Finite Group Databasebeta

← #33994587

Subgroups — #33994587

Order 18688.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624033C212yesmaximal, complemented
2#22624022C211yesmaximal, characteristic, complemented
3#22624011C211yesmaximal, characteristic, complemented
4#22623988C216yesmaximal, complemented
5#22623971C213yesmaximal, complemented
6#22623954C213yesmaximal, complemented
7#22623943C211yesmaximal, characteristic, complemented
8#22623932C211yesmaximal, characteristic, complemented
9#22623917C212yesmaximal, complemented
10#22623900C213yesmaximal, complemented
11#22623883C213yesmaximal, complemented
12#22623860C216yesmaximal, complemented
13#22623528C213yesmaximal, complemented
14#41×Dic146C211yesmaximal, characteristic, complemented
15#22623491C216yesmaximal, complemented
16#22623489C213yesmaximal, complemented
17#41×C22⋊D73C212yesmaximal, complemented
18#22623319C216yesmaximal, complemented
19#22623226C213yesmaximal, complemented
20C2×#17989119C213yesmaximal, complemented
21#22623134C212yesmaximal, complemented
22C4×#41×D73C211yesmaximal, characteristic, complemented
23D4×#41×C73C211yesmaximal, characteristic, complemented
24C2×#41×D73C2211yescharacteristic
25#17989323C2213yescomplemented
26#17989319C2216yescomplemented
27Q8×Dic146C2211yescharacteristic, complemented
28#17989316C2211yescharacteristic, complemented
29#17989313C2212yescomplemented
30#17989312C2213yescomplemented
31#17989311C2213yescomplemented
32#17989308C2216yescomplemented
33#17989307C2213yescomplemented
34#17989306C2216yescomplemented
35#17989302C2213yescomplemented
36#17989301C2216yescomplemented
37#17989296C2216yescomplemented
38#17989295C2216yescomplemented
39#17989294C2213yescomplemented
40#17989294C2213yescomplemented
41#17989289C2216yescomplemented
42#17989289C2216yescomplemented
43#17989284C2216yescomplemented
44#17989283C2216yescomplemented
45#17989280C22112yescomplemented
46#17989279C2216yescomplemented
47#17989277C2216yescomplemented
48#17989274C22112yescomplemented
49#17989272C2216yescomplemented
50#17989271C2216yescomplemented
51#17989268C22112yescomplemented
52#17989263C22112yescomplemented
53#17989260C22112yescomplemented
54#17989257C2213yescomplemented
55#17989256C2212yescomplemented
56D4×Dic146C2213yescomplemented
57Q8×C22⋊D73C2212yescomplemented
58#17989248C2212yescomplemented
59#17989244C2212yescomplemented
60#17989243C2216yescomplemented
61#17989241C2213yescomplemented
62#17989237C2216yescomplemented
63#17989236C2216yescomplemented
64#17989231C2216yescomplemented
65#17989231C2216yescomplemented
66#17989225C2216yescomplemented
67#17989224C22112yescomplemented
68D4×C22⋊D73C2216yescomplemented
69#17989210C2216yescomplemented
70#17989210C2216yescomplemented
71#17989204C2216yescomplemented
72#17989204C2216yescomplemented
73#17989197C2216yescomplemented
74#17989197C2216yescomplemented
75#17989190C2216yescomplemented
76#17989190C2216yescomplemented
77#17989181C22112yescomplemented
78#17989181C22112yescomplemented
79#17989172C22112yescomplemented
80#17989172C22112yescomplemented
81#17989144C2213yescomplemented
82#17989142C2213yescomplemented
83#17989142C2213yescomplemented
84#17989140C2216yescomplemented
85#17989135C2213yescomplemented
86#17989135C2213yescomplemented
87#17989133C2216yescomplemented
88#17989119C2213yes—
89#17989119C2211yescharacteristic
90#17989119C2213yescomplemented
91#17989119C2216yescomplemented
92#17989119C2213yescomplemented
93#17989119C2216yescomplemented
94#17989119C2213yescomplemented
95#17989119C2216yescomplemented
96#17989119C2216yescomplemented
97#17989119C2216yescomplemented
98#17989119C2213yescomplemented
99#17989119C2213yescomplemented
100#17989119C2213yescomplemented
101#17989118C2216yescomplemented
102#17989118C2216yescomplemented
103#17989117C22112yescomplemented
104#17989117C22112yescomplemented
105#17989116C2216yescomplemented
106#17989116C2216yescomplemented
107C2×#14556584C2216yescomplemented
108C2×#14556582C2213yescomplemented
109C2×#14556578C2213yescomplemented
110#17989098C2216yescomplemented
111#17989097C2216yescomplemented
112#17989097C2216yescomplemented
113#17989094C2216yescomplemented
114C2×#14556573C2216yescomplemented
115C2×#14556571C2213yescomplemented
116C2×#14556562C2213yes—
117#17989070C2212yescomplemented
118#17989070C2216yescomplemented
119#17989070C2212yescomplemented
120#17989070C2216yescomplemented
121#17989065C2212yescomplemented
122#17989065C2212yescomplemented
123#17989062C2216yescomplemented
124#17989062C2216yescomplemented
125#41×Dic73C2212yes—
126#41×Dic73C2211yescharacteristic
127#41×Dic73C2216yescomplemented
128#41×Dic73C2216yescomplemented
129C4×#11924029C2211yescharacteristic, complemented
130C4×#11924029C2211yescharacteristic, complemented
131C4×#11924028C2213yescomplemented
132#17989055C2213yescomplemented
133C4×#11924027C2216yescomplemented
134C4×#11924027C2216yescomplemented
135C4×#11924027C2213yescomplemented
136C4×#11924027C2213yescomplemented
137C2×C4×Dic146C2213yescomplemented
138C4×Q8×D73C2211yescharacteristic, complemented
139C4×Q8×D73C2211yescharacteristic, complemented
140C2×C4×C22⋊D73C2216yescomplemented
141C4×D4×D73C2213yescomplemented
142C4×D4×D73C2213yescomplemented
143C2×#14556550C2216yescomplemented
144C2×#14556550C2216yescomplemented
145#117×D73C2213yescomplemented
146C2×C42×D73C2213yescomplemented
147C22×#41×C73C2212yes—
148#550×C73C2211yescharacteristic, complemented
149D4×Q8×C73C2211yescharacteristic, complemented
150#548×C73C2212yescomplemented
151#547×C73C2213yescomplemented
152#546×C73C2216yescomplemented
153D42×C73C2213yescomplemented
154#532×C73C2213yescomplemented
155#525×C73C2216yescomplemented
156C4×#41×C73C2211yescharacteristic
157C2×C4×D4×C73C2213yescomplemented
158C2×#11924029C2311yescharacteristic
159C2×#11924028C2313yes—
160C2×#11924027C2313yes—
161C2×#11924027C2316yes—
162C2×#11924027C2316yes—
163#41×D73—28no—
164C22×Dic146C2313yes—
165C2×Q8×D73C2311yescharacteristic
166C22×C22⋊D73C2316yes—
167C2×D4×D73C2313yes—
168C22×C4×D73C2313yes—
169C22×C4×D73C2313yes—
170C22×C4×D73C2313yes—
171#14556591C2313yes—
172#14556591C2313yes—
173#14556590C2316yes—
174#14556590C2316yes—
175#14556589C2316yes—
176#14556587C2316yes—
177#14556586C23112yes—
178#14556586C23112yes—
179#14556584C2316yes—
180#14556584C23112yes—
181#14556584C23112yes—
182#14556584C23112yes—
183#14556584C2316yes—
184#14556584C2316yes—
185#14556584C2316yes—
186#14556584C2316yes—
187#14556584C2316yes—
188#14556584C2312yes—
189#14556584C2316yes—
190#14556583C2316yes—
191#14556582C2316yes—
192#14556582C2316yes—
193#14556582C2313yes—
194#14556582C2316yes—
195#14556582C2316yes—
196#14556582C2313yes—
197#14556582C2316yes—
198#14556582C2313yes—
199#14556582C2311yescharacteristic
200#14556581C23112yes—
201#14556581C23112yes—
202#14556580C2316yes—
203#14556578C2316yes—
204#14556578C2313yes—
205#14556578C2316yes—
206#14556578C2316yes—
207#14556578C2313yes—
208#14556578C2313yes—
209#14556578C2316yes—
210#14556578C2311yescharacteristic
211#14556577C23112yes—
212#14556577C23112yes—
213#14556575C23112yes—
214#14556575C23112yes—
215#14556574C23112yes—
216#14556573C2316yes—
217#14556573C23112yes—
218#14556573C2316yes—
219#14556573C2316yes—
220#14556573C2316yes—
221#14556573C2316yes—
222#14556573C2316yes—
223#14556573C2312yes—
224#14556573C2316yes—
225#14556572C23112yes—
226#14556572C23112yes—
227#14556572C23112yes—
228#14556571C2313yes—
229#14556571C2316yes—
230#14556571C2316yes—
231#14556571C2313yes—
232#14556571C2313yes—
233#14556571C2316yes—
234#14556571C2311yescharacteristic
235#14556570C2316yes—
236#14556570C2316yes—
237#14556570C2316yes—
238#14556570C2316yes—
239#14556568C23112yes—
240#14556568C23112yes—
241#14556568C23112yes—
242#14556568C23112yes—
243#14556567C2316yes—
244#14556567C2316yes—
245#14556565C2316yes—
246#14556565C2316yes—
247#14556563C23112yes—
248#14556563C23112yes—
249#14556563C23112yes—
250#14556563C23112yes—
251#14556562C2313yes—
252#14556562C2316yes—
253#14556562C2316yes—
254#14556562C2316yes—
255#14556562C2316yes—
256#14556562C2316yes—
257#14556562C2313yes—
258#14556562C2313yes—
259#14556562C2311yescharacteristic
260#14556560C23112yes—
261#14556559C23112yes—
262Q8×Dic73C2316yes—
263Q8×Dic73C2316yes—
264Q8×Dic73C2312yes—
265Q8×Dic73C2312yes—
266Q8×Dic73C2316yes—
267Q8×Dic73C2316yes—
268Q8×Dic73C2311yescharacteristic
269Q8×Dic73C2311yescharacteristic
270C4×Dic146C2316yes—
271C4×Dic146C2316yes—
272C4×Dic146C2313yes—
273C4×Dic146C2313yes—
274C4×Dic146C2313yes—
275C4×Dic146C2313yes—
276C4×Dic146C2313yes—
277C4×Dic146C2316yes—
278C4×Dic146C2311yescharacteristic
279#14556556C2316yes—
280#14556556C2316yes—
281#14556556C2313yes—
282#14556556C2313yes—
283C4×D292C2313yes—
284C4×D292C2313yes—
285D4×Dic73C2316yes—
286D4×Dic73C2316yes—
287D4×Dic73C2316yes—
288D4×Dic73C2316yes—
289D4×Dic73C23112yes—
290D4×Dic73C23112yes—
291D4×Dic73C2316yes—
292D4×Dic73C23112yes—
293D4×Dic73C2316yes—
294D4×Dic73C2316yes—
295D4×Dic73C23112yes—
296D4×Dic73C2316yes—
297D4×Dic73C2313yes—
298D4×Dic73C2313yes—
299#14556553C2313yes—
300#14556553C2313yes—
301C4×C22⋊D73C2316yes—
302C4×C22⋊D73C23112yes—
303C4×C22⋊D73C2316yes—
304C4×C22⋊D73C2316yes—
305C4×C22⋊D73C2316yes—
306C4×C22⋊D73C2316yes—
307C4×C22⋊D73C2316yes—
308C4×C22⋊D73C2316yes—
309C4×C22⋊D73C2312yes—
310C4×C22⋊D73C2316yes—
311C4×C22⋊D73C2316yes—
312#14556551C2316yes—
313#14556551C2316yes—
314#14556551C23112yes—
315#14556551C23112yes—
316#14556550C2316yes—
317#14556550C2316yes—
318#14556550C2316yes—
319#14556550C2316yes—
320#14556550C2316yes—
321#14556550C23112yes—
322#14556550C2316yes—
323#14556550C2316yes—
324#14556550C2313yes—
325#14556550C2316yes—
326#14556550C2312yes—
327#14556550C2316yes—
328#14556550C2316yes—
329#14556549C2316yes—
330#14556549C2316yes—
331#14556549C2313yes—
332#14556549C2313yes—
333#14556548C2316yes—
334#14556547C23112yes—
335#14556547C2316yes—
336#14556547C23112yes—
337C2×C4⋊Dic73C2316yes—
338C2×C4⋊Dic73C2316yes—
339C2×C4⋊Dic73C2316yes—
340C2×C4⋊Dic73C2316yes—
341C2×C4⋊Dic73C2313yes—
342C2×#11924007C2316yes—
343C2×#11924007C2316yes—
344C4⋊C4×D73C2313yes—
345C4⋊C4×D73C2313yes—
346C2×C22⋊Dic73C2316yes—
347C2×C22⋊Dic73C2316yes—
348C2×C22⋊Dic73C23112yes—
349C2×C22⋊Dic73C2316yes—
350C2×#11924005C2316yes—
351C22⋊C4×D73C2316yes—
352C2×C4×Dic73C2316yes—
353C2×C4×Dic73C2313yes—
354C2×C4×Dic73C2313yes—
355C2×C4×Dic73C2313yes—
356C2×C4×Dic73C23112yes—
357C42×D73C2313yes—
358C42×D73C2313yes—
359C42×D73C2311yescharacteristic
360C42×D73C2313yes—
361C42×D73C2313yes—
362C42×D73C2313yes—
363C42×D73C2313yes—
364C42×D73C2313yes—
365C2×#41×C73—216no—
366C2×#41×C73C2316yes—
367C2×#41×C73C2316yes—
368C2×#41×C73C2312yes—
369C2×#41×C73C2311yescharacteristic
370C22×Q8×C73C2312yes—
371C22×D4×C73C2316yes—
372C22×D4×C73C2313yes—
373C23×C4×C73C2316yes—
374C4⋊Q8×C73C2313yes—
375#127×C73C2313yes—
376#124×C73C2316yes—
377#123×C73C23112yes—
378C22⋊Q8×C73C2316yes—
379C22⋊Q8×C73C2316yes—
380#121×C73C2316yes—
381#121×C73C2316yes—
382#121×C73C2316yes—
383#121×C73C2316yes—
384#120×C73C23112yes—
385C4×Q8×C73C2311yescharacteristic
386C4×Q8×C73C2311yescharacteristic
387C4×D4×C73C2313yes—
388C4×D4×C73C2313yes—
389C4×D4×C73C2311yescharacteristic
390C4×D4×C73C2316yes—
391C4×D4×C73C2313yes—
392C4×D4×C73C2316yes—
393C4×D4×C73C2313yes—
394C4×D4×C73C2313yes—
395C4×D4×C73C2316yes—
396#117×C73C2313yes—
397C2×C4⋊C4×C73C2313yes—
398C2×C22⋊C4×C73C2316yes—
399C2×C42×C73C2313yes—
400C23×D73C2413yes—
401#11924029—24no—
402#11924028—212no—
403#11924027—212no—
404#11924027—412no—
405#11924027—412no—
406C2×Dic146—46no—
407C2×Dic146C2413yes—
408C2×Dic146C2413yes—
409C2×Dic146C2411yescharacteristic
410C2×Dic146C2416yes—
411C2×Dic146C2416yes—
412Q8×D73—24no—
413C2×D292C2413yes—
414C2×C22⋊D73—412no—
415C2×C22⋊D73C2416yes—
416C2×C22⋊D73C2416yes—
417C2×C22⋊D73C2412yes—
418C2×C22⋊D73C24112yes—
419C2×C22⋊D73C2416yes—
420C2×C22⋊D73C2416yes—
421D4×D73—212no—
422C22×Dic73C2413yes—
423C22×Dic73C2413yes—
424C22×Dic73C2413yes—
425C22×Dic73C2416yes—
426C22×Dic73C2416yes—
427C22×Dic73C24112yes—
428C22×Dic73C24112yes—
429C2×C4×D73—212no—
430C2×C4×D73—46no—
431C2×C4×D73—46no—
432C2×C4×D73C2411yescharacteristic
433C2×C4×D73C2411yescharacteristic
434C2×C4×D73C2411yescharacteristic
435C2×C4×D73C2413yes—
436C2×C4×D73C2413yes—
437C2×C4×D73C2413yes—
438C2×C4×D73C2413yes—
439C2×C4×D73C2413yes—
440C2×C4×D73C2413yes—
441C2×C4×D73C2413yes—
442C2×C4×D73C2413yes—
443C2×C4×D73C2413yes—
444C4⋊Dic73C2413yes—
445C4⋊Dic73C2413yes—
446C4⋊Dic73C2416yes—
447C4⋊Dic73C2412yes—
448C4⋊Dic73C2416yes—
449C4⋊Dic73C2412yes—
450C4⋊Dic73C2411yescharacteristic
451C4⋊Dic73C2413yes—
452C4⋊Dic73C2416yes—
453C4⋊Dic73C2416yes—
454C4⋊Dic73C2416yes—
455C4⋊Dic73C2416yes—
456C4⋊Dic73C2416yes—
457C4⋊Dic73C2416yes—
458C4⋊Dic73C2416yes—
459C4⋊Dic73C2416yes—
460#11924007C2416yes—
461#11924007C2416yes—
462#11924007C2412yes—
463#11924007C2412yes—
464#11924007C2416yes—
465#11924007C2416yes—
466#11924007C2416yes—
467#11924007C2416yes—
468#11924007C2416yes—
469#11924007C2416yes—
470#11924007C24112yes—
471#11924007C24112yes—
472C22⋊Dic73C2416yes—
473C22⋊Dic73C2412yes—
474C22⋊Dic73C2416yes—
475C22⋊Dic73C2416yes—
476C22⋊Dic73C2412yes—
477C22⋊Dic73C2412yes—
478C22⋊Dic73C2416yes—
479C22⋊Dic73C24112yes—
480C22⋊Dic73C2416yes—
481C22⋊Dic73C2416yes—
482C22⋊Dic73C2416yes—
483C22⋊Dic73C2416yes—
484C22⋊Dic73C2416yes—
485C22⋊Dic73C2416yes—
486C22⋊Dic73C24112yes—
487#11924005C2416yes—
488#11924005C2416yes—
489#11924005C2412yes—
490#11924005C2416yes—
491#11924005C2416yes—
492#11924005C2416yes—
493#11924005C24112yes—
494C4×Dic73C2411yescharacteristic
495C4×Dic73C2411yescharacteristic
496C4×Dic73C2411yescharacteristic
497C4×Dic73C2413yes—
498C4×Dic73C2413yes—
499C4×Dic73C2413yes—
500C4×Dic73C2413yes—
501C4×Dic73C2413yes—
502C4×Dic73C2413yes—
503C4×Dic73C2413yes—
504C4×Dic73C2413yes—
505C4×Dic73C2413yes—
506C4×Dic73C2412yes—
507C4×Dic73C2416yes—
508C4×Dic73C24112yes—
509C4×Dic73C24112yes—
510C4×Dic73C2416yes—
511C4×Dic73C2416yes—
512C24×C73C2416yes—
513#41×C73—28no—
514#41×C73—224no—
515#41×C73—224no—
516#41×C73#4118yescomplemented
517C2×Q8×C73—28no—
518C2×Q8×C73C2416yes—
519C2×Q8×C73C2411yescharacteristic
520C2×D4×C73—224no—
521C2×D4×C73—46no—
522C2×D4×C73C2411yescharacteristic
523C2×D4×C73C2413yes—
524C2×D4×C73C24112yes—
525C2×D4×C73C2416yes—
526C2×D4×C73C2416yes—
527C2×D4×C73C2416yes—
528C2×D4×C73C2413yes—
529C22×C4×C73—224no—
530C22×C4×C73C2413yes—
531C22×C4×C73C2416yes—
532C22×C4×C73C2412yes—
533C22×C4×C73C2416yes—
534C22×C4×C73C2416yes—
535C22×C4×C73C2416yes—
536C22×C4×C73C2413yes—
537C22×C4×C73C2413yes—
538C4⋊C4×C73C2411yescharacteristic
539C4⋊C4×C73C2413yes—
540C4⋊C4×C73C2416yes—
541C4⋊C4×C73C2413yes—
542C4⋊C4×C73C2413yes—
543C4⋊C4×C73C2416yes—
544C22⋊C4×C73C2412yes—
545C22⋊C4×C73C2416yes—
546C22⋊C4×C73C2416yes—
547C22⋊C4×C73C2416yes—
548C22⋊C4×C73C2416yes—
549C22⋊C4×C73C24112yes—
550C42×C73C2411yescharacteristic
551C42×C73C2413yes—
552C42×C73C2413yes—
553C42×C73C2413yes—
554C23×C73—212no—
555C23×C73—46no—
556C23×C73—46no—
557C23×C73C2512yes—
558C23×C73C2516yes—
559C23×C73C2513yes—
560C22×D73—26no—
561C22×D73—26no—
562C22×D73—43no—
563C22×D73C2513yes—
564C22×D73C2511yescharacteristic
565Q8×C73—212no—
566Q8×C73C2×#4114yes—
567D4×C73—224no—
568D4×C73—212no—
569D4×C73—22no—
570D4×C73—26no—
571D4×C73—46no—
572D4×C73—46no—
573D4×C73C2×#41112yes—
574C2×C4×C73—212no—
575C2×C4×C73—24no—
576C2×C4×C73—212no—
577C2×C4×C73—212no—
578C2×C4×C73—212no—
579C2×C4×C73—26no—
580C2×C4×C73—43no—
581C2×C4×C73C2×#41112yes—
582C2×C4×C73C2511yescharacteristic
583C2×C4×C73C2513yes—
584C2×C4×C73C2513yes—
585C2×C4×C73C2512yes—
586C2×C4×C73C2516yes—
587C2×C4×C73C2513yes—
588C2×C4×C73C2511yescharacteristic
589C2×C4×C73C2511yescharacteristic
590C22⋊D73—212no—
591C22⋊D73—24no—
592C22⋊D73—212no—
593C22⋊D73—46no—
594C22⋊D73—46no—
595C22⋊D73—412no—
596C2×Dic73—26no—
597C2×Dic73—43no—
598C2×Dic73—43no—
599C2×Dic73—46no—
600C2×Dic73—46no—
601C2×Dic73—412no—
602C2×Dic73—412no—
603C2×Dic73C2513yes—
604C2×Dic73C2513yes—
605C2×Dic73C2511yescharacteristic
606C2×Dic73C2511yescharacteristic
607C2×Dic73C2511yescharacteristic
608C2×Dic73C2512yes—
609C2×Dic73C2516yes—
610C2×Dic73C2516yes—
611C2×Dic73C2513yes—
612C2×Dic73C2512yes—
613D292—26no—
614C4×D73—22no—
615C4×D73—26no—
616C4×D73—22no—
617C4×D73—26no—
618C4×D73—26no—
619C4×D73—26no—
620C4×D73—22no—
621C4×D73—26no—
622C4×D73—43no—
623C4×D73—43no—
624C4×D73—43no—
625C4×D73—43no—
626Dic146—26no—
627Dic146—22no—
628Dic146—26no—
629Dic146—46no—
630Dic146—46no—
631C22×C73—23no—
632C22×C73—23no—
633C22×C73—22no—
634C22×C73—26no—
635C22×C73—26no—
636C22×C73—26no—
637C22×C73—22no—
638C22×C73—22no—
639C22×C73—812no—
640C22×C73C22×#4116yes—
641C22×C73C2611yescharacteristic
642C2×D73—21no—
643C2×D73—21no—
644C2×D73—23no—
645C2×D73—23no—
646C2×D73—23no—
647C2×D73—412no—
648C2×D73#58512yes—
649C4×C73—22no—
650C4×C73—26no—
651C4×C73—23no—
652C4×C73—23no—
653C4×C73—21no—
654C4×C73C22×#4116yes—
655C4×C73C22×#4112yes—
656C4×C73#58512yes—
657Dic73—23no—
658Dic73—21no—
659Dic73—22no—
660Dic73—26no—
661Dic73—26no—
662Dic73—21no—
663Dic73—21no—
664Dic73—23no—
665Dic73—23no—
666Dic73—22no—
667#62816—731nomaximal, Sylow
668C2×C73—26no—
669C2×C73—46no—
670C2×C73—42no—
671C2×C73C23×#4111yescharacteristic
672C2×C73C2×#58511yescharacteristic
673C2×C73C2×#58511yescharacteristic
674D73—22no—
675D73—43no—
676#3524—732no—
677#3523—731no—
678#3522—731no—
679#3521—736no—
680#3520—733no—
681#3519—733no—
682#3518—731no—
683#3517—731no—
684#3516—732no—
685#3515—733no—
686#3514—733no—
687#3513—736no—
688#3480—733no—
689Q8×#41—731no—
690#3475—736no—
691#3475—733no—
692D4×#41—732no—
693D4×#41D7311yescharacteristic, complemented
694#3455—736no—
695#3444—733no—
696C2×#529—733no—
697#3428—732no—
698C2×C4×#41—731no—
699C73#6281611yescharacteristic, complemented, Sylow
700C22×#41—731no—
701C22×#41C2×D7312yes—
702#559—733no—
703#559—736no—
704Q82—731no—
705#557—733no—
706#557—732no—
707#557—731no—
708#556—733no—
709#556—736no—
710#556—736no—
711#556—733no—
712#555—736no—
713#555—733no—
714#554—736no—
715#554—733no—
716#554—733no—
717#554—736no—
718#553—736no—
719#553—736no—
720#553—7312no—
721#553—736no—
722#553—736no—
723#552—7312no—
724#552—736no—
725#552—736no—
726#552—736no—
727#552—736no—
728#551—7312no—
729#551—7312no—
730#551—7312no—
731#550—732no—
732#550—733no—
733#550C2×D7311yescharacteristic, complemented
734D4×Q8—732no—
735D4×Q8—733no—
736D4×Q8C2×D7311yescharacteristic, complemented
737#548—732no—
738#548—732no—
739#548—736no—
740#548C2×D7312yescomplemented
741#547—736no—
742#547—736no—
743#547—733no—
744#547C2×D7313yescomplemented
745#546—736no—
746#546—736no—
747#546—736no—
748#546—7312no—
749#546C2×D7316yescomplemented
750D42—736no—
751D42C2×D7313yescomplemented
752#542—736no—
753#542—736no—
754#542—736no—
755#542—736no—
756#541—736no—
757#541—736no—
758#540—736no—
759#540—736no—
760#539—7312no—
761#539—7312no—
762#538—7312no—
763#538—7312no—
764#533—733no—
765#533—733no—
766#533—736no—
767#533—733no—
768#532—736no—
769#532—733no—
770#532—733no—
771#532C2×D7313yescomplemented
772#529—736no—
773#529—736no—
774#529—736no—
775#529—736no—
776#529—731no—
777#529—733no—
778#529—736no—
779#529—736no—
780#529—733no—
781#529—733no—
782#529—736no—
783#529—733no—
784#529—733no—
785#529—733no—
786#529—733no—
787#529—736no—
788#529—736no—
789#529—7312no—
790#529—7312no—
791C2×#126—736no—
792C2×#125—733no—
793C2×#124—733no—
794#525—736no—
795#525—736no—
796#525—736no—
797#525—736no—
798#525C2×D7316yescomplemented
799C2×#123—736no—
800C2×C22⋊Q8—733no—
801C2×#121—733no—
802#520—736no—
803#520—732no—
804#520—736no—
805#520—732no—
806#519—732no—
807#519—732no—
808#518—736no—
809#518—736no—
810C4×#41—731no—
811C4×#41—736no—
812C4×#41—732no—
813C4×#41—736no—
814C4×#41—731no—
815C4×#41—731no—
816C4×#41—733no—
817C4×#41—733no—
818C4×#41—736no—
819C4×#41—736no—
820C4×#41—733no—
821C4×#41—733no—
822C4×#41C2×D7311yescharacteristic
823C2×C4×Q8—731no—
824C2×C4×Q8—731no—
825C2×C4×Q8—733no—
826C2×C4×D4—736no—
827C2×C4×D4—733no—
828C2×C4×D4—733no—
829C2×C4×D4C2×D7313yescomplemented
830C2×#117—736no—
831C2×#117—736no—
832C2×#117—733no—
833C22×C42—733no—
834C2×#41—216no—
835C2×#41—731no—
836C2×#41—736no—
837C2×#41—736no—
838C2×#41—733no—
839C2×#41—733no—
840C2×#41—1468no—
841C2×#41C22×D7316yes—
842C2×#41C22×D7316yes—
843C2×#41C22×D7312yes—
844C2×#41C22×D7311yescharacteristic
845C22×Q8—731no—
846C22×Q8—733no—
847C22×Q8C22×D7312yes—
848C22×D4—736no—
849C22×D4—733no—
850C22×D4C22×D7316yes—
851C22×D4C22×D7313yes—
852C23×C4—733no—
853C23×C4—733no—
854C23×C4—733no—
855C23×C4C22×D7316yes—
856C4⋊Q8—736no—
857C4⋊Q8—736no—
858C4⋊Q8—736no—
859C4⋊Q8—733no—
860C4⋊Q8—733no—
861C4⋊Q8C22×D7313yes—
862#127—736no—
863#127C22×D7313yes—
864#126—7312no—
865#126—7312no—
866#126—732no—
867#126—736no—
868#126—736no—
869#126—736no—
870#126—736no—
871#126—736no—
872#126—736no—
873#126—736no—
874#126—7312no—
875#126—7312no—
876#126—7312no—
877#125—731no—
878#125—733no—
879#125—736no—
880#125—736no—
881#125—733no—
882#125—733no—
883#125—736no—
884#125—7312no—
885#125—7312no—
886#125—736no—
887#125—736no—
888#125—736no—
889#124—736no—
890#124—731no—
891#124—733no—
892#124—736no—
893#124—733no—
894#124—733no—
895#124—736no—
896#124—736no—
897#124—736no—
898#124—7312no—
899#124—7312no—
900#124C22×D7316yes—
901#123—7312no—
902#123—7312no—
903#123—7312no—
904#123—7312no—
905#123—732no—
906#123—736no—
907#123—736no—
908#123—736no—
909#123—736no—
910#123—736no—
911#123—736no—
912#123—736no—
913#123—7312no—
914#123—7312no—
915#123—7312no—
916#123C22×D73112yes—
917C22⋊Q8—736no—
918C22⋊Q8—736no—
919C22⋊Q8—736no—
920C22⋊Q8—736no—
921C22⋊Q8—736no—
922C22⋊Q8—736no—
923C22⋊Q8—731no—
924C22⋊Q8—733no—
925C22⋊Q8—736no—
926C22⋊Q8—733no—
927C22⋊Q8—733no—
928C22⋊Q8—736no—
929C22⋊Q8—736no—
930C22⋊Q8—7312no—
931C22⋊Q8—7312no—
932C22⋊Q8—7312no—
933C22⋊Q8—7312no—
934C22⋊Q8C22×D7316yes—
935C22⋊Q8C22×D7316yes—
936#121—731no—
937#121—733no—
938#121—736no—
939#121—736no—
940#121—733no—
941#121—733no—
942#121—736no—
943#121—736no—
944#121—736no—
945#121—7312no—
946#121—7312no—
947#121—7312no—
948#121—7312no—
949#121—736no—
950#121—736no—
951#121C22×D7316yes—
952#121C22×D7316yes—
953#121C22×D7316yes—
954#121C22×D7316yes—
955#120—7312no—
956#120—7312no—
957#120C22×D73112yes—
958C4×Q8—731no—
959C4×Q8—731no—
960C4×Q8—736no—
961C4×Q8—736no—
962C4×Q8—732no—
963C4×Q8—732no—
964C4×Q8—736no—
965C4×Q8—736no—
966C4×Q8—733no—
967C4×Q8—733no—
968C4×Q8—736no—
969C4×Q8—736no—
970C4×Q8—731no—
971C4×Q8—733no—
972C4×Q8—733no—
973C4×Q8—733no—
974C4×Q8—736no—
975C4×Q8—733no—
976C4×Q8—733no—
977C4×Q8—736no—
978C4×Q8—736no—
979C4×Q8C22×D7311yescharacteristic
980C4×Q8C22×D7311yescharacteristic
981C4×D4—733no—
982C4×D4—733no—
983C4×D4—7312no—
984C4×D4—7312no—
985C4×D4—736no—
986C4×D4—736no—
987C4×D4—736no—
988C4×D4—736no—
989C4×D4—7312no—
990C4×D4—736no—
991C4×D4—7312no—
992C4×D4—736no—
993C4×D4—736no—
994C4×D4—736no—
995C4×D4—732no—
996C4×D4—736no—
997C4×D4—736no—
998C4×D4—736no—
999C4×D4—736no—
1000C4×D4—736no—
1001C4×D4—736no—
1002C4×D4—736no—
1003C4×D4—736no—
1004C4×D4—736no—
1005C4×D4—7312no—
1006C4×D4—733no—
1007C4×D4—733no—
1008C4×D4—736no—
1009C4×D4—736no—
1010C4×D4—7312no—
1011C4×D4—7312no—
1012C4×D4—733no—
1013C4×D4—733no—
1014C4×D4C22×D7313yes—
1015C4×D4C22×D7313yes—
1016C4×D4C22×D7311yescharacteristic
1017C4×D4C22×D7313yes—
1018C4×D4C22×D7316yes—
1019C4×D4C22×D7313yes—
1020C4×D4C22×D7316yes—
1021C4×D4C22×D7313yes—
1022C4×D4C22×D7316yes—
1023#117—733no—
1024#117—732no—
1025#117—736no—
1026#117—736no—
1027#117—736no—
1028#117—736no—
1029#117—736no—
1030#117—736no—
1031#117—736no—
1032#117—736no—
1033#117—736no—
1034#117—736no—
1035#117—7312no—
1036#117—733no—
1037#117—733no—
1038#117—736no—
1039#117—736no—
1040#117—736no—
1041#117—7312no—
1042#117—7312no—
1043#117—736no—
1044#117C22×D7313yes—
1045C2×C4⋊C4—736no—
1046C2×C4⋊C4—736no—
1047C2×C4⋊C4—736no—
1048C2×C4⋊C4—736no—
1049C2×C4⋊C4—736no—
1050C2×C4⋊C4—733no—
1051C2×C4⋊C4—736no—
1052C2×C4⋊C4—733no—
1053C2×C4⋊C4—733no—
1054C2×C4⋊C4C22×D7313yes—
1055C2×C22⋊C4—736no—
1056C2×C22⋊C4—736no—
1057C2×C22⋊C4—7312no—
1058C2×C22⋊C4—736no—
1059C2×C22⋊C4—736no—
1060C2×C22⋊C4—736no—
1061C2×C22⋊C4C22×D7316yes—
1062C2×C42—733no—
1063C2×C42—736no—
1064C2×C42—7312no—
1065C2×C42—733no—
1066C2×C42—733no—
1067C2×C42—733no—
1068C2×C42—733no—
1069C2×C42—733no—
1070C2×C42—733no—
1071C2×C42—733no—
1072C2×C42—733no—
1073C2×C42—733no—
1074C2×C42—731no—
1075C2×C42C22×D7313yes—
1076C24—733no—
1077C24C23×D7316yes—
1078#41—28no—
1079#41—224no—
1080#41—224no—
1081#41—29212no—
1082#41—29212no—
1083#41—1464no—
1084#41—14612no—
1085#41—14612no—
1086#41#1192402718yescomplemented
1087C2×Q8—28no—
1088C2×Q8—2926no—
1089C2×Q8—736no—
1090C2×Q8—736no—
1091C2×Q8—731no—
1092C2×Q8—733no—
1093C2×Q8—733no—
1094C2×Q8—1464no—
1095C2×Q8C23×D7316yes—
1096C2×Q8C23×D7311yescharacteristic
1097C2×D4—224no—
1098C2×D4—46no—
1099C2×D4—29212no—
1100C2×D4—736no—
1101C2×D4—7312no—
1102C2×D4—736no—
1103C2×D4—736no—
1104C2×D4—736no—
1105C2×D4—732no—
1106C2×D4—733no—
1107C2×D4—14612no—
1108C2×D4C23×D73112yes—
1109C2×D4C23×D7316yes—
1110C2×D4C23×D7313yes—
1111C2×D4C23×D7311yescharacteristic
1112C2×D4C23×D7316yes—
1113C2×D4C23×D7316yes—
1114C2×D4C23×D7313yes—
1115C22×C4—224no—
1116C22×C4—2926no—
1117C22×C4—2926no—
1118C22×C4—733no—
1119C22×C4—733no—
1120C22×C4—736no—
1121C22×C4—736no—
1122C22×C4—7312no—
1123C22×C4—7312no—
1124C22×C4—733no—
1125C22×C4—733no—
1126C22×C4—733no—
1127C22×C4—733no—
1128C22×C4—733no—
1129C22×C4—731no—
1130C22×C4—731no—
1131C22×C4—733no—
1132C22×C4—733no—
1133C22×C4—733no—
1134C22×C4—733no—
1135C22×C4—731no—
1136C22×C4—733no—
1137C22×C4—14612no—
1138C22×C4C23×D7313yes—
1139C22×C4C23×D7316yes—
1140C22×C4C23×D7316yes—
1141C22×C4C23×D7316yes—
1142C22×C4C23×D7316yes—
1143C22×C4C23×D7312yes—
1144C22×C4C23×D7313yes—
1145C22×C4C23×D7313yes—
1146C4⋊C4—732no—
1147C4⋊C4—732no—
1148C4⋊C4—736no—
1149C4⋊C4—736no—
1150C4⋊C4—736no—
1151C4⋊C4—736no—
1152C4⋊C4—736no—
1153C4⋊C4—736no—
1154C4⋊C4—736no—
1155C4⋊C4—736no—
1156C4⋊C4—7312no—
1157C4⋊C4—7312no—
1158C4⋊C4—733no—
1159C4⋊C4—733no—
1160C4⋊C4—732no—
1161C4⋊C4—736no—
1162C4⋊C4—736no—
1163C4⋊C4—732no—
1164C4⋊C4—731no—
1165C4⋊C4—736no—
1166C4⋊C4—736no—
1167C4⋊C4—733no—
1168C4⋊C4—736no—
1169C4⋊C4—736no—
1170C4⋊C4—736no—
1171C4⋊C4—736no—
1172C4⋊C4—736no—
1173C4⋊C4—736no—
1174C4⋊C4C23×D7313yes—
1175C4⋊C4C23×D7313yes—
1176C4⋊C4C23×D7311yescharacteristic
1177C4⋊C4C23×D7313yes—
1178C4⋊C4C23×D7316yes—
1179C4⋊C4C23×D7316yes—
1180C22⋊C4—736no—
1181C22⋊C4—732no—
1182C22⋊C4—736no—
1183C22⋊C4—736no—
1184C22⋊C4—732no—
1185C22⋊C4—732no—
1186C22⋊C4—7312no—
1187C22⋊C4—736no—
1188C22⋊C4—736no—
1189C22⋊C4—736no—
1190C22⋊C4—736no—
1191C22⋊C4—736no—
1192C22⋊C4—736no—
1193C22⋊C4—736no—
1194C22⋊C4—7312no—
1195C22⋊C4—732no—
1196C22⋊C4—736no—
1197C22⋊C4—736no—
1198C22⋊C4—736no—
1199C22⋊C4—736no—
1200C22⋊C4—736no—
1201C22⋊C4—7312no—
1202C22⋊C4C23×D7316yes—
1203C22⋊C4C23×D7312yes—
1204C22⋊C4C23×D7316yes—
1205C22⋊C4C23×D7316yes—
1206C22⋊C4C23×D7316yes—
1207C22⋊C4C23×D73112yes—
1208C42—731no—
1209C42—731no—
1210C42—733no—
1211C42—733no—
1212C42—733no—
1213C42—733no—
1214C42—733no—
1215C42—733no—
1216C42—733no—
1217C42—733no—
1218C42—7312no—
1219C42—7312no—
1220C42—736no—
1221C42—736no—
1222C42—731no—
1223C42—733no—
1224C42—732no—
1225C42—736no—
1226C42C23×D7313yes—
1227C42C23×D7313yes—
1228C42C23×D7311yescharacteristic
1229C42C23×D7313yes—
1230C23—212no—
1231C23—46no—
1232C23—46no—
1233C23—2923no—
1234C23—731no—
1235C23—733no—
1236C23—1466no—
1237C23—1466no—
1238C23C24×D7312yes—
1239C23C24×D7316yes—
1240C23C24×D7313yes—
1241Q8—212no—
1242Q8—2926no—
1243Q8—2926no—
1244Q8—1466no—
1245Q8—1462no—
1246Q8—1466no—
1247Q8C2×#1192402714yes—
1248D4—224no—
1249D4—212no—
1250D4—22no—
1251D4—26no—
1252D4—46no—
1253D4—46no—
1254D4—2926no—
1255D4—2926no—
1256D4—29212no—
1257D4—1464no—
1258D4—14612no—
1259D4—14612no—
1260D4—1466no—
1261D4C2×#11924027112yes—
1262C2×C4—212no—
1263C2×C4—24no—
1264C2×C4—212no—
1265C2×C4—212no—
1266C2×C4—212no—
1267C2×C4—26no—
1268C2×C4—43no—
1269C2×C4—2923no—
1270C2×C4—2923no—
1271C2×C4—2923no—
1272C2×C4—2923no—
1273C2×C4—2923no—
1274C2×C4—2923no—
1275C2×C4—2926no—
1276C2×C4—2926no—
1277C2×C4—29212no—
1278C2×C4—29212no—
1279C2×C4—731no—
1280C2×C4—731no—
1281C2×C4—733no—
1282C2×C4—731no—
1283C2×C4—733no—
1284C2×C4—732no—
1285C2×C4—733no—
1286C2×C4—736no—
1287C2×C4—736no—
1288C2×C4—732no—
1289C2×C4—1462no—
1290C2×C4—1466no—
1291C2×C4—1466no—
1292C2×C4—1462no—
1293C2×C4—1466no—
1294C2×C4—1466no—
1295C2×C4—1466no—
1296C2×C4—1462no—
1297C2×C4—1466no—
1298C2×C4C2×#11924027112yes—
1299C2×C4C24×D7311yescharacteristic
1300C2×C4C24×D7316yes—
1301C2×C4C24×D7313yes—
1302C2×C4C24×D7313yes—
1303C2×C4C24×D7312yes—
1304C2×C4C24×D7313yes—
1305C2×C4C24×D7311yescharacteristic
1306C2×C4C24×D7311yescharacteristic
1307C22—23no—
1308C22—23no—
1309C22—22no—
1310C22—26no—
1311C22—26no—
1312C22—22no—
1313C22—26no—
1314C22—22no—
1315C22—812no—
1316C22—29212no—
1317C22—732no—
1318C22—1463no—
1319C22—1463no—
1320C22—1463no—
1321C22—1461no—
1322C22—1461no—
1323C22C22×#1192402716yes—
1324C22C25×D7311yescharacteristic
1325C4—22no—
1326C4—26no—
1327C4—21no—
1328C4—23no—
1329C4—23no—
1330C4—1461no—
1331C4—1463no—
1332C4—1461no—
1333C4—1463no—
1334C4—1462no—
1335C4—1466no—
1336C4—1461no—
1337C4—1463no—
1338C4—1466no—
1339C4—1462no—
1340C4C22×#1192402712yes—
1341C4C22×#1192402716yes—
1342C4#1798942312yes—
1343C2—26no—
1344C2—42no—
1345C2—46no—
1346C2—2923no—
1347C2—1462no—
1348C2C23×#1192402711yescharacteristic
1349C2#585×D7311yescharacteristic
1350C2C2×#1798942311yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingD4×#41×C73C2
hypercenterD4×#41D73
hypocenterC73#62816
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #22624033C2semidirect
2. #22624022C2semidirect
3. #22624011C2semidirect
4. #22623988C2semidirect
5. #22623971C2semidirect
6. #22623954C2semidirect
7. #22623943C2semidirect
8. #22623932C2semidirect
9. #22623917C2semidirect
10. #22623900C2semidirect
11. #22623883C2semidirect
12. #22623860C2semidirect
13. #22623528C2semidirect
14. #41×Dic146C2semidirect
15. #22623491C2semidirect
16. #22623489C2semidirect
17. #41×C22⋊D73C2semidirect
18. #22623319C2semidirect
19. #22623226C2semidirect
20. C2×#17989119C2semidirect
21. #22623134C2semidirect
22. C4×#41×D73C2semidirect
23. D4×#41×C73C2semidirect
25. #17989323C22semidirect
26. #17989319C22semidirect
27. Q8×Dic146C22semidirect
28. #17989316C22semidirect
29. #17989313C22semidirect
30. #17989312C22semidirect
31. #17989311C22semidirect
32. #17989308C22semidirect
33. #17989307C22semidirect
34. #17989306C22semidirect
35. #17989302C22semidirect
36. #17989301C22semidirect
37. #17989296C22semidirect
38. #17989295C22semidirect
39. #17989294C22semidirect
40. #17989294C22semidirect
41. #17989289C22semidirect
42. #17989289C22semidirect
43. #17989284C22semidirect
44. #17989283C22semidirect
45. #17989280C22semidirect
46. #17989279C22semidirect
47. #17989277C22semidirect
48. #17989274C22semidirect
49. #17989272C22semidirect
50. #17989271C22semidirect
51. #17989268C22semidirect
52. #17989263C22semidirect
53. #17989260C22semidirect
54. #17989257C22semidirect
55. #17989256C22semidirect
56. D4×Dic146C22semidirect
57. Q8×C22⋊D73C22semidirect
58. #17989248C22semidirect
59. #17989244C22semidirect
60. #17989243C22semidirect
61. #17989241C22semidirect
62. #17989237C22semidirect
63. #17989236C22semidirect
64. #17989231C22semidirect
65. #17989231C22semidirect
66. #17989225C22semidirect
67. #17989224C22semidirect
68. D4×C22⋊D73C22semidirect
69. #17989210C22semidirect
70. #17989210C22semidirect
71. #17989204C22semidirect
72. #17989204C22semidirect
73. #17989197C22semidirect
74. #17989197C22semidirect
75. #17989190C22semidirect
76. #17989190C22semidirect
77. #17989181C22semidirect
78. #17989181C22semidirect
79. #17989172C22semidirect
80. #17989172C22semidirect
81. #17989144C22semidirect
82. #17989142C22semidirect
83. #17989142C22semidirect
84. #17989140C22semidirect
85. #17989135C22semidirect
86. #17989135C22semidirect
87. #17989133C22semidirect
90. #17989119C22semidirect
91. #17989119C22semidirect
92. #17989119C22semidirect
93. #17989119C22semidirect
94. #17989119C22semidirect
95. #17989119C22semidirect
96. #17989119C22semidirect
97. #17989119C22semidirect
98. #17989119C22semidirect
99. #17989119C22semidirect
100. #17989119C22semidirect
101. #17989118C22semidirect
102. #17989118C22semidirect
103. #17989117C22semidirect
104. #17989117C22semidirect
105. #17989116C22semidirect
106. #17989116C22semidirect
107. C2×#14556584C22semidirect
108. C2×#14556582C22semidirect
109. C2×#14556578C22semidirect
110. #17989098C22semidirect
111. #17989097C22semidirect
112. #17989097C22semidirect
113. #17989094C22semidirect
114. C2×#14556573C22semidirect
115. C2×#14556571C22semidirect
117. #17989070C22semidirect
118. #17989070C22semidirect
119. #17989070C22semidirect
120. #17989070C22semidirect
121. #17989065C22semidirect
122. #17989065C22semidirect
123. #17989062C22semidirect
124. #17989062C22semidirect
127. #41×Dic73C22semidirect
128. #41×Dic73C22semidirect
129. C4×#11924029C22semidirect
130. C4×#11924029C22semidirect
131. C4×#11924028C22semidirect
132. #17989055C22semidirect
133. C4×#11924027C22semidirect
134. C4×#11924027C22semidirect
135. C4×#11924027C22semidirect
136. C4×#11924027C22semidirect
137. C2×C4×Dic146C22semidirect
138. C4×Q8×D73C22semidirect
139. C4×Q8×D73C22semidirect
140. C2×C4×C22⋊D73C22semidirect
141. C4×D4×D73C22semidirect
142. C4×D4×D73C22semidirect
143. C2×#14556550C22semidirect
144. C2×#14556550C22semidirect
145. #117×D73C22semidirect
146. C2×C42×D73C22semidirect
148. #550×C73C22semidirect
149. D4×Q8×C73C22semidirect
150. #548×C73C22semidirect
151. #547×C73C22semidirect
152. #546×C73C22semidirect
153. D42×C73C22semidirect
154. #532×C73C22semidirect
155. #525×C73C22semidirect
157. C2×C4×D4×C73C22semidirect
516. #41×C73#41semidirect
693. D4×#41D73semidirect
699. C73#62816semidirect
733. #550C2×D73semidirect
736. D4×Q8C2×D73semidirect
740. #548C2×D73semidirect
744. #547C2×D73semidirect
749. #546C2×D73semidirect
751. D42C2×D73semidirect
771. #532C2×D73semidirect
798. #525C2×D73semidirect
829. C2×C4×D4C2×D73semidirect
1086. #41#11924027semidirect

Maximal subgroups

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

subgroupindex
#226240332
#226240222
#226240112
#226239882
#226239712
#226239542
#226239432
#226239322
#226239172
#226239002
#226238832
#226238602
#226235282
#41×Dic1462
#226234912
#226234892
#41×C22⋊D732
#226233192
#226232262
C2×#179891192
#226231342
C4×#41×D732
D4×#41×C732
#6281673