Finite Group Databasebeta

← #31733405

Subgroups — #31733405

Order 17152.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22573943C211yesmaximal, characteristic, complemented
2#22573839C211yesmaximal, characteristic, complemented
3#22572447C211yesmaximal, characteristic, complemented
4#22572445C211yesmaximal, characteristic, complemented
5#22572416C211yesmaximal, characteristic, complemented
6#22572410C211yesmaximal, characteristic, complemented
7#22572368C211yesmaximal, characteristic, complemented
8#22572355C211yesmaximal, characteristic, complemented
9#22572353C211yesmaximal, characteristic, complemented
10#22572352C211yesmaximal, characteristic, complemented
11#22572343C211yesmaximal, characteristic, complemented
12#22572169C211yesmaximal, characteristic, complemented
13#22572163C211yesmaximal, characteristic, complemented
14#22572066C211yesmaximal, characteristic, complemented
15#22572060C211yesmaximal, characteristic, complemented
16#22572019C211yesmaximal, characteristic, complemented
17#22572017C211yesmaximal, characteristic, complemented
18#22570560C211yesmaximal, characteristic, complemented
19#22570162C211yesmaximal, characteristic, complemented
20#22570127C211yesmaximal, characteristic, complemented
21#22570033C211yesmaximal, characteristic, complemented
22#22569852C211yesmaximal, characteristic, complemented
23#22569823C211yesmaximal, characteristic, complemented
24#22569710C211yesmaximal, characteristic, complemented
25#22569474C211yesmaximal, characteristic, complemented
26#447×D67C211yesmaximal, characteristic, complemented
27#22569058C211yesmaximal, characteristic, complemented
28#22568932C211yesmaximal, characteristic, complemented
29#22568731C211yesmaximal, characteristic, complemented
30#418×D67C211yesmaximal, characteristic, complemented
31C67×#3319C211yesmaximal, characteristic, complemented
32C2×#14524089C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524070C2211yescharacteristic, complemented
35C2×D8×D67C2211yescharacteristic
36C2×D8×D67C2211yescharacteristic, complemented
37C2×#14524049C2211yescharacteristic, complemented
38C2×M16×D67C2211yescharacteristic, complemented
39#16864109C2211yescharacteristic, complemented
40#16864096C2211yescharacteristic, complemented
41#16864093C2211yescharacteristic, complemented
42#16864092C2211yescharacteristic, complemented
43#16864090C2211yescharacteristic, complemented
44#16864076—21no—
45#16864070—21no—
46#16864049C2211yescharacteristic, complemented
47#16864046C2211yescharacteristic, complemented
48#16864039—21no—
49#16864039C2211yescharacteristic, complemented
50#16864038—21no—
51#16864037C2211yescharacteristic, complemented
52#16864036—21no—
53#16864035—21no—
54#16864034C2211yescharacteristic, complemented
55D4×D268C2211yescharacteristic, complemented
56D4×D268C2211yescharacteristic, complemented
57#16864030—21no—
58#16864030C2211yescharacteristic, complemented
59D4×C22⋊D67C2211yescharacteristic, complemented
60#16864028—21no—
61#16864023C2211yescharacteristic, complemented
62#16864010—21no—
63#16863996—21no—
64#16863964C2211yescharacteristic
65#16863962C2211yescharacteristic
66#16863962C2211yescharacteristic, complemented
67#16863957—21no—
68#16863954—21no—
69#16863945—21no—
70#16863924—21no—
71#16863909C2211yescharacteristic
72#16863905C2211yescharacteristic
73#121×D67C2211yescharacteristic, complemented
74C2×#14524013—21no—
75#120×D67—21no—
76#16863876C2211yescharacteristic, complemented
77#16863868C2211yescharacteristic
78#16863868C2211yescharacteristic, complemented
79#117×D67C2211yescharacteristic, complemented
80#16863761C2211yescharacteristic, complemented
81#16863759C2211yescharacteristic, complemented
82#16863757C2211yescharacteristic, complemented
83#16863752C2211yescharacteristic, complemented
84#16863750C2211yescharacteristic, complemented
85#16863744C2211yescharacteristic, complemented
86#16863741C2211yescharacteristic, complemented
87#16863734C2211yescharacteristic, complemented
88#16863730C2211yescharacteristic, complemented
89#16863725C2211yescharacteristic, complemented
90#16863722C2211yescharacteristic, complemented
91#16863721C2211yescharacteristic, complemented
92#16863720C2211yescharacteristic, complemented
93#16863720C2211yescharacteristic, complemented
94#16863719C2211yescharacteristic, complemented
95#16863716C2211yescharacteristic, complemented
96#16863715C2211yescharacteristic, complemented
97#16863713C2211yescharacteristic, complemented
98#16863711C2211yescharacteristic, complemented
99#16863711C2211yescharacteristic, complemented
100#16863707C2211yescharacteristic, complemented
101#16863699C2211yescharacteristic, complemented
102#16863697C2211yescharacteristic, complemented
103#16863696C2211yescharacteristic, complemented
104#16863694C2211yescharacteristic, complemented
105#16863684C2211yescharacteristic, complemented
106#16863683C2211yescharacteristic, complemented
107#16863675C2211yescharacteristic, complemented
108#16863649C2211yescharacteristic, complemented
109#16863648C2211yescharacteristic, complemented
110#16863648C2211yescharacteristic, complemented
111#16863647C2211yescharacteristic, complemented
112#16863647C2211yescharacteristic, complemented
113#16863647C2211yescharacteristic, complemented
114#16863644C2211yescharacteristic, complemented
115#16863633C2211yescharacteristic, complemented
116#16863633C2211yescharacteristic, complemented
117#16863632C2211yescharacteristic, complemented
118#16863631C2211yescharacteristic, complemented
119#16863629C2211yescharacteristic, complemented
120#16863628C2211yescharacteristic, complemented
121#16863622C2211yescharacteristic, complemented
122#16863614C2211yescharacteristic, complemented
123#16863613C2211yescharacteristic, complemented
124#16863608C2211yescharacteristic, complemented
125#16863592C2211yescharacteristic, complemented
126#16863591C2211yescharacteristic, complemented
127#16863590C2211yescharacteristic, complemented
128#16863589C2211yescharacteristic, complemented
129#16863544C2211yescharacteristic, complemented
130#16863541C2211yescharacteristic, complemented
131#16863540C2211yescharacteristic, complemented
132#16863532C2211yescharacteristic, complemented
133#16863532C2211yescharacteristic, complemented
134#16863531C2211yescharacteristic, complemented
135#16863531C2211yescharacteristic, complemented
136#16863531C2211yescharacteristic, complemented
137#16863530C2211yescharacteristic, complemented
138#16863529C2211yescharacteristic, complemented
139#16863529C2211yescharacteristic, complemented
140#16863528C2211yescharacteristic, complemented
141#16863528C2211yescharacteristic, complemented
142#16863528C2211yescharacteristic, complemented
143#16863509C2211yescharacteristic, complemented
144#16863508C2211yescharacteristic, complemented
145#16863507C2211yescharacteristic, complemented
146C4×#11761613C2211yescharacteristic, complemented
147C4×#11761613C2211yescharacteristic, complemented
148#16863476C2211yescharacteristic, complemented
149#16863476C2211yescharacteristic, complemented
150#16863474C2211yescharacteristic, complemented
151#16863472C2211yescharacteristic, complemented
152#16863470C2211yescharacteristic, complemented
153#16863470C2211yescharacteristic, complemented
154#16863469C2211yescharacteristic, complemented
155#16863461C2211yescharacteristic, complemented
156C8×C22⋊D67C2211yescharacteristic, complemented
157#16863437C2211yescharacteristic, complemented
158#16863433C2211yescharacteristic, complemented
159#16863431C2211yescharacteristic, complemented
160#16863421C2211yescharacteristic, complemented
161#16863402C2211yescharacteristic, complemented
162#16863401C2211yescharacteristic, complemented
163#16863400C2211yescharacteristic, complemented
164#16863400C2211yescharacteristic, complemented
165#16863399C2211yescharacteristic
166#16863399C2211yescharacteristic
167#16863399C2211yescharacteristic, complemented
168#16863399C2211yescharacteristic, complemented
169#16863399C2211yescharacteristic, complemented
170#16863399C2211yescharacteristic, complemented
171#16863397C2211yescharacteristic, complemented
172#16863396C2211yescharacteristic, complemented
173#16863396C2211yescharacteristic, complemented
174#16863391C2211yescharacteristic, complemented
175#16863391C2211yescharacteristic, complemented
176#16863391C2211yescharacteristic, complemented
177C2×#14523965C2211yescharacteristic, complemented
178#102×D67C2211yescharacteristic
179#102×D67C2211yescharacteristic, complemented
180#102×D67C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#102×D67C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186C22⋊C8×D67C2211yescharacteristic, complemented
187#16863353C2211yescharacteristic, complemented
188#555×C67C2211yescharacteristic, complemented
189#546×C67C2211yescharacteristic, complemented
190#489×C67C2211yescharacteristic, complemented
191#485×C67C2211yescharacteristic, complemented
192#482×C67C2211yescharacteristic, complemented
193#474×C67C2211yescharacteristic, complemented
194#468×C67C2211yescharacteristic, complemented
195#466×C67C2211yescharacteristic, complemented
196#463×C67C2211yescharacteristic, complemented
197#449×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199#442×C67C2211yescharacteristic, complemented
200#435×C67C2211yescharacteristic, complemented
201#418×C67C2211yescharacteristic, complemented
202#416×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524089—24no—
205#14524089—42no—
206C2×#11761629—21no—
207C2×#11761629C2311yescharacteristic
208C2×#11761629C2311yescharacteristic
209C2×#11761628—21no—
210C2×#11761628C2311yescharacteristic
211C2×#11761627—21no—
212C22×D268—21no—
213C22×D268—21no—
214C22×D268C2311yescharacteristic
215C22×D268C2311yescharacteristic
216C22×C22⋊D67—21no—
217C22×C22⋊D67—21no—
218C2×D4×D67—24no—
219C2×D4×D67—21no—
220C2×D4×D67—21no—
221C2×D4×D67—21no—
222C2×D4×D67—21no—
223C2×D4×D67—21no—
224C2×D4×D67—21no—
225C2×D4×D67—21no—
226C2×D4×D67—42no—
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C2×D4×D67C2311yescharacteristic
233C22×C4×D67C2311yescharacteristic
234#14524070—42no—
235C2×#11761615C2311yescharacteristic, complemented
236C2×D536C2311yescharacteristic
237C2×D536C2311yescharacteristic
238C2×D536C2311yescharacteristic, complemented
239C2×#11761613C2311yescharacteristic
240C2×#11761613C2311yescharacteristic
241C2×#11761613C2311yescharacteristic
242C2×#11761613C2311yescharacteristic
243C2×#11761613C2311yescharacteristic, complemented
244D8×D67—24no—
245D8×D67—42no—
246#14524049—42no—
247C2×#11761612C2311yescharacteristic
248C2×#11761612C2311yescharacteristic, complemented
249C2×#11761611C2311yescharacteristic
250C2×#11761611C2311yescharacteristic
251C2×#11761611C2311yescharacteristic, complemented
252M16×D67—42no—
253C2×C8×D67C2311yescharacteristic
254C2×C8×D67C2311yescharacteristic
255C2×C8×D67C2311yescharacteristic
256C2×C8×D67C2311yescharacteristic
257C2×C8×D67C2311yescharacteristic, complemented
258#14524042C2311yescharacteristic, complemented
259#14524041—21no—
260#14524040C2311yescharacteristic
261#14524039—21no—
262#14524039—21no—
263#14524039C2311yescharacteristic
264#14524038—21no—
265#14524037—21no—
266#14524036—21no—
267#14524036—21no—
268#14524035C2311yescharacteristic, complemented
269#14524034C2311yescharacteristic, complemented
270#14524033—21no—
271#14524032C2311yescharacteristic
272#14524031—21no—
273#14524029—21no—
274#14524029—21no—
275#14524029—21no—
276#14524028—21no—
277#14524028—21no—
278#14524028—21no—
279#14524028—21no—
280#14524028D411yescharacteristic
281#14524026—21no—
282#14524026—21no—
283#14524025—21no—
284#14524025—21no—
285#14524025—21no—
286#14524025—21no—
287#14524025D411yescharacteristic
288#14524024—21no—
289#14524024—21no—
290#14524021—21no—
291#14524021D411yescharacteristic
292#14524020—21no—
293#14524020D411yescharacteristic
294#14524019—21no—
295#14524019—21no—
296#14524019C2311yescharacteristic
297#14524018—21no—
298#14524018—21no—
299#14524018C2311yescharacteristic
300#14524018C2311yescharacteristic
301#14524018C2311yescharacteristic
302#14524018C2311yescharacteristic, complemented
303#14524017—21no—
304#14524017C2311yescharacteristic
305#14524017C2311yescharacteristic
306#14524017C2311yescharacteristic
307#14524017C2311yescharacteristic, complemented
308#14524016—21no—
309#14524016—21no—
310#14524016—21no—
311#14524016—21no—
312#14524016—21no—
313#14524016—21no—
314#14524016—21no—
315#14524016—21no—
316#14524016D411yescharacteristic
317#14524015—21no—
318#14524015—21no—
319#14524015—21no—
320#14524015—21no—
321#14524015D411yescharacteristic
322#14524014—21no—
323#14524014C2311yescharacteristic
324#14524014C2311yescharacteristic
325#14524014C2311yescharacteristic, complemented
326#14524013—21no—
327#14524013—21no—
328#14524013—21no—
329#14524013—21no—
330#14524013—21no—
331#14524013—21no—
332#14524013—21no—
333#14524013—21no—
334#14524013—21no—
335#14524013—21no—
336#14524013—21no—
337#14524013—21no—
338#14524013D411yescharacteristic
339#14524012—21no—
340#14524011—21no—
341#14524011—21no—
342#14524011—21no—
343#14524011—21no—
344#14524011—21no—
345#14524011D411yescharacteristic
346C4×Dic134—21no—
347C4×D268—21no—
348C4×D268—21no—
349C4×D268C2311yescharacteristic
350C4×D268C2311yescharacteristic
351C4×D268C2311yescharacteristic, complemented
352D4×Dic67C2311yescharacteristic
353D4×Dic67C2311yescharacteristic, complemented
354#14524005—21no—
355#14524005C2311yescharacteristic
356#14524005C2311yescharacteristic, complemented
357C4×C22⋊D67—21no—
358C4×C22⋊D67—21no—
359C4×C22⋊D67—21no—
360C4×C22⋊D67C2311yescharacteristic
361C4×C22⋊D67C2311yescharacteristic
362(C22⋊D67)⋊C4—21no—
363(C22⋊D67)⋊C4—21no—
364(C22⋊D67)⋊C4—21no—
365(C22⋊D67)⋊C4—21no—
366(C22⋊D67)⋊C4—21no—
367(C22⋊D67)⋊C4—21no—
368(C22⋊D67)⋊C4—21no—
369#14524002C2311yescharacteristic
370#14524001C2311yescharacteristic
371#14524001C2311yescharacteristic
372#14524001C2311yescharacteristic
373#14524001C2311yescharacteristic, complemented
374#14524000—21no—
375#14524000—21no—
376#14524000C2311yescharacteristic
377#14523999—21no—
378C2×C4⋊Dic67C2311yescharacteristic, complemented
379C4⋊C4×D67C2311yescharacteristic
380C4⋊C4×D67C2311yescharacteristic
381C4⋊C4×D67C2311yescharacteristic
382C4⋊C4×D67C2311yescharacteristic, complemented
383C2×(C2×D67)⋊C4—21no—
384C2×(C2×D67)⋊C4—21no—
385C2×(C2×D67)⋊C4—21no—
386C22⋊C4×D67—21no—
387C22⋊C4×D67—21no—
388C22⋊C4×D67—21no—
389C22⋊C4×D67—21no—
390C22⋊C4×D67—21no—
391C22⋊C4×D67—21no—
392C42×D67—21no—
393#14523977C2311yescharacteristic, complemented
394#14523976C2311yescharacteristic, complemented
395#14523976C2311yescharacteristic, complemented
396#14523976C2311yescharacteristic, complemented
397#14523975C2311yescharacteristic, complemented
398#14523975C2311yescharacteristic, complemented
399#14523974C2311yescharacteristic, complemented
400#14523974C2311yescharacteristic, complemented
401#14523974C2311yescharacteristic, complemented
402C4⋊(C67⋊C8)C2311yescharacteristic, complemented
403Dic67⋊C8C2311yescharacteristic, complemented
404Dic67⋊C8C2311yescharacteristic, complemented
405#14523967C2311yescharacteristic, complemented
406#14523967C2311yescharacteristic, complemented
407#14523967C2311yescharacteristic, complemented
408#14523965C2311yescharacteristic
409#14523965C2311yescharacteristic
410#14523965C2311yescharacteristic
411#14523965C2311yescharacteristic
412#14523965C2311yescharacteristic
413#14523965C2311yescharacteristic
414#14523965C2311yescharacteristic, complemented
415#14523965C2311yescharacteristic, complemented
416#14523965C2311yescharacteristic, complemented
417#14523965C2311yescharacteristic, complemented
418#14523964C2311yescharacteristic
419#14523964C2311yescharacteristic
420#14523964C2311yescharacteristic
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic, complemented
425#14523963C2311yescharacteristic
426#14523963C2311yescharacteristic
427#14523963C2311yescharacteristic
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic, complemented
432#14523963C2311yescharacteristic, complemented
433#14523963C2311yescharacteristic, complemented
434#14523963C2311yescharacteristic, complemented
435C22⋊(C67⋊C8)C2311yescharacteristic
436C22⋊(C67⋊C8)C2311yescharacteristic, complemented
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic, complemented
440(C2×D67)⋊C8C2311yescharacteristic, complemented
441#14523953C2311yescharacteristic, complemented
442C4×C67⋊C8C2311yescharacteristic, complemented
443C8×Dic67C2311yescharacteristic, complemented
444C2×#41×C67C2311yescharacteristic
445C22×D4×C67C2311yescharacteristic
446C2×SD16×C67C2311yescharacteristic, complemented
447C2×D8×C67C2311yescharacteristic
448C2×D8×C67C2311yescharacteristic
449C2×M16×C67C2311yescharacteristic
450C22×C8×C67C2311yescharacteristic, complemented
451C4⋊Q8×C67C2311yescharacteristic, complemented
452#124×C67—21no—
453#124×C67—21no—
454#124×C67C2311yescharacteristic
455#123×C67—21no—
456C22⋊Q8×C67C2311yescharacteristic
457#121×C67—21no—
458#121×C67—21no—
459#121×C67C2311yescharacteristic
460#121×C67C2311yescharacteristic
461#121×C67C2311yescharacteristic, complemented
462#120×C67—21no—
463C4×D4×C67C2311yescharacteristic
464C4×D4×C67C2311yescharacteristic
465C4×D4×C67C2311yescharacteristic, complemented
466#117×C67—21no—
467#117×C67C2311yescharacteristic
468#117×C67C2311yescharacteristic, complemented
469C2×C22⋊C4×C67—21no—
470#107×C67C2311yescharacteristic, complemented
471#107×C67C2311yescharacteristic, complemented
472#106×C67C2311yescharacteristic, complemented
473C4⋊C8×C67C2311yescharacteristic, complemented
474#103×C67C2311yescharacteristic, complemented
475#103×C67C2311yescharacteristic, complemented
476#103×C67C2311yescharacteristic, complemented
477#102×C67C2311yescharacteristic
478#102×C67C2311yescharacteristic
479#102×C67C2311yescharacteristic
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
483#102×C67C2311yescharacteristic, complemented
484C22⋊C8×C67C2311yescharacteristic
485C22⋊C8×C67C2311yescharacteristic, complemented
486#97×C67C2311yescharacteristic, complemented
487C23×D67—21no—
488C23×D67—21no—
489C23×D67—21no—
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—21no—
495C23×D67—44no—
496C23×D67—82no—
497C23×D67—82no—
498C23×D67C2×D411yescharacteristic
499#11761629—22no—
500#11761629—22no—
501#11761629—22no—
502#11761629—41no—
503#11761629—82no—
504#11761628—22no—
505#11761628—22no—
506#11761628—44no—
507#11761627—82no—
508C2×Dic134—21no—
509C2×Dic134C2×D411yescharacteristic
510C2×D268—22no—
511C2×D268—22no—
512C2×D268—21no—
513C2×D268—21no—
514C2×D268—21no—
515C2×D268—21no—
516C2×D268—21no—
517C2×D268—21no—
518C2×D268—21no—
519C2×D268—21no—
520C2×D268—21no—
521C2×D268—21no—
522C2×D268—41no—
523C2×D268—41no—
524C2×D268—44no—
525C2×D268—82no—
526C2×D268C2×D411yescharacteristic
527C2×D268C2×D411yescharacteristic
528C2×D268C2411yescharacteristic
529C2×D268C2411yescharacteristic
530C2×D268C2411yescharacteristic
531C2×D268C2411yescharacteristic
532C2×C22⋊D67—21no—
533C2×C22⋊D67—21no—
534C2×C22⋊D67—21no—
535C2×C22⋊D67—21no—
536C2×C22⋊D67—21no—
537C2×C22⋊D67—21no—
538C2×C22⋊D67—21no—
539C2×C22⋊D67—21no—
540C2×C22⋊D67—21no—
541C2×C22⋊D67—21no—
542C2×C22⋊D67—21no—
543C2×C22⋊D67—21no—
544C2×C22⋊D67—21no—
545C2×C22⋊D67—21no—
546C2×C22⋊D67—21no—
547C2×C22⋊D67—44no—
548C2×C22⋊D67—82no—
549C2×C22⋊D67C2×D411yescharacteristic
550C2×C22⋊D67C2×D411yescharacteristic
551C2×C22⋊D67C2×D411yescharacteristic
552C2×C22⋊D67C2×D411yescharacteristic
553D4×D67—22no—
554D4×D67—22no—
555D4×D67—22no—
556D4×D67—22no—
557D4×D67—22no—
558D4×D67—22no—
559D4×D67—22no—
560D4×D67—22no—
561D4×D67—41no—
562D4×D67—41no—
563D4×D67—41no—
564D4×D67—44no—
565D4×D67—44no—
566D4×D67—44no—
567D4×D67—44no—
568D4×D67—82no—
569D4×D67—82no—
570D4×D67—82no—
571D4×D67#4114yescomplemented
572C22×Dic67—21no—
573C22×Dic67—21no—
574C22×Dic67—21no—
575C22×Dic67C2×D411yescharacteristic
576C2×C4×D67—22no—
577C2×C4×D67—22no—
578C2×C4×D67—21no—
579C2×C4×D67—21no—
580C2×C4×D67—21no—
581C2×C4×D67—21no—
582C2×C4×D67—21no—
583C2×C4×D67—21no—
584C2×C4×D67—21no—
585C2×C4×D67—21no—
586C2×C4×D67—21no—
587C2×C4×D67—21no—
588C2×C4×D67C2×D411yescharacteristic
589C2×C4×D67C2×D411yescharacteristic
590C2×C4×D67C2411yescharacteristic
591C2×C4×D67C2411yescharacteristic
592C2×C4×D67C2411yescharacteristic
593#11761615—41no—
594D536—22no—
595D536—41no—
596D536—41no—
597#11761613—22no—
598#11761613—22no—
599#11761613—41no—
600#11761613—41no—
601#11761613—41no—
602#11761612—41no—
603#11761612—41no—
604#11761611—22no—
605#11761611—22no—
606#11761611—41no—
607C2×C67⋊C8C2411yescharacteristic
608C2×C67⋊C8C2411yescharacteristic
609C2×C67⋊C8C2411yescharacteristic
610C2×C67⋊C8C2411yescharacteristic
611C8×D67—22no—
612C8×D67—22no—
613C8×D67—41no—
614C8×D67—41no—
615C8×D67—41no—
616C4⋊Dic67—21no—
617C4⋊Dic67—21no—
618C4⋊Dic67C2×D411yescharacteristic
619C4⋊Dic67C2411yescharacteristic
620C4⋊Dic67C2411yescharacteristic
621C4⋊Dic67C2411yescharacteristic
622C4⋊Dic67C2411yescharacteristic
623Dic67⋊C4—21no—
624Dic67⋊C4—21no—
625Dic67⋊C4—21no—
626Dic67⋊C4—21no—
627Dic67⋊C4—21no—
628Dic67⋊C4—21no—
629Dic67⋊C4—21no—
630Dic67⋊C4—21no—
631Dic67⋊C4—21no—
632Dic67⋊C4C2×D411yescharacteristic
633Dic67⋊C4C2×D411yescharacteristic
634Dic67⋊C4C2×D411yescharacteristic
635Dic67⋊C4C2×D411yescharacteristic
636C22⋊Dic67—21no—
637C22⋊Dic67—21no—
638C22⋊Dic67—21no—
639C22⋊Dic67—21no—
640C22⋊Dic67—21no—
641C22⋊Dic67—21no—
642C22⋊Dic67C2×D411yescharacteristic
643C22⋊Dic67C2×D411yescharacteristic
644(C2×D67)⋊C4—21no—
645(C2×D67)⋊C4—21no—
646(C2×D67)⋊C4—21no—
647(C2×D67)⋊C4—21no—
648(C2×D67)⋊C4—21no—
649(C2×D67)⋊C4—21no—
650(C2×D67)⋊C4—21no—
651(C2×D67)⋊C4—21no—
652(C2×D67)⋊C4—21no—
653(C2×D67)⋊C4—21no—
654(C2×D67)⋊C4—21no—
655(C2×D67)⋊C4—21no—
656(C2×D67)⋊C4—21no—
657(C2×D67)⋊C4—21no—
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4—21no—
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4—21no—
663(C2×D67)⋊C4C2×D411yescharacteristic
664(C2×D67)⋊C4C2×D411yescharacteristic
665(C2×D67)⋊C4C2×D411yescharacteristic
666(C2×D67)⋊C4C2×D411yescharacteristic
667(C2×D67)⋊C4C2×D411yescharacteristic
668(C2×D67)⋊C4C2×D411yescharacteristic
669C4×Dic67—21no—
670C4×Dic67—21no—
671C4×Dic67—21no—
672C4×Dic67—21no—
673C4×Dic67—21no—
674C4×Dic67C2411yescharacteristic
675C24×C67—21no—
676#41×C67—22no—
677#41×C67—41no—
678C2×Q8×C67—21no—
679C2×Q8×C67C2411yescharacteristic
680C2×D4×C67—22no—
681C2×D4×C67—21no—
682C2×D4×C67—21no—
683C2×D4×C67—21no—
684C2×D4×C67—21no—
685C2×D4×C67—21no—
686C2×D4×C67—41no—
687C2×D4×C67C2×D411yescharacteristic
688C2×D4×C67C2411yescharacteristic
689C2×D4×C67C2411yescharacteristic
690C2×D4×C67C2411yescharacteristic
691C22×C4×C67—21no—
692C22×C4×C67—21no—
693C22×C4×C67—21no—
694C22×C4×C67C2411yescharacteristic
695C22×C4×C67C2411yescharacteristic
696SD16×C67—41no—
697D8×C67—22no—
698D8×C67—41no—
699M16×C67—41no—
700C2×C8×C67—41no—
701C2×C8×C67C2411yescharacteristic
702C2×C8×C67C2411yescharacteristic
703C2×C8×C67C2411yescharacteristic
704C2×C8×C67C2411yescharacteristic
705C4⋊C4×C67—21no—
706C4⋊C4×C67—21no—
707C4⋊C4×C67C2×D411yescharacteristic
708C4⋊C4×C67C2411yescharacteristic
709C4⋊C4×C67C2411yescharacteristic
710C4⋊C4×C67C2411yescharacteristic
711C4⋊C4×C67C2411yescharacteristic
712C22⋊C4×C67—21no—
713C22⋊C4×C67—21no—
714C22⋊C4×C67—21no—
715C22⋊C4×C67—21no—
716C22⋊C4×C67—21no—
717C22⋊C4×C67—21no—
718C22⋊C4×C67—21no—
719C22⋊C4×C67—21no—
720C22⋊C4×C67—21no—
721C22⋊C4×C67—21no—
722C22⋊C4×C67C2×D411yescharacteristic
723C22⋊C4×C67C2×D411yescharacteristic
724C42×C67—21no—
725C42×C67—21no—
726C42×C67C2411yescharacteristic
727C23×C67—21no—
728C23×C67—21no—
729C23×C67—21no—
730C23×C67—42no—
731C23×C67—42no—
732C23×C67—81no—
733C23×C67C22×D411yescharacteristic
734C23×C67C22×D411yescharacteristic
735C22×D67—21no—
736C22×D67—22no—
737C22×D67—22no—
738C22×D67—24no—
739C22×D67—21no—
740C22×D67—21no—
741C22×D67—21no—
742C22×D67—41no—
743C22×D67—42no—
744C22×D67—42no—
745C22×D67—42no—
746C22×D67—42no—
747C22×D67—42no—
748C22×D67—42no—
749C22×D67—42no—
750C22×D67—42no—
751C22×D67—42no—
752C22×D67—42no—
753C22×D67—81no—
754C22×D67—81no—
755C22×D67—81no—
756C22×D67—81no—
757C22×D67—81no—
758C22×D67—81no—
759C22×D67—81no—
760C22×D67—81no—
761C22×D67—81no—
762C22×D67—81no—
763C22×D67—81no—
764C22×D67—81no—
765C22×D67—81no—
766C22×D67—816no—
767C22×D67C22×D411yescharacteristic
768C22×D67C22×D411yescharacteristic
769C22×D67C22×D411yescharacteristic
770Q8×C67—21no—
771Q8×C67—21no—
772Q8×C67—81no—
773D4×C67—21no—
774D4×C67—21no—
775D4×C67—21no—
776D4×C67—21no—
777D4×C67—21no—
778D4×C67—41no—
779D4×C67—42no—
780D4×C67—42no—
781D4×C67—81no—
782D4×C67—81no—
783D4×C67—81no—
784D4×C67C2×#4112yes—
785C2×C4×C67—21no—
786C2×C4×C67—21no—
787C2×C4×C67—21no—
788C2×C4×C67—21no—
789C2×C4×C67—21no—
790C2×C4×C67—21no—
791C2×C4×C67—21no—
792C2×C4×C67—21no—
793C2×C4×C67—21no—
794C2×C4×C67—42no—
795C2×C4×C67—81no—
796C2×C4×C67—81no—
797C2×C4×C67C22×D411yescharacteristic
798C2×C4×C67C22×D411yescharacteristic
799C2×C4×C67C22×D411yescharacteristic
800C2×C4×C67C22×D411yescharacteristic
801C2×C4×C67C2511yescharacteristic
802C22⋊D67—22no—
803C22⋊D67—22no—
804C22⋊D67—24no—
805C22⋊D67—22no—
806C22⋊D67—41no—
807C22⋊D67—42no—
808C22⋊D67—42no—
809C22⋊D67—42no—
810C22⋊D67—42no—
811C22⋊D67—42no—
812C22⋊D67—42no—
813C22⋊D67—42no—
814C22⋊D67—81no—
815C22⋊D67—81no—
816C22⋊D67—81no—
817C22⋊D67—81no—
818C22⋊D67—81no—
819C22⋊D67—81no—
820C22⋊D67—81no—
821C2×Dic67—22no—
822C2×Dic67—21no—
823C2×Dic67—21no—
824C2×Dic67—21no—
825C2×Dic67—21no—
826C2×Dic67—81no—
827C2×Dic67—81no—
828C2×Dic67—81no—
829C2×Dic67C22×D411yescharacteristic
830C2×Dic67C22×D411yescharacteristic
831C2×Dic67C22×D411yescharacteristic
832C2×Dic67C22×D411yescharacteristic
833C2×Dic67C22×D411yescharacteristic
834D268—22no—
835D268—22no—
836D268—21no—
837D268—21no—
838D268—21no—
839D268—21no—
840D268—21no—
841D268—21no—
842D268—21no—
843D268—42no—
844D268—42no—
845D268—42no—
846D268—42no—
847D268—42no—
848D268—42no—
849D268—81no—
850D268—81no—
851D268—81no—
852D268—81no—
853D268C2×#4112yes—
854C4×D67—22no—
855C4×D67—21no—
856C4×D67—21no—
857C4×D67—21no—
858C4×D67—21no—
859C4×D67—22no—
860C4×D67—42no—
861C4×D67—42no—
862C4×D67—42no—
863C4×D67—81no—
864C4×D67—81no—
865C4×D67—81no—
866C4×D67—81no—
867C4×D67—81no—
868C4×D67—81no—
869C4×D67—81no—
870C4×D67C2×#4112yes—
871C4×D67H(5,𝔽2)12yes—
872Dic134—22no—
873Dic134—81no—
874C8×C67—21no—
875C8×C67—21no—
876C8×C67—21no—
877C8×C67—21no—
878C67⋊C8—21no—
879C67⋊C8—21no—
880C67⋊C8—21no—
881C67⋊C8—21no—
882C22×C67—21no—
883C22×C67—21no—
884C22×C67—21no—
885C22×C67—21no—
886C22×C67—22no—
887C22×C67—21no—
888C22×C67—21no—
889C22×C67—41no—
890C22×C67—41no—
891C22×C67—41no—
892C22×C67—41no—
893C22×C67—41no—
894C22×C67—41no—
895C22×C67—41no—
896C22×C67—41no—
897C22×C67—84no—
898C22×C67C23×D411yescharacteristic
899C2×D67—21no—
900C2×D67—21no—
901C2×D67—21no—
902C2×D67—21no—
903C2×D67—21no—
904C2×D67—21no—
905C2×D67—22no—
906C2×D67—21no—
907C2×D67—44no—
908C2×D67—41no—
909C2×D67—41no—
910C2×D67—41no—
911C2×D67—41no—
912C2×D67—41no—
913C2×D67—41no—
914C2×D67—41no—
915C2×D67—41no—
916C2×D67—41no—
917C2×D67—41no—
918C2×D67—41no—
919C2×D67—84no—
920C2×D67—84no—
921C2×D67—84no—
922C2×D67—84no—
923C2×D67—84no—
924C2×D67—162no—
925C2×D67—162no—
926C2×D67—162no—
927C2×D67#54612yes—
928C2×D67#57612yes—
929C4×C67—21no—
930C4×C67—21no—
931C4×C67—21no—
932C4×C67—21no—
933C4×C67—41no—
934C4×C67—41no—
935C4×C67—41no—
936C4×C67—41no—
937C4×C67—41no—
938C4×C67C22×#4111yescharacteristic
939C4×C67C2×H(5,𝔽2)11yescharacteristic
940Dic67—21no—
941Dic67—21no—
942Dic67—21no—
943Dic67—21no—
944Dic67—41no—
945Dic67—41no—
946Dic67—41no—
947Dic67—41no—
948Dic67#54612yes—
949#61183—671nomaximal, Sylow
950C2×C67—41no—
951C2×C67—42no—
952C2×C67—41no—
953C2×C67—81no—
954C2×C67—81no—
955C2×C67C2×#54611yescharacteristic
956C2×C67C2×#57611yescharacteristic
957C2×C67#358511yescharacteristic
958D67—22no—
959D67—22no—
960D67—41no—
961D67—42no—
962D67—81no—
963D67—81no—
964D67—81no—
965#3494—671no—
966#3484—671no—
967#3325—671no—
968#3325—671no—
969#3322—671no—
970#3322—671no—
971#3319—671no—
972#3319D6711yescharacteristic, complemented
973#3318—671no—
974#3318—671no—
975#3318—671no—
976#3318—671no—
977#3306—671no—
978#3306—671no—
979#3297—671no—
980#3297—671no—
981#3294—671no—
982#3294—671no—
983#3136—671no—
984#3096—671no—
985#3091—671no—
986#3081—671no—
987#3058—671no—
988#3055—671no—
989#3041—671no—
990#3008—671no—
991C2×#447—671no—
992#2948—671no—
993#2933—671no—
994#2897—671no—
995C2×#418—671no—
996C67#6118311yescharacteristic, complemented, Sylow
997C2×H(5,𝔽2)—671no—
998C23×D4—671no—
999C2×AGL(1,ℤ/8)—671no—
1000C22×D8—671no—
1001C22×D8—671no—
1002C2×#131—671no—
1003C22×M16—671no—
1004#555—671no—
1005#555C2×D6711yescharacteristic, complemented
1006#553—671no—
1007#553—671no—
1008#553—671no—
1009#553—671no—
1010#551—1341no—
1011#551—1341no—
1012#547—671no—
1013#547—671no—
1014#546—671no—
1015#546—671no—
1016#546—671no—
1017#546—1341no—
1018#546—1341no—
1019#546—1341no—
1020#546—1341no—
1021#546C2×D6711yescharacteristic, complemented
1022D42—671no—
1023D42—671no—
1024D42—671no—
1025D42—671no—
1026D42—1341no—
1027D42—1341no—
1028#544—671no—
1029#542—1341no—
1030#540—1341no—
1031#535—671no—
1032#535—671no—
1033#535—671no—
1034#534—1341no—
1035#534—1341no—
1036#532—1341no—
1037#529—1341no—
1038#525—671no—
1039#525—671no—
1040C2×#121—671no—
1041C2×#120—1341no—
1042C2×#120—1341no—
1043#520—671no—
1044#518—671no—
1045#518—671no—
1046C2×#117—671no—
1047#490—671no—
1048#490—671no—
1049#489—671no—
1050#489C2×D6711yescharacteristic, complemented
1051#488—671no—
1052#488—671no—
1053#486—671no—
1054#486—671no—
1055#485—671no—
1056#485C2×D6711yescharacteristic, complemented
1057#484—671no—
1058#483—671no—
1059#482—671no—
1060#482—671no—
1061#482—671no—
1062#482—671no—
1063#482—671no—
1064#482C2×D6711yescharacteristic, complemented
1065#481—671no—
1066#481—671no—
1067#481—671no—
1068#480—671no—
1069#480—671no—
1070#480—671no—
1071#478—671no—
1072#478—671no—
1073#478—671no—
1074#478—671no—
1075#476—671no—
1076#476—671no—
1077#474—671no—
1078#474C2×D6711yescharacteristic, complemented
1079#469—671no—
1080#469—671no—
1081#469—671no—
1082#469—671no—
1083#469—671no—
1084#469—671no—
1085#468—671no—
1086#468C2×D6711yescharacteristic, complemented
1087#466—671no—
1088#466—671no—
1089#466—671no—
1090#466—671no—
1091#466—671no—
1092#466C2×D6711yescharacteristic, complemented
1093#465—671no—
1094#465—671no—
1095#463—671no—
1096#463—671no—
1097#463—671no—
1098#463C2×D6711yescharacteristic, complemented
1099#459—671no—
1100#459—671no—
1101#459—671no—
1102#459—671no—
1103#449—671no—
1104#449—671no—
1105#449—671no—
1106#449C2×D6711yescharacteristic, complemented
1107#447—671no—
1108#447—671no—
1109#447—671no—
1110#447—671no—
1111#447—671no—
1112#447—671no—
1113#447—671no—
1114#447—671no—
1115#447—671no—
1116#447—671no—
1117#447—671no—
1118#447C2×D6711yescharacteristic, complemented
1119#442—671no—
1120#442—671no—
1121#442—671no—
1122#442C2×D6711yescharacteristic, complemented
1123C4×D8—671no—
1124C4×D8—671no—
1125C4×D8—671no—
1126C4×D8—671no—
1127#436—671no—
1128#436—671no—
1129#435—671no—
1130#435—671no—
1131#435—671no—
1132#435C2×D6711yescharacteristic, complemented
1133C8×D4—671no—
1134C8×D4—671no—
1135#428—671no—
1136#427—671no—
1137#427—671no—
1138#424—671no—
1139#418—671no—
1140#418—671no—
1141#418—671no—
1142#418—671no—
1143#418—671no—
1144#418—671no—
1145#418—671no—
1146#418—671no—
1147#418—671no—
1148#418—671no—
1149#418C2×D6711yescharacteristic, complemented
1150#417—671no—
1151#417—671no—
1152#417—671no—
1153#416—671no—
1154#416—671no—
1155#416—671no—
1156#416C2×D6711yescharacteristic, complemented
1157C2×#102—671no—
1158C2×#102—671no—
1159C2×#102—671no—
1160C2×#102—671no—
1161C2×#102—671no—
1162C2×#102—671no—
1163C2×#102—671no—
1164C2×#102—671no—
1165#408—671no—
1166C2×C22⋊C8—671no—
1167#405—671no—
1168C25—1341no—
1169H(5,𝔽2)—2682no—
1170H(5,𝔽2)—1344no—
1171C2×#41—671no—
1172C2×#41—671no—
1173C2×#41—671no—
1174C2×#41—1341no—
1175C2×#41—1341no—
1176C2×#41—1341no—
1177C2×#41C22×D6711yescharacteristic
1178C22×D4—2682no—
1179C22×D4—671no—
1180C22×D4—671no—
1181C22×D4—671no—
1182C22×D4—671no—
1183C22×D4—671no—
1184C22×D4—671no—
1185C22×D4—671no—
1186C22×D4—671no—
1187C22×D4—1341no—
1188C22×D4—1341no—
1189C22×D4—1341no—
1190C22×D4—1341no—
1191C22×D4—1341no—
1192C22×D4—1341no—
1193C22×D4—1341no—
1194C22×D4—1344no—
1195C22×D4—1341no—
1196C22×D4—1341no—
1197C22×D4—1341no—
1198C22×D4—1341no—
1199C22×D4C22×D6711yescharacteristic
1200C23×C4—671no—
1201AGL(1,ℤ/8)—2682no—
1202C2×SD16—671no—
1203C2×SD16C22×D6711yescharacteristic, complemented
1204C2×D8—2682no—
1205C2×D8—671no—
1206C2×D8—671no—
1207C2×D8—671no—
1208C2×D8—671no—
1209C2×D8—671no—
1210C2×D8—671no—
1211C2×D8—671no—
1212C2×D8—671no—
1213C2×D8—1344no—
1214C2×D8C22×D6711yescharacteristic
1215C2×D8C22×D6711yescharacteristic
1216#131—2682no—
1217C2×M16—2682no—
1218C2×M16—671no—
1219C2×M16—671no—
1220C2×M16—671no—
1221C2×M16—671no—
1222C2×M16—671no—
1223C2×M16C22×D6711yescharacteristic
1224C22×C8—671no—
1225C22×C8—671no—
1226C22×C8—671no—
1227C22×C8—671no—
1228C22×C8—671no—
1229C22×C8C22×D6711yescharacteristic, complemented
1230C4⋊Q8—671no—
1231C4⋊Q8—1341no—
1232C4⋊Q8C22×D6711yescharacteristic, complemented
1233#127—671no—
1234#127—671no—
1235#127—1341no—
1236#127—1341no—
1237#126—1341no—
1238#126—1341no—
1239#126—1341no—
1240#126—1341no—
1241#125—671no—
1242#125—671no—
1243#125—1341no—
1244#124—21no—
1245#124—21no—
1246#124—671no—
1247#124—1341no—
1248#124—1341no—
1249#124—1341no—
1250#124—1341no—
1251#124C22×D6711yescharacteristic
1252#123—21no—
1253#123—671no—
1254#123—671no—
1255#123—1341no—
1256#123—1341no—
1257#123—1341no—
1258#123—1341no—
1259#123—1341no—
1260#123—1341no—
1261#123—1341no—
1262#123—1341no—
1263#123—1341no—
1264#123—1341no—
1265#123—1341no—
1266#123—1341no—
1267C22⋊Q8—671no—
1268C22⋊Q8—671no—
1269C22⋊Q8—671no—
1270C22⋊Q8—1341no—
1271C22⋊Q8—1341no—
1272C22⋊Q8—1341no—
1273C22⋊Q8—1341no—
1274C22⋊Q8C22×D6711yescharacteristic
1275#121—21no—
1276#121—21no—
1277#121—671no—
1278#121—671no—
1279#121—671no—
1280#121—671no—
1281#121—671no—
1282#121—671no—
1283#121—671no—
1284#121—671no—
1285#121—671no—
1286#121—671no—
1287#121—671no—
1288#121—671no—
1289#121—671no—
1290#121—1341no—
1291#121—1341no—
1292#121—1341no—
1293#121—1341no—
1294#121—1341no—
1295#121—1341no—
1296#121—1341no—
1297#121—1341no—
1298#121—1341no—
1299#121—1341no—
1300#121—1341no—
1301#121—1341no—
1302#121—1341no—
1303#121—1341no—
1304#121—1341no—
1305#121—1341no—
1306#121C22×D6711yescharacteristic
1307#121C22×D6711yescharacteristic
1308#121C22×D6711yescharacteristic, complemented
1309#120—21no—
1310#120—671no—
1311#120—671no—
1312#120—1341no—
1313#120—1341no—
1314#120—1341no—
1315#120—1341no—
1316#120—1341no—
1317#120—1341no—
1318#120—1341no—
1319#120—1341no—
1320#120—1341no—
1321#120—1341no—
1322#120—1341no—
1323#120—1341no—
1324#120—1341no—
1325#120—1341no—
1326#120—1341no—
1327#120—1341no—
1328#120—1341no—
1329#120—1341no—
1330C4×Q8—1341no—
1331C4×D4—671no—
1332C4×D4—671no—
1333C4×D4—671no—
1334C4×D4—671no—
1335C4×D4—671no—
1336C4×D4—671no—
1337C4×D4—671no—
1338C4×D4—671no—
1339C4×D4—671no—
1340C4×D4—1341no—
1341C4×D4—1341no—
1342C4×D4—1341no—
1343C4×D4—1341no—
1344C4×D4—1341no—
1345C4×D4—1341no—
1346C4×D4—1341no—
1347C4×D4—1341no—
1348C4×D4—1341no—
1349C4×D4—1341no—
1350C4×D4—1341no—
1351C4×D4—1341no—
1352C4×D4—1341no—
1353C4×D4C22×D6711yescharacteristic
1354C4×D4C22×D6711yescharacteristic
1355C4×D4C22×D6711yescharacteristic, complemented
1356#117—21no—
1357#117—671no—
1358#117—671no—
1359#117—671no—
1360#117—671no—
1361#117—671no—
1362#117—671no—
1363#117—1341no—
1364#117—1341no—
1365#117—1341no—
1366#117C22×D6711yescharacteristic
1367#117C22×D6711yescharacteristic, complemented
1368C2×C4⋊C4—671no—
1369C2×C4⋊C4—671no—
1370C2×C4⋊C4—671no—
1371C2×C4⋊C4—671no—
1372C2×C4⋊C4—671no—
1373C2×C22⋊C4—21no—
1374C2×C22⋊C4—1341no—
1375C2×C22⋊C4—1341no—
1376C2×C22⋊C4—1341no—
1377C2×C22⋊C4—1341no—
1378C2×C22⋊C4—1341no—
1379C2×C22⋊C4—1341no—
1380C2×C22⋊C4—1341no—
1381C2×C22⋊C4—1341no—
1382C2×C22⋊C4—1341no—
1383C2×C42—1341no—
1384#107—671no—
1385#107—671no—
1386#107—671no—
1387#107—671no—
1388#107C22×D6711yescharacteristic, complemented
1389#107C22×D6711yescharacteristic, complemented
1390#106—671no—
1391#106—671no—
1392#106—671no—
1393#106—671no—
1394#106—671no—
1395#106C22×D6711yescharacteristic, complemented
1396C4⋊C8—671no—
1397C4⋊C8—671no—
1398C4⋊C8—671no—
1399C4⋊C8C22×D6711yescharacteristic, complemented
1400#103—671no—
1401#103—671no—
1402#103—671no—
1403#103C22×D6711yescharacteristic, complemented
1404#103C22×D6711yescharacteristic, complemented
1405#103C22×D6711yescharacteristic, complemented
1406#102—671no—
1407#102—671no—
1408#102—671no—
1409#102—671no—
1410#102—671no—
1411#102—671no—
1412#102—671no—
1413#102—671no—
1414#102—671no—
1415#102—671no—
1416#102—671no—
1417#102—671no—
1418#102—671no—
1419#102—671no—
1420#102—671no—
1421#102—671no—
1422#102—671no—
1423#102—671no—
1424#102—671no—
1425#102—671no—
1426#102—671no—
1427#102—671no—
1428#102—671no—
1429#102—671no—
1430#102—671no—
1431#102—671no—
1432#102—671no—
1433#102C22×D6711yescharacteristic
1434#102C22×D6711yescharacteristic
1435#102C22×D6711yescharacteristic
1436#102C22×D6711yescharacteristic
1437#102C22×D6711yescharacteristic
1438#102C22×D6711yescharacteristic
1439#102C22×D6711yescharacteristic, complemented
1440C22⋊C8—671no—
1441C22⋊C8—671no—
1442C22⋊C8—671no—
1443C22⋊C8—671no—
1444C22⋊C8—671no—
1445C22⋊C8—671no—
1446C22⋊C8C22×D6711yescharacteristic
1447C22⋊C8C22×D6711yescharacteristic, complemented
1448#97—671no—
1449#97C22×D6711yescharacteristic, complemented
1450C4×C8—671no—
1451C4×C8—671no—
1452C24—21no—
1453C24—2684no—
1454C24—5362no—
1455C24—5362no—
1456C24—671no—
1457C24—1341no—
1458C24—1341no—
1459C24—1341no—
1460C24—1341no—
1461C24—1341no—
1462C24—1341no—
1463C24—1341no—
1464C24—1341no—
1465#41—22no—
1466#41—41no—
1467#41—2684no—
1468#41—2681no—
1469#41—5362no—
1470#41—5362no—
1471#41—1342no—
1472#41—1342no—
1473#41—1342no—
1474#41—1342no—
1475#41—1342no—
1476C2×Q8—21no—
1477C2×Q8—671no—
1478C2×Q8—1341no—
1479C2×Q8C23×D6711yescharacteristic
1480C2×D4—22no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—41no—
1487C2×D4—2681no—
1488C2×D4—2681no—
1489C2×D4—2684no—
1490C2×D4—2684no—
1491C2×D4—2684no—
1492C2×D4—2681no—
1493C2×D4—2681no—
1494C2×D4—2681no—
1495C2×D4—2684no—
1496C2×D4—2684no—
1497C2×D4—2684no—
1498C2×D4—5362no—
1499C2×D4—5362no—
1500C2×D4—5362no—
1501C2×D4—5362no—
1502C2×D4—5362no—
1503C2×D4—671no—
1504C2×D4—674no—
1505C2×D4—671no—
1506C2×D4—671no—
1507C2×D4—671no—
1508C2×D4—671no—
1509C2×D4—671no—
1510C2×D4—671no—
1511C2×D4—671no—
1512C2×D4—671no—
1513C2×D4—671no—
1514C2×D4—1341no—
1515C2×D4—1341no—
1516C2×D4—1341no—
1517C2×D4—1341no—
1518C2×D4—1342no—
1519C2×D4—1342no—
1520C2×D4—1341no—
1521C2×D4—1341no—
1522C2×D4—1342no—
1523C2×D4—1342no—
1524C2×D4—1342no—
1525C2×D4—1342no—
1526C2×D4—1342no—
1527C2×D4—1341no—
1528C2×D4—1341no—
1529C2×D4—1341no—
1530C2×D4—1341no—
1531C2×D4—1341no—
1532C2×D4—1341no—
1533C2×D4—1341no—
1534C2×D4—1341no—
1535C2×D4—1342no—
1536C2×D4—1341no—
1537C2×D4—1341no—
1538C2×D4—1342no—
1539C2×D4—1342no—
1540C2×D4—1341no—
1541C2×D4—1341no—
1542C2×D4—1341no—
1543C2×D4—1341no—
1544C2×D4—1341no—
1545C2×D4—1341no—
1546C2×D4—1341no—
1547C2×D4—1341no—
1548C2×D4—1341no—
1549C2×D4D4×D6711yescharacteristic
1550C2×D4C23×D6711yescharacteristic
1551C2×D4C23×D6711yescharacteristic
1552C2×D4C23×D6711yescharacteristic
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—671no—
1557C22×C4—671no—
1558C22×C4—671no—
1559C22×C4—671no—
1560C22×C4—671no—
1561C22×C4—671no—
1562C22×C4—1341no—
1563C22×C4—1341no—
1564C22×C4—1341no—
1565C22×C4—1341no—
1566C22×C4—1341no—
1567C22×C4—1341no—
1568C22×C4—1341no—
1569C22×C4—1341no—
1570C22×C4—1342no—
1571C22×C4—1342no—
1572C22×C4—1341no—
1573C22×C4—1341no—
1574C22×C4—1341no—
1575C22×C4—1341no—
1576C22×C4—1341no—
1577C22×C4C23×D6711yescharacteristic
1578C22×C4C23×D6711yescharacteristic
1579SD16—41no—
1580SD16—2681no—
1581D8—22no—
1582D8—41no—
1583D8—2681no—
1584D8—2681no—
1585D8—2681no—
1586D8—2681no—
1587D8—2681no—
1588D8—1342no—
1589D8—1342no—
1590D8—1342no—
1591M16—41no—
1592M16—2681no—
1593M16—2681no—
1594M16—2681no—
1595M16—1342no—
1596M16—1342no—
1597C2×C8—41no—
1598C2×C8—2681no—
1599C2×C8—2681no—
1600C2×C8—2681no—
1601C2×C8—671no—
1602C2×C8—671no—
1603C2×C8—671no—
1604C2×C8—671no—
1605C2×C8—1342no—
1606C2×C8—1342no—
1607C2×C8C23×D6711yescharacteristic
1608C2×C8C23×D6711yescharacteristic
1609C2×C8C23×D6711yescharacteristic
1610C2×C8C23×D6711yescharacteristic
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—671no—
1614C4⋊C4—671no—
1615C4⋊C4—671no—
1616C4⋊C4—671no—
1617C4⋊C4—671no—
1618C4⋊C4—671no—
1619C4⋊C4—671no—
1620C4⋊C4—671no—
1621C4⋊C4—671no—
1622C4⋊C4—1341no—
1623C4⋊C4—1341no—
1624C4⋊C4—1341no—
1625C4⋊C4—1341no—
1626C4⋊C4—1341no—
1627C4⋊C4—1341no—
1628C4⋊C4—1341no—
1629C4⋊C4—1341no—
1630C4⋊C4—1341no—
1631C4⋊C4—1341no—
1632C4⋊C4—1341no—
1633C4⋊C4D4×D6711yescharacteristic
1634C4⋊C4C23×D6711yescharacteristic
1635C4⋊C4C23×D6711yescharacteristic
1636C4⋊C4C23×D6711yescharacteristic
1637C4⋊C4C23×D6711yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—671no—
1649C22⋊C4—671no—
1650C22⋊C4—671no—
1651C22⋊C4—671no—
1652C22⋊C4—671no—
1653C22⋊C4—671no—
1654C22⋊C4—671no—
1655C22⋊C4—671no—
1656C22⋊C4—1341no—
1657C22⋊C4—1341no—
1658C22⋊C4—1341no—
1659C22⋊C4—1341no—
1660C22⋊C4—1341no—
1661C22⋊C4—1341no—
1662C22⋊C4—1341no—
1663C22⋊C4—1341no—
1664C22⋊C4—1341no—
1665C22⋊C4—1341no—
1666C22⋊C4—1341no—
1667C22⋊C4—1341no—
1668C22⋊C4—1341no—
1669C22⋊C4—1341no—
1670C22⋊C4—1341no—
1671C22⋊C4—1341no—
1672C22⋊C4—1341no—
1673C22⋊C4—1341no—
1674C22⋊C4—1341no—
1675C22⋊C4—1341no—
1676C22⋊C4—1341no—
1677C22⋊C4—1341no—
1678C22⋊C4—1341no—
1679C22⋊C4—1341no—
1680C22⋊C4—1341no—
1681C22⋊C4D4×D6711yescharacteristic
1682C22⋊C4D4×D6711yescharacteristic
1683C42—21no—
1684C42—21no—
1685C42—671no—
1686C42—1341no—
1687C42—1341no—
1688C42—1341no—
1689C42—1341no—
1690C42—1341no—
1691C42C23×D6711yescharacteristic
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—42no—
1696C23—42no—
1697C23—81no—
1698C23—2681no—
1699C23—2682no—
1700C23—2682no—
1701C23—2682no—
1702C23—2682no—
1703C23—2682no—
1704C23—2682no—
1705C23—2682no—
1706C23—2682no—
1707C23—2682no—
1708C23—2682no—
1709C23—5361no—
1710C23—5361no—
1711C23—5361no—
1712C23—5361no—
1713C23—5361no—
1714C23—5361no—
1715C23—5361no—
1716C23—5361no—
1717C23—5361no—
1718C23—5361no—
1719C23—5361no—
1720C23—5361no—
1721C23—5361no—
1722C23—53616no—
1723C23—671no—
1724C23—671no—
1725C23—671no—
1726C23—1342no—
1727C23—1342no—
1728C23—1344no—
1729C23—1341no—
1730C23—1341no—
1731C23—1341no—
1732C23—1341no—
1733C23C2×D4×D6711yescharacteristic
1734C23C2×D4×D6711yescharacteristic
1735Q8—21no—
1736Q8—21no—
1737Q8—81no—
1738Q8—5361no—
1739Q8—1342no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—41no—
1746D4—42no—
1747D4—42no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—2682no—
1752D4—2682no—
1753D4—2682no—
1754D4—2682no—
1755D4—2682no—
1756D4—2682no—
1757D4—2682no—
1758D4—2682no—
1759D4—2682no—
1760D4—2682no—
1761D4—2682no—
1762D4—2682no—
1763D4—2681no—
1764D4—2682no—
1765D4—5361no—
1766D4—5361no—
1767D4—5361no—
1768D4—5361no—
1769D4—5361no—
1770D4—5361no—
1771D4—5361no—
1772D4—5361no—
1773D4—5361no—
1774D4—5361no—
1775D4—5361no—
1776D4—672no—
1777D4—1342no—
1778D4—1342no—
1779D4—1344no—
1780D4—1342no—
1781D4—1342no—
1782D4—1342no—
1783D4—1341no—
1784D4—1341no—
1785D4—1341no—
1786D4—1341no—
1787D4—1341no—
1788D4—1341no—
1789D4—1341no—
1790D4#41×D6712yes—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—42no—
1801C2×C4—81no—
1802C2×C4—81no—
1803C2×C4—2682no—
1804C2×C4—2682no—
1805C2×C4—2682no—
1806C2×C4—5361no—
1807C2×C4—5361no—
1808C2×C4—5361no—
1809C2×C4—5361no—
1810C2×C4—5361no—
1811C2×C4—5361no—
1812C2×C4—5361no—
1813C2×C4—5361no—
1814C2×C4—5361no—
1815C2×C4—5361no—
1816C2×C4—671no—
1817C2×C4—672no—
1818C2×C4—672no—
1819C2×C4—671no—
1820C2×C4—671no—
1821C2×C4—671no—
1822C2×C4—671no—
1823C2×C4—1342no—
1824C2×C4—1342no—
1825C2×C4—1341no—
1826C2×C4—1341no—
1827C2×C4—1341no—
1828C2×C4—1341no—
1829C2×C4—1342no—
1830C2×C4—1341no—
1831C2×C4—1341no—
1832C2×C4—1341no—
1833C2×C4—1341no—
1834C2×C4C2×D4×D6711yescharacteristic
1835C2×C4C2×D4×D6711yescharacteristic
1836C2×C4C2×D4×D6711yescharacteristic
1837C2×C4C2×D4×D6711yescharacteristic
1838C2×C4C24×D6711yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—1341no—
1844C8—1341no—
1845C8—1341no—
1846C8—1341no—
1847C22—21no—
1848C22—21no—
1849C22—22no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—84no—
1863C22—2684no—
1864C22—2681no—
1865C22—2681no—
1866C22—2681no—
1867C22—2681no—
1868C22—2681no—
1869C22—2681no—
1870C22—2681no—
1871C22—2681no—
1872C22—2681no—
1873C22—2681no—
1874C22—2681no—
1875C22—5364no—
1876C22—5364no—
1877C22—5364no—
1878C22—5364no—
1879C22—5364no—
1880C22—10722no—
1881C22—10722no—
1882C22—10722no—
1883C22—672no—
1884C22—672no—
1885C22—1342no—
1886C22—1341no—
1887C22—1341no—
1888C22—1341no—
1889C22—1341no—
1890C22—1341no—
1891C22—1341no—
1892C22—1341no—
1893C22C22×D4×D6711yescharacteristic
1894C4—21no—
1895C4—21no—
1896C4—21no—
1897C4—21no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—2681no—
1904C4—2681no—
1905C4—2681no—
1906C4—2681no—
1907C4—672no—
1908C4—1341no—
1909C4—1341no—
1910C4—1341no—
1911C4—1341no—
1912C4C2×#41×D6711yescharacteristic
1913C4H(5,𝔽2)×D6711yescharacteristic
1914C2—41no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—2682no—
1920C2—2681no—
1921C2—5361no—
1922C2—5361no—
1923C2—5361no—
1924C2—1342no—
1925C2—1342no—
1926C2#546×D6711yescharacteristic
1927C2#576×D6711yescharacteristic
1928C2#2257498611yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3319C2
socleC22×C67C23×D4
hypercenter#3319D67
hypocenterC67#61183
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #22573943C2semidirect
2. #22573839C2semidirect
3. #22572447C2semidirect
4. #22572445C2semidirect
5. #22572416C2semidirect
6. #22572410C2semidirect
7. #22572368C2semidirect
8. #22572355C2semidirect
9. #22572353C2semidirect
10. #22572352C2semidirect
11. #22572343C2semidirect
12. #22572169C2semidirect
13. #22572163C2semidirect
14. #22572066C2semidirect
15. #22572060C2semidirect
16. #22572019C2semidirect
17. #22572017C2semidirect
18. #22570560C2semidirect
19. #22570162C2semidirect
20. #22570127C2semidirect
21. #22570033C2semidirect
22. #22569852C2semidirect
23. #22569823C2semidirect
24. #22569710C2semidirect
25. #22569474C2semidirect
26. #447×D67C2semidirect
27. #22569058C2semidirect
28. #22568932C2semidirect
29. #22568731C2semidirect
30. #418×D67C2semidirect
31. C67×#3319C2semidirect
34. C2×#14524070C22semidirect
36. C2×D8×D67C22semidirect
37. C2×#14524049C22semidirect
38. C2×M16×D67C22semidirect
39. #16864109C22semidirect
40. #16864096C22semidirect
41. #16864093C22semidirect
42. #16864092C22semidirect
43. #16864090C22semidirect
46. #16864049C22semidirect
47. #16864046C22semidirect
49. #16864039C22semidirect
51. #16864037C22semidirect
54. #16864034C22semidirect
55. D4×D268C22semidirect
56. D4×D268C22semidirect
58. #16864030C22semidirect
59. D4×C22⋊D67C22semidirect
61. #16864023C22semidirect
66. #16863962C22semidirect
73. #121×D67C22semidirect
76. #16863876C22semidirect
78. #16863868C22semidirect
79. #117×D67C22semidirect
80. #16863761C22semidirect
81. #16863759C22semidirect
82. #16863757C22semidirect
83. #16863752C22semidirect
84. #16863750C22semidirect
85. #16863744C22semidirect
86. #16863741C22semidirect
87. #16863734C22semidirect
88. #16863730C22semidirect
89. #16863725C22semidirect
90. #16863722C22semidirect
91. #16863721C22semidirect
92. #16863720C22semidirect
93. #16863720C22semidirect
94. #16863719C22semidirect
95. #16863716C22semidirect
96. #16863715C22semidirect
97. #16863713C22semidirect
98. #16863711C22semidirect
99. #16863711C22semidirect
100. #16863707C22semidirect
101. #16863699C22semidirect
102. #16863697C22semidirect
103. #16863696C22semidirect
104. #16863694C22semidirect
105. #16863684C22semidirect
106. #16863683C22semidirect
107. #16863675C22semidirect
108. #16863649C22semidirect
109. #16863648C22semidirect
110. #16863648C22semidirect
111. #16863647C22semidirect
112. #16863647C22semidirect
113. #16863647C22semidirect
114. #16863644C22semidirect
115. #16863633C22semidirect
116. #16863633C22semidirect
117. #16863632C22semidirect
118. #16863631C22semidirect
119. #16863629C22semidirect
120. #16863628C22semidirect
121. #16863622C22semidirect
122. #16863614C22semidirect
123. #16863613C22semidirect
124. #16863608C22semidirect
125. #16863592C22semidirect
126. #16863591C22semidirect
127. #16863590C22semidirect
128. #16863589C22semidirect
129. #16863544C22semidirect
130. #16863541C22semidirect
131. #16863540C22semidirect
132. #16863532C22semidirect
133. #16863532C22semidirect
134. #16863531C22semidirect
135. #16863531C22semidirect
136. #16863531C22semidirect
137. #16863530C22semidirect
138. #16863529C22semidirect
139. #16863529C22semidirect
140. #16863528C22semidirect
141. #16863528C22semidirect
142. #16863528C22semidirect
143. #16863509C22semidirect
144. #16863508C22semidirect
145. #16863507C22semidirect
146. C4×#11761613C22semidirect
147. C4×#11761613C22semidirect
148. #16863476C22semidirect
149. #16863476C22semidirect
150. #16863474C22semidirect
151. #16863472C22semidirect
152. #16863470C22semidirect
153. #16863470C22semidirect
154. #16863469C22semidirect
155. #16863461C22semidirect
156. C8×C22⋊D67C22semidirect
157. #16863437C22semidirect
158. #16863433C22semidirect
159. #16863431C22semidirect
160. #16863421C22semidirect
161. #16863402C22semidirect
162. #16863401C22semidirect
163. #16863400C22semidirect
164. #16863400C22semidirect
167. #16863399C22semidirect
168. #16863399C22semidirect
169. #16863399C22semidirect
170. #16863399C22semidirect
171. #16863397C22semidirect
172. #16863396C22semidirect
173. #16863396C22semidirect
174. #16863391C22semidirect
175. #16863391C22semidirect
176. #16863391C22semidirect
177. C2×#14523965C22semidirect
179. #102×D67C22semidirect
180. #102×D67C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #102×D67C22semidirect
185. #16863361C22semidirect
186. C22⋊C8×D67C22semidirect
187. #16863353C22semidirect
188. #555×C67C22semidirect
189. #546×C67C22semidirect
190. #489×C67C22semidirect
191. #485×C67C22semidirect
192. #482×C67C22semidirect
193. #474×C67C22semidirect
194. #468×C67C22semidirect
195. #466×C67C22semidirect
196. #463×C67C22semidirect
197. #449×C67C22semidirect
198. #447×C67C22semidirect
199. #442×C67C22semidirect
200. #435×C67C22semidirect
201. #418×C67C22semidirect
202. #416×C67C22semidirect
235. C2×#11761615C23semidirect
238. C2×D536C23semidirect
243. C2×#11761613C23semidirect
248. C2×#11761612C23semidirect
251. C2×#11761611C23semidirect
257. C2×C8×D67C23semidirect
258. #14524042C23semidirect
268. #14524035C23semidirect
269. #14524034C23semidirect
302. #14524018C23semidirect
307. #14524017C23semidirect
325. #14524014C23semidirect
351. C4×D268C23semidirect
353. D4×Dic67C23semidirect
356. #14524005C23semidirect
373. #14524001C23semidirect
378. C2×C4⋊Dic67C23semidirect
382. C4⋊C4×D67C23semidirect
393. #14523977C23semidirect
394. #14523976C23semidirect
395. #14523976C23semidirect
396. #14523976C23semidirect
397. #14523975C23semidirect
398. #14523975C23semidirect
399. #14523974C23semidirect
400. #14523974C23semidirect
401. #14523974C23semidirect
402. C4⋊(C67⋊C8)C23semidirect
403. Dic67⋊C8C23semidirect
404. Dic67⋊C8C23semidirect
405. #14523967C23semidirect
406. #14523967C23semidirect
407. #14523967C23semidirect
414. #14523965C23semidirect
415. #14523965C23semidirect
416. #14523965C23semidirect
417. #14523965C23semidirect
424. #14523964C23semidirect
431. #14523963C23semidirect
432. #14523963C23semidirect
433. #14523963C23semidirect
434. #14523963C23semidirect
436. C22⋊(C67⋊C8)C23semidirect
439. (C2×D67)⋊C8C23semidirect
440. (C2×D67)⋊C8C23semidirect
441. #14523953C23semidirect
442. C4×C67⋊C8C23semidirect
443. C8×Dic67C23semidirect
446. C2×SD16×C67C23semidirect
450. C22×C8×C67C23semidirect
451. C4⋊Q8×C67C23semidirect
461. #121×C67C23semidirect
465. C4×D4×C67C23semidirect
468. #117×C67C23semidirect
470. #107×C67C23semidirect
471. #107×C67C23semidirect
472. #106×C67C23semidirect
473. C4⋊C8×C67C23semidirect
474. #103×C67C23semidirect
475. #103×C67C23semidirect
476. #103×C67C23semidirect
483. #102×C67C23semidirect
485. C22⋊C8×C67C23semidirect
486. #97×C67C23semidirect
571. D4×D67#41semidirect
972. #3319D67semidirect
996. C67#61183semidirect
1005. #555C2×D67semidirect
1021. #546C2×D67semidirect
1050. #489C2×D67semidirect
1056. #485C2×D67semidirect
1064. #482C2×D67semidirect
1078. #474C2×D67semidirect
1086. #468C2×D67semidirect
1092. #466C2×D67semidirect
1098. #463C2×D67semidirect
1106. #449C2×D67semidirect
1118. #447C2×D67semidirect
1122. #442C2×D67semidirect
1132. #435C2×D67semidirect
1149. #418C2×D67semidirect
1156. #416C2×D67semidirect
1203. C2×SD16C22×D67semidirect
1229. C22×C8C22×D67semidirect
1232. C4⋊Q8C22×D67semidirect
1308. #121C22×D67semidirect
1355. C4×D4C22×D67semidirect
1367. #117C22×D67semidirect
1388. #107C22×D67semidirect
1389. #107C22×D67semidirect
1395. #106C22×D67semidirect
1399. C4⋊C8C22×D67semidirect
1403. #103C22×D67semidirect
1404. #103C22×D67semidirect
1405. #103C22×D67semidirect
1439. #102C22×D67semidirect
1447. C22⋊C8C22×D67semidirect
1449. #97C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225739432
#225738392
#225724472
#225724452
#225724162
#225724102
#225723682
#225723552
#225723532
#225723522
#225723432
#225721692
#225721632
#225720662
#225720602
#225720192
#225720172
#225705602
#225701622
#225701272
#225700332
#225698522
#225698232
#225697102
#225694742
#447×D672
#225690582
#225689322
#225687312
#418×D672
C67×#33192
#6118367