, complemented
19#19144538C211yesmaximal, characteristic, complemented
20#19144534C211yesmaximal, characteristic, complemented
21#19144398C211yesmaximal, characteristic, complemented
22#19144220C211yesmaximal, characteristic, complemented
23#19144213C211yesmaximal, characteristic, complemented
24#19144084C211yesmaximal, characteristic, complemented
25#19143833C211yesmaximal, characteristic, complemented
26#19143826C211yesmaximal, characteristic, complemented
27C4×#13063354C211yesmaximal, characteristic, complemented
28#19143331C211yesmaximal, characteristic, complemented
29#19143111C211yesmaximal, characteristic, complemented
30#419×D43C211yesmaximal, characteristic, complemented
31C43×#3326C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C22×Q8×D43C2211yescharacteristic
34C2×#13063354C2211yescharacteristic
35C2×#13063354C2211yescharacteristic
36C2×#13063349C2211yescharacteristic
37C2×M16×D43C2211yescharacteristic
38C2×M16×D43C2211yescharacteristic
39#14583617C2211yescharacteristic, complemented
40#14583613C2211yescharacteristic, complemented
41#14583604C2211yescharacteristic, complemented
42#14583599C2211yescharacteristic, complemented
43#14583589C2211yescharacteristic, complemented
44#14583587C2211yescharacteristic, complemented
45#14583585—21no—
46#14583578—21no—
47#14583577—21no—
48#14583561C2211yescharacteristic
49#14583560C2211yescharacteristic
50#14583559—21no—
51#14583559C2211yescharacteristic
52#14583558—21no—
53#14583558C2211yescharacteristic
54#14583557—21no—
55#14583557C2211yescharacteristic
56#14583556C2211yescharacteristic
57#14583555—21no—
58#14583555C2211yescharacteristic
59#14583549C2211yescharacteristic, complemented
60#14583538—21no—
61#14583455C2211yescharacteristic
62#14583432—21no—
63#14583430—21no—
64#14583426—21no—
65#124×D43—21no—
66#124×D43C2211yescharacteristic
67#14583409C2211yescharacteristic
68#14583409C2211yescharacteristic
69C22⋊Q8×D43—21no—
70C22⋊Q8×D43C2211yescharacteristic
71#121×D43—21no—
72#121×D43C2211yescharacteristic
73C4×#10621900—21no—
74C4×#10621900C2211yescharacteristic
75C4×Q8×D43C2211yescharacteristic
76C4×D4×D43—21no—
77C4×D4×D43C2211yescharacteristic
78C2×#13063283C2211yescharacteristic
79#117×D43C2211yescharacteristic
80#14583260C2211yescharacteristic, complemented
81#14583260C2211yescharacteristic, complemented
82#14583257C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583256C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583253C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583243C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic, complemented
93#14583229C2211yescharacteristic, complemented
94#14583224C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic, complemented
96#14583220C2211yescharacteristic, complemented
97#14583219C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583203C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583183C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583157C2211yescharacteristic, complemented
109#14583155C2211yescharacteristic, complemented
110#14583150C2211yescharacteristic, complemented
111#14583145C2211yescharacteristic, complemented
112#14583143C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583141C2211yescharacteristic, complemented
115#14583139C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583132C2211yescharacteristic, complemented
118#14583129C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583127C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583124C2211yescharacteristic, complemented
123#14583122C2211yescharacteristic, complemented
124#14583120C2211yescharacteristic, complemented
125#14583118C2211yescharacteristic, complemented
126#14583116C2211yescharacteristic, complemented
127#14583114C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583057C2211yescharacteristic, complemented
134#14583056C2211yescharacteristic, complemented
135#14583056C2211yescharacteristic, complemented
136#14583055C2211yescharacteristic, complemented
137#14583043C2211yescharacteristic, complemented
138#14583042C2211yescharacteristic, complemented
139#14583041C2211yescharacteristic, complemented
140#14583037C2211yescharacteristic, complemented
141#14583036C2211yescharacteristic, complemented
142#14583036C2211yescharacteristic, complemented
143#14583005C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145#14583000C2211yescharacteristic, complemented
146#14582996C2211yescharacteristic, complemented
147C4×Dic172C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621883C2211yescharacteristic, complemented
150#14582977C2211yescharacteristic, complemented
151#14582973C2211yescharacteristic, complemented
152#14582973C2211yescharacteristic, complemented
153#14582968C2211yescharacteristic, complemented
154#14582968C2211yescharacteristic, complemented
155C8×D172C2211yescharacteristic, complemented
156#14582964C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582938C2211yescharacteristic
159#14582938C2211yescharacteristic
160#14582921C2211yescharacteristic
161#14582909C2211yescharacteristic, complemented
162#14582908C2211yescharacteristic, complemented
163#14582907C2211yescharacteristic, complemented
164#14582906C2211yescharacteristic
165#14582906C2211yescharacteristic
166#14582906C2211yescharacteristic
167#14582906C2211yescharacteristic
168#14582906C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582902C2211yescharacteristic
172#14582902C2211yescharacteristic
173#14582901C2211yescharacteristic, complemented
174#14582900C2211yescharacteristic, complemented
175#14582898C2211yescharacteristic, complemented
176#14582897C2211yescharacteristic
177#14582894C2211yescharacteristic, complemented
178#14582894C2211yescharacteristic, complemented
179#14582892C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic
186#14582861C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#553C2211yescharacteristic, complemented
189C43×#548C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#448C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#419C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210#41×D43—24no—
211#41×D43—42no—
212C22×Dic86—21no—
213C22×Dic86C2311yescharacteristic
214C2×Q8×D43—21no—
215C2×Q8×D43—21no—
216C2×Q8×D43—24no—
217C2×Q8×D43—42no—
218C2×Q8×D43C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43D411yescharacteristic
225C2×D4×D43C2311yescharacteristic
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230#13063354—24no—
231#13063354—42no—
232#13063349—42no—
233C2×Dic172C2311yescharacteristic
234C2×Dic172C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621873C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242C2×#10621877C2311yescharacteristic
243C2×#10621877C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248M16×D43—42no—
249M16×D43—42no—
250C2×C8×D43C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063324C2311yescharacteristic
255#13063324C2311yescharacteristic
256#13063320—21no—
257#13063319—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063317C2311yescharacteristic
262#13063316—21no—
263#13063315—21no—
264#13063315—21no—
265#13063314—21no—
266#13063314C2311yescharacteristic
267#13063313—21no—
268#13063313C2311yescharacteristic
269#13063312—21no—
270#13063312—21no—
271#13063312C2311yescharacteristic
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063310—21no—
281#13063308—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063306—21no—
287#13063305—21no—
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063304—21no—
292#13063304—21no—
293#13063304C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301—21no—
307#13063301C2311yescharacteristic
308#13063300—21no—
309#13063300C2311yescharacteristic
310#13063299—21no—
311#13063299C2311yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063296—21no—
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323#13063296C2311yescharacteristic
324#13063293—21no—
325#13063293—21no—
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43D411yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287D411yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43C2311yescharacteristic
351C4×C22⋊D43C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4D411yescharacteristic
358(C22⋊D43)⋊C4D411yescharacteristic
359#13063284C2311yescharacteristic
360#13063283—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063283C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373C2×C4⋊Dic43C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43D411yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43D411yescharacteristic
387C22⋊C4×D43D411yescharacteristic
388C2×C4×Dic43—21no—
389C2×C4×Dic43—21no—
390C42×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063235C2311yescharacteristic
442#13063235C2311yescharacteristic
443C4×C43⋊C8C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C22×Q8×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451#126×C43—21no—
452#125×C43C2311yescharacteristic
453#124×C43—21no—
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43—21no—
465C4×D4×C43—21no—
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43C2×D411yescharacteristic
489C23×D43C2×D411yescharacteristic
490#41×C43—22no—
491#41×C43—41no—
492C2×Q8×C43—21no—
493C2×Q8×C43—22no—
494C2×Q8×C43—41no—
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43C2×D411yescharacteristic
526C22×Dic43C2×D411yescharacteristic
527#10621902—22no—
528#10621902—41no—
529Q8×D43—22no—
530Q8×D43—22no—
531Q8×D43—22no—
532Q8×D43—22no—
533Q8×D43—22no—
534Q8×D43—41no—
535Q8×D43—41no—
536Q8×D43—44no—
537Q8×D43—44no—
538Q8×D43#4114yescomplemented
539#10621900—22no—
540#10621900—22no—
541#10621900—22no—
542#10621900—41no—
543#10621900—44no—
544#10621900—44no—
545D4×D43—22no—
546D4×D43—22no—
547D4×D43—44no—
548D4×D43—42no—
549D4×D43—44no—
550#10621898—22no—
551#10621898—44no—
552#10621898—41no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172C2×D411yescharacteristic
556C2×D172C2411yescharacteristic
557C2×C4×D43—22no—
558C2×C4×D43—22no—
559C2×C4×D43—22no—
560C2×C4×D43—22no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—44no—
571C2×C4×D43—44no—
572C2×C4×D43C2×D411yescharacteristic
573C2×C4×D43C2×D411yescharacteristic
574C2×C4×D43C2×D411yescharacteristic
575C2×C4×D43C2×D411yescharacteristic
576C2×C4×D43C2×D411yescharacteristic
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2411yescharacteristic
579C2×C4×D43C2411yescharacteristic
580C2×C4×D43C2411yescharacteristic
581C2×Dic86—21no—
582C2×Dic86—22no—
583C2×Dic86—21no—
584C2×Dic86—21no—
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—41no—
590C2×Dic86—44no—
591C2×Dic86C2411yescharacteristic
592C2×Dic86C2411yescharacteristic
593C2×Dic86C2411yescharacteristic
594SD16×C43—22no—
595SD16×C43—41no—
596D8×C43—41no—
597M16×C43—41no—
598M16×C43—41no—
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C2×C8×C43C2411yescharacteristic
602C2×C8×C43C2411yescharacteristic
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43C2×D411yescharacteristic
609C4⋊C4×C43C2411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43C2×D411yescharacteristic
622C22⋊C4×C43C2×D411yescharacteristic
623C42×C43—21no—
624C42×C43—21no—
625C42×C43C2411yescharacteristic
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43C2×D411yescharacteristic
637C22⋊Dic43C2×D411yescharacteristic
638#10621885—22no—
639#10621885—41no—
640#10621883—22no—
641#10621883—41no—
642#10621883—41no—
643#10621882—41no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4C2×D411yescharacteristic
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
662(C2×D43)⋊C4C2×D411yescharacteristic
663C4⋊Dic43—21no—
664C4⋊Dic43—21no—
665C4⋊Dic43—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43C2×D411yescharacteristic
669C4⋊Dic43C2411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672C4⋊Dic43C2411yescharacteristic
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4C2×D411yescharacteristic
689Dic43⋊C4C2×D411yescharacteristic
690C4×Dic43—21no—
691C4×Dic43—21no—
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705#10621877—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—22no—
711Dic172—41no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—22no—
716#10621872—22no—
717C8×D43—41no—
718C8×D43—41no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43C22×D411yescharacteristic
724C23×C43C22×D411yescharacteristic
725C22×D43—22no—
726C22×D43—22no—
727C22×D43—22no—
728C22×D43—21no—
729C22×D43—41no—
730C22×D43—41no—
731C22×D43—41no—
732C22×D43—42no—
733C22×D43—42no—
734C22×D43—42no—
735C22×D43C22×D411yescharacteristic
736C22×D43C22×D411yescharacteristic
737C22×D43C22×D411yescharacteristic
738Q8×C43—21no—
739Q8×C43—21no—
740Q8×C43—21no—
741Q8×C43—42no—
742Q8×C43C2×#4112yes—
743D4×C43—21no—
744D4×C43—21no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—41no—
748D4×C43—42no—
749D4×C43—42no—
750D4×C43—42no—
751D4×C43—81no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—42no—
763C2×C4×C43—42no—
764C2×C4×C43—81no—
765C2×C4×C43—81no—
766C2×C4×C43C22×D411yescharacteristic
767C2×C4×C43C22×D411yescharacteristic
768C2×C4×C43C22×D411yescharacteristic
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C2511yescharacteristic
771C22⋊D43—22no—
772C22⋊D43—41no—
773C22⋊D43—42no—
774C22⋊D43—42no—
775C22⋊D43—42no—
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—42no—
779C22⋊D43—42no—
780C22⋊D43—81no—
781C2×Dic43—21no—
782C2×Dic43—22no—
783C2×Dic43—22no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—42no—
791C2×Dic43—42no—
792C2×Dic43—42no—
793C2×Dic43—42no—
794C2×Dic43—42no—
795C2×Dic43C22×D411yescharacteristic
796C2×Dic43C22×D411yescharacteristic
797C2×Dic43C22×D411yescharacteristic
798C2×Dic43C22×D411yescharacteristic
799C2×Dic43C22×D411yescharacteristic
800D172—22no—
801D172—21no—
802D172—21no—
803D172—42no—
804D172—42no—
805C4×D43—22no—
806C4×D43—22no—
807C4×D43—24no—
808C4×D43—21no—
809C4×D43—21no—
810C4×D43—21no—
811C4×D43—21no—
812C4×D43—22no—
813C4×D43—22no—
814C4×D43—41no—
815C4×D43—41no—
816C4×D43—42no—
817C4×D43—42no—
818C4×D43—42no—
819C4×D43—42no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—81no—
824C4×D43C2×#4112yes—
825C4×D43H(5,𝔽2)12yes—
826Dic86—21no—
827Dic86—24no—
828Dic86—21no—
829Dic86—21no—
830Dic86—21no—
831Dic86—21no—
832Dic86—42no—
833Dic86—42no—
834Dic86—42no—
835Dic86—42no—
836Dic86—42no—
837Dic86—81no—
838Dic86C2×#4112yes—
839C8×C43—21no—
840C8×C43—21no—
841C8×C43—21no—
842C8×C43—21no—
843C43⋊C8—21no—
844C43⋊C8—21no—
845C43⋊C8—21no—
846C43⋊C8—21no—
847#61158—431nomaximal, Sylow
848C22×C43—21no—
849C22×C43—21no—
850C22×C43—21no—
851C22×C43—21no—
852C22×C43—21no—
853C22×C43—21no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43C23×D411yescharacteristic
861C2×D43—21no—
862C2×D43—21no—
863C2×D43—21no—
864C2×D43—21no—
865C2×D43—21no—
866C2×D43—21no—
867C2×D43—21no—
868C2×D43—44no—
869C2×D43—41no—
870C2×D43—41no—
871C2×D43—41no—
872C2×D43—82no—
873C2×D43—84no—
874C2×D43#54612yes—
875C2×D43#57512yes—
876C4×C43—21no—
877C4×C43—22no—
878C4×C43—21no—
879C4×C43—21no—
880C4×C43—21no—
881C4×C43—41no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43—41no—
885C4×C43—41no—
886C4×C43C22×#4111yescharacteristic
887C4×C43C2×H(5,𝔽2)11yescharacteristic
888Dic43—21no—
889Dic43—22no—
890Dic43—21no—
891Dic43—21no—
892Dic43—21no—
893Dic43—41no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897Dic43—41no—
898Dic43—41no—
899Dic43#54612yes—
900#3475—431no—
901C2×#548—431no—
902#3327—431no—
903#3327—431no—
904#3326—431no—
905#3326D4311yescharacteristic, complemented
906#3321—431no—
907#3321—431no—
908#3316—431no—
909#3316—431no—
910#3313—431no—
911#3313—431no—
912#3308—431no—
913#3308—431no—
914#3301—431no—
915#3301—431no—
916#3300—431no—
917#3300—431no—
918#3140—431no—
919#3095—431no—
920#3094—431no—
921#3078—431no—
922#3056—431no—
923#3055—431no—
924#3040—431no—
925#3005—431no—
926#3004—431no—
927C4×#137—431no—
928D4×M16—431no—
929#2896—431no—
930C2×#419—431no—
931C2×C43—41no—
932C2×C43—41no—
933C2×C43—81no—
934C2×C43—81no—
935C2×C43C2×#54611yescharacteristic
936C2×C43C2×#57511yescharacteristic
937C2×C43#358611yescharacteristic
938D43—22no—
939D43—22no—
940D43—41no—
941D43—81no—
942C22×#41—431no—
943C23×Q8—431no—
944C2×#137—431no—
945C2×#137—431no—
946C2×AGL(1,ℤ/8)—431no—
947C22×M16—431no—
948C22×M16—431no—
949#556—431no—
950#555—431no—
951#554—431no—
952#553—431no—
953#553C2×D4311yescharacteristic, complemented
954#552—431no—
955#552—431no—
956#552—861no—
957#551—861no—
958#551—861no—
959#548—431no—
960#548—431no—
961#548—431no—
962#548—431no—
963#548—431no—
964#548—431no—
965#548—431no—
966#548—861no—
967#548—861no—
968#548—861no—
969#548—861no—
970#548C2×D4311yescharacteristic
971#547—431no—
972#546—861no—
973#533—431no—
974#529—861no—
975#529—861no—
976#529—861no—
977C2×#124—431no—
978C2×#124—861no—
979#525—431no—
980#525—431no—
981C2×C22⋊Q8—431no—
982C2×C22⋊Q8—861no—
983C2×#121—431no—
984C2×#121—861no—
985C4×#41—431no—
986C4×#41—861no—
987C2×C4×Q8—431no—
988C2×C4×D4—431no—
989C2×C4×D4—861no—
990C2×#117—431no—
991C2×#117—431no—
992#489—431no—
993#489—431no—
994#489—431no—
995#489—431no—
996#488—431no—
997#488—431no—
998#488—431no—
999#488C2×D4311yescharacteristic, complemented
1000#485—431no—
1001#485—431no—
1002#485—431no—
1003#485—431no—
1004#484—431no—
1005#484—431no—
1006#483—431no—
1007#483C2×D4311yescharacteristic, complemented
1008#482—431no—
1009#482—431no—
1010#482—431no—
1011#482C2×D4311yescharacteristic, complemented
1012#481—431no—
1013#481—431no—
1014#480—431no—
1015#480—431no—
1016#479—431no—
1017#479—431no—
1018#479—431no—
1019#479C2×D4311yescharacteristic, complemented
1020#477—431no—
1021#477—431no—
1022#475—431no—
1023#475—431no—
1024#470—431no—
1025#470—431no—
1026#469—431no—
1027#469C2×D4311yescharacteristic, complemented
1028#468—431no—
1029#468—431no—
1030#468—431no—
1031#468C2×D4311yescharacteristic, complemented
1032#467—431no—
1033#467—431no—
1034#466—431no—
1035#466—431no—
1036#465—431no—
1037#465—431no—
1038#465—431no—
1039#465—431no—
1040#464—431no—
1041#464—431no—
1042#464—431no—
1043#464—431no—
1044#463—431no—
1045#463—431no—
1046#463—431no—
1047#463C2×D4311yescharacteristic, complemented
1048#452—431no—
1049#452—431no—
1050#452—431no—
1051#452—431no—
1052#451—431no—
1053#451—431no—
1054#451—431no—
1055#451—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#449C2×D4311yescharacteristic, complemented
1060#448—431no—
1061#448—431no—
1062#448—431no—
1063#448C2×D4311yescharacteristic, complemented
1064#441—431no—
1065#441—431no—
1066#440—431no—
1067#440—431no—
1068C4×Q16—431no—
1069C4×Q16—431no—
1070C4×SD16—431no—
1071C4×SD16C2×D4311yescharacteristic, complemented
1072#436—431no—
1073#436C2×D4311yescharacteristic, complemented
1074#435—431no—
1075#435—431no—
1076#435—431no—
1077#435—431no—
1078C8×D4—431no—
1079C8×D4—431no—
1080#428—431no—
1081#428—431no—
1082#428—431no—
1083#423—431no—
1084#419—431no—
1085#419—431no—
1086#419—431no—
1087#419—431no—
1088#419—431no—
1089#419—431no—
1090#419—431no—
1091#419—431no—
1092#419—431no—
1093#419C2×D4311yescharacteristic, complemented
1094#418—431no—
1095#418—431no—
1096#418—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417C2×D4311yescharacteristic, complemented
1102#416—431no—
1103#416—431no—
1104#416—431no—
1105#416—431no—
1106C2×#103—431no—
1107C2×#103—431no—
1108C2×#103—431no—
1109C2×#103—431no—
1110#407—431no—
1111#407—431no—
1112C4×M16—431no—
1113C43#6115811yescharacteristic, complemented, Sylow
1114C2×#41—431no—
1115C2×#41—431no—
1116C2×#41—431no—
1117C2×#41—431no—
1118C2×#41—861no—
1119C2×#41—861no—
1120C2×#41—861no—
1121C2×#41—864no—
1122C2×#41—1722no—
1123C2×#41C22×D4311yescharacteristic
1124C22×Q8—431no—
1125C22×Q8—431no—
1126C22×Q8—431no—
1127C22×Q8—431no—
1128C22×Q8—431no—
1129C22×Q8—861no—
1130C22×Q8—861no—
1131C22×Q8—861no—
1132C22×Q8—864no—
1133C22×Q8—1722no—
1134C22×Q8C22×D4311yescharacteristic
1135C22×D4—431no—
1136C22×D4—431no—
1137C22×D4—861no—
1138C22×D4—861no—
1139C23×C4—431no—
1140C23×C4—431no—
1141C23×C4—861no—
1142C23×C4—861no—
1143#137—864no—
1144#137—1722no—
1145AGL(1,ℤ/8)—1722no—
1146C2×Q16—431no—
1147C2×Q16—431no—
1148C2×Q16—431no—
1149C2×Q16—431no—
1150C2×SD16—431no—
1151C2×SD16—431no—
1152C2×SD16—431no—
1153C2×SD16—431no—
1154C2×SD16C22×D4311yescharacteristic
1155C2×SD16C22×D4311yescharacteristic
1156C2×D8—431no—
1157C2×D8C22×D4311yescharacteristic
1158C2×M16—431no—
1159C2×M16—431no—
1160C2×M16—431no—
1161C2×M16—431no—
1162C2×M16—431no—
1163C2×M16—431no—
1164C2×M16—1722no—
1165C2×M16—1722no—
1166C2×M16C22×D4311yescharacteristic
1167C2×M16C22×D4311yescharacteristic
1168C22×C8—431no—
1169C22×C8—431no—
1170C22×C8—431no—
1171C22×C8—431no—
1172C4⋊Q8—431no—
1173C4⋊Q8—431no—
1174#126—21no—
1175#126—861no—
1176#126—861no—
1177#126—861no—
1178#126—861no—
1179#126—861no—
1180#125—431no—
1181#125—861no—
1182#125—861no—
1183#125—861no—
1184#125C22×D4311yescharacteristic
1185#124—21no—
1186#124—431no—
1187#124—431no—
1188#124—431no—
1189#124—861no—
1190#124—861no—
1191#124—861no—
1192#124—861no—
1193#124—861no—
1194#124—861no—
1195#124—861no—
1196#124—861no—
1197#124—861no—
1198#124—861no—
1199#124—861no—
1200#124—861no—
1201#124C22×D4311yescharacteristic
1202#123—21no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210C22⋊Q8—21no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—431no—
1214C22⋊Q8—431no—
1215C22⋊Q8—431no—
1216C22⋊Q8—431no—
1217C22⋊Q8—431no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225C22⋊Q8—861no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8—861no—
1231C22⋊Q8—861no—
1232C22⋊Q8C22×D4311yescharacteristic
1233#121—21no—
1234#121—21no—
1235#121—431no—
1236#121—431no—
1237#121—431no—
1238#121—431no—
1239#121—431no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121—861no—
1251#121C22×D4311yescharacteristic
1252#121C22×D4311yescharacteristic
1253#121C22×D4311yescharacteristic
1254#120—861no—
1255#120—861no—
1256C4×Q8—431no—
1257C4×Q8—431no—
1258C4×Q8—431no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—861no—
1262C4×Q8—861no—
1263C4×Q8—861no—
1264C4×Q8—861no—
1265C4×Q8—861no—
1266C4×Q8C22×D4311yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4C22×D4311yescharacteristic
1293C4×D4C22×D4311yescharacteristic
1294#117—431no—
1295#117—431no—
1296#117—431no—
1297#117—431no—
1298#117—431no—
1299#117—431no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117C22×D4311yescharacteristic
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—431no—
1311C2×C4⋊C4—431no—
1312C2×C4⋊C4—431no—
1313C2×C4⋊C4—431no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4C22×D4311yescharacteristic
1317C2×C22⋊C4—431no—
1318C2×C22⋊C4—431no—
1319C2×C22⋊C4—861no—
1320C2×C22⋊C4—861no—
1321C2×C22⋊C4—861no—
1322C2×C22⋊C4—861no—
1323C2×C22⋊C4—861no—
1324C2×C22⋊C4—861no—
1325C2×C42—431no—
1326C2×C42—861no—
1327C2×C42—861no—
1328C2×C42—861no—
1329C2×C42—861no—
1330#107—431no—
1331#107—431no—
1332#107—431no—
1333#107—431no—
1334#107—431no—
1335#107C22×D4311yescharacteristic
1336#106—431no—
1337#106—431no—
1338#106—431no—
1339#106—431no—
1340#106C22×D4311yescharacteristic
1341#106C22×D4311yescharacteristic
1342C4⋊C8—431no—
1343C4⋊C8—431no—
1344C4⋊C8—431no—
1345C4⋊C8C22×D4311yescharacteristic
1346#103—431no—
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103C22×D4311yescharacteristic
1367#103C22×D4311yescharacteristic
1368#103C22×D4311yescharacteristic
1369#103C22×D4311yescharacteristic
1370#103C22×D4311yescharacteristic
1371#103C22×D4311yescharacteristic
1372#102—431no—
1373#102—431no—
1374#102—431no—
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102C22×D4311yescharacteristic
1383#102C22×D4311yescharacteristic
1384#102C22×D4311yescharacteristic
1385#102C22×D4311yescharacteristic
1386C22⋊C8—431no—
1387C22⋊C8—431no—
1388C22⋊C8—431no—
1389C22⋊C8—431no—
1390C22⋊C8—431no—
1391C22⋊C8—431no—
1392C22⋊C8C22×D4311yescharacteristic
1393C22⋊C8C22×D4311yescharacteristic
1394#97—431no—
1395#97—431no—
1396C4×C8—431no—
1397C4×C8C22×D4311yescharacteristic
1398C24—431no—
1399C24—431no—
1400C24—861no—
1401#41—22no—
1402#41—41no—
1403#41—862no—
1404#41—862no—
1405#41—862no—
1406#41—862no—
1407#41—862no—
1408#41—1721no—
1409#41—1724no—
1410#41—1721no—
1411#41—1724no—
1412#41—1721no—
1413#41—1724no—
1414C2×Q8—21no—
1415C2×Q8—22no—
1416C2×Q8—41no—
1417C2×Q8—434no—
1418C2×Q8—431no—
1419C2×Q8—431no—
1420C2×Q8—431no—
1421C2×Q8—861no—
1422C2×Q8—861no—
1423C2×Q8—861no—
1424C2×Q8—861no—
1425C2×Q8—861no—
1426C2×Q8—861no—
1427C2×Q8—862no—
1428C2×Q8—862no—
1429C2×Q8—862no—
1430C2×Q8—862no—
1431C2×Q8—861no—
1432C2×Q8—862no—
1433C2×Q8—862no—
1434C2×Q8—1721no—
1435C2×Q8—1724no—
1436C2×Q8—1724no—
1437C2×Q8—1721no—
1438C2×Q8—1721no—
1439C2×Q8—1724no—
1440C2×Q8C23×D4311yescharacteristic
1441C2×Q8C23×D4311yescharacteristic
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—431no—
1447C2×D4—431no—
1448C2×D4—431no—
1449C2×D4—431no—
1450C2×D4—861no—
1451C2×D4—861no—
1452C2×D4—862no—
1453C2×D4—862no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—861no—
1457C2×D4—861no—
1458C2×D4—861no—
1459C2×D4—861no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—1724no—
1463C2×D4—1722no—
1464C2×D4—1724no—
1465C2×D4D4×D4311yescharacteristic
1466C2×D4C23×D4311yescharacteristic
1467C2×D4C23×D4311yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—431no—
1473C22×C4—431no—
1474C22×C4—431no—
1475C22×C4—431no—
1476C22×C4—431no—
1477C22×C4—431no—
1478C22×C4—431no—
1479C22×C4—431no—
1480C22×C4—431no—
1481C22×C4—431no—
1482C22×C4—431no—
1483C22×C4—862no—
1484C22×C4—862no—
1485C22×C4—862no—
1486C22×C4—862no—
1487C22×C4—861no—
1488C22×C4—861no—
1489C22×C4—861no—
1490C22×C4—861no—
1491C22×C4—861no—
1492C22×C4—861no—
1493C22×C4—861no—
1494C22×C4—861no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—1724no—
1502C22×C4—1724no—
1503C22×C4C23×D4311yescharacteristic
1504C22×C4C23×D4311yescharacteristic
1505Q16—862no—
1506Q16—862no—
1507Q16—1721no—
1508Q16—1721no—
1509SD16—22no—
1510SD16—41no—
1511SD16—862no—
1512SD16—1721no—
1513SD16—1721no—
1514SD16—1721no—
1515D8—41no—
1516D8—1721no—
1517M16—41no—
1518M16—41no—
1519M16—862no—
1520M16—862no—
1521M16—862no—
1522M16—862no—
1523M16—1721no—
1524M16—1721no—
1525C2×C8—431no—
1526C2×C8—431no—
1527C2×C8—431no—
1528C2×C8—431no—
1529C2×C8—1721no—
1530C2×C8—1721no—
1531C2×C8—1721no—
1532C2×C8—1721no—
1533C2×C8C23×D4311yescharacteristic
1534C2×C8C23×D4311yescharacteristic
1535C2×C8C23×D4311yescharacteristic
1536C2×C8C23×D4311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—431no—
1543C4⋊C4—431no—
1544C4⋊C4—431no—
1545C4⋊C4—431no—
1546C4⋊C4—431no—
1547C4⋊C4—431no—
1548C4⋊C4—431no—
1549C4⋊C4—861no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4D4×D4311yescharacteristic
1570C4⋊C4C23×D4311yescharacteristic
1571C4⋊C4C23×D4311yescharacteristic
1572C4⋊C4C23×D4311yescharacteristic
1573C4⋊C4C23×D4311yescharacteristic
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—431no—
1583C22⋊C4—431no—
1584C22⋊C4—431no—
1585C22⋊C4—431no—
1586C22⋊C4—431no—
1587C22⋊C4—431no—
1588C22⋊C4—861no—
1589C22⋊C4—861no—
1590C22⋊C4—861no—
1591C22⋊C4—861no—
1592C22⋊C4—861no—
1593C22⋊C4—861no—
1594C22⋊C4—861no—
1595C22⋊C4—861no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1614C22⋊C4D4×D4311yescharacteristic
1615C42—21no—
1616C42—21no—
1617C42—431no—
1618C42—431no—
1619C42—431no—
1620C42—861no—
1621C42—861no—
1622C42—861no—
1623C42—861no—
1624C42—861no—
1625C42—861no—
1626C42—861no—
1627C42—861no—
1628C42—861no—
1629C42—861no—
1630C42—861no—
1631C42C23×D4311yescharacteristic
1632C23—21no—
1633C23—21no—
1634C23—431no—
1635C23—431no—
1636C23—431no—
1637C23—862no—
1638C23—862no—
1639C23—862no—
1640C23—861no—
1641C23—1721no—
1642C23—1721no—
1643C23—1721no—
1644C23—1722no—
1645C23—1722no—
1646C23—1722no—
1647C23C2×D4×D4311yescharacteristic
1648C23C2×D4×D4311yescharacteristic
1649Q8—21no—
1650Q8—21no—
1651Q8—21no—
1652Q8—42no—
1653Q8—432no—
1654Q8—864no—
1655Q8—861no—
1656Q8—861no—
1657Q8—861no—
1658Q8—861no—
1659Q8—861no—
1660Q8—3441no—
1661Q8—1722no—
1662Q8—1722no—
1663Q8—1722no—
1664Q8—1722no—
1665Q8—1722no—
1666Q8#41×D4312yes—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—41no—
1672D4—42no—
1673D4—42no—
1674D4—42no—
1675D4—81no—
1676D4—862no—
1677D4—862no—
1678D4—861no—
1679D4—861no—
1680D4—3441no—
1681D4—1722no—
1682D4—1722no—
1683D4—1722no—
1684D4—1721no—
1685D4—1722no—
1686D4—1722no—
1687D4—1722no—
1688D4—1722no—
1689D4—1722no—
1690D4—1722no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—81no—
1704C2×C4—81no—
1705C2×C4—431no—
1706C2×C4—432no—
1707C2×C4—432no—
1708C2×C4—431no—
1709C2×C4—431no—
1710C2×C4—431no—
1711C2×C4—431no—
1712C2×C4—862no—
1713C2×C4—862no—
1714C2×C4—862no—
1715C2×C4—862no—
1716C2×C4—864no—
1717C2×C4—862no—
1718C2×C4—862no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—861no—
1730C2×C4—3441no—
1731C2×C4—1721no—
1732C2×C4—1721no—
1733C2×C4—1722no—
1734C2×C4—1722no—
1735C2×C4—1722no—
1736C2×C4—1722no—
1737C2×C4—1722no—
1738C2×C4—1722no—
1739C2×C4—1722no—
1740C2×C4—1722no—
1741C2×C4—1722no—
1742C2×C4—1722no—
1743C2×C4—1722no—
1744C2×C4—1722no—
1745C2×C4C2×D4×D4311yescharacteristic
1746C2×C4C2×D4×D4311yescharacteristic
1747C2×C4C2×D4×D4311yescharacteristic
1748C2×C4C2×D4×D4311yescharacteristic
1749C2×C4C24×D4311yescharacteristic
1750C8—21no—
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—861no—
1755C8—861no—
1756C8—861no—
1757C8—861no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—432no—
1771C22—432no—
1772C22—861no—
1773C22—861no—
1774C22—861no—
1775C22—861no—
1776C22—861no—
1777C22—861no—
1778C22—861no—
1779C22—3442no—
1780C22—3444no—
1781C22—1724no—
1782C22—1721no—
1783C22—1721no—
1784C22—1721no—
1785C22C22×D4×D4311yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—22no—
1789C4—21no—
1790C4—21no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—432no—
1797C4—861no—
1798C4—861no—
1799C4—862no—
1800C4—861no—
1801C4—861no—
1802C4—1721no—
1803C4—1721no—
1804C4—1721no—
1805C4—1721no—
1806C4—1721no—
1807C4—1721no—
1808C4C2×#41×D4311yescharacteristic
1809C4H(5,𝔽2)×D4311yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—81no—
1813C2—81no—
1814C2—862no—
1815C2—862no—
1816C2—3441no—
1817C2—1721no—
1818C2#546×D4311yescharacteristic
1819C2#575×D4311yescharacteristic
1820C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3326C2
socleC22×C43C23×D4
hypercenter#3326D43
hypocenterC43#61158
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #19148154C2semidirect
2. #548×D43C2semidirect
3. #19146865C2semidirect
4. #19146863C2semidirect
5. #19146842C2semidirect
6. #19146776C2semidirect
7. #19146774C2semidirect
8. #19146709C2semidirect
9. #19146707C2semidirect
10. #19146664C2semidirect
11. #19146662C2semidirect
12. #19146581C2semidirect
13. #19146579C2semidirect
14. #19146504C2semidirect
15. #19146502C2semidirect
16. #19146481C2semidirect
17. #19146479C2semidirect
18. #19144978C2semidirect
19. #19144538C2semidirect
20. #19144534C2semidirect
21. #19144398C2semidirect
22. #19144220C2semidirect
23. #19144213C2semidirect
24. #19144084C2semidirect
25. #19143833C2semidirect
26. #19143826C2semidirect
27. C4×#13063354C2semidirect
28. #19143331C2semidirect
29. #19143111C2semidirect
30. #419×D43C2semidirect
31. C43×#3326C2semidirect
39. #14583617C22semidirect
40. #14583613C22semidirect
41. #14583604C22semidirect
42. #14583599C22semidirect
43. #14583589C22semidirect
44. #14583587C22semidirect
59. #14583549C22semidirect
80. #14583260C22semidirect
81. #14583260C22semidirect
82. #14583257C22semidirect
83. #14583257C22semidirect
84. #14583256C22semidirect
85. #14583254C22semidirect
86. #14583253C22semidirect
87. #14583243C22semidirect
88. #14583243C22semidirect
89. #14583239C22semidirect
90. #14583239C22semidirect
91. #14583235C22semidirect
92. #14583232C22semidirect
93. #14583229C22semidirect
94. #14583224C22semidirect
95. #14583223C22semidirect
96. #14583220C22semidirect
97. #14583219C22semidirect
98. #14583216C22semidirect
99. #14583214C22semidirect
100. #14583211C22semidirect
101. #14583207C22semidirect
102. #14583206C22semidirect
103. #14583203C22semidirect
104. #14583193C22semidirect
105. #14583192C22semidirect
106. #14583183C22semidirect
107. #14583182C22semidirect
108. #14583157C22semidirect
109. #14583155C22semidirect
110. #14583150C22semidirect
111. #14583145C22semidirect
112. #14583143C22semidirect
113. #14583143C22semidirect
114. #14583141C22semidirect
115. #14583139C22semidirect
116. #14583134C22semidirect
117. #14583132C22semidirect
118. #14583129C22semidirect
119. #14583127C22semidirect
120. #14583127C22semidirect
121. #14583125C22semidirect
122. #14583124C22semidirect
123. #14583122C22semidirect
124. #14583120C22semidirect
125. #14583118C22semidirect
126. #14583116C22semidirect
127. #14583114C22semidirect
128. #14583112C22semidirect
129. #14583064C22semidirect
130. #14583063C22semidirect
131. #14583062C22semidirect
132. #14583061C22semidirect
133. #14583057C22semidirect
134. #14583056C22semidirect
135. #14583056C22semidirect
136. #14583055C22semidirect
137. #14583043C22semidirect
138. #14583042C22semidirect
139. #14583041C22semidirect
140. #14583037C22semidirect
141. #14583036C22semidirect
142. #14583036C22semidirect
143. #14583005C22semidirect
144. #14583003C22semidirect
145. #14583000C22semidirect
146. #14582996C22semidirect
147. C4×Dic172C22semidirect
148. C4×#10621885C22semidirect
149. C4×#10621883C22semidirect
150. #14582977C22semidirect
151. #14582973C22semidirect
152. #14582973C22semidirect
153. #14582968C22semidirect
154. #14582968C22semidirect
155. C8×D172C22semidirect
156. #14582964C22semidirect
161. #14582909C22semidirect
162. #14582908C22semidirect
163. #14582907C22semidirect
173. #14582901C22semidirect
174. #14582900C22semidirect
175. #14582898C22semidirect
177. #14582894C22semidirect
178. #14582894C22semidirect
179. #14582892C22semidirect
180. #14582892C22semidirect
181. #103×D43C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #103×D43C22semidirect
188. C43×#553C22semidirect
190. C43×#488C22semidirect
191. C43×#483C22semidirect
192. C43×#482C22semidirect
193. C43×#479C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
196. C43×#463C22semidirect
197. C43×#449C22semidirect
198. C43×#448C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#419C22semidirect
202. C43×#417C22semidirect
538. Q8×D43#41semidirect
905. #3326D43semidirect
953. #553C2×D43semidirect
999. #488C2×D43semidirect
1007. #483C2×D43semidirect
1011. #482C2×D43semidirect
1019. #479C2×D43semidirect
1027. #469C2×D43semidirect
1031. #468C2×D43semidirect
1047. #463C2×D43semidirect
1059. #449C2×D43semidirect
1063. #448C2×D43semidirect
1071. C4×SD16C2×D43semidirect
1073. #436C2×D43semidirect
1093. #419C2×D43semidirect
1101. #417C2×D43semidirect
1113. C43#61158semidirect

Maximal subgroups

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

subgroupindex
#191481542
#548×D432
#191468652
#191468632
#191468422
#191467762
#191467742
#191467092
#191467072
#191466642
#191466622
#191465812
#191465792
#191465042
#191465022
#191464812
#191464792
#191449782
#191445382
#191445342
#191443982
#191442202
#191442132
#191440842
#191438332
#191438262
C4×#130633542
#191433312
#191431112
#419×D432
C43×#33262
#6115843