Finite Group Databasebeta

← #31732608

Subgroups — #31732608

Order 17152.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22573767C211yesmaximal, characteristic, complemented
2D4×#11761628C211yesmaximal, characteristic, complemented
3#22572397C211yesmaximal, characteristic, complemented
4#22572382C211yesmaximal, characteristic, complemented
5#22572367C211yesmaximal, characteristic, complemented
6#22572352C211yesmaximal, characteristic, complemented
7#22572337C211yesmaximal, characteristic, complemented
8#22572322C211yesmaximal, characteristic, complemented
9#22572307C211yesmaximal, characteristic, complemented
10#22572292C211yesmaximal, characteristic, complemented
11#22572277C211yesmaximal, characteristic, complemented
12#22572262C211yesmaximal, characteristic, complemented
13#22572247C211yesmaximal, characteristic, complemented
14#22572232C211yesmaximal, characteristic, complemented
15#22572217C211yesmaximal, characteristic, complemented
16#22572202C211yesmaximal, characteristic, complemented
17#22572187C211yesmaximal, characteristic, complemented
18#22572172C211yesmaximal, characteristic, complemented
19#22570555C211yesmaximal, characteristic, complemented
20#22570124C211yesmaximal, characteristic, complemented
21#22570124C211yesmaximal, characteristic, complemented
22#22569999C211yesmaximal, characteristic, complemented
23#22569818C211yesmaximal, characteristic, complemented
24#22569790C211yesmaximal, characteristic, complemented
25#22569666C211yesmaximal, characteristic, complemented
26#22569431C211yesmaximal, characteristic, complemented
27#22569431C211yesmaximal, characteristic, complemented
28#22569011C211yesmaximal, characteristic, complemented
29#22568729C211yesmaximal, characteristic, complemented
30C2×#16863393C211yesmaximal, characteristic, complemented
31C2×#435×C67C211yesmaximal, characteristic, complemented
32C22×#11761628C2211yescharacteristic
33C22×#11761628C2211yescharacteristic
34C2×#14524065C2211yescharacteristic
35C2×#14524065C2211yescharacteristic, complemented
36C2×#14524065C2211yescharacteristic, complemented
37#16864116C2211yescharacteristic, complemented
38#16864111C2211yescharacteristic, complemented
39#16864103C2211yescharacteristic, complemented
40#16864092C2211yescharacteristic
41#16864092C2211yescharacteristic, complemented
42#16864086C2211yescharacteristic
43#16864086C2211yescharacteristic, complemented
44#16864081—21no—
45#16864072—21no—
46#16864072—21no—
47#16864067C2211yescharacteristic
48D4×Dic134C2211yescharacteristic
49#16864055C2211yescharacteristic
50#16864055C2211yescharacteristic
51#16864051C2211yescharacteristic
52#16864050C2211yescharacteristic, complemented
53#16864047—21no—
54#16864042C2211yescharacteristic
55#16864042C2211yescharacteristic
56#16864040—21no—
57#16864036—21no—
58#16864036—21no—
59D4×D268C2211yescharacteristic
60D4×C22⋊D67—21no—
61#16863953C2211yescharacteristic, complemented
62#16863946C2211yescharacteristic
63#16863943—21no—
64#16863928—21no—
65#16863926—21no—
66#16863926—21no—
67#16863907C2211yescharacteristic
68#16863907C2211yescharacteristic
69#16863907C2211yescharacteristic, complemented
70#16863907C2211yescharacteristic, complemented
71#16863905—21no—
72#16863905—21no—
73C4×#11761628C2211yescharacteristic
74C4×#11761628C2211yescharacteristic, complemented
75C4×#11761627—21no—
76C4×D4×D67—21no—
77C2×#14524002C2211yescharacteristic, complemented
78C2×#14524002C2211yescharacteristic, complemented
79#16863765C2211yescharacteristic, complemented
80#16863765C2211yescharacteristic, complemented
81#16863761C2211yescharacteristic, complemented
82#16863761C2211yescharacteristic, complemented
83#16863756C2211yescharacteristic, complemented
84#16863756C2211yescharacteristic, complemented
85#16863756C2211yescharacteristic, complemented
86#16863756C2211yescharacteristic, complemented
87#16863738C2211yescharacteristic, complemented
88#16863738C2211yescharacteristic, complemented
89#16863738C2211yescharacteristic, complemented
90#16863738C2211yescharacteristic, complemented
91#16863732C2211yescharacteristic, complemented
92#16863732C2211yescharacteristic, complemented
93#16863727C2211yescharacteristic, complemented
94#16863727C2211yescharacteristic, complemented
95#16863721C2211yescharacteristic, complemented
96#16863721C2211yescharacteristic, complemented
97#16863721C2211yescharacteristic, complemented
98#16863721C2211yescharacteristic, complemented
99#16863715C2211yescharacteristic, complemented
100#16863715C2211yescharacteristic, complemented
101#16863710C2211yescharacteristic, complemented
102#16863710C2211yescharacteristic, complemented
103#16863704C2211yescharacteristic, complemented
104#16863704C2211yescharacteristic, complemented
105#16863697C2211yescharacteristic, complemented
106#16863697C2211yescharacteristic, complemented
107#16863692C2211yescharacteristic, complemented
108#16863687C2211yescharacteristic, complemented
109#16863682C2211yescharacteristic, complemented
110#16863677C2211yescharacteristic, complemented
111#16863654C2211yescharacteristic, complemented
112#16863654C2211yescharacteristic, complemented
113#16863649C2211yescharacteristic, complemented
114#16863649C2211yescharacteristic, complemented
115#16863642C2211yescharacteristic, complemented
116#16863642C2211yescharacteristic, complemented
117#16863642C2211yescharacteristic, complemented
118#16863642C2211yescharacteristic, complemented
119#16863637C2211yescharacteristic, complemented
120#16863637C2211yescharacteristic, complemented
121#16863632C2211yescharacteristic, complemented
122#16863632C2211yescharacteristic, complemented
123#16863625C2211yescharacteristic, complemented
124#16863625C2211yescharacteristic, complemented
125#16863625C2211yescharacteristic, complemented
126#16863625C2211yescharacteristic, complemented
127#16863619C2211yescharacteristic, complemented
128#16863619C2211yescharacteristic, complemented
129#16863612C2211yescharacteristic, complemented
130#16863612C2211yescharacteristic, complemented
131#16863607C2211yescharacteristic, complemented
132#16863602C2211yescharacteristic, complemented
133#16863597C2211yescharacteristic, complemented
134#16863592C2211yescharacteristic, complemented
135#16863560C2211yescharacteristic, complemented
136#16863560C2211yescharacteristic, complemented
137#16863560C2211yescharacteristic, complemented
138#16863560C2211yescharacteristic, complemented
139#16863554C2211yescharacteristic, complemented
140#16863554C2211yescharacteristic, complemented
141#16863549C2211yescharacteristic, complemented
142#16863549C2211yescharacteristic, complemented
143#16863543C2211yescharacteristic, complemented
144#16863543C2211yescharacteristic, complemented
145#16863543C2211yescharacteristic, complemented
146#16863543C2211yescharacteristic, complemented
147#16863537C2211yescharacteristic, complemented
148#16863537C2211yescharacteristic, complemented
149#16863532C2211yescharacteristic, complemented
150#16863532C2211yescharacteristic, complemented
151#16863509C2211yescharacteristic, complemented
152#16863509C2211yescharacteristic, complemented
153#16863504C2211yescharacteristic, complemented
154#16863504C2211yescharacteristic, complemented
155#16863498C2211yescharacteristic, complemented
156#16863498C2211yescharacteristic, complemented
157#16863498C2211yescharacteristic, complemented
158#16863498C2211yescharacteristic, complemented
159#16863434C2211yescharacteristic, complemented
160#16863434C2211yescharacteristic, complemented
161#16863434C2211yescharacteristic, complemented
162#16863406C2211yescharacteristic, complemented
163#16863406C2211yescharacteristic, complemented
164#16863402C2211yescharacteristic, complemented
165#16863402C2211yescharacteristic, complemented
166#16863398C2211yescharacteristic, complemented
167#16863398C2211yescharacteristic, complemented
168#16863398C2211yescharacteristic, complemented
169#16863398C2211yescharacteristic, complemented
170#16863393C2211yescharacteristic
171#16863393C2211yescharacteristic
172#16863393C2211yescharacteristic
173#16863393C2211yescharacteristic, complemented
174#16863393C2211yescharacteristic, complemented
175#16863393C2211yescharacteristic, complemented
176#16863393C2211yescharacteristic, complemented
177#16863393C2211yescharacteristic, complemented
178#16863393C2211yescharacteristic, complemented
179#16863393C2211yescharacteristic, complemented
180#16863393C2211yescharacteristic, complemented
181#16863393C2211yescharacteristic, complemented
182#16863393C2211yescharacteristic, complemented
183#16863393C2211yescharacteristic, complemented
184C2×#14523968C2211yescharacteristic, complemented
185C2×#14523968C2211yescharacteristic, complemented
186C2×#14523965C2211yescharacteristic, complemented
187C2×#14523965C2211yescharacteristic, complemented
188C22×M16×C67C2211yescharacteristic, complemented
189C23×C8×C67C2211yescharacteristic, complemented
190C2×C4×D4×C67C2211yescharacteristic
191#435×C67C2211yescharacteristic
192#435×C67C2211yescharacteristic
193#435×C67C2211yescharacteristic, complemented
194#435×C67C2211yescharacteristic, complemented
195#435×C67C2211yescharacteristic, complemented
196#435×C67C2211yescharacteristic, complemented
197#435×C67C2211yescharacteristic, complemented
198#435×C67C2211yescharacteristic, complemented
199C2×C4⋊C8×C67C2211yescharacteristic, complemented
200C2×C22⋊C8×C67C2211yescharacteristic, complemented
201C2×C22⋊C8×C67C2211yescharacteristic, complemented
202C2×#97×C67C2211yescharacteristic, complemented
203C2×#11761628—24no—
204C2×#11761628—24no—
205C2×#11761628—21no—
206C2×#11761628—21no—
207C2×#11761628—21no—
208C2×#11761628—21no—
209C2×#11761628—42no—
210C2×#11761628—42no—
211C2×#11761628C2311yescharacteristic
212C2×#11761628C2311yescharacteristic
213C2×#11761628C2311yescharacteristic
214C2×#11761628C2311yescharacteristic
215C2×#11761628C2311yescharacteristic
216C2×#11761628C2311yescharacteristic
217C2×#11761628C2311yescharacteristic
218C2×#11761628C2311yescharacteristic
219C2×#11761627—21no—
220C22×Dic134C2311yescharacteristic
221C22×Dic134C2311yescharacteristic
222C22×D268C2311yescharacteristic
223C22×D268C2311yescharacteristic
224C22×C22⋊D67—21no—
225C22×C22⋊D67—21no—
226C2×D4×D67—21no—
227C22×C4×D67—21no—
228C22×C4×D67—21no—
229#14524065—24no—
230#14524065—42no—
231#14524065—42no—
232C2×Dic268C2311yescharacteristic
233C2×Dic268C2311yescharacteristic
234C2×Dic268C2311yescharacteristic
235C2×#11761617C2311yescharacteristic
236C2×#11761617C2311yescharacteristic
237C2×#11761617C2311yescharacteristic
238C2×#11761617C2311yescharacteristic
239C2×#11761617C2311yescharacteristic
240C2×#11761617C2311yescharacteristic
241C2×D536C2311yescharacteristic
242C2×D536C2311yescharacteristic
243C2×D536C2311yescharacteristic
244#14524043C2311yescharacteristic
245#14524043C2311yescharacteristic
246#14524043C2311yescharacteristic
247#14524042—21no—
248#14524040C2311yescharacteristic
249#14524039—21no—
250#14524038—21no—
251#14524038—21no—
252#14524036—21no—
253#14524036—21no—
254#14524036—21no—
255#14524036—21no—
256#14524035C2311yescharacteristic
257#14524035C2311yescharacteristic
258#14524034—21no—
259#14524033—21no—
260#14524033—21no—
261#14524031C2311yescharacteristic
262#14524031C2311yescharacteristic
263#14524030—21no—
264#14524029—21no—
265#14524029—21no—
266#14524029—21no—
267#14524029—21no—
268#14524028—21no—
269#14524028—21no—
270#14524027—21no—
271#14524027—21no—
272#14524026—21no—
273#14524026—21no—
274#14524026—21no—
275#14524026—21no—
276#14524025—21no—
277#14524025—21no—
278#14524025—21no—
279#14524025—21no—
280#14524024—21no—
281#14524024—21no—
282#14524023—21no—
283#14524022—21no—
284#14524022—21no—
285#14524022C2311yescharacteristic
286#14524022C2311yescharacteristic
287#14524022C2311yescharacteristic
288#14524022C2311yescharacteristic
289#14524022C2311yescharacteristic
290#14524022C2311yescharacteristic
291#14524022C2311yescharacteristic
292#14524022C2311yescharacteristic
293#14524021—21no—
294#14524021—21no—
295#14524020—21no—
296#14524020—21no—
297#14524020—21no—
298#14524020—21no—
299#14524018—21no—
300#14524017—21no—
301#14524017—21no—
302#14524017C2311yescharacteristic
303#14524017C2311yescharacteristic
304#14524017C2311yescharacteristic
305#14524017C2311yescharacteristic
306#14524017C2311yescharacteristic
307#14524017C2311yescharacteristic
308#14524017C2311yescharacteristic
309#14524017C2311yescharacteristic
310#14524016—21no—
311#14524016—21no—
312#14524016—21no—
313#14524016—21no—
314#14524015—21no—
315#14524015—21no—
316#14524015—21no—
317#14524015—21no—
318#14524014—21no—
319#14524014—21no—
320#14524013—21no—
321#14524013—21no—
322#14524012—21no—
323#14524012—21no—
324#14524012—21no—
325#14524012—21no—
326#14524011—21no—
327#14524011—21no—
328C4×Dic134—21no—
329C4×Dic134—21no—
330C4×Dic134C2311yescharacteristic
331C4×Dic134C2311yescharacteristic
332C4×Dic134C2311yescharacteristic
333C4×Dic134C2311yescharacteristic
334#14524008—21no—
335C4×D268—21no—
336C4×D268—21no—
337C4×D268C2311yescharacteristic
338C4×D268C2311yescharacteristic
339C4×D268C2311yescharacteristic
340C4×D268C2311yescharacteristic
341D4×Dic67—21no—
342D4×Dic67—21no—
343#14524005—21no—
344C4×C22⋊D67—21no—
345C4×C22⋊D67—21no—
346C4×C22⋊D67—21no—
347C4×C22⋊D67—21no—
348C4×C22⋊D67—21no—
349C4×C22⋊D67—21no—
350C4×C22⋊D67—21no—
351C4×C22⋊D67—21no—
352C4×C22⋊D67—21no—
353C4×C22⋊D67—21no—
354C4×C22⋊D67—21no—
355C4×C22⋊D67—21no—
356(C22⋊D67)⋊C4—21no—
357(C22⋊D67)⋊C4—21no—
358(C22⋊D67)⋊C4—21no—
359(C22⋊D67)⋊C4—21no—
360#14524002—21no—
361#14524002—21no—
362#14524002—21no—
363#14524002—21no—
364#14524002C2311yescharacteristic
365#14524002C2311yescharacteristic
366#14524002C2311yescharacteristic
367#14524002C2311yescharacteristic
368#14524002C2311yescharacteristic
369#14524002C2311yescharacteristic
370#14524002C2311yescharacteristic
371#14524002C2311yescharacteristic
372#14524001—21no—
373#14524000—21no—
374#14524000—21no—
375#14523999—21no—
376#14523999—21no—
377C2×C4⋊Dic67C2311yescharacteristic
378C2×C4⋊Dic67C2311yescharacteristic
379C2×C4⋊Dic67C2311yescharacteristic
380C2×C4⋊Dic67C2311yescharacteristic
381C4⋊C4×D67—21no—
382C2×C22⋊Dic67—21no—
383C2×C22⋊Dic67—21no—
384C22⋊C4×D67—21no—
385C22⋊C4×D67—21no—
386C2×C4×Dic67—21no—
387C2×C4×Dic67—21no—
388C42×D67—21no—
389C42×D67—21no—
390#14523977C2311yescharacteristic
391#14523977C2311yescharacteristic
392#14523977C2311yescharacteristic
393#14523977C2311yescharacteristic
394#14523977C2311yescharacteristic
395#14523977C2311yescharacteristic
396#14523975C2311yescharacteristic
397#14523975C2311yescharacteristic
398#14523975C2311yescharacteristic
399#14523975C2311yescharacteristic
400#14523975C2311yescharacteristic
401#14523975C2311yescharacteristic
402#14523968C2311yescharacteristic
403#14523968C2311yescharacteristic
404#14523968C2311yescharacteristic
405#14523968C2311yescharacteristic
406#14523968C2311yescharacteristic
407#14523968C2311yescharacteristic
408#14523968C2311yescharacteristic
409#14523968C2311yescharacteristic
410#14523968C2311yescharacteristic
411#14523968C2311yescharacteristic
412#14523968C2311yescharacteristic
413#14523968C2311yescharacteristic
414#14523968C2311yescharacteristic
415#14523968C2311yescharacteristic
416#14523968C2311yescharacteristic
417#14523968C2311yescharacteristic
418#14523968C2311yescharacteristic
419#14523968C2311yescharacteristic
420#14523968C2311yescharacteristic
421#14523968C2311yescharacteristic
422#14523965C2311yescharacteristic
423#14523965C2311yescharacteristic
424#14523965C2311yescharacteristic
425#14523965C2311yescharacteristic
426#14523965C2311yescharacteristic
427#14523965C2311yescharacteristic
428#14523965C2311yescharacteristic
429#14523965C2311yescharacteristic
430#14523965C2311yescharacteristic
431#14523965C2311yescharacteristic
432#14523965C2311yescharacteristic
433#14523965C2311yescharacteristic
434#14523965C2311yescharacteristic
435#14523965C2311yescharacteristic
436#14523965C2311yescharacteristic
437#14523965C2311yescharacteristic
438#14523965C2311yescharacteristic
439#14523965C2311yescharacteristic
440#14523965C2311yescharacteristic
441#14523965C2311yescharacteristic
442C22×D4×C67D411yescharacteristic
443C23×C4×C67C2311yescharacteristic
444C23×C4×C67C2311yescharacteristic
445C2×M16×C67—42no—
446C2×M16×C67C2311yescharacteristic
447C2×M16×C67C2311yescharacteristic
448C2×M16×C67C2311yescharacteristic
449C2×M16×C67C2311yescharacteristic
450C22×C8×C67—42no—
451C22×C8×C67C2311yescharacteristic
452C22×C8×C67C2311yescharacteristic
453C22×C8×C67C2311yescharacteristic
454C22×C8×C67C2311yescharacteristic
455C22×C8×C67C2311yescharacteristic
456C22×C8×C67C2311yescharacteristic
457C22×C8×C67C2311yescharacteristic
458C22×C8×C67C2311yescharacteristic
459C4×D4×C67D411yescharacteristic
460C4×D4×C67D411yescharacteristic
461C4×D4×C67D411yescharacteristic
462C4×D4×C67D411yescharacteristic
463C4×D4×C67C2311yescharacteristic
464C4×D4×C67C2311yescharacteristic
465C4×D4×C67C2311yescharacteristic
466C4×D4×C67C2311yescharacteristic
467C2×C4⋊C4×C67D411yescharacteristic
468C2×C22⋊C4×C67D411yescharacteristic
469C2×C22⋊C4×C67D411yescharacteristic
470C2×C42×C67C2311yescharacteristic
471C4⋊C8×C67C2311yescharacteristic
472C4⋊C8×C67C2311yescharacteristic
473C4⋊C8×C67C2311yescharacteristic
474C4⋊C8×C67C2311yescharacteristic
475C22⋊C8×C67C2311yescharacteristic
476C22⋊C8×C67C2311yescharacteristic
477C22⋊C8×C67C2311yescharacteristic
478C22⋊C8×C67C2311yescharacteristic
479C22⋊C8×C67C2311yescharacteristic
480C22⋊C8×C67C2311yescharacteristic
481C22⋊C8×C67C2311yescharacteristic
482C22⋊C8×C67C2311yescharacteristic
483#97×C67C2311yescharacteristic
484#97×C67C2311yescharacteristic
485#97×C67C2311yescharacteristic
486#97×C67C2311yescharacteristic
487C23×D67—21no—
488C23×D67—21no—
489#11761628—22no—
490#11761628—22no—
491#11761628—22no—
492#11761628—22no—
493#11761628—22no—
494#11761628—22no—
495#11761628—22no—
496#11761628—22no—
497#11761628—22no—
498#11761628—22no—
499#11761628—22no—
500#11761628—41no—
501#11761628—41no—
502#11761628—41no—
503#11761628—41no—
504#11761628—44no—
505#11761628—44no—
506#11761628—44no—
507#11761628—44no—
508#11761628#4114yescomplemented
509#11761627—44no—
510C2×Dic134—22no—
511C2×Dic134—22no—
512C2×Dic134—21no—
513C2×Dic134—21no—
514C2×Dic134—21no—
515C2×Dic134—21no—
516C2×Dic134—41no—
517C2×Dic134—41no—
518C2×Dic134C2411yescharacteristic
519C2×Dic134C2411yescharacteristic
520C2×Dic134C2411yescharacteristic
521C2×Dic134C2411yescharacteristic
522C2×D268—22no—
523C2×D268—22no—
524C2×D268—21no—
525C2×D268—21no—
526C2×D268—21no—
527C2×D268—21no—
528C2×D268—41no—
529C2×D268—41no—
530C2×D268C2411yescharacteristic
531C2×D268C2411yescharacteristic
532C2×D268C2411yescharacteristic
533C2×D268C2411yescharacteristic
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—21no—
548C2×C22⋊D67—21no—
549C2×C22⋊D67—21no—
550C2×C22⋊D67—44no—
551C2×C22⋊D67—44no—
552D4×D67—44no—
553C22×Dic67—21no—
554C22×Dic67—21no—
555C22×Dic67—21no—
556C22×Dic67—21no—
557C22×Dic67—21no—
558C22×Dic67—21no—
559C2×C4×D67—21no—
560C2×C4×D67—21no—
561C2×C4×D67—21no—
562C2×C4×D67—21no—
563C2×C4×D67—21no—
564C2×C4×D67—21no—
565C2×C4×D67—21no—
566C2×C4×D67—21no—
567C2×C4×D67—21no—
568C2×C4×D67—21no—
569C2×C4×D67—21no—
570C2×C4×D67—21no—
571C2×C4×D67—44no—
572C2×C4×D67—44no—
573Dic268—22no—
574Dic268—41no—
575Dic268—41no—
576#11761617—22no—
577#11761617—22no—
578#11761617—41no—
579#11761617—41no—
580#11761617—41no—
581#11761617—41no—
582D536—22no—
583D536—41no—
584D536—41no—
585C4⋊Dic67—21no—
586C4⋊Dic67—21no—
587C4⋊Dic67—21no—
588C4⋊Dic67—21no—
589C4⋊Dic67—21no—
590C4⋊Dic67—21no—
591C4⋊Dic67—21no—
592C4⋊Dic67—21no—
593C4⋊Dic67C2411yescharacteristic
594C4⋊Dic67C2411yescharacteristic
595C4⋊Dic67C2411yescharacteristic
596C4⋊Dic67C2411yescharacteristic
597C4⋊Dic67C2411yescharacteristic
598C4⋊Dic67C2411yescharacteristic
599C4⋊Dic67C2411yescharacteristic
600C4⋊Dic67C2411yescharacteristic
601Dic67⋊C4—21no—
602Dic67⋊C4—21no—
603Dic67⋊C4—21no—
604Dic67⋊C4—21no—
605Dic67⋊C4—21no—
606Dic67⋊C4—21no—
607Dic67⋊C4—21no—
608Dic67⋊C4—21no—
609Dic67⋊C4—21no—
610Dic67⋊C4—21no—
611Dic67⋊C4—21no—
612Dic67⋊C4—21no—
613Dic67⋊C4—21no—
614Dic67⋊C4—21no—
615Dic67⋊C4—21no—
616Dic67⋊C4—21no—
617C22⋊Dic67—21no—
618C22⋊Dic67—21no—
619C22⋊Dic67—21no—
620C22⋊Dic67—21no—
621C22⋊Dic67—21no—
622C22⋊Dic67—21no—
623C22⋊Dic67—21no—
624C22⋊Dic67—21no—
625C22⋊Dic67—21no—
626C22⋊Dic67—21no—
627C22⋊Dic67—21no—
628C22⋊Dic67—21no—
629C22⋊Dic67—21no—
630C22⋊Dic67—21no—
631C22⋊Dic67—21no—
632C22⋊Dic67—21no—
633(C2×D67)⋊C4—21no—
634(C2×D67)⋊C4—21no—
635(C2×D67)⋊C4—21no—
636(C2×D67)⋊C4—21no—
637(C2×D67)⋊C4—21no—
638(C2×D67)⋊C4—21no—
639(C2×D67)⋊C4—21no—
640(C2×D67)⋊C4—21no—
641(C2×D67)⋊C4—21no—
642(C2×D67)⋊C4—21no—
643(C2×D67)⋊C4—21no—
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—
649C4×Dic67—21no—
650C4×Dic67—21no—
651C4×Dic67—21no—
652C4×Dic67—21no—
653C4×Dic67—21no—
654C4×Dic67—21no—
655C4×Dic67—21no—
656C4×Dic67—21no—
657C4×Dic67—21no—
658C4×Dic67—21no—
659C4×Dic67—21no—
660C4×Dic67—21no—
661C24×C67C2×D411yescharacteristic
662C24×C67C2×D411yescharacteristic
663C2×D4×C67—42no—
664C2×D4×C67C2×D411yescharacteristic
665C2×D4×C67C2×D411yescharacteristic
666C2×D4×C67C2×D411yescharacteristic
667C2×D4×C67C2×D411yescharacteristic
668C22×C4×C67—22no—
669C22×C4×C67—22no—
670C22×C4×C67—22no—
671C22×C4×C67—22no—
672C22×C4×C67C2×D411yescharacteristic
673C22×C4×C67C2×D411yescharacteristic
674C22×C4×C67C2×D411yescharacteristic
675C22×C4×C67C2×D411yescharacteristic
676C22×C4×C67C2×D411yescharacteristic
677C22×C4×C67C2×D411yescharacteristic
678C22×C4×C67C2×D411yescharacteristic
679C22×C4×C67C2×D411yescharacteristic
680C22×C4×C67C2411yescharacteristic
681C22×C4×C67C2411yescharacteristic
682C22×C4×C67C2411yescharacteristic
683C22×C4×C67C2411yescharacteristic
684C22×C4×C67C2411yescharacteristic
685M16×C67—41no—
686M16×C67—41no—
687M16×C67—41no—
688M16×C67—41no—
689C2×C8×C67—22no—
690C2×C8×C67—22no—
691C2×C8×C67—22no—
692C2×C8×C67—22no—
693C2×C8×C67—41no—
694C2×C8×C67—41no—
695C2×C8×C67—41no—
696C2×C8×C67—41no—
697C2×C8×C67C2411yescharacteristic
698C2×C8×C67C2411yescharacteristic
699C2×C8×C67C2411yescharacteristic
700C2×C8×C67C2411yescharacteristic
701C2×C8×C67C2411yescharacteristic
702C2×C8×C67C2411yescharacteristic
703C2×C8×C67C2411yescharacteristic
704C2×C8×C67C2411yescharacteristic
705C4⋊C4×C67C2×D411yescharacteristic
706C4⋊C4×C67C2×D411yescharacteristic
707C4⋊C4×C67C2×D411yescharacteristic
708C4⋊C4×C67C2×D411yescharacteristic
709C22⋊C4×C67C2×D411yescharacteristic
710C22⋊C4×C67C2×D411yescharacteristic
711C22⋊C4×C67C2×D411yescharacteristic
712C22⋊C4×C67C2×D411yescharacteristic
713C22⋊C4×C67C2×D411yescharacteristic
714C22⋊C4×C67C2×D411yescharacteristic
715C22⋊C4×C67C2×D411yescharacteristic
716C22⋊C4×C67C2×D411yescharacteristic
717C42×C67C2×D411yescharacteristic
718C42×C67C2×D411yescharacteristic
719C42×C67C2411yescharacteristic
720C42×C67C2411yescharacteristic
721C23×C67—22no—
722C23×C67—22no—
723C23×C67—22no—
724C23×C67—41no—
725C23×C67—41no—
726C23×C67—41no—
727C23×C67C22×D411yescharacteristic
728C23×C67C22×D411yescharacteristic
729C23×C67C22×D411yescharacteristic
730C23×C67C22×D411yescharacteristic
731C23×C67C22×D411yescharacteristic
732C22×D67—21no—
733C22×D67—21no—
734C22×D67—21no—
735C22×D67—21no—
736C22×D67—42no—
737C22×D67—42no—
738C22×D67—42no—
739C22×D67—42no—
740C22×D67—81no—
741C22×D67—81no—
742D4×C67—22no—
743D4×C67—22no—
744D4×C67—41no—
745D4×C67—41no—
746C2×C4×C67—22no—
747C2×C4×C67—22no—
748C2×C4×C67—22no—
749C2×C4×C67—22no—
750C2×C4×C67—22no—
751C2×C4×C67—22no—
752C2×C4×C67—21no—
753C2×C4×C67—21no—
754C2×C4×C67—21no—
755C2×C4×C67—21no—
756C2×C4×C67—21no—
757C2×C4×C67—21no—
758C2×C4×C67—21no—
759C2×C4×C67—21no—
760C2×C4×C67—41no—
761C2×C4×C67—41no—
762C2×C4×C67C22×D411yescharacteristic
763C2×C4×C67C22×D411yescharacteristic
764C2×C4×C67C22×D411yescharacteristic
765C2×C4×C67C22×D411yescharacteristic
766C2×C4×C67C22×D411yescharacteristic
767C2×C4×C67C22×D411yescharacteristic
768C2×C4×C67C22×D411yescharacteristic
769C2×C4×C67C22×D411yescharacteristic
770C2×C4×C67C22×D411yescharacteristic
771C2×C4×C67C2×#4112yes—
772C2×C4×C67H(5,𝔽2)12yes—
773C2×C4×C67C2511yescharacteristic
774C22⋊D67—24no—
775C22⋊D67—42no—
776C22⋊D67—42no—
777C22⋊D67—42no—
778C22⋊D67—42no—
779C22⋊D67—42no—
780C22⋊D67—42no—
781C22⋊D67—42no—
782C22⋊D67—42no—
783C22⋊D67—42no—
784C22⋊D67—42no—
785C22⋊D67—42no—
786C22⋊D67—81no—
787C22⋊D67—81no—
788C22⋊D67—81no—
789C22⋊D67—81no—
790C2×Dic67—21no—
791C2×Dic67—21no—
792C2×Dic67—21no—
793C2×Dic67—21no—
794C2×Dic67—21no—
795C2×Dic67—21no—
796C2×Dic67—21no—
797C2×Dic67—21no—
798C2×Dic67—21no—
799C2×Dic67—21no—
800C2×Dic67—21no—
801C2×Dic67—21no—
802C2×Dic67—42no—
803C2×Dic67—42no—
804C2×Dic67—42no—
805C2×Dic67—42no—
806C2×Dic67—81no—
807C2×Dic67—81no—
808D268—21no—
809D268—21no—
810D268—21no—
811D268—21no—
812D268—21no—
813D268—21no—
814D268—21no—
815D268—42no—
816D268—42no—
817D268—42no—
818D268—81no—
819D268C2×#4112yes—
820C4×D67—24no—
821C4×D67—42no—
822C4×D67—42no—
823C4×D67—42no—
824C4×D67—42no—
825C4×D67—42no—
826C4×D67—42no—
827C4×D67—42no—
828C4×D67—42no—
829C4×D67—42no—
830C4×D67—81no—
831C4×D67—81no—
832Dic134—21no—
833Dic134—21no—
834Dic134—21no—
835Dic134—21no—
836Dic134—21no—
837Dic134—21no—
838Dic134—21no—
839Dic134—42no—
840Dic134—42no—
841Dic134—42no—
842Dic134—81no—
843Dic134C2×#4112yes—
844C8×C67—21no—
845C8×C67—21no—
846C8×C67—21no—
847C8×C67—21no—
848C8×C67—21no—
849C8×C67—21no—
850C8×C67—21no—
851C8×C67—21no—
852C22×C67—21no—
853C22×C67—21no—
854C22×C67—21no—
855C22×C67—21no—
856C22×C67—21no—
857C22×C67—21no—
858C22×C67—21no—
859C22×C67—21no—
860C22×C67—21no—
861C22×C67—21no—
862C22×C67—21no—
863C22×C67—21no—
864C22×C67—21no—
865C22×C67—44no—
866C22×C67—82no—
867C22×C67#54612yes—
868C22×C67#57512yes—
869C22×C67C23×D411yescharacteristic
870C2×D67—22no—
871C2×D67—41no—
872C2×D67—41no—
873C2×D67—41no—
874C2×D67—41no—
875C2×D67—41no—
876C2×D67—41no—
877C2×D67—41no—
878C2×D67—41no—
879C2×D67—41no—
880C2×D67—41no—
881C2×D67—41no—
882C2×D67—84no—
883C2×D67—84no—
884C4×C67—21no—
885C4×C67—21no—
886C4×C67—21no—
887C4×C67—21no—
888C4×C67—21no—
889C4×C67—21no—
890C4×C67—21no—
891C4×C67—21no—
892C4×C67#54612yes—
893C4×C67C22×#4111yescharacteristic
894C4×C67C2×H(5,𝔽2)11yescharacteristic
895Dic67—22no—
896Dic67—41no—
897Dic67—41no—
898Dic67—41no—
899Dic67—41no—
900Dic67—41no—
901Dic67—41no—
902Dic67—41no—
903Dic67—41no—
904Dic67—41no—
905Dic67—41no—
906Dic67—41no—
907#61141—671nomaximal, Sylow
908C2×C67—22no—
909C2×C67—22no—
910C2×C67—41no—
911C2×C67—41no—
912C2×C67—41no—
913C2×C67C2×#54611yescharacteristic
914C2×C67C2×#57511yescharacteristic
915C2×C67#358411yescharacteristic
916D67—42no—
917D67—81no—
918D67—81no—
919D67—81no—
920#3475—671no—
921D4×#41—671no—
922#3321—671no—
923#3320—671no—
924#3319—671no—
925#3318—671no—
926#3317—671no—
927#3316—671no—
928#3315—671no—
929#3314—671no—
930#3313—671no—
931#3312—671no—
932#3311—671no—
933#3310—671no—
934#3309—671no—
935#3308—671no—
936#3307—671no—
937#3306—671no—
938#3135—671no—
939#3091—671no—
940#3091—671no—
941#3076—671no—
942#3054—671no—
943#3050—671no—
944#3035—671no—
945#3002—671no—
946#3002—671no—
947#2943—671no—
948C2×#435D6711yescharacteristic, complemented
949#2896—671no—
950C2×#416—671no—
951C67#6114111yescharacteristic, complemented, Sylow
952C22×#41—671no—
953C22×#41—671no—
954C2×#135—671no—
955C2×#135—671no—
956C2×#135—671no—
957C22×M16C2×D6711yescharacteristic, complemented
958C23×C8C2×D6711yescharacteristic, complemented
959#556—671no—
960#555—671no—
961#554—671no—
962#553—671no—
963#553—671no—
964#552—671no—
965#552—671no—
966#552—1341no—
967#551—1341no—
968#551—1341no—
969#550—671no—
970D4×Q8—671no—
971#548—671no—
972#548—671no—
973#547—671no—
974#547—671no—
975#547—1341no—
976#546—671no—
977#546—671no—
978#546—1341no—
979#546—1341no—
980#546—1341no—
981D42—671no—
982D42—1341no—
983#533—671no—
984#532—671no—
985#532—1341no—
986#529—1341no—
987#529—1341no—
988#529—1341no—
989#525—671no—
990#525—671no—
991#525—671no—
992#525—671no—
993#525—1341no—
994#525—1341no—
995C4×#41—671no—
996C4×#41—671no—
997C4×#41—1341no—
998C2×C4×D4—1341no—
999C2×C4×D4C2×D6711yescharacteristic
1000C2×#117—671no—
1001C2×#117—671no—
1002#491—671no—
1003#491—671no—
1004#490—671no—
1005#490—671no—
1006#489—671no—
1007#489—671no—
1008#489—671no—
1009#489—671no—
1010#485—671no—
1011#485—671no—
1012#485—671no—
1013#485—671no—
1014#484—671no—
1015#484—671no—
1016#483—671no—
1017#483—671no—
1018#482—671no—
1019#482—671no—
1020#482—671no—
1021#482—671no—
1022#481—671no—
1023#481—671no—
1024#480—671no—
1025#480—671no—
1026#479—671no—
1027#479—671no—
1028#478—671no—
1029#478—671no—
1030#477—671no—
1031#476—671no—
1032#475—671no—
1033#474—671no—
1034#470—671no—
1035#470—671no—
1036#469—671no—
1037#469—671no—
1038#468—671no—
1039#468—671no—
1040#468—671no—
1041#468—671no—
1042#467—671no—
1043#467—671no—
1044#466—671no—
1045#466—671no—
1046#465—671no—
1047#465—671no—
1048#465—671no—
1049#465—671no—
1050#464—671no—
1051#464—671no—
1052#463—671no—
1053#463—671no—
1054#462—671no—
1055#461—671no—
1056#460—671no—
1057#459—671no—
1058#452—671no—
1059#452—671no—
1060#452—671no—
1061#452—671no—
1062#451—671no—
1063#451—671no—
1064#450—671no—
1065#450—671no—
1066#449—671no—
1067#449—671no—
1068#449—671no—
1069#449—671no—
1070#448—671no—
1071#448—671no—
1072#447—671no—
1073#447—671no—
1074#442—671no—
1075#442—671no—
1076#441—671no—
1077#441—671no—
1078#440—671no—
1079#440—671no—
1080#440—671no—
1081#440—671no—
1082#435C2×D6711yescharacteristic
1083#435C2×D6711yescharacteristic
1084#435C2×D6711yescharacteristic, complemented
1085#435C2×D6711yescharacteristic, complemented
1086#435C2×D6711yescharacteristic, complemented
1087#435C2×D6711yescharacteristic, complemented
1088#435C2×D6711yescharacteristic, complemented
1089#435C2×D6711yescharacteristic, complemented
1090#427—671no—
1091#427—671no—
1092#427—671no—
1093C2×C4⋊C8C2×D6711yescharacteristic, complemented
1094#419—671no—
1095#419—671no—
1096#418—671no—
1097#418—671no—
1098#417—671no—
1099#417—671no—
1100#417—671no—
1101#417—671no—
1102#416—671no—
1103#416—671no—
1104#416—671no—
1105#416—671no—
1106#416—671no—
1107#416—671no—
1108#416—671no—
1109#416—671no—
1110#416—671no—
1111#416—671no—
1112#416—671no—
1113#416—671no—
1114#416—671no—
1115#416—671no—
1116C2×#103—671no—
1117C2×#103—671no—
1118C2×#102—671no—
1119C2×#102—671no—
1120C2×C22⋊C8C2×D6711yescharacteristic, complemented
1121C2×C22⋊C8C2×D6711yescharacteristic, complemented
1122C2×#97C2×D6711yescharacteristic, complemented
1123C2×#41—2682no—
1124C2×#41—2682no—
1125C2×#41—671no—
1126C2×#41—671no—
1127C2×#41—671no—
1128C2×#41—671no—
1129C2×#41—671no—
1130C2×#41—671no—
1131C2×#41—671no—
1132C2×#41—671no—
1133C2×#41—1344no—
1134C2×#41—1344no—
1135C2×#41—1341no—
1136C2×#41—1341no—
1137C2×#41—1341no—
1138C2×#41—1341no—
1139C2×#41—1341no—
1140C22×Q8—671no—
1141C22×Q8—671no—
1142C22×D4—671no—
1143C22×D4—671no—
1144C22×D4—1341no—
1145C22×D4—1341no—
1146C22×D4—1341no—
1147C22×D4D26811yescharacteristic
1148C23×C4—1341no—
1149C23×C4—1341no—
1150C23×C4C22×D6711yescharacteristic
1151C23×C4C22×D6711yescharacteristic
1152#135—2682no—
1153#135—2682no—
1154#135—1344no—
1155C2×Q16—671no—
1156C2×Q16—671no—
1157C2×Q16—671no—
1158C2×SD16—671no—
1159C2×SD16—671no—
1160C2×SD16—671no—
1161C2×SD16—671no—
1162C2×SD16—671no—
1163C2×SD16—671no—
1164C2×D8—671no—
1165C2×D8—671no—
1166C2×D8—671no—
1167C2×M16—42no—
1168C2×M16C22×D6711yescharacteristic
1169C2×M16C22×D6711yescharacteristic
1170C2×M16C22×D6711yescharacteristic
1171C2×M16C22×D6711yescharacteristic
1172C22×C8—42no—
1173C22×C8C22×D6711yescharacteristic
1174C22×C8C22×D6711yescharacteristic
1175C22×C8C22×D6711yescharacteristic
1176C22×C8C22×D6711yescharacteristic
1177C22×C8C22×D6711yescharacteristic
1178C22×C8C22×D6711yescharacteristic
1179C22×C8C22×D6711yescharacteristic
1180C22×C8C22×D6711yescharacteristic
1181C4⋊Q8—671no—
1182C4⋊Q8—671no—
1183C4⋊Q8—671no—
1184C4⋊Q8—1341no—
1185#127—671no—
1186#127—1341no—
1187#126—1341no—
1188#126—1341no—
1189#126—1341no—
1190#126—1341no—
1191#126—1341no—
1192#126—1341no—
1193#125—671no—
1194#125—671no—
1195#125—1341no—
1196#125—1341no—
1197#125—1341no—
1198#124—671no—
1199#124—671no—
1200#124—1341no—
1201#124—1341no—
1202#124—1341no—
1203#124—1341no—
1204#124—1341no—
1205#123—1341no—
1206#123—1341no—
1207#123—1341no—
1208#123—1341no—
1209#123—1341no—
1210#123—1341no—
1211#123—1341no—
1212#123—1341no—
1213#123—1341no—
1214#123—1341no—
1215#123—1341no—
1216#123—1341no—
1217#123—1341no—
1218#123—1341no—
1219C22⋊Q8—671no—
1220C22⋊Q8—671no—
1221C22⋊Q8—671no—
1222C22⋊Q8—671no—
1223C22⋊Q8—671no—
1224C22⋊Q8—671no—
1225C22⋊Q8—671no—
1226C22⋊Q8—671no—
1227C22⋊Q8—1341no—
1228C22⋊Q8—1341no—
1229C22⋊Q8—1341no—
1230C22⋊Q8—1341no—
1231C22⋊Q8—1341no—
1232C22⋊Q8—1341no—
1233C22⋊Q8—1341no—
1234C22⋊Q8—1341no—
1235C22⋊Q8—1341no—
1236#121—671no—
1237#121—671no—
1238#121—671no—
1239#121—671no—
1240#121—671no—
1241#121—671no—
1242#121—671no—
1243#121—671no—
1244#121—1341no—
1245#121—1341no—
1246#121—1341no—
1247#121—1341no—
1248#121—1341no—
1249#121—1341no—
1250#121—1341no—
1251#121—1341no—
1252#121—1341no—
1253#121—1341no—
1254#121—1341no—
1255#121—1341no—
1256#121—1341no—
1257#120—1341no—
1258#120—1341no—
1259#120—1341no—
1260#120—1341no—
1261#120—1341no—
1262#120—1341no—
1263#120—1341no—
1264#120—1341no—
1265C4×Q8—671no—
1266C4×Q8—671no—
1267C4×Q8—671no—
1268C4×Q8—671no—
1269C4×Q8—1341no—
1270C4×Q8—1341no—
1271C4×Q8—1341no—
1272C4×D4—671no—
1273C4×D4—671no—
1274C4×D4—671no—
1275C4×D4—671no—
1276C4×D4—1341no—
1277C4×D4—1341no—
1278C4×D4—1341no—
1279C4×D4—1341no—
1280C4×D4—1341no—
1281C4×D4—1341no—
1282C4×D4—1341no—
1283C4×D4—1341no—
1284C4×D4—1341no—
1285C4×D4—1341no—
1286C4×D4—1341no—
1287C4×D4—1341no—
1288C4×D4—1341no—
1289C4×D4—1341no—
1290C4×D4—1341no—
1291C4×D4—1341no—
1292C4×D4—1341no—
1293C4×D4—1341no—
1294C4×D4—1341no—
1295C4×D4—1341no—
1296C4×D4—1341no—
1297C4×D4D26811yescharacteristic
1298C4×D4D26811yescharacteristic
1299C4×D4D26811yescharacteristic
1300C4×D4D26811yescharacteristic
1301C4×D4C22×D6711yescharacteristic
1302C4×D4C22×D6711yescharacteristic
1303C4×D4C22×D6711yescharacteristic
1304C4×D4C22×D6711yescharacteristic
1305#117—671no—
1306#117—671no—
1307#117—671no—
1308#117—671no—
1309#117—671no—
1310#117—671no—
1311#117—671no—
1312#117—671no—
1313#117—1341no—
1314#117—1341no—
1315#117—1341no—
1316#117—1341no—
1317#117—1341no—
1318#117—1341no—
1319#117—1341no—
1320#117—1341no—
1321#117—1341no—
1322C2×C4⋊C4—671no—
1323C2×C4⋊C4—671no—
1324C2×C4⋊C4—671no—
1325C2×C4⋊C4—671no—
1326C2×C4⋊C4—1341no—
1327C2×C4⋊C4D26811yescharacteristic
1328C2×C22⋊C4—1341no—
1329C2×C22⋊C4—1341no—
1330C2×C22⋊C4—1341no—
1331C2×C22⋊C4—1341no—
1332C2×C22⋊C4D26811yescharacteristic
1333C2×C22⋊C4D26811yescharacteristic
1334C2×C42—1341no—
1335C2×C42—1341no—
1336C2×C42—1341no—
1337C2×C42—1341no—
1338C2×C42C22×D6711yescharacteristic
1339#107—671no—
1340#107—671no—
1341#107—671no—
1342#107—671no—
1343#107—671no—
1344#107—671no—
1345#106—671no—
1346#106—671no—
1347#106—671no—
1348#106—671no—
1349#106—671no—
1350#106—671no—
1351C4⋊C8C22×D6711yescharacteristic
1352C4⋊C8C22×D6711yescharacteristic
1353C4⋊C8C22×D6711yescharacteristic
1354C4⋊C8C22×D6711yescharacteristic
1355#103—671no—
1356#103—671no—
1357#103—671no—
1358#103—671no—
1359#103—671no—
1360#103—671no—
1361#103—671no—
1362#103—671no—
1363#103—671no—
1364#103—671no—
1365#103—671no—
1366#103—671no—
1367#103—671no—
1368#103—671no—
1369#103—671no—
1370#103—671no—
1371#103—671no—
1372#103—671no—
1373#103—671no—
1374#103—671no—
1375#102—671no—
1376#102—671no—
1377#102—671no—
1378#102—671no—
1379#102—671no—
1380#102—671no—
1381#102—671no—
1382#102—671no—
1383#102—671no—
1384#102—671no—
1385#102—671no—
1386#102—671no—
1387#102—671no—
1388#102—671no—
1389#102—671no—
1390#102—671no—
1391#102—671no—
1392#102—671no—
1393#102—671no—
1394#102—671no—
1395C22⋊C8C22×D6711yescharacteristic
1396C22⋊C8C22×D6711yescharacteristic
1397C22⋊C8C22×D6711yescharacteristic
1398C22⋊C8C22×D6711yescharacteristic
1399C22⋊C8C22×D6711yescharacteristic
1400C22⋊C8C22×D6711yescharacteristic
1401C22⋊C8C22×D6711yescharacteristic
1402C22⋊C8C22×D6711yescharacteristic
1403#97C22×D6711yescharacteristic
1404#97C22×D6711yescharacteristic
1405#97C22×D6711yescharacteristic
1406#97C22×D6711yescharacteristic
1407C24—1341no—
1408C24—1341no—
1409C24C2×D26811yescharacteristic
1410C24C2×D26811yescharacteristic
1411#41—2684no—
1412#41—2684no—
1413#41—2681no—
1414#41—2681no—
1415#41—2681no—
1416#41—2681no—
1417#41—2684no—
1418#41—2684no—
1419#41—2684no—
1420#41—674no—
1421#41—1342no—
1422#41—1342no—
1423#41—1342no—
1424#41—1342no—
1425#41—1342no—
1426#41—1342no—
1427#41—1342no—
1428#41—1342no—
1429#41—1342no—
1430#41—1342no—
1431#41—1342no—
1432C2×Q8—2681no—
1433C2×Q8—2681no—
1434C2×Q8—671no—
1435C2×Q8—671no—
1436C2×Q8—671no—
1437C2×Q8—671no—
1438C2×Q8—1342no—
1439C2×Q8—1342no—
1440C2×Q8—1341no—
1441C2×Q8—1341no—
1442C2×Q8—1341no—
1443C2×Q8—1341no—
1444C2×D4—42no—
1445C2×D4—2681no—
1446C2×D4—2681no—
1447C2×D4—2684no—
1448C2×D4—2684no—
1449C2×D4—2684no—
1450C2×D4—671no—
1451C2×D4—671no—
1452C2×D4—671no—
1453C2×D4—671no—
1454C2×D4—1342no—
1455C2×D4—1342no—
1456C2×D4—1341no—
1457C2×D4—1341no—
1458C2×D4—1341no—
1459C2×D4—1341no—
1460C2×D4—1341no—
1461C2×D4—1341no—
1462C2×D4—1341no—
1463C2×D4—1341no—
1464C2×D4—1341no—
1465C2×D4—1341no—
1466C2×D4—1341no—
1467C2×D4—1341no—
1468C2×D4—1341no—
1469C2×D4—1341no—
1470C2×D4—1341no—
1471C2×D4—1341no—
1472C2×D4—1341no—
1473C2×D4—1341no—
1474C2×D4—1341no—
1475C2×D4—1341no—
1476C2×D4C2×D26811yescharacteristic
1477C2×D4C2×D26811yescharacteristic
1478C2×D4C2×D26811yescharacteristic
1479C2×D4C2×D26811yescharacteristic
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—2684no—
1485C22×C4—2684no—
1486C22×C4—1341no—
1487C22×C4—1341no—
1488C22×C4—1341no—
1489C22×C4—1341no—
1490C22×C4—1341no—
1491C22×C4—1341no—
1492C22×C4—1341no—
1493C22×C4—1341no—
1494C22×C4—1341no—
1495C22×C4—1341no—
1496C22×C4—1341no—
1497C22×C4—1341no—
1498C22×C4—1341no—
1499C22×C4—1341no—
1500C22×C4—1341no—
1501C22×C4—1341no—
1502C22×C4—1341no—
1503C22×C4—1341no—
1504C22×C4C2×D26811yescharacteristic
1505C22×C4C2×D26811yescharacteristic
1506C22×C4C2×D26811yescharacteristic
1507C22×C4C2×D26811yescharacteristic
1508C22×C4C2×D26811yescharacteristic
1509C22×C4C2×D26811yescharacteristic
1510C22×C4C2×D26811yescharacteristic
1511C22×C4C2×D26811yescharacteristic
1512C22×C4C23×D6711yescharacteristic
1513C22×C4C23×D6711yescharacteristic
1514C22×C4C23×D6711yescharacteristic
1515C22×C4C23×D6711yescharacteristic
1516C22×C4C23×D6711yescharacteristic
1517Q16—2681no—
1518Q16—2681no—
1519Q16—1342no—
1520SD16—2681no—
1521SD16—2681no—
1522SD16—2681no—
1523SD16—2681no—
1524SD16—1342no—
1525SD16—1342no—
1526D8—2681no—
1527D8—2681no—
1528D8—1342no—
1529M16—41no—
1530M16—41no—
1531M16—41no—
1532M16—41no—
1533C2×C8—22no—
1534C2×C8—22no—
1535C2×C8—22no—
1536C2×C8—22no—
1537C2×C8—41no—
1538C2×C8—41no—
1539C2×C8—41no—
1540C2×C8—41no—
1541C2×C8C23×D6711yescharacteristic
1542C2×C8C23×D6711yescharacteristic
1543C2×C8C23×D6711yescharacteristic
1544C2×C8C23×D6711yescharacteristic
1545C2×C8C23×D6711yescharacteristic
1546C2×C8C23×D6711yescharacteristic
1547C2×C8C23×D6711yescharacteristic
1548C2×C8C23×D6711yescharacteristic
1549C4⋊C4—671no—
1550C4⋊C4—671no—
1551C4⋊C4—671no—
1552C4⋊C4—671no—
1553C4⋊C4—671no—
1554C4⋊C4—671no—
1555C4⋊C4—671no—
1556C4⋊C4—671no—
1557C4⋊C4—1341no—
1558C4⋊C4—1341no—
1559C4⋊C4—1341no—
1560C4⋊C4—1341no—
1561C4⋊C4—1341no—
1562C4⋊C4—1341no—
1563C4⋊C4—1341no—
1564C4⋊C4—1341no—
1565C4⋊C4—1341no—
1566C4⋊C4—1341no—
1567C4⋊C4—1341no—
1568C4⋊C4—1341no—
1569C4⋊C4—1341no—
1570C4⋊C4—1341no—
1571C4⋊C4—1341no—
1572C4⋊C4—1341no—
1573C4⋊C4—1341no—
1574C4⋊C4—1341no—
1575C4⋊C4—1341no—
1576C4⋊C4—1341no—
1577C4⋊C4—1341no—
1578C4⋊C4—1341no—
1579C4⋊C4—1341no—
1580C4⋊C4—1341no—
1581C4⋊C4C2×D26811yescharacteristic
1582C4⋊C4C2×D26811yescharacteristic
1583C4⋊C4C2×D26811yescharacteristic
1584C4⋊C4C2×D26811yescharacteristic
1585C22⋊C4—1341no—
1586C22⋊C4—1341no—
1587C22⋊C4—1341no—
1588C22⋊C4—1341no—
1589C22⋊C4—1341no—
1590C22⋊C4—1341no—
1591C22⋊C4—1341no—
1592C22⋊C4—1341no—
1593C22⋊C4—1341no—
1594C22⋊C4—1341no—
1595C22⋊C4—1341no—
1596C22⋊C4—1341no—
1597C22⋊C4—1341no—
1598C22⋊C4—1341no—
1599C22⋊C4—1341no—
1600C22⋊C4—1341no—
1601C22⋊C4—1341no—
1602C22⋊C4—1341no—
1603C22⋊C4—1341no—
1604C22⋊C4—1341no—
1605C22⋊C4—1341no—
1606C22⋊C4—1341no—
1607C22⋊C4—1341no—
1608C22⋊C4—1341no—
1609C22⋊C4—1341no—
1610C22⋊C4—1341no—
1611C22⋊C4—1341no—
1612C22⋊C4—1341no—
1613C22⋊C4—1341no—
1614C22⋊C4—1341no—
1615C22⋊C4—1341no—
1616C22⋊C4—1341no—
1617C22⋊C4C2×D26811yescharacteristic
1618C22⋊C4C2×D26811yescharacteristic
1619C22⋊C4C2×D26811yescharacteristic
1620C22⋊C4C2×D26811yescharacteristic
1621C22⋊C4C2×D26811yescharacteristic
1622C22⋊C4C2×D26811yescharacteristic
1623C22⋊C4C2×D26811yescharacteristic
1624C22⋊C4C2×D26811yescharacteristic
1625C42—1341no—
1626C42—1341no—
1627C42—1341no—
1628C42—1341no—
1629C42—1341no—
1630C42—1341no—
1631C42—1341no—
1632C42—1341no—
1633C42—1341no—
1634C42—1341no—
1635C42—1341no—
1636C42—1341no—
1637C42C2×D26811yescharacteristic
1638C42C2×D26811yescharacteristic
1639C42C23×D6711yescharacteristic
1640C42C23×D6711yescharacteristic
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—41no—
1645C23—41no—
1646C23—41no—
1647C23—2682no—
1648C23—2682no—
1649C23—2682no—
1650C23—2682no—
1651C23—5361no—
1652C23—5361no—
1653C23—1341no—
1654C23—1341no—
1655C23—1341no—
1656C23—1341no—
1657C23C22×D26811yescharacteristic
1658C23C22×D26811yescharacteristic
1659C23C22×D26811yescharacteristic
1660C23C22×D26811yescharacteristic
1661C23C22×D26811yescharacteristic
1662Q8—2682no—
1663Q8—2682no—
1664Q8—2682no—
1665Q8—5361no—
1666Q8—672no—
1667Q8—1341no—
1668Q8—1341no—
1669Q8—1341no—
1670Q8—1341no—
1671Q8—1341no—
1672Q8—1341no—
1673Q8—1341no—
1674D4—22no—
1675D4—22no—
1676D4—41no—
1677D4—41no—
1678D4—2682no—
1679D4—2682no—
1680D4—2682no—
1681D4—2682no—
1682D4—2682no—
1683D4—2682no—
1684D4—2682no—
1685D4—2682no—
1686D4—2682no—
1687D4—2682no—
1688D4—2682no—
1689D4—2682no—
1690D4—2682no—
1691D4—2682no—
1692D4—5361no—
1693D4—5361no—
1694D4—5361no—
1695D4—5361no—
1696D4—5361no—
1697D4—672no—
1698D4—1344no—
1699D4—1341no—
1700D4—1341no—
1701D4—1341no—
1702D4—1341no—
1703D4—1341no—
1704D4—1341no—
1705D4—1341no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—2682no—
1723C2×C4—2682no—
1724C2×C4—2682no—
1725C2×C4—2682no—
1726C2×C4—2682no—
1727C2×C4—2682no—
1728C2×C4—2682no—
1729C2×C4—2682no—
1730C2×C4—2682no—
1731C2×C4—2682no—
1732C2×C4—2682no—
1733C2×C4—2682no—
1734C2×C4—2682no—
1735C2×C4—5361no—
1736C2×C4—5361no—
1737C2×C4—5361no—
1738C2×C4—5361no—
1739C2×C4—1341no—
1740C2×C4—1341no—
1741C2×C4—1341no—
1742C2×C4—1341no—
1743C2×C4—1341no—
1744C2×C4—1341no—
1745C2×C4—1341no—
1746C2×C4—1341no—
1747C2×C4—1341no—
1748C2×C4—1341no—
1749C2×C4—1341no—
1750C2×C4—1341no—
1751C2×C4—1344no—
1752C2×C4C22×D26811yescharacteristic
1753C2×C4C22×D26811yescharacteristic
1754C2×C4C22×D26811yescharacteristic
1755C2×C4C22×D26811yescharacteristic
1756C2×C4C22×D26811yescharacteristic
1757C2×C4C22×D26811yescharacteristic
1758C2×C4C22×D26811yescharacteristic
1759C2×C4C22×D26811yescharacteristic
1760C2×C4C22×D26811yescharacteristic
1761C2×C4#41×D6712yes—
1762C2×C4#1452408812yes—
1763C2×C4C24×D6711yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—44no—
1786C22—82no—
1787C22—2681no—
1788C22—2681no—
1789C22—2681no—
1790C22—2681no—
1791C22—2681no—
1792C22—2681no—
1793C22—2681no—
1794C22—2681no—
1795C22—2681no—
1796C22—2681no—
1797C22—2681no—
1798C22—5364no—
1799C22—5364no—
1800C22—1342no—
1801C22#1686404112yes—
1802C22#1686419612yes—
1803C22C23×D26811yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—2681no—
1813C4—2681no—
1814C4—2681no—
1815C4—2681no—
1816C4—2681no—
1817C4—2681no—
1818C4—2681no—
1819C4—2681no—
1820C4—2681no—
1821C4—2681no—
1822C4—2681no—
1823C4—1342no—
1824C4#1686404112yes—
1825C4C2×#41×D6711yescharacteristic
1826C4C2×#1452408811yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—2682no—
1833C2—5361no—
1834C2—5361no—
1835C2—5361no—
1836C2C2×#1686404111yescharacteristic
1837C2C2×#1686419611yescharacteristic
1838C2#2257498311yescharacteristic
subgroupG/H
centerC2×C4C22×D268
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC2×#435×C67C2
socleC22×C67C23×D4
hypercenterC2×#435D67
hypocenterC67#61141
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. #22573767C2semidirect
2. D4×#11761628C2semidirect
3. #22572397C2semidirect
4. #22572382C2semidirect
5. #22572367C2semidirect
6. #22572352C2semidirect
7. #22572337C2semidirect
8. #22572322C2semidirect
9. #22572307C2semidirect
10. #22572292C2semidirect
11. #22572277C2semidirect
12. #22572262C2semidirect
13. #22572247C2semidirect
14. #22572232C2semidirect
15. #22572217C2semidirect
16. #22572202C2semidirect
17. #22572187C2semidirect
18. #22572172C2semidirect
19. #22570555C2semidirect
20. #22570124C2semidirect
21. #22570124C2semidirect
22. #22569999C2semidirect
23. #22569818C2semidirect
24. #22569790C2semidirect
25. #22569666C2semidirect
26. #22569431C2semidirect
27. #22569431C2semidirect
28. #22569011C2semidirect
29. #22568729C2semidirect
30. C2×#16863393C2semidirect
31. C2×#435×C67C2semidirect
35. C2×#14524065C22semidirect
36. C2×#14524065C22semidirect
37. #16864116C22semidirect
38. #16864111C22semidirect
39. #16864103C22semidirect
41. #16864092C22semidirect
43. #16864086C22semidirect
52. #16864050C22semidirect
61. #16863953C22semidirect
69. #16863907C22semidirect
70. #16863907C22semidirect
74. C4×#11761628C22semidirect
77. C2×#14524002C22semidirect
78. C2×#14524002C22semidirect
79. #16863765C22semidirect
80. #16863765C22semidirect
81. #16863761C22semidirect
82. #16863761C22semidirect
83. #16863756C22semidirect
84. #16863756C22semidirect
85. #16863756C22semidirect
86. #16863756C22semidirect
87. #16863738C22semidirect
88. #16863738C22semidirect
89. #16863738C22semidirect
90. #16863738C22semidirect
91. #16863732C22semidirect
92. #16863732C22semidirect
93. #16863727C22semidirect
94. #16863727C22semidirect
95. #16863721C22semidirect
96. #16863721C22semidirect
97. #16863721C22semidirect
98. #16863721C22semidirect
99. #16863715C22semidirect
100. #16863715C22semidirect
101. #16863710C22semidirect
102. #16863710C22semidirect
103. #16863704C22semidirect
104. #16863704C22semidirect
105. #16863697C22semidirect
106. #16863697C22semidirect
107. #16863692C22semidirect
108. #16863687C22semidirect
109. #16863682C22semidirect
110. #16863677C22semidirect
111. #16863654C22semidirect
112. #16863654C22semidirect
113. #16863649C22semidirect
114. #16863649C22semidirect
115. #16863642C22semidirect
116. #16863642C22semidirect
117. #16863642C22semidirect
118. #16863642C22semidirect
119. #16863637C22semidirect
120. #16863637C22semidirect
121. #16863632C22semidirect
122. #16863632C22semidirect
123. #16863625C22semidirect
124. #16863625C22semidirect
125. #16863625C22semidirect
126. #16863625C22semidirect
127. #16863619C22semidirect
128. #16863619C22semidirect
129. #16863612C22semidirect
130. #16863612C22semidirect
131. #16863607C22semidirect
132. #16863602C22semidirect
133. #16863597C22semidirect
134. #16863592C22semidirect
135. #16863560C22semidirect
136. #16863560C22semidirect
137. #16863560C22semidirect
138. #16863560C22semidirect
139. #16863554C22semidirect
140. #16863554C22semidirect
141. #16863549C22semidirect
142. #16863549C22semidirect
143. #16863543C22semidirect
144. #16863543C22semidirect
145. #16863543C22semidirect
146. #16863543C22semidirect
147. #16863537C22semidirect
148. #16863537C22semidirect
149. #16863532C22semidirect
150. #16863532C22semidirect
151. #16863509C22semidirect
152. #16863509C22semidirect
153. #16863504C22semidirect
154. #16863504C22semidirect
155. #16863498C22semidirect
156. #16863498C22semidirect
157. #16863498C22semidirect
158. #16863498C22semidirect
159. #16863434C22semidirect
160. #16863434C22semidirect
161. #16863434C22semidirect
162. #16863406C22semidirect
163. #16863406C22semidirect
164. #16863402C22semidirect
165. #16863402C22semidirect
166. #16863398C22semidirect
167. #16863398C22semidirect
168. #16863398C22semidirect
169. #16863398C22semidirect
173. #16863393C22semidirect
174. #16863393C22semidirect
175. #16863393C22semidirect
176. #16863393C22semidirect
177. #16863393C22semidirect
178. #16863393C22semidirect
179. #16863393C22semidirect
180. #16863393C22semidirect
181. #16863393C22semidirect
182. #16863393C22semidirect
183. #16863393C22semidirect
184. C2×#14523968C22semidirect
185. C2×#14523968C22semidirect
186. C2×#14523965C22semidirect
187. C2×#14523965C22semidirect
188. C22×M16×C67C22semidirect
189. C23×C8×C67C22semidirect
193. #435×C67C22semidirect
194. #435×C67C22semidirect
195. #435×C67C22semidirect
196. #435×C67C22semidirect
197. #435×C67C22semidirect
198. #435×C67C22semidirect
199. C2×C4⋊C8×C67C22semidirect
200. C2×C22⋊C8×C67C22semidirect
201. C2×C22⋊C8×C67C22semidirect
202. C2×#97×C67C22semidirect
508. #11761628#41semidirect
948. C2×#435D67semidirect
951. C67#61141semidirect
957. C22×M16C2×D67semidirect
958. C23×C8C2×D67semidirect
1084. #435C2×D67semidirect
1085. #435C2×D67semidirect
1086. #435C2×D67semidirect
1087. #435C2×D67semidirect
1088. #435C2×D67semidirect
1089. #435C2×D67semidirect
1093. C2×C4⋊C8C2×D67semidirect
1120. C2×C22⋊C8C2×D67semidirect
1121. C2×C22⋊C8C2×D67semidirect
1122. C2×#97C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225737672
D4×#117616282
#225723972
#225723822
#225723672
#225723522
#225723372
#225723222
#225723072
#225722922
#225722772
#225722622
#225722472
#225722322
#225722172
#225722022
#225721872
#225721722
#225705552
#225701242
#225699992
#225698182
#225697902
#225696662
#225694312
#225690112
#225687292
C2×#168633932
C2×#435×C672
#6114167