Finite Group Databasebeta

← #31764123

Subgroups — #31764123

Order 17152.

7190 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574315C214yesmaximal, complemented
2#22574309C214yesmaximal, complemented
3#22574219C214yesmaximal, complemented
4#22574208C214yesmaximal, complemented
5#22574056C214yesmaximal, complemented
6#22574054C212yesmaximal, complemented
7#22574017C211yesmaximal, characteristic, complemented
8#22573978C211yesmaximal, characteristic, complemented
9#22573929C211yesmaximal, characteristic, complemented
10#22573921C214yesmaximal, complemented
11#22573863C212yesmaximal, complemented
12#22573834C214yesmaximal, complemented
13#22573823C214yesmaximal, complemented
14#22573803C214yesmaximal, complemented
15#22573801C214yesmaximal, complemented
16#22573632C211yesmaximal, characteristic, complemented
17#22573628C214yesmaximal, complemented
18#22573626C211yesmaximal, characteristic, complemented
19#22573503C214yesmaximal, complemented
20#22573501C212yesmaximal, complemented
21#22573420C212yesmaximal, complemented
22C2×#16863864C211yesmaximal, characteristic, complemented
23C67×#3493C211yesmaximal, characteristic, complemented
24C2×#14524090C2212yes—
25C22×#11761628C2211yescharacteristic
26#16864131C2214yescomplemented
27#16864130C2218yescomplemented
28#16864129C2214yescomplemented
29#16864128C2218yescomplemented
30#16864126C2214yescomplemented
31#16864123C2214yescomplemented
32#16864123C2214yescomplemented
33#16864121C2214yescomplemented
34#16864118C2218yescomplemented
35#16864118C2214yescomplemented
36#16864114C2214yescomplemented
37#16864113C2218yescomplemented
38#16864113C2218yescomplemented
39#16864109C2218yescomplemented
40#16864109C2214yescomplemented
41#16864109C2214yescomplemented
42#16864108C2218yescomplemented
43#16864108C2218yescomplemented
44#16864097C2218yescomplemented
45#16864097C2218yescomplemented
46#16864095C2218yescomplemented
47#16864094C2214yescomplemented
48#16864090C2214yescomplemented
49#16864090C2214yescomplemented
50#16864089C2218yescomplemented
51#16864085C2214yescomplemented
52#16864079C2218yescomplemented
53#16864078C2218yescomplemented
54#16864067C2214yes—
55#16864067C2214yes—
56#16864067C2214yescomplemented
57#16864064C2214yes—
58#16864064C2214yes—
59#16864064C2214yescomplemented
60#16864064C2218yescomplemented
61#16864059C2214yescomplemented
62#16864056C2214yes—
63#16864056C2214yes—
64#16864056C2214yescomplemented
65#16864055C2214yes—
66#16864055C2214yes—
67#16864052C2214yescomplemented
68#16864047C2214yescomplemented
69#16864044C2218yescomplemented
70#16864027C2211yescharacteristic
71#16864025C2214yes—
72#16864020C2214yescomplemented
73#16864019C2214yescomplemented
74#16864012C2218yescomplemented
75#16864010C2218yescomplemented
76#16864002C2214yescomplemented
77#16863999C2214yescomplemented
78#16863998C2218yescomplemented
79#16863996C2218yescomplemented
80#16863986C2214yes—
81#16863984C2214yes—
82#16863983C2214yes—
83#16863979C2218yes—
84#16863977C2211yescharacteristic
85#16863973C2214yes—
86#16863965C2212yes—
87#16863961C2218yes—
88#16863960C2212yes—
89#16863952C2214yescomplemented
90#16863950C2214yescomplemented
91#16863949C2212yes—
92#16863948C2214yes—
93#16863948C2212yescomplemented
94#16863948C2212yescomplemented
95#16863947C2214yescomplemented
96#16863945C2214yescomplemented
97#16863945C2218yescomplemented
98#16863943C2214yescomplemented
99#16863942C2212yes—
100#16863941C2214yes—
101#16863941C2212yescomplemented
102#16863941C2214yescomplemented
103#16863941C2218yescomplemented
104#16863941C2212yescomplemented
105#16863932C2214yescomplemented
106#16863932C2212yescomplemented
107#16863932C2212yescomplemented
108#16863931C2214yescomplemented
109#16863931C2214yescomplemented
110#16863930C2214yes—
111#16863929C2218yescomplemented
112#16863929C2218yescomplemented
113#16863929C2218yescomplemented
114#16863927C2212yescomplemented
115#16863927C2212yescomplemented
116#16863926C2214yescomplemented
117#16863926C2214yescomplemented
118#16863925C2214yescomplemented
119#16863924C2218yescomplemented
120#16863923C2214yes—
121#16863923C2214yes—
122#16863923C2218yescomplemented
123#16863909C2214yes—
124#16863907C2212yes—
125#16863906C2214yes—
126#16863905C2218yes—
127#16863904C2218yes—
128#16863902C2214yes—
129#16863902C2214yes—
130#16863877C2212yes—
131#16863877C2214yescomplemented
132#16863875C2218yes—
133#16863875C2214yescomplemented
134#16863873C2212yes—
135#16863873C2214yescomplemented
136#16863872C2214yescomplemented
137#41×Dic67C2212yes—
138C4×#11761629C2214yescomplemented
139#16863864C2214yes—
140#16863864C2212yes—
141#16863864C2214yes—
142#16863864C2214yes—
143#16863864C2214yes—
144#16863864C2214yescomplemented
145#16863864C2218yescomplemented
146C4×#11761627C2218yes—
147C4×#11761627C2214yescomplemented
148C4×#11761627C2214yescomplemented
149C4×#11761627C2214yescomplemented
150C4×#11761627C2214yescomplemented
151C2×#14524008C2211yescharacteristic
152C2×#14524008C2211yescharacteristic
153C2×#14524008C2214yescomplemented
154C4×Q8×D67C2214yescomplemented
155C2×#14524005C2211yescharacteristic
156C2×#14524005C2211yescharacteristic
157C2×(C22⋊D67)⋊C4C2212yes—
158C2×(C22⋊D67)⋊C4C2212yes—
159C2×#14524000C2212yes—
160C22×C4×Dic67C2211yescharacteristic
161C2×C42×D67C2212yes—
162#556×C67C2214yescomplemented
163#555×C67C2214yescomplemented
164#553×C67C2214yescomplemented
165#552×C67C2214yescomplemented
166#544×C67C2211yescharacteristic
167#538×C67C2214yes—
168#537×C67C2211yescharacteristic
169#529×C67C2214yes—
170#525×C67C2212yes—
171#520×C67C2212yes—
172C2×#117×C67C2211yescharacteristic
173#14524090—216no—
174C2×#11761629C2314yes—
175C2×#11761628—28no—
176C2×#11761628C2314yes—
177C2×#11761628C2314yes—
178C2×#11761628C2314yes—
179C2×#11761628C2312yes—
180C2×#11761628C2318yes—
181C2×#11761627C2314yes—
182C2×#11761627C2318yes—
183C2×#11761627C2314yes—
184C2×#11761627C2314yes—
185C2×#11761627C2314yes—
186C22×Dic134C2314yes—
187C22×Dic134C2311yescharacteristic
188C2×Q8×D67C2314yes—
189C22×D268C2311yescharacteristic
190C22×C22⋊D67C2312yes—
191C23×Dic67C2311yescharacteristic
192C23×Dic67C2311yescharacteristic
193C22×C4×D67C2312yes—
194C22×C4×D67C2312yes—
195C22×C4×D67C2312yes—
196#14524042C2318yes—
197#14524042C2314yes—
198#14524042C2314yes—
199#14524042C2312yes—
200#14524042C2314yes—
201#14524042C2312yes—
202#14524041C2318yes—
203#14524041C2312yes—
204#14524041C2314yes—
205#14524040C2314yes—
206#14524039C2314yes—
207#14524039C2318yes—
208#14524039C2318yes—
209#14524039C2314yes—
210#14524039C2312yes—
211#14524038C2318yes—
212#14524038C2318yes—
213#14524038C2318yes—
214#14524038C2314yes—
215#14524038C2314yes—
216#14524037C2318yes—
217#14524037C2318yes—
218#14524036C2318yes—
219#14524036C2314yes—
220#14524036C2314yes—
221#14524035C2314yes—
222#14524034C2314yes—
223#14524034C2312yes—
224#14524034C2312yes—
225#14524033C2318yes—
226#14524033C2318yes—
227#14524033C2314yes—
228#14524033C2318yes—
229#14524033C2314yes—
230#14524032C2314yes—
231#14524032C2318yes—
232#14524032C2312yes—
233#14524031C2318yes—
234#14524031C2314yes—
235#14524031C2314yes—
236#14524030C2312yes—
237#14524029C2318yes—
238#14524029C2318yes—
239#14524029C2318yes—
240#14524029C2318yes—
241#14524029C2318yes—
242#14524029C2318yes—
243#14524029C2314yes—
244#14524029C2314yes—
245#14524028C2318yes—
246#14524028C2318yes—
247#14524028C2318yes—
248#14524028C2318yes—
249#14524027C2314yes—
250#14524027C2318yes—
251#14524027C2314yes—
252#14524026C2318yes—
253#14524026C2314yes—
254#14524025C2318yes—
255#14524025C2318yes—
256#14524025C2318yes—
257#14524024C2314yes—
258#14524024C2314yes—
259#14524023C2314yes—
260#14524023C2314yes—
261#14524022C2314yes—
262#14524022C2312yes—
263#14524022C2312yes—
264#14524021C2318yes—
265#14524021C2318yes—
266#14524021C2318yes—
267#14524021C2318yes—
268#14524020C2314yes—
269#14524020C2318yes—
270#14524020C2314yes—
271#14524020C2314yes—
272#14524020C2314yes—
273#14524019C2314yes—
274#14524018C2314yes—
275#14524018C2314yes—
276#14524018C2314yes—
277#14524018C2318yes—
278#14524018C2314yes—
279#14524017C2314yes—
280#14524017C2314yes—
281#14524017C2312yes—
282#14524017C2312yes—
283#14524017C2318yes—
284#14524017C2314yes—
285#14524016C2318yes—
286#14524016C2318yes—
287#14524016C2318yes—
288#14524016C2318yes—
289#14524016C2318yes—
290#14524016C2318yes—
291#14524016C2318yes—
292#14524016C2318yes—
293#14524015C2318yes—
294#14524015C2318yes—
295#14524015C2318yes—
296#14524015C2314yes—
297#14524015C2318yes—
298#14524015C2314yes—
299#14524015C2314yes—
300#14524015C2314yes—
301#14524014C2314yes—
302#14524013C2318yes—
303#14524012C2314yes—
304#14524011C2318yes—
305Q8×Dic67C2312yes—
306Q8×Dic67C2312yes—
307Q8×Dic67C2314yes—
308C4×Dic134C2318yes—
309C4×Dic134C2314yes—
310C4×Dic134C2314yes—
311C4×Dic134C2314yes—
312C4×Dic134C2318yes—
313C4×Dic134C2314yes—
314C4×Dic134C2314yes—
315#14524008C2312yes—
316#14524008C2314yes—
317#14524008C2314yes—
318#14524008C2314yes—
319#14524008C2314yes—
320#14524008C2318yes—
321#14524008C2318yes—
322#14524008C2314yes—
323#14524008C2314yes—
324#14524008C2314yes—
325#14524008C2318yes—
326#14524008C2314yes—
327#14524008C2312yes—
328#14524008C2314yes—
329#14524008C2314yes—
330C4×D268C2314yes—
331C4×D268C2318yes—
332D4×Dic67C2314yes—
333D4×Dic67C2314yes—
334D4×Dic67C2314yes—
335D4×Dic67C2312yes—
336D4×Dic67C2314yes—
337D4×Dic67C2314yes—
338D4×Dic67C2312yes—
339#14524005C2312yes—
340#14524005C2314yes—
341#14524005C2314yes—
342#14524005C2318yes—
343#14524005C2318yes—
344#14524005C2314yes—
345#14524005C2314yes—
346#14524005C2314yes—
347#14524005C2314yes—
348#14524005C2312yes—
349#14524005C2318yes—
350C4×C22⋊D67C2314yes—
351C4×C22⋊D67C2314yes—
352C4×C22⋊D67C2314yes—
353C4×C22⋊D67C2314yes—
354C4×C22⋊D67C2318yes—
355C4×C22⋊D67C2318yes—
356C4×C22⋊D67C2318yes—
357C4×C22⋊D67C2318yes—
358(C22⋊D67)⋊C4C2318yes—
359(C22⋊D67)⋊C4C2318yes—
360(C22⋊D67)⋊C4C2318yes—
361(C22⋊D67)⋊C4C2318yes—
362(C22⋊D67)⋊C4C2318yes—
363(C22⋊D67)⋊C4C2318yes—
364(C22⋊D67)⋊C4C2318yes—
365(C22⋊D67)⋊C4C2314yes—
366(C22⋊D67)⋊C4C2314yes—
367(C22⋊D67)⋊C4C2318yes—
368(C22⋊D67)⋊C4C2314yes—
369(C22⋊D67)⋊C4C2318yes—
370(C22⋊D67)⋊C4C2314yes—
371(C22⋊D67)⋊C4C2314yes—
372(C22⋊D67)⋊C4C2314yes—
373(C22⋊D67)⋊C4C2318yes—
374#14524002C2314yes—
375#14524002C2312yes—
376#14524001C2318yes—
377#14524001C2314yes—
378#14524001C2314yes—
379#14524001C2314yes—
380#14524001C2314yes—
381#14524001C2314yes—
382#14524000C2314yes—
383#14524000C2318yes—
384#14524000C2318yes—
385#14524000C2318yes—
386#14524000C2318yes—
387#14524000C2318yes—
388#14523999C2318yes—
389#14523999C2318yes—
390#14523999C2314yes—
391#14523999C2318yes—
392#14523999C2314yes—
393#14523999C2314yes—
394#14523999C2314yes—
395C2×Dic67⋊C4C2312yes—
396C2×Dic67⋊C4C2318yes—
397C2×Dic67⋊C4C2312yes—
398C4⋊C4×D67C2318yes—
399C4⋊C4×D67C2314yes—
400C2×(C2×D67)⋊C4C2312yes—
401C2×(C2×D67)⋊C4C2312yes—
402C2×C4×Dic67C2311yescharacteristic
403C2×C4×Dic67C2312yes—
404C2×C4×Dic67C2312yes—
405C2×C4×Dic67C2311yescharacteristic
406C2×C4×Dic67C2311yescharacteristic
407C2×C4×Dic67C2311yescharacteristic
408C2×C4×Dic67C2312yes—
409C2×C4×Dic67C2312yes—
410C2×C4×Dic67C2312yes—
411C2×C4×Dic67C2312yes—
412C2×C4×Dic67C2318yes—
413C2×C4×Dic67C2314yes—
414C42×D67C2314yes—
415C42×D67C2314yes—
416C42×D67C2314yes—
417C42×D67C2314yes—
418C42×D67C2318yes—
419C42×D67C2314yes—
420C2×#41×C67C2312yes—
421C23×C4×C67C2311yescharacteristic
422C4⋊Q8×C67C2314yes—
423#126×C67C2318yes—
424#126×C67C2318yes—
425#125×C67C2314yes—
426#125×C67C2314yes—
427#124×C67C2318yes—
428#124×C67C2314yes—
429#123×C67C2318yes—
430#123×C67C2314yes—
431C22⋊Q8×C67C2314yes—
432C22⋊Q8×C67C2314yes—
433C22⋊Q8×C67C2312yes—
434C22⋊Q8×C67C2312yes—
435#121×C67C2314yes—
436#121×C67C2312yes—
437#121×C67C2312yes—
438#121×C67C2318yes—
439#121×C67C2314yes—
440#120×C67C2314yes—
441C4×Q8×C67C2314yes—
442C4×Q8×C67C2314yes—
443C4×D4×C67C2314yes—
444C4×D4×C67C2314yes—
445C4×D4×C67C2314yes—
446C4×D4×C67C2318yes—
447C4×D4×C67C2314yes—
448#117×C67C2314yes—
449#117×C67C2314yes—
450#117×C67C2312yes—
451#117×C67C2314yes—
452#117×C67C2318yes—
453C2×C4⋊C4×C67C2311yescharacteristic
454C2×C4⋊C4×C67C2314yes—
455C2×C4⋊C4×C67C2311yescharacteristic
456C2×C22⋊C4×C67C2312yes—
457C2×C42×C67C2312yes—
458C23×D67C2412yes—
459#11761629—48no—
460#11761628—28no—
461#11761628—216no—
462#11761628—216no—
463#11761628—216no—
464#11761628—416no—
465#11761627—232no—
466#11761627—216no—
467#11761627—48no—
468#11761627—48no—
469#11761627—48no—
470C2×Dic134—216no—
471C2×Dic134#4118yescomplemented
472C2×Dic134C2412yes—
473C2×Dic134C2414yes—
474C2×Dic134C2418yes—
475C2×Dic134C2414yes—
476C2×Dic134C2414yes—
477C2×Dic134C2414yes—
478Q8×D67—216no—
479C2×D268—24no—
480C2×D268C2414yes—
481C2×D268C2412yes—
482C2×D268C2418yes—
483C2×D268C2418yes—
484C2×D268C2414yes—
485C2×C22⋊D67—28no—
486C2×C22⋊D67C2418yes—
487C2×C22⋊D67C2414yes—
488C2×C22⋊D67C2414yes—
489C2×C22⋊D67C2418yes—
490C2×C22⋊D67C2418yes—
491C2×C22⋊D67C2418yes—
492C2×C22⋊D67C2414yes—
493C2×C22⋊D67C2414yes—
494C2×C22⋊D67C2414yes—
495C22×Dic67—42no—
496C22×Dic67—42no—
497C22×Dic67C2411yescharacteristic
498C22×Dic67C2411yescharacteristic
499C22×Dic67C2414yes—
500C22×Dic67C2412yes—
501C22×Dic67C2412yes—
502C22×Dic67C2418yes—
503C22×Dic67C2411yescharacteristic
504C22×Dic67C2411yescharacteristic
505C22×Dic67C2412yes—
506C22×Dic67C2412yes—
507C22×Dic67C2414yes—
508C22×Dic67C2412yes—
509C2×C4×D67—28no—
510C2×C4×D67—44no—
511C2×C4×D67—44no—
512C2×C4×D67C2414yes—
513C2×C4×D67C2414yes—
514C2×C4×D67C2414yes—
515C2×C4×D67C2414yes—
516C2×C4×D67C2414yes—
517C2×C4×D67C2418yes—
518C2×C4×D67C2414yes—
519C2×C4×D67C2414yes—
520C2×C4×D67C2414yes—
521C2×C4×D67C2418yes—
522C2×C4×D67C2414yes—
523C4⋊Dic67C2412yes—
524C4⋊Dic67C2414yes—
525C4⋊Dic67C2412yes—
526C4⋊Dic67C2414yes—
527C4⋊Dic67C2414yes—
528C4⋊Dic67C2414yes—
529C4⋊Dic67C2414yes—
530C4⋊Dic67C2414yes—
531Dic67⋊C4C2418yes—
532Dic67⋊C4C2418yes—
533Dic67⋊C4C2418yes—
534Dic67⋊C4C2414yes—
535Dic67⋊C4C2418yes—
536Dic67⋊C4C2418yes—
537Dic67⋊C4C2414yes—
538Dic67⋊C4C2414yes—
539Dic67⋊C4C2414yes—
540Dic67⋊C4C2414yes—
541Dic67⋊C4C2414yes—
542Dic67⋊C4C2414yes—
543Dic67⋊C4C2414yes—
544Dic67⋊C4C2414yes—
545Dic67⋊C4C2414yes—
546Dic67⋊C4C2418yes—
547C22⋊Dic67C2414yes—
548C22⋊Dic67C2414yes—
549C22⋊Dic67C2414yes—
550C22⋊Dic67C2414yes—
551C22⋊Dic67C2414yes—
552C22⋊Dic67C2414yes—
553C22⋊Dic67C2414yes—
554(C2×D67)⋊C4C2418yes—
555(C2×D67)⋊C4C2418yes—
556(C2×D67)⋊C4C2414yes—
557(C2×D67)⋊C4C2414yes—
558(C2×D67)⋊C4C2414yes—
559(C2×D67)⋊C4C2418yes—
560(C2×D67)⋊C4C2418yes—
561(C2×D67)⋊C4C2418yes—
562(C2×D67)⋊C4C2418yes—
563(C2×D67)⋊C4C2414yes—
564(C2×D67)⋊C4C2414yes—
565(C2×D67)⋊C4C2418yes—
566(C2×D67)⋊C4C2414yes—
567(C2×D67)⋊C4C2418yes—
568C4×Dic67C2411yescharacteristic
569C4×Dic67C2414yes—
570C4×Dic67C2411yescharacteristic
571C4×Dic67C2411yescharacteristic
572C4×Dic67C2411yescharacteristic
573C4×Dic67C2412yes—
574C4×Dic67C2414yes—
575C4×Dic67C2414yes—
576C4×Dic67C2414yes—
577C4×Dic67C2414yes—
578C4×Dic67C2414yes—
579C4×Dic67C2414yes—
580C4×Dic67C2418yes—
581C4×Dic67C2412yes—
582C4×Dic67C2412yes—
583C4×Dic67C2412yes—
584C4×Dic67C2412yes—
585C4×Dic67C2412yes—
586C4×Dic67C2414yes—
587C4×Dic67C2418yes—
588C4×Dic67C2418yes—
589C4×Dic67C2414yes—
590C24×C67C2411yescharacteristic
591#41×C67—28no—
592C2×Q8×C67C2412yes—
593C2×Q8×C67C2414yes—
594C2×D4×C67C2414yes—
595C2×D4×C67C2412yes—
596C2×D4×C67C2414yes—
597C2×D4×C67C2414yes—
598C2×D4×C67C2414yes—
599C22×C4×C67—24no—
600C22×C4×C67C2411yescharacteristic
601C22×C4×C67C2414yes—
602C22×C4×C67C2412yes—
603C22×C4×C67C2412yes—
604C22×C4×C67C2412yes—
605C22×C4×C67C2412yes—
606C22×C4×C67C2418yes—
607C22×C4×C67C2411yescharacteristic
608C4⋊C4×C67C2414yes—
609C4⋊C4×C67C2412yes—
610C4⋊C4×C67C2414yes—
611C4⋊C4×C67C2418yes—
612C4⋊C4×C67C2412yes—
613C4⋊C4×C67C2414yes—
614C4⋊C4×C67C2418yes—
615C4⋊C4×C67C2414yes—
616C4⋊C4×C67C2414yes—
617C4⋊C4×C67C2414yes—
618C22⋊C4×C67C2418yes—
619C22⋊C4×C67C2414yes—
620C22⋊C4×C67C2414yes—
621C22⋊C4×C67C2418yes—
622C22⋊C4×C67C2418yes—
623C22⋊C4×C67C2414yes—
624C22⋊C4×C67C2414yes—
625C22⋊C4×C67C2414yes—
626C42×C67C2414yes—
627C42×C67C2414yes—
628C42×C67C2418yes—
629C42×C67C2414yes—
630C23×C67—22no—
631C23×C67—41no—
632C23×C67—41no—
633C23×C67C2512yes—
634C23×C67C2514yes—
635C23×C67C2511yescharacteristic
636C22×D67—24no—
637C22×D67—42no—
638C22×D67—42no—
639C22×D67C2514yes—
640C22×D67C2514yes—
641Q8×C67—24no—
642Q8×C67—44no—
643D4×C67—28no—
644D4×C67—24no—
645D4×C67—44no—
646D4×C67—44no—
647D4×C67—44no—
648C2×C4×C67—22no—
649C2×C4×C67—24no—
650C2×C4×C67—24no—
651C2×C4×C67—28no—
652C2×C4×C67—42no—
653C2×C4×C67—42no—
654C2×C4×C67—48no—
655C2×C4×C67C2×#4114yes—
656C2×C4×C67C2511yescharacteristic
657C2×C4×C67C2511yescharacteristic
658C2×C4×C67C2514yes—
659C2×C4×C67C2514yes—
660C2×C4×C67C2514yes—
661C2×C4×C67C2514yes—
662C2×C4×C67C2514yes—
663C2×C4×C67C2512yes—
664C22⋊D67—28no—
665C22⋊D67—216no—
666C22⋊D67—216no—
667C22⋊D67—28no—
668C22⋊D67—44no—
669C22⋊D67—48no—
670C22⋊D67—44no—
671C22⋊D67—44no—
672C22⋊D67—48no—
673C2×Dic67—216no—
674C2×Dic67—22no—
675C2×Dic67—22no—
676C2×Dic67—24no—
677C2×Dic67—24no—
678C2×Dic67—28no—
679C2×Dic67—41no—
680C2×Dic67—42no—
681C2×Dic67—42no—
682C2×Dic67—41no—
683C2×Dic67—44no—
684C2×Dic67C2×#4118yes—
685C2×Dic67C2512yes—
686C2×Dic67C2511yescharacteristic
687C2×Dic67C2511yescharacteristic
688C2×Dic67C2514yes—
689C2×Dic67C2514yes—
690C2×Dic67C2512yes—
691C2×Dic67C2514yes—
692C2×Dic67C2514yes—
693C2×Dic67C2511yescharacteristic
694C2×Dic67C2511yescharacteristic
695D268—28no—
696D268—24no—
697D268—48no—
698D268—44no—
699D268—48no—
700C4×D67—28no—
701C4×D67—28no—
702C4×D67—28no—
703C4×D67—216no—
704C4×D67—28no—
705C4×D67—28no—
706C4×D67—28no—
707C4×D67—44no—
708C4×D67—44no—
709C4×D67—44no—
710C4×D67—48no—
711Dic134—24no—
712Dic134—216no—
713Dic134—28no—
714Dic134—44no—
715Dic134—44no—
716Dic134C2×#41116yes—
717C22×C67—21no—
718C22×C67—21no—
719C22×C67—24no—
720C22×C67—22no—
721C22×C67—22no—
722C22×C67—22no—
723C22×C67—24no—
724C22×C67—24no—
725C22×C67—44no—
726C22×C67C22×#4112yes—
727C22×C67C2611yescharacteristic
728C2×D67—24no—
729C2×D67—24no—
730C2×D67—24no—
731C2×D67—24no—
732C2×D67—24no—
733C2×D67—24no—
734C2×D67—48no—
735C4×C67—24no—
736C4×C67—21no—
737C4×C67—21no—
738C4×C67—24no—
739C4×C67—24no—
740C4×C67—24no—
741C4×C67—24no—
742C4×C67C22×#4114yes—
743Dic67—24no—
744Dic67—24no—
745Dic67—24no—
746Dic67—22no—
747Dic67—21no—
748Dic67—21no—
749Dic67—22no—
750Dic67C22×#4118yes—
751Dic67#58512yes—
752Dic67#58512yes—
753#62793—671nomaximal, Sylow
754C2×C67—22no—
755C2×C67—44no—
756C2×C67—42no—
757C2×C67C23×#4111yescharacteristic
758C2×C67C2×#58511yescharacteristic
759C2×C67C2×#58511yescharacteristic
760D67—44no—
761D67—44no—
762#3524—674no—
763#3524—674no—
764#3518—674no—
765#3517—674no—
766#3506—674no—
767#3506—672no—
768#3502—671no—
769#3497—671no—
770#3493—674no—
771#3493—671no—
772#3493D6711yescharacteristic, complemented
773#3487—672no—
774#3483—674no—
775#3482—674no—
776#3480—674no—
777#3480—674no—
778#3460—671no—
779#3460—674no—
780#3460—671no—
781#3444—674no—
782#3444—672no—
783C4×2−1+4—672no—
784C2×C4×#41—671no—
785C67#6279311yescharacteristic, complemented, Sylow
786C2×2−1+4—672no—
787C22×#41—671no—
788#559—678no—
789#559—678no—
790#559—674no—
791#559—674no—
792Q82—674no—
793#557—674no—
794#557—674no—
795#557—674no—
796#556—678no—
797#556—678no—
798#556—678no—
799#556—674no—
800#556—674no—
801#556C2×D6714yescomplemented
802#555—678no—
803#555—678no—
804#555—674no—
805#555—678no—
806#555—674no—
807#555C2×D6714yescomplemented
808#553—678no—
809#553—678no—
810#553—678no—
811#553—678no—
812#553—674no—
813#553—674no—
814#553—674no—
815#553C2×D6714yescomplemented
816#552—678no—
817#552—678no—
818#552—674no—
819#552C2×D6714yescomplemented
820#550—674no—
821#550—674no—
822#550—674no—
823#550—678no—
824#550—674no—
825#550—674no—
826#550—674no—
827D4×Q8—674no—
828#548—674no—
829#548—674no—
830#548—674no—
831#548—674no—
832#548—674no—
833#548—674no—
834#547—678no—
835#547—674no—
836#544—674no—
837#544—671no—
838#544C2×D6711yescharacteristic
839#542—674no—
840#542—678no—
841#542—678no—
842#542—674no—
843#540—674no—
844#540—678no—
845#540—678no—
846#540—674no—
847#538—674no—
848#538—674no—
849#538—678no—
850#538—674no—
851#538C2×D6714yes—
852#537—674no—
853#537—671no—
854#537C2×D6711yescharacteristic
855#535—672no—
856#535—678no—
857#535—672no—
858#533—674no—
859#533—672no—
860#533—674no—
861#533—672no—
862#533—674no—
863#533—672no—
864#532—672no—
865#532—674no—
866#532—674no—
867#532—678no—
868#532—672no—
869#532—674no—
870#532—672no—
871#532—674no—
872#532—678no—
873#532—674no—
874#529—678no—
875#529—678no—
876#529—678no—
877#529—674no—
878#529—674no—
879#529—674no—
880#529—674no—
881#529—674no—
882#529—678no—
883#529—672no—
884#529—672no—
885#529—674no—
886#529—672no—
887#529—672no—
888#529—674no—
889#529—674no—
890#529—678no—
891#529—674no—
892#529C2×D6714yes—
893#525—672no—
894#525—678no—
895#525—674no—
896#525—674no—
897#525—674no—
898#525—674no—
899#525—678no—
900#525C2×D6712yes—
901#520—678no—
902#520—674no—
903#520—672no—
904#520—674no—
905#520C2×D6712yes—
906#519—674no—
907#519—672no—
908#519—674no—
909C4×#41—672no—
910C4×#41—674no—
911C4×#41—678no—
912C4×#41—674no—
913C4×#41—674no—
914C4×#41—674no—
915C4×#41—674no—
916C4×#41—674no—
917C4×#41—674no—
918C4×#41—674no—
919C4×#41—674no—
920C4×#41—672no—
921C4×#41—674no—
922C4×#41—678no—
923C2×C4×Q8—674no—
924C2×C4×Q8—671no—
925C2×C4×Q8—671no—
926C2×C4×Q8—674no—
927C2×C4×D4—671no—
928C2×C4×D4—671no—
929C2×C4×D4—672no—
930C2×C4×D4—672no—
931C2×#117—672no—
932C2×#117C2×D6711yescharacteristic
933C22×C42—671no—
934C22×C42—672no—
9352−1+4—13416no—
936C2×#41—674no—
937C2×#41—674no—
938C2×#41—674no—
939C2×#41—674no—
940C2×#41—678no—
941C2×#41—674no—
942C2×#41—678no—
943C2×#41—674no—
944C2×#41—674no—
945C2×#41—672no—
946C2×#41—674no—
947C2×#41—1348no—
948C2×#41C22×D6712yes—
949C22×Q8—674no—
950C22×Q8—671no—
951C22×Q8—674no—
952C22×D4—672no—
953C22×D4—671no—
954C23×C4—671no—
955C23×C4—671no—
956C23×C4—672no—
957C23×C4—672no—
958C23×C4—672no—
959C23×C4C22×D6711yescharacteristic
960C4⋊Q8—672no—
961C4⋊Q8—674no—
962C4⋊Q8—678no—
963C4⋊Q8—674no—
964C4⋊Q8—672no—
965C4⋊Q8—674no—
966C4⋊Q8—672no—
967C4⋊Q8—678no—
968C4⋊Q8—674no—
969C4⋊Q8C22×D6714yes—
970#127—672no—
971#127—674no—
972#127—674no—
973#127—678no—
974#127—678no—
975#127—674no—
976#126—674no—
977#126—674no—
978#126—678no—
979#126—678no—
980#126—678no—
981#126—674no—
982#126—674no—
983#126—678no—
984#126—678no—
985#126—678no—
986#126C22×D6718yes—
987#126C22×D6718yes—
988#125—674no—
989#125—674no—
990#125—678no—
991#125—672no—
992#125—672no—
993#125—678no—
994#125—678no—
995#125—674no—
996#125—674no—
997#125C22×D6714yes—
998#125C22×D6714yes—
999#124—672no—
1000#124—674no—
1001#124—678no—
1002#124—672no—
1003#124—674no—
1004#124—678no—
1005#124—674no—
1006#124—678no—
1007#124—678no—
1008#124—678no—
1009#124—678no—
1010#124—678no—
1011#124—674no—
1012#124—674no—
1013#124—678no—
1014#124C22×D6714yes—
1015#124C22×D6718yes—
1016#123—674no—
1017#123—674no—
1018#123—674no—
1019#123—678no—
1020#123—678no—
1021#123—678no—
1022#123—678no—
1023#123—678no—
1024#123—678no—
1025#123—674no—
1026#123—678no—
1027#123—674no—
1028#123—678no—
1029#123—678no—
1030#123C22×D6714yes—
1031#123C22×D6718yes—
1032C22⋊Q8—674no—
1033C22⋊Q8—674no—
1034C22⋊Q8—672no—
1035C22⋊Q8—672no—
1036C22⋊Q8—674no—
1037C22⋊Q8—678no—
1038C22⋊Q8—678no—
1039C22⋊Q8—678no—
1040C22⋊Q8—678no—
1041C22⋊Q8—674no—
1042C22⋊Q8—674no—
1043C22⋊Q8—674no—
1044C22⋊Q8—674no—
1045C22⋊Q8—674no—
1046C22⋊Q8—678no—
1047C22⋊Q8C22×D6714yes—
1048C22⋊Q8C22×D6712yes—
1049C22⋊Q8C22×D6712yes—
1050C22⋊Q8C22×D6714yes—
1051#121—674no—
1052#121—674no—
1053#121—674no—
1054#121—674no—
1055#121—674no—
1056#121—678no—
1057#121—678no—
1058#121—678no—
1059#121—678no—
1060#121—674no—
1061#121—672no—
1062#121—672no—
1063#121—674no—
1064#121—674no—
1065#121—678no—
1066#121—674no—
1067#121—674no—
1068#121—674no—
1069#121—674no—
1070#121—678no—
1071#121—678no—
1072#121—678no—
1073#121—678no—
1074#121—678no—
1075#121—678no—
1076#121—678no—
1077#121—678no—
1078#121—678no—
1079#121C22×D6714yes—
1080#121C22×D6712yes—
1081#121C22×D6712yes—
1082#121C22×D6714yes—
1083#121C22×D6718yes—
1084#120—674no—
1085#120—678no—
1086#120—678no—
1087#120C22×D6714yes—
1088C4×Q8—672no—
1089C4×Q8—672no—
1090C4×Q8—674no—
1091C4×Q8—674no—
1092C4×Q8—678no—
1093C4×Q8—672no—
1094C4×Q8—674no—
1095C4×Q8—674no—
1096C4×Q8—674no—
1097C4×Q8—674no—
1098C4×Q8—678no—
1099C4×Q8—674no—
1100C4×Q8—674no—
1101C4×Q8—672no—
1102C4×Q8—674no—
1103C4×Q8—678no—
1104C4×Q8—674no—
1105C4×Q8—674no—
1106C4×Q8—674no—
1107C4×Q8—678no—
1108C4×Q8—678no—
1109C4×Q8—674no—
1110C4×Q8—674no—
1111C4×Q8—674no—
1112C4×Q8—674no—
1113C4×Q8C22×D6714yes—
1114C4×Q8C22×D6714yes—
1115C4×D4—674no—
1116C4×D4—672no—
1117C4×D4—674no—
1118C4×D4—672no—
1119C4×D4—674no—
1120C4×D4—674no—
1121C4×D4—674no—
1122C4×D4—678no—
1123C4×D4—678no—
1124C4×D4—678no—
1125C4×D4—674no—
1126C4×D4—674no—
1127C4×D4—678no—
1128C4×D4—674no—
1129C4×D4—674no—
1130C4×D4—674no—
1131C4×D4—674no—
1132C4×D4—674no—
1133C4×D4—674no—
1134C4×D4—672no—
1135C4×D4—672no—
1136C4×D4—674no—
1137C4×D4—678no—
1138C4×D4—678no—
1139C4×D4—678no—
1140C4×D4—674no—
1141C4×D4—678no—
1142C4×D4—678no—
1143C4×D4—678no—
1144C4×D4—678no—
1145C4×D4—674no—
1146C4×D4—678no—
1147C4×D4—674no—
1148C4×D4—674no—
1149C4×D4—678no—
1150C4×D4—678no—
1151C4×D4—674no—
1152C4×D4—678no—
1153C4×D4—678no—
1154C4×D4—674no—
1155C4×D4—678no—
1156C4×D4—674no—
1157C4×D4—678no—
1158C4×D4—674no—
1159C4×D4C22×D6718yes—
1160C4×D4C22×D6714yes—
1161C4×D4C22×D6714yes—
1162C4×D4C22×D6714yes—
1163C4×D4C22×D6714yes—
1164#117—672no—
1165#117—674no—
1166#117—674no—
1167#117—678no—
1168#117—674no—
1169#117—674no—
1170#117—674no—
1171#117—674no—
1172#117—674no—
1173#117—678no—
1174#117—678no—
1175#117—678no—
1176#117—674no—
1177#117—674no—
1178#117—674no—
1179#117—678no—
1180#117—678no—
1181#117—674no—
1182#117—678no—
1183#117—678no—
1184#117—678no—
1185#117C22×D6714yes—
1186#117C22×D6714yes—
1187#117C22×D6712yes—
1188#117C22×D6714yes—
1189#117C22×D6718yes—
1190C2×C4⋊C4—672no—
1191C2×C4⋊C4—672no—
1192C2×C4⋊C4—678no—
1193C2×C4⋊C4—678no—
1194C2×C4⋊C4—674no—
1195C2×C4⋊C4C22×D6711yescharacteristic
1196C2×C4⋊C4C22×D6711yescharacteristic
1197C2×C4⋊C4C22×D6714yes—
1198C2×C22⋊C4—672no—
1199C2×C22⋊C4—672no—
1200C2×C22⋊C4C22×D6712yes—
1201C2×C42—671no—
1202C2×C42—671no—
1203C2×C42—672no—
1204C2×C42—671no—
1205C2×C42—672no—
1206C2×C42—674no—
1207C2×C42—678no—
1208C2×C42—672no—
1209C2×C42—672no—
1210C2×C42—672no—
1211C2×C42—672no—
1212C2×C42—671no—
1213C2×C42—674no—
1214C2×C42—678no—
1215C2×C42—674no—
1216C2×C42—674no—
1217C2×C42—674no—
1218C2×C42—674no—
1219C2×C42C22×D6712yes—
1220C24—672no—
1221C24C23×D6711yescharacteristic
1222#41—28no—
1223#41—26816no—
1224#41—2688no—
1225#41—2688no—
1226#41—2688no—
1227#41—2688no—
1228#41—13416no—
1229#41—13416no—
1230#41—13416no—
1231#41—13432no—
1232#41—13416no—
1233#41—1348no—
1234C2×Q8—678no—
1235C2×Q8—674no—
1236C2×Q8—674no—
1237C2×Q8—674no—
1238C2×Q8—678no—
1239C2×Q8—672no—
1240C2×Q8—674no—
1241C2×Q8—13416no—
1242C2×Q8—13416no—
1243C2×Q8C23×D6712yes—
1244C2×Q8C23×D6714yes—
1245C2×D4—678no—
1246C2×D4—674no—
1247C2×D4—678no—
1248C2×D4—674no—
1249C2×D4—674no—
1250C2×D4—674no—
1251C2×D4—678no—
1252C2×D4—674no—
1253C2×D4—678no—
1254C2×D4—678no—
1255C2×D4—678no—
1256C2×D4—674no—
1257C2×D4—674no—
1258C2×D4—672no—
1259C2×D4—1348no—
1260C2×D4—1344no—
1261C2×D4C23×D6714yes—
1262C2×D4C23×D6712yes—
1263C2×D4C23×D6714yes—
1264C2×D4C23×D6714yes—
1265C2×D4C23×D6714yes—
1266C22×C4—24no—
1267C22×C4—2684no—
1268C22×C4—2684no—
1269C22×C4—2682no—
1270C22×C4—2682no—
1271C22×C4—671no—
1272C22×C4—671no—
1273C22×C4—672no—
1274C22×C4—672no—
1275C22×C4—674no—
1276C22×C4—674no—
1277C22×C4—674no—
1278C22×C4—674no—
1279C22×C4—678no—
1280C22×C4—672no—
1281C22×C4—671no—
1282C22×C4—671no—
1283C22×C4—674no—
1284C22×C4—672no—
1285C22×C4—672no—
1286C22×C4—678no—
1287C22×C4—674no—
1288C22×C4—674no—
1289C22×C4—674no—
1290C22×C4—674no—
1291C22×C4—674no—
1292C22×C4—678no—
1293C22×C4—674no—
1294C22×C4—1348no—
1295C22×C4C23×D6711yescharacteristic
1296C22×C4C23×D6712yes—
1297C22×C4C23×D6712yes—
1298C22×C4C23×D6714yes—
1299C22×C4C23×D6712yes—
1300C22×C4C23×D6712yes—
1301C22×C4C23×D6718yes—
1302C22×C4C23×D6711yescharacteristic
1303C4⋊C4—678no—
1304C4⋊C4—678no—
1305C4⋊C4—672no—
1306C4⋊C4—674no—
1307C4⋊C4—678no—
1308C4⋊C4—674no—
1309C4⋊C4—678no—
1310C4⋊C4—674no—
1311C4⋊C4—674no—
1312C4⋊C4—678no—
1313C4⋊C4—674no—
1314C4⋊C4—672no—
1315C4⋊C4—674no—
1316C4⋊C4—674no—
1317C4⋊C4—674no—
1318C4⋊C4—674no—
1319C4⋊C4—674no—
1320C4⋊C4—678no—
1321C4⋊C4—674no—
1322C4⋊C4—674no—
1323C4⋊C4—674no—
1324C4⋊C4—674no—
1325C4⋊C4—674no—
1326C4⋊C4—674no—
1327C4⋊C4C23×D6714yes—
1328C4⋊C4C23×D6718yes—
1329C4⋊C4C23×D6712yes—
1330C4⋊C4C23×D6714yes—
1331C4⋊C4C23×D6714yes—
1332C4⋊C4C23×D6714yes—
1333C4⋊C4C23×D6714yes—
1334C4⋊C4C23×D6714yes—
1335C4⋊C4C23×D6712yes—
1336C4⋊C4C23×D6718yes—
1337C22⋊C4—674no—
1338C22⋊C4—674no—
1339C22⋊C4—674no—
1340C22⋊C4—674no—
1341C22⋊C4—674no—
1342C22⋊C4—674no—
1343C22⋊C4—674no—
1344C22⋊C4—678no—
1345C22⋊C4—678no—
1346C22⋊C4—674no—
1347C22⋊C4—674no—
1348C22⋊C4—678no—
1349C22⋊C4—674no—
1350C22⋊C4—674no—
1351C22⋊C4—674no—
1352C22⋊C4—678no—
1353C22⋊C4—678no—
1354C22⋊C4—678no—
1355C22⋊C4—678no—
1356C22⋊C4—678no—
1357C22⋊C4—674no—
1358C22⋊C4C23×D6718yes—
1359C22⋊C4C23×D6714yes—
1360C22⋊C4C23×D6718yes—
1361C22⋊C4C23×D6714yes—
1362C22⋊C4C23×D6714yes—
1363C22⋊C4C23×D6714yes—
1364C22⋊C4C23×D6714yes—
1365C22⋊C4C23×D6718yes—
1366C42—671no—
1367C42—674no—
1368C42—671no—
1369C42—672no—
1370C42—671no—
1371C42—671no—
1372C42—672no—
1373C42—674no—
1374C42—674no—
1375C42—674no—
1376C42—672no—
1377C42—672no—
1378C42—674no—
1379C42—672no—
1380C42—674no—
1381C42—672no—
1382C42—674no—
1383C42—674no—
1384C42—678no—
1385C42—678no—
1386C42—678no—
1387C42—674no—
1388C42C23×D6714yes—
1389C42C23×D6714yes—
1390C42C23×D6718yes—
1391C42C23×D6714yes—
1392C23—22no—
1393C23—41no—
1394C23—41no—
1395C23—2682no—
1396C23—2682no—
1397C23—674no—
1398C23—674no—
1399C23—1344no—
1400C23C24×D6712yes—
1401C23C24×D6714yes—
1402C23C24×D6711yescharacteristic
1403Q8—24no—
1404Q8—44no—
1405Q8—2684no—
1406Q8—2684no—
1407Q8—6716no—
1408Q8—13416no—
1409Q8—1348no—
1410Q8—1344no—
1411D4—28no—
1412D4—24no—
1413D4—44no—
1414D4—44no—
1415D4—44no—
1416D4—2688no—
1417D4—2684no—
1418D4—2688no—
1419D4—2688no—
1420D4—2684no—
1421D4—2684no—
1422D4—2684no—
1423D4—2688no—
1424D4—13416no—
1425D4—1348no—
1426D4—13416no—
1427D4—1348no—
1428D4—1348no—
1429D4—1344no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—28no—
1434C2×C4—42no—
1435C2×C4—42no—
1436C2×C4—48no—
1437C2×C4—2684no—
1438C2×C4—2684no—
1439C2×C4—2688no—
1440C2×C4—2684no—
1441C2×C4—2681no—
1442C2×C4—2682no—
1443C2×C4—2682no—
1444C2×C4—2681no—
1445C2×C4—2684no—
1446C2×C4—678no—
1447C2×C4—671no—
1448C2×C4—674no—
1449C2×C4—671no—
1450C2×C4—671no—
1451C2×C4—672no—
1452C2×C4—671no—
1453C2×C4—674no—
1454C2×C4—674no—
1455C2×C4—672no—
1456C2×C4—674no—
1457C2×C4—1348no—
1458C2×C4—1348no—
1459C2×C4—1348no—
1460C2×C4—1348no—
1461C2×C4—13416no—
1462C2×C4—1348no—
1463C2×C4—1342no—
1464C2×C4—1342no—
1465C2×C4—1344no—
1466C2×C4—1344no—
1467C2×C4—13416no—
1468C2×C4—1348no—
1469C2×C4—1348no—
1470C2×C4#41×D6714yes—
1471C2×C4C24×D6711yescharacteristic
1472C2×C4C24×D6711yescharacteristic
1473C2×C4C24×D6714yes—
1474C2×C4C24×D6714yes—
1475C2×C4C24×D6714yes—
1476C2×C4C24×D6714yes—
1477C2×C4C24×D6714yes—
1478C2×C4C24×D6712yes—
1479C22—21no—
1480C22—21no—
1481C22—22no—
1482C22—24no—
1483C22—24no—
1484C22—22no—
1485C22—22no—
1486C22—24no—
1487C22—44no—
1488C22—2688no—
1489C22—1344no—
1490C22—1344no—
1491C22—1344no—
1492C22—1344no—
1493C22—1344no—
1494C22—1344no—
1495C22C2×#41×D6712yes—
1496C22C25×D6711yescharacteristic
1497C4—21no—
1498C4—21no—
1499C4—24no—
1500C4—24no—
1501C4—24no—
1502C4—24no—
1503C4—24no—
1504C4—678no—
1505C4—672no—
1506C4—672no—
1507C4—1344no—
1508C4—1341no—
1509C4—1341no—
1510C4—1342no—
1511C4—1344no—
1512C4—1342no—
1513C4—1344no—
1514C4C2×#41×D6714yes—
1515C2—22no—
1516C2—42no—
1517C2—44no—
1518C2—2684no—
1519C2—2684no—
1520C2C22×#41×D6711yescharacteristic
1521C2#585×D6711yescharacteristic
1522C2#585×D6711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3493C2
hypercenter#3493D67
hypocenterC67#62793
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3493

Complements

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

NH ≅ G/Ntype
1. #22574315C2semidirect
2. #22574309C2semidirect
3. #22574219C2semidirect
4. #22574208C2semidirect
5. #22574056C2semidirect
6. #22574054C2semidirect
7. #22574017C2semidirect
8. #22573978C2semidirect
9. #22573929C2semidirect
10. #22573921C2semidirect
11. #22573863C2semidirect
12. #22573834C2semidirect
13. #22573823C2semidirect
14. #22573803C2semidirect
15. #22573801C2semidirect
16. #22573632C2semidirect
17. #22573628C2semidirect
18. #22573626C2semidirect
19. #22573503C2semidirect
20. #22573501C2semidirect
21. #22573420C2semidirect
22. C2×#16863864C2semidirect
23. C67×#3493C2semidirect
26. #16864131C22semidirect
27. #16864130C22semidirect
28. #16864129C22semidirect
29. #16864128C22semidirect
30. #16864126C22semidirect
31. #16864123C22semidirect
32. #16864123C22semidirect
33. #16864121C22semidirect
34. #16864118C22semidirect
35. #16864118C22semidirect
36. #16864114C22semidirect
37. #16864113C22semidirect
38. #16864113C22semidirect
39. #16864109C22semidirect
40. #16864109C22semidirect
41. #16864109C22semidirect
42. #16864108C22semidirect
43. #16864108C22semidirect
44. #16864097C22semidirect
45. #16864097C22semidirect
46. #16864095C22semidirect
47. #16864094C22semidirect
48. #16864090C22semidirect
49. #16864090C22semidirect
50. #16864089C22semidirect
51. #16864085C22semidirect
52. #16864079C22semidirect
53. #16864078C22semidirect
56. #16864067C22semidirect
59. #16864064C22semidirect
60. #16864064C22semidirect
61. #16864059C22semidirect
64. #16864056C22semidirect
67. #16864052C22semidirect
68. #16864047C22semidirect
69. #16864044C22semidirect
72. #16864020C22semidirect
73. #16864019C22semidirect
74. #16864012C22semidirect
75. #16864010C22semidirect
76. #16864002C22semidirect
77. #16863999C22semidirect
78. #16863998C22semidirect
79. #16863996C22semidirect
89. #16863952C22semidirect
90. #16863950C22semidirect
93. #16863948C22semidirect
94. #16863948C22semidirect
95. #16863947C22semidirect
96. #16863945C22semidirect
97. #16863945C22semidirect
98. #16863943C22semidirect
101. #16863941C22semidirect
102. #16863941C22semidirect
103. #16863941C22semidirect
104. #16863941C22semidirect
105. #16863932C22semidirect
106. #16863932C22semidirect
107. #16863932C22semidirect
108. #16863931C22semidirect
109. #16863931C22semidirect
111. #16863929C22semidirect
112. #16863929C22semidirect
113. #16863929C22semidirect
114. #16863927C22semidirect
115. #16863927C22semidirect
116. #16863926C22semidirect
117. #16863926C22semidirect
118. #16863925C22semidirect
119. #16863924C22semidirect
122. #16863923C22semidirect
131. #16863877C22semidirect
133. #16863875C22semidirect
135. #16863873C22semidirect
136. #16863872C22semidirect
138. C4×#11761629C22semidirect
144. #16863864C22semidirect
145. #16863864C22semidirect
147. C4×#11761627C22semidirect
148. C4×#11761627C22semidirect
149. C4×#11761627C22semidirect
150. C4×#11761627C22semidirect
153. C2×#14524008C22semidirect
154. C4×Q8×D67C22semidirect
162. #556×C67C22semidirect
163. #555×C67C22semidirect
164. #553×C67C22semidirect
165. #552×C67C22semidirect
471. C2×Dic134#41semidirect
772. #3493D67semidirect
785. C67#62793semidirect
801. #556C2×D67semidirect
807. #555C2×D67semidirect
815. #553C2×D67semidirect
819. #552C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225743152
#225743092
#225742192
#225742082
#225740562
#225740542
#225740172
#225739782
#225739292
#225739212
#225738632
#225738342
#225738232
#225738032
#225738012
#225736322
#225736282
#225736262
#225735032
#225735012
#225734202
C2×#168638642
C67×#34932
#6279367