Finite Group Databasebeta

← #33993807

Subgroups — #33993807

Order 18688.

7270 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624346C214yesmaximal, complemented
2#22624337C211yesmaximal, characteristic, complemented
3#22624332C211yesmaximal, characteristic, complemented
4#22624324C212yesmaximal, complemented
5#22624307C214yesmaximal, complemented
6#22624290C214yesmaximal, complemented
7#22624277C214yesmaximal, complemented
8#22624276C211yesmaximal, characteristic, complemented
9#22624266C211yesmaximal, characteristic, complemented
10#22624255C212yesmaximal, complemented
11#22624254C214yesmaximal, complemented
12#22624237C214yesmaximal, complemented
13#22624067C214yesmaximal, complemented
14#22623555C211yesmaximal, characteristic, complemented
15#22623541C212yesmaximal, complemented
16#22623493C214yesmaximal, complemented
17#22623417C214yesmaximal, complemented
18#22623347C214yesmaximal, complemented
19#22623345C214yesmaximal, complemented
20#22623258C214yesmaximal, complemented
21#22623224C212yesmaximal, complemented
22#532×D73C211yesmaximal, characteristic, complemented
23C73×#3483C211yesmaximal, characteristic, complemented
24C2×#41×D73C2212yescomplemented
25C2×#41×D73C2214yescomplemented
26#17989337C2214yescomplemented
27#17989336C2214yescomplemented
28#17989336C2214yescomplemented
29#17989332C2218yescomplemented
30#17989332C2218yescomplemented
31#17989331C2218yescomplemented
32#17989329C2214yescomplemented
33#17989325C2218yescomplemented
34#17989325C2218yescomplemented
35#17989324C2218yescomplemented
36#17989322C2212yescomplemented
37#17989317C2211yescharacteristic, complemented
38#17989309C2214yescomplemented
39#17989303C2211yescharacteristic, complemented
40#17989301C2214yescomplemented
41#17989300C2214yescomplemented
42#17989299C2214yescomplemented
43#17989297C2212yescomplemented
44#17989296C2214yescomplemented
45#17989294C2212yescomplemented
46#17989286C2218yescomplemented
47#17989283C2214yescomplemented
48#17989281C2214yescomplemented
49#17989278C2214yescomplemented
50#17989276C2214yescomplemented
51#17989270C2218yescomplemented
52#17989266C2218yescomplemented
53#17989261C2218yescomplemented
54#17989261C2218yescomplemented
55#17989257C2214yescomplemented
56#17989257C2212yescomplemented
57#17989255C2214yescomplemented
58#17989252C2214yescomplemented
59#17989245C2218yescomplemented
60#17989240C2214yescomplemented
61#17989237C2214yescomplemented
62#17989237C2214yescomplemented
63#17989236C2214yescomplemented
64#17989233C2214yescomplemented
65#17989232C2214yescomplemented
66#17989230C2218yescomplemented
67#17989226C2218yescomplemented
68#17989226C2218yescomplemented
69#17989225C2214yescomplemented
70#17989225C2214yescomplemented
71D4×D292C2212yescomplemented
72#17989222C2214yescomplemented
73#17989221C2214yescomplemented
74#17989221C2214yescomplemented
75#17989215C2214yescomplemented
76#17989214C2214yescomplemented
77#17989211C2214yescomplemented
78#17989209C2214yescomplemented
79#17989209C2214yescomplemented
80#17989208C2218yescomplemented
81#17989204C2214yescomplemented
82#17989201C2218yescomplemented
83#17989192C2218yescomplemented
84#17989191C2214yescomplemented
85#17989190C2214yescomplemented
86#17989188C2214yescomplemented
87#17989188C2214yescomplemented
88#17989187C2218yescomplemented
89#17989171C2218yescomplemented
90#17989170C2218yescomplemented
91#17989170C2218yescomplemented
92#17989169C2218yescomplemented
93#17989166C2214yescomplemented
94#17989165C2214yescomplemented
95#17989164C2218yescomplemented
96#17989164C2218yescomplemented
97#17989162C2214yescomplemented
98#17989162C2214yescomplemented
99#17989157C2214yescomplemented
100#17989157C2214yescomplemented
101#17989156C2214yescomplemented
102#17989155C2214yescomplemented
103#17989155C2214yescomplemented
104#17989153C2214yescomplemented
105#17989151C2214yescomplemented
106#17989150C2214yescomplemented
107#17989150C2214yescomplemented
108#17989150C2214yescomplemented
109#17989145C2218yescomplemented
110#17989145C2218yescomplemented
111#17989141C2212yescomplemented
112#17989141C2212yescomplemented
113#17989140C2212yescomplemented
114#17989138C2211yescharacteristic
115#17989137C2211yescharacteristic
116#17989137C2214yescomplemented
117#17989136C2212yescomplemented
118#17989135C2211yescharacteristic, complemented
119#17989134C2212yes—
120#17989134C2214yescomplemented
121#17989134C2212yescomplemented
122#17989134C2214yescomplemented
123#17989133C2214yescomplemented
124#17989133C2214yescomplemented
125#17989133C2212yescomplemented
126#17989133C2212yescomplemented
127#17989132C2214yescomplemented
128C4⋊Q8×D73C2211yescharacteristic, complemented
129#127×D73C2211yescharacteristic
130#17989124C2214yescomplemented
131#17989124C2212yescomplemented
132#17989124C2212yescomplemented
133#17989121C2214yescomplemented
134#17989121C2218yescomplemented
135#17989119C2212yescomplemented
136#17989119C2212yescomplemented
137#17989117C2218yescomplemented
138#17989117C2214yescomplemented
139#17989117C2214yescomplemented
140#17989115C2214yescomplemented
141#17989115C2214yescomplemented
142#124×D73C2212yescomplemented
143#17989099C2212yescomplemented
144#17989096C2218yescomplemented
145#17989096C2214yescomplemented
146#17989096C2218yescomplemented
147#17989096C2218yescomplemented
148#17989096C2218yescomplemented
149#17989096C2214yescomplemented
150#17989094C2218yescomplemented
151#17989094C2212yescomplemented
152#121×D73C2214yescomplemented
153C4×#11924028C2214yescomplemented
154C4×#11924028C2212yescomplemented
155C4×#11924028C2214yescomplemented
156C4×#11924027C2214yescomplemented
157C2×C4×D292C2214yescomplemented
158C4×D4×D73C2214yescomplemented
159C4×D4×D73C2214yescomplemented
160C2×#14556548C2214yescomplemented
161C2×C42×D73C2211yescharacteristic, complemented
162Q82×C73C2211yescharacteristic, complemented
163#555×C73C2211yescharacteristic, complemented
164#555×C73C2214yescomplemented
165#555×C73C2214yescomplemented
166#550×C73C2214yescomplemented
167#550×C73C2212yescomplemented
168#532×C73C2214yescomplemented
169#532×C73C2211yescharacteristic, complemented
170#532×C73C2214yescomplemented
171C4×#41×C73C2214yescomplemented
172C4×#41×C73C2212yescomplemented
173C2×#11924029C2312yes—
174C2×#11924029C2314yes—
175C2×#11924028C2314yes—
176C2×#11924028C2314yes—
177C2×#11924028C2314yes—
178C2×#11924028C2312yes—
179C2×#11924028C2312yes—
180C2×#11924028C2314yes—
181C2×#11924027C2314yes—
182C2×#11924027C2312yes—
183C2×#11924027C2314yes—
184C2×#11924027C2314yes—
185C2×#11924027C2318yes—
186#41×D73—48no—
187#41×D73—416no—
188C2×Q8×D73C2312yes—
189C2×Q8×D73C2314yes—
190C22×D292C2314yes—
191C2×D4×D73C2312yes—
192C2×D4×D73C2314yes—
193C2×D4×D73C2314yes—
194C2×D4×D73C2318yes—
195C2×D4×D73C2314yes—
196C2×D4×D73C2314yes—
197C22×C4×D73C2311yescharacteristic
198C22×C4×D73C2314yes—
199C22×C4×D73C2318yes—
200C22×C4×D73C2312yes—
201#14556591C2311yescharacteristic
202#14556591C2314yes—
203#14556590C2314yes—
204#14556590C2312yes—
205#14556590C2312yes—
206#14556590C2314yes—
207#14556589C2312yes—
208#14556589C2312yes—
209#14556589C2314yes—
210#14556589C2314yes—
211#14556588C2311yescharacteristic
212#14556588C2314yes—
213#14556587C2314yes—
214#14556587C2312yes—
215#14556587C2312yes—
216#14556587C2314yes—
217#14556587C2314yes—
218#14556587C2314yes—
219#14556586C2314yes—
220#14556586C2318yes—
221#14556586C2314yes—
222#14556586C2318yes—
223#14556585C2318yes—
224#14556585C2318yes—
225#14556585C2318yes—
226#14556584C2314yes—
227#14556584C2318yes—
228#14556584C2314yes—
229#14556583C2314yes—
230#14556583C2318yes—
231#14556582C2312yes—
232#14556582C2312yes—
233#14556582C2314yes—
234#14556581C2314yes—
235#14556581C2314yes—
236#14556581C2318yes—
237#14556580C2312yes—
238#14556580C2314yes—
239#14556580C2312yes—
240#14556580C2314yes—
241#14556580C2314yes—
242#14556579C2314yes—
243#14556579C2318yes—
244#14556579C2312yes—
245#14556579C2314yes—
246#14556579C2314yes—
247#14556578C2312yes—
248#14556578C2312yes—
249#14556578C2314yes—
250#14556578C2314yes—
251#14556577C2318yes—
252#14556577C2314yes—
253#14556577C2318yes—
254#14556577C2314yes—
255#14556577C2318yes—
256#14556576C2314yes—
257#14556576C2314yes—
258#14556576C2318yes—
259#14556576C2318yes—
260#14556576C2318yes—
261#14556576C2318yes—
262#14556576C2318yes—
263#14556575C2318yes—
264#14556575C2314yes—
265#14556574C2318yes—
266#14556574C2318yes—
267#14556574C2318yes—
268#14556573C2314yes—
269#14556573C2318yes—
270#14556573C2318yes—
271#14556573C2318yes—
272#14556573C2314yes—
273#14556573C2318yes—
274#14556572C2318yes—
275#14556572C2318yes—
276#14556572C2318yes—
277#14556572C2314yes—
278#14556571C2312yes—
279#14556571C2312yes—
280#14556570C2318yes—
281#14556570C2314yes—
282#14556569C2314yes—
283#14556569C2314yes—
284#14556569C2318yes—
285#14556569C2318yes—
286#14556569C2318yes—
287#14556569C2318yes—
288#14556568C2314yes—
289#14556568C2314yes—
290#14556568C2318yes—
291#14556568C2318yes—
292#14556568C2318yes—
293#14556568C2318yes—
294#14556568C2318yes—
295#14556567C2312yes—
296#14556567C2312yes—
297#14556567C2314yes—
298#14556567C2318yes—
299#14556567C2318yes—
300#14556566C2312yes—
301#14556566C2312yes—
302#14556566C2314yes—
303#14556566C2314yes—
304#14556566C2314yes—
305#14556565C2318yes—
306#14556565C2314yes—
307#14556565C2314yes—
308#14556565C2318yes—
309#14556565C2318yes—
310#14556564C2314yes—
311#14556564C2318yes—
312#14556564C2314yes—
313#14556564C2318yes—
314#14556564C2318yes—
315#14556564C2318yes—
316#14556564C2318yes—
317#14556564C2318yes—
318#14556563C2318yes—
319#14556563C2318yes—
320#14556563C2318yes—
321#14556563C2318yes—
322#14556563C2318yes—
323#14556563C2314yes—
324#14556563C2314yes—
325#14556563C2318yes—
326#14556563C2318yes—
327#14556563C2318yes—
328#14556563C2318yes—
329#14556563C2318yes—
330#14556562C2312yes—
331#14556562C2314yes—
332#14556562C2312yes—
333#14556562C2314yes—
334#14556562C2318yes—
335#14556562C2318yes—
336#14556561C2314yes—
337#14556561C2318yes—
338#14556561C2318yes—
339#14556561C2318yes—
340#14556561C2318yes—
341#14556559C2314yes—
342#14556559C2318yes—
343#14556559C2318yes—
344#14556559C2318yes—
345#14556559C2318yes—
346#14556559C2318yes—
347#14556559C2318yes—
348C4×Dic146C2312yes—
349C4×Dic146C2314yes—
350C4×Dic146C2314yes—
351C4×Dic146C2314yes—
352C4×Dic146C2314yes—
353C4×Dic146C2312yes—
354#14556556C2314yes—
355C4×D292C2314yes—
356C4×D292C2318yes—
357C4×D292C2312yes—
358C4×D292C2312yes—
359C4×D292C2314yes—
360C4×D292C2314yes—
361C4×D292C2314yes—
362C4×D292C2314yes—
363C4×D292C2314yes—
364C4×D292C2318yes—
365C4×D292C2314yes—
366D4×Dic73C2314yes—
367D4×Dic73C2314yes—
368D4×Dic73C2314yes—
369#14556553C2314yes—
370#14556553C2314yes—
371C4×C22⋊D73C2318yes—
372C4×C22⋊D73C2318yes—
373C4×C22⋊D73C2318yes—
374C4×C22⋊D73C2314yes—
375C4×C22⋊D73C2314yes—
376C4×C22⋊D73C2314yes—
377C4×C22⋊D73C2314yes—
378C4×C22⋊D73C2314yes—
379C4×C22⋊D73C2314yes—
380C4×C22⋊D73C2314yes—
381C4×C22⋊D73C2314yes—
382C4×C22⋊D73C2314yes—
383C4×C22⋊D73C2314yes—
384#14556551C2318yes—
385#14556551C2318yes—
386#14556551C2318yes—
387#14556550C2312yes—
388#14556550C2314yes—
389#14556550C2314yes—
390#14556549C2314yes—
391#14556548C2318yes—
392#14556548C2314yes—
393#14556548C2314yes—
394#14556548C2314yes—
395#14556548C2314yes—
396#14556548C2314yes—
397#14556548C2314yes—
398#14556548C2314yes—
399#14556548C2314yes—
400#14556548C2314yes—
401#14556547C2318yes—
402C2×C4⋊Dic73C2314yes—
403C2×#11924007C2318yes—
404C4⋊C4×D73C2314yes—
405C4⋊C4×D73C2314yes—
406C2×#11924005C2318yes—
407C2×#11924005C2318yes—
408C22⋊C4×D73C2318yes—
409C22⋊C4×D73C2318yes—
410C2×C4×Dic73C2312yes—
411C2×C4×Dic73C2311yescharacteristic
412C2×C4×Dic73C2314yes—
413C42×D73C2311yescharacteristic
414C42×D73C2312yes—
415C42×D73C2314yes—
416C42×D73C2312yes—
417C42×D73C2311yescharacteristic
418C42×D73C2311yescharacteristic
419C42×D73C2311yescharacteristic
420C2×#41×C73C2312yes—
421C2×#41×C73C2314yes—
422C2×#41×C73C2312yes—
423C2×#41×C73C2314yes—
424C4⋊Q8×C73C2311yescharacteristic
425C4⋊Q8×C73C2314yes—
426C4⋊Q8×C73C2314yes—
427#127×C73C2311yescharacteristic
428#127×C73C2314yes—
429#127×C73C2314yes—
430#124×C73C2312yes—
431#124×C73C2314yes—
432#124×C73C2314yes—
433#124×C73C2318yes—
434#121×C73C2314yes—
435#121×C73C2318yes—
436#121×C73C2318yes—
437#121×C73C2314yes—
438#121×C73C2314yes—
439#121×C73C2318yes—
440C4×Q8×C73C2312yes—
441C4×Q8×C73C2312yes—
442C4×Q8×C73C2314yes—
443C4×D4×C73C2312yes—
444C4×D4×C73C2314yes—
445C4×D4×C73C2312yes—
446C4×D4×C73C2318yes—
447C4×D4×C73C2314yes—
448C4×D4×C73C2314yes—
449C4×D4×C73C2318yes—
450C4×D4×C73C2314yes—
451#117×C73C2312yes—
452#117×C73C2314yes—
453#117×C73C2318yes—
454#117×C73C2314yes—
455C2×C42×C73C2314yes—
456C2×C42×C73C2314yes—
457C2×C42×C73C2311yescharacteristic
458C23×D73C2414yes—
459C23×D73C2411yescharacteristic
460C23×D73C2418yes—
461#11924029—44no—
462#11924029—48no—
463#11924028—216no—
464#11924028—44no—
465#11924028—44no—
466#11924028—48no—
467#11924028—48no—
468#11924028—48no—
469#11924027—48no—
470#11924027—416no—
471#11924027—48no—
472#11924027—44no—
473#11924027—48no—
474C2×Dic146C2412yes—
475C2×Dic146C2414yes—
476C2×Dic146C2414yes—
477C2×Dic146C2412yes—
478C2×Dic146C2414yes—
479C2×Dic146C2414yes—
480Q8×D73—48no—
481Q8×D73—44no—
482C2×D292—48no—
483C2×D292C2414yes—
484C2×D292C2412yes—
485C2×D292C2414yes—
486C2×D292C2418yes—
487C2×D292C2414yes—
488C2×D292C2412yes—
489C2×D292C2414yes—
490C2×D292C2414yes—
491C2×C22⋊D73C2414yes—
492C2×C22⋊D73C2414yes—
493C2×C22⋊D73C2418yes—
494C2×C22⋊D73C2418yes—
495C2×C22⋊D73C2418yes—
496C2×C22⋊D73C2414yes—
497C2×C22⋊D73C2414yes—
498C2×C22⋊D73C2414yes—
499C2×C22⋊D73C2414yes—
500C2×C22⋊D73C2414yes—
501C2×C22⋊D73C2418yes—
502C2×C22⋊D73C2414yes—
503D4×D73—48no—
504D4×D73—48no—
505D4×D73—48no—
506D4×D73—44no—
507D4×D73—48no—
508D4×D73—416no—
509C22×Dic73C2411yescharacteristic
510C22×Dic73C2414yes—
511C22×Dic73C2412yes—
512C22×Dic73C2418yes—
513C22×Dic73C2418yes—
514C2×C4×D73—24no—
515C2×C4×D73—216no—
516C2×C4×D73—44no—
517C2×C4×D73—416no—
518C2×C4×D73C2412yes—
519C2×C4×D73C2412yes—
520C2×C4×D73C2411yescharacteristic
521C2×C4×D73C2411yescharacteristic
522C2×C4×D73C2411yescharacteristic
523C2×C4×D73C2414yes—
524C2×C4×D73C2414yes—
525C2×C4×D73C2414yes—
526C2×C4×D73C2414yes—
527C2×C4×D73C2414yes—
528C2×C4×D73C2412yes—
529C2×C4×D73C2412yes—
530C2×C4×D73C2414yes—
531C2×C4×D73C2418yes—
532C2×C4×D73C2418yes—
533C2×C4×D73C2411yescharacteristic
534C4⋊Dic73C2414yes—
535C4⋊Dic73C2412yes—
536C4⋊Dic73C2418yes—
537C4⋊Dic73C2412yes—
538C4⋊Dic73C2414yes—
539C4⋊Dic73C2414yes—
540C4⋊Dic73C2414yes—
541C4⋊Dic73C2414yes—
542#11924007C2418yes—
543#11924007C2418yes—
544#11924007C2414yes—
545#11924007C2414yes—
546#11924007C2418yes—
547#11924007C2418yes—
548#11924007C2414yes—
549#11924007C2418yes—
550#11924007C2414yes—
551#11924007C2414yes—
552#11924007C2414yes—
553#11924007C2414yes—
554#11924007C2414yes—
555#11924007C2414yes—
556#11924007C2414yes—
557C22⋊Dic73C2418yes—
558C22⋊Dic73C2418yes—
559C22⋊Dic73C2418yes—
560C22⋊Dic73C2414yes—
561C22⋊Dic73C2414yes—
562C22⋊Dic73C2414yes—
563C22⋊Dic73C2414yes—
564C22⋊Dic73C2414yes—
565#11924005C2418yes—
566#11924005C2418yes—
567#11924005C2418yes—
568#11924005C2414yes—
569#11924005C2414yes—
570#11924005C2414yes—
571#11924005C2418yes—
572#11924005C2418yes—
573#11924005C2418yes—
574#11924005C2418yes—
575#11924005C2414yes—
576#11924005C2414yes—
577#11924005C2414yes—
578#11924005C2414yes—
579#11924005C2414yes—
580#11924005C2414yes—
581#11924005C2414yes—
582#11924005C2418yes—
583C4×Dic73C2412yes—
584C4×Dic73C2412yes—
585C4×Dic73C2412yes—
586C4×Dic73C2412yes—
587C4×Dic73C2412yes—
588C4×Dic73C2411yescharacteristic
589C4×Dic73C2411yescharacteristic
590C4×Dic73C2414yes—
591C4×Dic73C2414yes—
592C4×Dic73C2414yes—
593C4×Dic73C2414yes—
594C4×Dic73C2414yes—
595#41×C73—44no—
596#41×C73—48no—
597#41×C73—44no—
598#41×C73—48no—
599C2×Q8×C73C2412yes—
600C2×Q8×C73C2414yes—
601C2×Q8×C73C2412yes—
602C2×D4×C73C2412yes—
603C2×D4×C73C2414yes—
604C2×D4×C73C2418yes—
605C2×D4×C73C2414yes—
606C2×D4×C73C2414yes—
607C2×D4×C73C2418yes—
608C2×D4×C73C2414yes—
609C2×D4×C73C2412yes—
610C22×C4×C73C2412yes—
611C22×C4×C73C2414yes—
612C22×C4×C73C2414yes—
613C22×C4×C73C2411yescharacteristic
614C22×C4×C73C2414yes—
615C22×C4×C73C2414yes—
616C22×C4×C73C2418yes—
617C4⋊C4×C73C2412yes—
618C4⋊C4×C73C2414yes—
619C4⋊C4×C73C2412yes—
620C4⋊C4×C73C2414yes—
621C4⋊C4×C73C2418yes—
622C4⋊C4×C73C2414yes—
623C22⋊C4×C73C2414yes—
624C22⋊C4×C73C2418yes—
625C22⋊C4×C73C2418yes—
626C22⋊C4×C73C2414yes—
627C22⋊C4×C73C2414yes—
628C22⋊C4×C73C2418yes—
629C42×C73C2412yes—
630C42×C73C2414yes—
631C42×C73C2411yescharacteristic
632C42×C73C2414yes—
633C42×C73C2414yes—
634C42×C73C2411yescharacteristic
635C42×C73C2414yes—
636C42×C73C2414yes—
637C23×C73C2514yes—
638C23×C73C2511yescharacteristic
639C23×C73C2514yes—
640C22×D73—22no—
641C22×D73—28no—
642C22×D73—42no—
643C22×D73—48no—
644C22×D73—48no—
645C22×D73—48no—
646C22×D73—48no—
647C22×D73C2514yes—
648C22×D73C2514yes—
649C22×D73C2511yescharacteristic
650C22×D73C2511yescharacteristic
651Q8×C73—24no—
652Q8×C73—44no—
653Q8×C73—42no—
654D4×C73—24no—
655D4×C73—28no—
656D4×C73—44no—
657D4×C73—48no—
658D4×C73—48no—
659D4×C73—42no—
660D4×C73—44no—
661D4×C73—44no—
662C2×C4×C73—22no—
663C2×C4×C73—28no—
664C2×C4×C73—28no—
665C2×C4×C73—24no—
666C2×C4×C73—28no—
667C2×C4×C73—48no—
668C2×C4×C73—44no—
669C2×C4×C73C2512yes—
670C2×C4×C73C2514yes—
671C2×C4×C73C2514yes—
672C2×C4×C73C2511yescharacteristic
673C2×C4×C73C2514yes—
674C2×C4×C73C2514yes—
675C2×C4×C73C2512yes—
676C2×C4×C73C2511yescharacteristic
677C22⋊D73—28no—
678C22⋊D73—28no—
679C22⋊D73—48no—
680C22⋊D73—48no—
681C22⋊D73—48no—
682C22⋊D73—44no—
683C22⋊D73—44no—
684C22⋊D73—44no—
685C22⋊D73—48no—
686C22⋊D73—44no—
687C22⋊D73—44no—
688C22⋊D73—44no—
689C2×Dic73—22no—
690C2×Dic73—28no—
691C2×Dic73—42no—
692C2×Dic73—48no—
693C2×Dic73—48no—
694C2×Dic73C2512yes—
695C2×Dic73C2514yes—
696C2×Dic73C2514yes—
697C2×Dic73C2512yes—
698C2×Dic73C2511yescharacteristic
699C2×Dic73C2514yes—
700C2×Dic73C2514yes—
701C2×Dic73C2511yescharacteristic
702D292—28no—
703D292—28no—
704D292—24no—
705D292—42no—
706D292—44no—
707D292—44no—
708D292—48no—
709D292—44no—
710C4×D73—22no—
711C4×D73—28no—
712C4×D73—28no—
713C4×D73—22no—
714C4×D73—28no—
715C4×D73—24no—
716C4×D73—24no—
717C4×D73—28no—
718C4×D73—28no—
719C4×D73—22no—
720C4×D73—42no—
721C4×D73—42no—
722C4×D73—48no—
723C4×D73—48no—
724C4×D73—44no—
725C4×D73H(5,𝔽2)14yes—
726Dic146—24no—
727Dic146—28no—
728Dic146—44no—
729Dic146—44no—
730Dic146—42no—
731Dic146—44no—
732C22×C73—21no—
733C22×C73—24no—
734C22×C73—24no—
735C22×C73—22no—
736C22×C73—28no—
737C22×C73—24no—
738C22×C73—24no—
739C22×C73C2611yescharacteristic
740C2×D73—22no—
741C2×D73—24no—
742C2×D73—21no—
743C2×D73—24no—
744C2×D73—22no—
745C2×D73—24no—
746C2×D73—24no—
747C2×D73—28no—
748C2×D73—44no—
749C2×D73—88no—
750C2×D73—816no—
751C2×D73C2×H(5,𝔽2)12yes—
752C4×C73—24no—
753C4×C73—21no—
754C4×C73—24no—
755C4×C73—24no—
756C4×C73—22no—
757C4×C73—24no—
758C4×C73C2×H(5,𝔽2)12yes—
759C4×C73#58514yes—
760Dic73—24no—
761Dic73—21no—
762Dic73—24no—
763Dic73—24no—
764Dic73—22no—
765Dic73—24no—
766Dic73—22no—
767Dic73C2×H(5,𝔽2)12yes—
768#62759—731nomaximal, Sylow
769C2×C73—41no—
770C2×C73—44no—
771C2×C73—44no—
772C2×C73C22×H(5,𝔽2)11yescharacteristic
773C2×C73C2×#58512yes—
774D73—22no—
775D73—41no—
776D73—44no—
777D73—44no—
778#3551—734no—
779#3550—731no—
780#3549—731no—
781#3548—732no—
782#3547—734no—
783#3546—734no—
784#3545—734no—
785#3544—731no—
786#3544—731no—
787#3543—732no—
788#3542—734no—
789#3542—734no—
790#3529—734no—
791#3483—731no—
792#3483D7311yescharacteristic, complemented
793#3481—732no—
794#3475—734no—
795D4×#41—734no—
796#3460—734no—
797#3460—734no—
798#3449—734no—
799#3444—732no—
800C2×#532—731no—
801C73#6275911yescharacteristic, complemented, Sylow
802C22×#41—732no—
803C22×#41—734no—
804#563—734no—
805#563—734no—
806#563—734no—
807#562—738no—
808#562—738no—
809#562—738no—
810H(3,𝔽4)—734no—
811#560—738no—
812#560—738no—
813#560—738no—
814#559—732no—
815Q82—731no—
816Q82C2×D7311yescharacteristic, complemented
817#556—734no—
818#555—731no—
819#555—734no—
820#555—734no—
821#555—734no—
822#555C2×D7314yescomplemented
823#555C2×D7311yescharacteristic, complemented
824#555C2×D7314yescomplemented
825#554—732no—
826#554—734no—
827#554—732no—
828#553—738no—
829#553—734no—
830#553—734no—
831#552—734no—
832#552—738no—
833#552—734no—
834#551—738no—
835#551—738no—
836#551—738no—
837#550—734no—
838#550—732no—
839#550—734no—
840#550C2×D7314yescomplemented
841#550C2×D7312yescomplemented
842D4×Q8—734no—
843#548—738no—
844#547—734no—
845#547—734no—
846#547—734no—
847#547—734no—
848#546—734no—
849#546—734no—
850#546—738no—
851#546—738no—
852#546—738no—
853#546—734no—
854#546—734no—
855D42—734no—
856D42—734no—
857D42—734no—
858D42—732no—
859#544—734no—
860#544—734no—
861#542—734no—
862#542—738no—
863#542—734no—
864#542—734no—
865#542—734no—
866#542—738no—
867#540—734no—
868#540—738no—
869#540—734no—
870#540—734no—
871#540—734no—
872#540—738no—
873#538—738no—
874#538—738no—
875#538—738no—
876#538—738no—
877#537—734no—
878#537—738no—
879#537—738no—
880#537—734no—
881#536—734no—
882#536—734no—
883#536—734no—
884#536—734no—
885#535—734no—
886#535—734no—
887#535—734no—
888#535—734no—
889#535—734no—
890#535—734no—
891#535—734no—
892#535—734no—
893#534—738no—
894#534—738no—
895#533—732no—
896#533—732no—
897#533—732no—
898#532—732no—
899#532—732no—
900#532—734no—
901#532—734no—
902#532—731no—
903#532—731no—
904#532—732no—
905#532—734no—
906#532—732no—
907#532—734no—
908#532—732no—
909#532—734no—
910#532—731no—
911#532—734no—
912#532C2×D7311yescharacteristic, complemented
913#532C2×D7314yescomplemented
914#532C2×D7314yescomplemented
915C2×C4⋊Q8—731no—
916C2×#127—731no—
917#529—732no—
918#529—732no—
919#529—734no—
920#529—732no—
921#529—734no—
922#529—732no—
923#529—734no—
924#529—738no—
925#529—734no—
926#529—734no—
927#529—734no—
928#529—738no—
929C2×#124—732no—
930#525—732no—
931#525—738no—
932#525—734no—
933#525—734no—
934#525—738no—
935#525—738no—
936#525—738no—
937#525—738no—
938#525—732no—
939C2×#121—734no—
940C4×#41—734no—
941C4×#41—734no—
942C4×#41—734no—
943C4×#41—732no—
944C4×#41C2×D7312yescomplemented
945C4×#41C2×D7314yescomplemented
946C2×C4×D4—734no—
947C2×C4×D4—734no—
948C2×C4×D4—734no—
949C2×#117—734no—
950C22×C42—731no—
951C2×#41—29216no—
952C2×#41—2928no—
953C2×#41—732no—
954C2×#41—734no—
955C2×#41—734no—
956C2×#41—734no—
957C2×#41—732no—
958C2×#41—734no—
959C2×#41—738no—
960C2×#41—734no—
961C2×#41—732no—
962C2×#41—732no—
963C2×#41—734no—
964C2×#41—734no—
965C2×#41—734no—
966C2×#41C22×D7312yes—
967C2×#41C22×D7314yes—
968C2×#41C22×D7314yes—
969C2×#41C22×D7312yes—
970C22×Q8—732no—
971C22×Q8—734no—
972C22×D4—734no—
973C22×D4—734no—
974C22×D4—734no—
975C22×D4—732no—
976C22×D4—738no—
977C22×D4—734no—
978C22×D4—734no—
979C23×C4—738no—
980C23×C4—732no—
981C23×C4—734no—
982C23×C4—731no—
983C4⋊Q8—732no—
984C4⋊Q8—732no—
985C4⋊Q8—734no—
986C4⋊Q8—734no—
987C4⋊Q8—734no—
988C4⋊Q8—732no—
989C4⋊Q8—732no—
990C4⋊Q8—734no—
991C4⋊Q8—731no—
992C4⋊Q8—734no—
993C4⋊Q8C22×D7311yescharacteristic
994C4⋊Q8C22×D7314yes—
995C4⋊Q8C22×D7314yes—
996#127—734no—
997#127—732no—
998#127—732no—
999#127—734no—
1000#127—734no—
1001#127—734no—
1002#127—731no—
1003#127—734no—
1004#127C22×D7311yescharacteristic
1005#127C22×D7314yes—
1006#127C22×D7314yes—
1007#126—734no—
1008#126—734no—
1009#126—738no—
1010#126—738no—
1011#126—734no—
1012#126—734no—
1013#126—738no—
1014#126—738no—
1015#126—738no—
1016#126—738no—
1017#125—732no—
1018#125—732no—
1019#125—734no—
1020#125—734no—
1021#125—738no—
1022#125—734no—
1023#125—738no—
1024#125—734no—
1025#124—732no—
1026#124—732no—
1027#124—734no—
1028#124—734no—
1029#124—734no—
1030#124—732no—
1031#124—732no—
1032#124—734no—
1033#124—734no—
1034#124—738no—
1035#124—734no—
1036#124—734no—
1037#124—738no—
1038#124—738no—
1039#124—732no—
1040#124—734no—
1041#124—738no—
1042#124—734no—
1043#124—734no—
1044#124C22×D7312yes—
1045#124C22×D7314yes—
1046#124C22×D7314yes—
1047#124C22×D7318yes—
1048#123—734no—
1049#123—738no—
1050#123—738no—
1051#123—738no—
1052#123—738no—
1053#123—738no—
1054#123—738no—
1055#123—734no—
1056#123—734no—
1057#123—738no—
1058#123—738no—
1059#123—738no—
1060#123—738no—
1061#123—738no—
1062#123—734no—
1063#123—734no—
1064#123—734no—
1065#123—738no—
1066#123—738no—
1067#123—738no—
1068#123—738no—
1069#123—738no—
1070C22⋊Q8—732no—
1071C22⋊Q8—732no—
1072C22⋊Q8—738no—
1073C22⋊Q8—738no—
1074C22⋊Q8—734no—
1075C22⋊Q8—734no—
1076C22⋊Q8—738no—
1077C22⋊Q8—734no—
1078C22⋊Q8—732no—
1079C22⋊Q8—732no—
1080C22⋊Q8—734no—
1081C22⋊Q8—738no—
1082C22⋊Q8—738no—
1083C22⋊Q8—738no—
1084C22⋊Q8—738no—
1085C22⋊Q8—734no—
1086C22⋊Q8—734no—
1087C22⋊Q8—738no—
1088C22⋊Q8—738no—
1089C22⋊Q8—738no—
1090C22⋊Q8—738no—
1091C22⋊Q8—738no—
1092#121—734no—
1093#121—738no—
1094#121—734no—
1095#121—732no—
1096#121—732no—
1097#121—734no—
1098#121—738no—
1099#121—738no—
1100#121—738no—
1101#121—738no—
1102#121—738no—
1103#121—738no—
1104#121—738no—
1105#121—738no—
1106#121—738no—
1107#121—738no—
1108#121—738no—
1109#121—734no—
1110#121—734no—
1111#121—734no—
1112#121—738no—
1113#121—738no—
1114#121—738no—
1115#121—734no—
1116#121—732no—
1117#121—732no—
1118#121—734no—
1119#121—734no—
1120#121—738no—
1121#121—734no—
1122#121—734no—
1123#121—738no—
1124#121—738no—
1125#121—738no—
1126#121—738no—
1127#121—738no—
1128#121C22×D7314yes—
1129#121C22×D7318yes—
1130#121C22×D7318yes—
1131#121C22×D7314yes—
1132#121C22×D7314yes—
1133#121C22×D7318yes—
1134#120—734no—
1135#120—738no—
1136#120—738no—
1137#120—738no—
1138#120—738no—
1139#120—738no—
1140#120—738no—
1141#120—734no—
1142#120—738no—
1143#120—738no—
1144#120—738no—
1145#120—738no—
1146C4×Q8—734no—
1147C4×Q8—732no—
1148C4×Q8—734no—
1149C4×Q8—734no—
1150C4×Q8—734no—
1151C4×Q8—734no—
1152C4×Q8—732no—
1153C4×Q8C22×D7312yes—
1154C4×Q8C22×D7312yes—
1155C4×Q8C22×D7314yes—
1156C4×D4—734no—
1157C4×D4—734no—
1158C4×D4—734no—
1159C4×D4—738no—
1160C4×D4—738no—
1161C4×D4—734no—
1162C4×D4—734no—
1163C4×D4—738no—
1164C4×D4—734no—
1165C4×D4—734no—
1166C4×D4—734no—
1167C4×D4—734no—
1168C4×D4—734no—
1169C4×D4—734no—
1170C4×D4—734no—
1171C4×D4—734no—
1172C4×D4—734no—
1173C4×D4—734no—
1174C4×D4—738no—
1175C4×D4—738no—
1176C4×D4—738no—
1177C4×D4—734no—
1178C4×D4—732no—
1179C4×D4—738no—
1180C4×D4—734no—
1181C4×D4—734no—
1182C4×D4—738no—
1183C4×D4—734no—
1184C4×D4—734no—
1185C4×D4—734no—
1186C4×D4—734no—
1187C4×D4—732no—
1188C4×D4C22×D7312yes—
1189C4×D4C22×D7314yes—
1190C4×D4C22×D7314yes—
1191C4×D4C22×D7318yes—
1192C4×D4C22×D7314yes—
1193C4×D4C22×D7312yes—
1194C4×D4C22×D7318yes—
1195C4×D4C22×D7314yes—
1196#117—734no—
1197#117—732no—
1198#117—734no—
1199#117—734no—
1200#117—738no—
1201#117—734no—
1202#117—738no—
1203#117—734no—
1204#117—734no—
1205#117—734no—
1206#117—734no—
1207#117—734no—
1208#117—734no—
1209#117—734no—
1210#117—734no—
1211#117C22×D7312yes—
1212#117C22×D7314yes—
1213#117C22×D7314yes—
1214#117C22×D7318yes—
1215C2×C4⋊C4—738no—
1216C2×C4⋊C4—734no—
1217C2×C4⋊C4—734no—
1218C2×C4⋊C4—734no—
1219C2×C22⋊C4—738no—
1220C2×C22⋊C4—738no—
1221C2×C22⋊C4—738no—
1222C2×C22⋊C4—738no—
1223C2×C42—734no—
1224C2×C42—731no—
1225C2×C42—732no—
1226C2×C42—732no—
1227C2×C42—734no—
1228C2×C42—732no—
1229C2×C42—731no—
1230C2×C42—731no—
1231C2×C42—731no—
1232C2×C42—731no—
1233C2×C42C22×D7314yes—
1234C2×C42C22×D7314yes—
1235C2×C42C22×D7311yescharacteristic
1236C24—738no—
1237C24—734no—
1238C24—731no—
1239#41—48no—
1240#41—44no—
1241#41—44no—
1242#41—48no—
1243#41—2924no—
1244#41—2924no—
1245#41—2928no—
1246#41—2928no—
1247#41—2928no—
1248#41—2928no—
1249#41—29216no—
1250#41—2928no—
1251#41—2928no—
1252#41—2928no—
1253#41—2924no—
1254#41—2924no—
1255#41—14616no—
1256C2×Q8—2928no—
1257C2×Q8—2924no—
1258C2×Q8—734no—
1259C2×Q8—732no—
1260C2×Q8—734no—
1261C2×Q8—734no—
1262C2×Q8—732no—
1263C2×Q8—734no—
1264C2×Q8C23×D7312yes—
1265C2×Q8C23×D7314yes—
1266C2×Q8C23×D7312yes—
1267C2×D4—2928no—
1268C2×D4—29216no—
1269C2×D4—2928no—
1270C2×D4—2928no—
1271C2×D4—2924no—
1272C2×D4—2928no—
1273C2×D4—2928no—
1274C2×D4—734no—
1275C2×D4—738no—
1276C2×D4—738no—
1277C2×D4—734no—
1278C2×D4—734no—
1279C2×D4—738no—
1280C2×D4—734no—
1281C2×D4—734no—
1282C2×D4—738no—
1283C2×D4—734no—
1284C2×D4—734no—
1285C2×D4—734no—
1286C2×D4—738no—
1287C2×D4—734no—
1288C2×D4—732no—
1289C2×D4—734no—
1290C2×D4—734no—
1291C2×D4—734no—
1292C2×D4—732no—
1293C2×D4—734no—
1294C2×D4C23×D7312yes—
1295C2×D4C23×D7314yes—
1296C2×D4C23×D7314yes—
1297C2×D4C23×D7318yes—
1298C2×D4C23×D7314yes—
1299C2×D4C23×D7318yes—
1300C2×D4C23×D7314yes—
1301C2×D4C23×D7312yes—
1302C22×C4—2924no—
1303C22×C4—29216no—
1304C22×C4—732no—
1305C22×C4—738no—
1306C22×C4—738no—
1307C22×C4—732no—
1308C22×C4—732no—
1309C22×C4—734no—
1310C22×C4—738no—
1311C22×C4—738no—
1312C22×C4—731no—
1313C22×C4—731no—
1314C22×C4—734no—
1315C22×C4—732no—
1316C22×C4—732no—
1317C22×C4—731no—
1318C22×C4—731no—
1319C22×C4—734no—
1320C22×C4—734no—
1321C22×C4—734no—
1322C22×C4—731no—
1323C22×C4—734no—
1324C22×C4—734no—
1325C22×C4—14616no—
1326C22×C4—1464no—
1327C22×C4C23×D7312yes—
1328C22×C4C23×D7314yes—
1329C22×C4C23×D7314yes—
1330C22×C4C23×D7311yescharacteristic
1331C22×C4C23×D7314yes—
1332C22×C4C23×D7314yes—
1333C22×C4C23×D7318yes—
1334C4⋊C4—734no—
1335C4⋊C4—734no—
1336C4⋊C4—738no—
1337C4⋊C4—738no—
1338C4⋊C4—738no—
1339C4⋊C4—738no—
1340C4⋊C4—734no—
1341C4⋊C4—734no—
1342C4⋊C4—734no—
1343C4⋊C4—734no—
1344C4⋊C4—738no—
1345C4⋊C4—734no—
1346C4⋊C4—734no—
1347C4⋊C4—734no—
1348C4⋊C4—734no—
1349C4⋊C4—734no—
1350C4⋊C4—732no—
1351C4⋊C4—738no—
1352C4⋊C4—732no—
1353C4⋊C4—734no—
1354C4⋊C4—734no—
1355C4⋊C4—734no—
1356C4⋊C4—734no—
1357C4⋊C4C23×D7312yes—
1358C4⋊C4C23×D7314yes—
1359C4⋊C4C23×D7312yes—
1360C4⋊C4C23×D7314yes—
1361C4⋊C4C23×D7314yes—
1362C4⋊C4C23×D7318yes—
1363C22⋊C4—738no—
1364C22⋊C4—738no—
1365C22⋊C4—734no—
1366C22⋊C4—734no—
1367C22⋊C4—734no—
1368C22⋊C4—734no—
1369C22⋊C4—738no—
1370C22⋊C4—734no—
1371C22⋊C4—738no—
1372C22⋊C4—734no—
1373C22⋊C4—734no—
1374C22⋊C4—734no—
1375C22⋊C4—738no—
1376C22⋊C4—738no—
1377C22⋊C4—738no—
1378C22⋊C4—738no—
1379C22⋊C4—738no—
1380C22⋊C4—738no—
1381C22⋊C4—734no—
1382C22⋊C4—734no—
1383C22⋊C4—738no—
1384C22⋊C4—734no—
1385C22⋊C4—734no—
1386C22⋊C4—734no—
1387C22⋊C4—734no—
1388C22⋊C4—734no—
1389C22⋊C4C23×D7314yes—
1390C22⋊C4C23×D7318yes—
1391C22⋊C4C23×D7314yes—
1392C22⋊C4C23×D7318yes—
1393C22⋊C4C23×D7314yes—
1394C22⋊C4C23×D7318yes—
1395C42—732no—
1396C42—732no—
1397C42—732no—
1398C42—732no—
1399C42—731no—
1400C42—731no—
1401C42—734no—
1402C42—734no—
1403C42—734no—
1404C42—734no—
1405C42—732no—
1406C42—734no—
1407C42C23×D7311yescharacteristic
1408C42C23×D7311yescharacteristic
1409C42C23×D7314yes—
1410C42C23×D7314yes—
1411C42C23×D7314yes—
1412C42C23×D7314yes—
1413C42C23×D7312yes—
1414C42C23×D7314yes—
1415C23—2922no—
1416C23—2928no—
1417C23—2928no—
1418C23—2928no—
1419C23—2928no—
1420C23—731no—
1421C23—734no—
1422C23—734no—
1423C23—731no—
1424C23—1462no—
1425C23—1468no—
1426C23C24×D7314yes—
1427C23C24×D7311yescharacteristic
1428C23C24×D7314yes—
1429Q8—24no—
1430Q8—44no—
1431Q8—42no—
1432Q8—2922no—
1433Q8—2924no—
1434Q8—2924no—
1435Q8—2924no—
1436Q8—1468no—
1437Q8—1464no—
1438D4—24no—
1439D4—28no—
1440D4—48no—
1441D4—44no—
1442D4—44no—
1443D4—42no—
1444D4—44no—
1445D4—48no—
1446D4—2922no—
1447D4—2924no—
1448D4—2924no—
1449D4—2928no—
1450D4—2924no—
1451D4—2924no—
1452D4—2924no—
1453D4—2928no—
1454D4—2924no—
1455D4—2928no—
1456D4—2928no—
1457D4—2924no—
1458D4—2928no—
1459D4—2924no—
1460D4—2924no—
1461D4—1468no—
1462D4—1468no—
1463D4—1468no—
1464D4—1468no—
1465D4—1464no—
1466C2×C4—28no—
1467C2×C4—28no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—28no—
1471C2×C4—44no—
1472C2×C4—48no—
1473C2×C4—2928no—
1474C2×C4—2928no—
1475C2×C4—2922no—
1476C2×C4—2922no—
1477C2×C4—2924no—
1478C2×C4—2928no—
1479C2×C4—2922no—
1480C2×C4—2928no—
1481C2×C4—731no—
1482C2×C4—734no—
1483C2×C4—732no—
1484C2×C4—734no—
1485C2×C4—734no—
1486C2×C4—732no—
1487C2×C4—731no—
1488C2×C4—734no—
1489C2×C4—734no—
1490C2×C4—1468no—
1491C2×C4—1462no—
1492C2×C4—1462no—
1493C2×C4—1468no—
1494C2×C4—1468no—
1495C2×C4—1462no—
1496C2×C4—1468no—
1497C2×C4—1468no—
1498C2×C4—1462no—
1499C2×C4—1464no—
1500C2×C4—1464no—
1501C2×C4—1468no—
1502C2×C4C24×D7312yes—
1503C2×C4C24×D7311yescharacteristic
1504C2×C4C24×D7314yes—
1505C2×C4C24×D7314yes—
1506C2×C4C24×D7314yes—
1507C2×C4C24×D7314yes—
1508C2×C4C24×D7312yes—
1509C2×C4C24×D7311yescharacteristic
1510C22—24no—
1511C22—21no—
1512C22—24no—
1513C22—22no—
1514C22—24no—
1515C22—28no—
1516C22—24no—
1517C22—2924no—
1518C22—58416no—
1519C22—5848no—
1520C22—732no—
1521C22—1464no—
1522C22—1464no—
1523C22—1461no—
1524C22—1462no—
1525C22—1464no—
1526C22—1464no—
1527C22—1468no—
1528C22—1462no—
1529C22C25×D7311yescharacteristic
1530C4—24no—
1531C4—24no—
1532C4—21no—
1533C4—22no—
1534C4—24no—
1535C4—24no—
1536C4—732no—
1537C4—1464no—
1538C4—1464no—
1539C4—1461no—
1540C4—1464no—
1541C4—1462no—
1542C4—1464no—
1543C4—1462no—
1544C4H(5,𝔽2)×D7312yes—
1545C4#1798942314yes—
1546C2—41no—
1547C2—44no—
1548C2—44no—
1549C2—2921no—
1550C2—2924no—
1551C2—2924no—
1552C2—1462no—
1553C2C2×H(5,𝔽2)×D7311yescharacteristic
1554C2C2×#1798942312yes—
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3483C2
hypercenter#3483D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3483

Complements

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

NH ≅ G/Ntype
1. #22624346C2semidirect
2. #22624337C2semidirect
3. #22624332C2semidirect
4. #22624324C2semidirect
5. #22624307C2semidirect
6. #22624290C2semidirect
7. #22624277C2semidirect
8. #22624276C2semidirect
9. #22624266C2semidirect
10. #22624255C2semidirect
11. #22624254C2semidirect
12. #22624237C2semidirect
13. #22624067C2semidirect
14. #22623555C2semidirect
15. #22623541C2semidirect
16. #22623493C2semidirect
17. #22623417C2semidirect
18. #22623347C2semidirect
19. #22623345C2semidirect
20. #22623258C2semidirect
21. #22623224C2semidirect
22. #532×D73C2semidirect
23. C73×#3483C2semidirect
24. C2×#41×D73C22semidirect
25. C2×#41×D73C22semidirect
26. #17989337C22semidirect
27. #17989336C22semidirect
28. #17989336C22semidirect
29. #17989332C22semidirect
30. #17989332C22semidirect
31. #17989331C22semidirect
32. #17989329C22semidirect
33. #17989325C22semidirect
34. #17989325C22semidirect
35. #17989324C22semidirect
36. #17989322C22semidirect
37. #17989317C22semidirect
38. #17989309C22semidirect
39. #17989303C22semidirect
40. #17989301C22semidirect
41. #17989300C22semidirect
42. #17989299C22semidirect
43. #17989297C22semidirect
44. #17989296C22semidirect
45. #17989294C22semidirect
46. #17989286C22semidirect
47. #17989283C22semidirect
48. #17989281C22semidirect
49. #17989278C22semidirect
50. #17989276C22semidirect
51. #17989270C22semidirect
52. #17989266C22semidirect
53. #17989261C22semidirect
54. #17989261C22semidirect
55. #17989257C22semidirect
56. #17989257C22semidirect
57. #17989255C22semidirect
58. #17989252C22semidirect
59. #17989245C22semidirect
60. #17989240C22semidirect
61. #17989237C22semidirect
62. #17989237C22semidirect
63. #17989236C22semidirect
64. #17989233C22semidirect
65. #17989232C22semidirect
66. #17989230C22semidirect
67. #17989226C22semidirect
68. #17989226C22semidirect
69. #17989225C22semidirect
70. #17989225C22semidirect
71. D4×D292C22semidirect
72. #17989222C22semidirect
73. #17989221C22semidirect
74. #17989221C22semidirect
75. #17989215C22semidirect
76. #17989214C22semidirect
77. #17989211C22semidirect
78. #17989209C22semidirect
79. #17989209C22semidirect
80. #17989208C22semidirect
81. #17989204C22semidirect
82. #17989201C22semidirect
83. #17989192C22semidirect
84. #17989191C22semidirect
85. #17989190C22semidirect
86. #17989188C22semidirect
87. #17989188C22semidirect
88. #17989187C22semidirect
89. #17989171C22semidirect
90. #17989170C22semidirect
91. #17989170C22semidirect
92. #17989169C22semidirect
93. #17989166C22semidirect
94. #17989165C22semidirect
95. #17989164C22semidirect
96. #17989164C22semidirect
97. #17989162C22semidirect
98. #17989162C22semidirect
99. #17989157C22semidirect
100. #17989157C22semidirect
101. #17989156C22semidirect
102. #17989155C22semidirect
103. #17989155C22semidirect
104. #17989153C22semidirect
105. #17989151C22semidirect
106. #17989150C22semidirect
107. #17989150C22semidirect
108. #17989150C22semidirect
109. #17989145C22semidirect
110. #17989145C22semidirect
111. #17989141C22semidirect
112. #17989141C22semidirect
113. #17989140C22semidirect
116. #17989137C22semidirect
117. #17989136C22semidirect
118. #17989135C22semidirect
120. #17989134C22semidirect
121. #17989134C22semidirect
122. #17989134C22semidirect
123. #17989133C22semidirect
124. #17989133C22semidirect
125. #17989133C22semidirect
126. #17989133C22semidirect
127. #17989132C22semidirect
128. C4⋊Q8×D73C22semidirect
130. #17989124C22semidirect
131. #17989124C22semidirect
132. #17989124C22semidirect
133. #17989121C22semidirect
134. #17989121C22semidirect
135. #17989119C22semidirect
136. #17989119C22semidirect
137. #17989117C22semidirect
138. #17989117C22semidirect
139. #17989117C22semidirect
140. #17989115C22semidirect
141. #17989115C22semidirect
142. #124×D73C22semidirect
143. #17989099C22semidirect
144. #17989096C22semidirect
145. #17989096C22semidirect
146. #17989096C22semidirect
147. #17989096C22semidirect
148. #17989096C22semidirect
149. #17989096C22semidirect
150. #17989094C22semidirect
151. #17989094C22semidirect
152. #121×D73C22semidirect
153. C4×#11924028C22semidirect
154. C4×#11924028C22semidirect
155. C4×#11924028C22semidirect
156. C4×#11924027C22semidirect
157. C2×C4×D292C22semidirect
158. C4×D4×D73C22semidirect
159. C4×D4×D73C22semidirect
160. C2×#14556548C22semidirect
161. C2×C42×D73C22semidirect
162. Q82×C73C22semidirect
163. #555×C73C22semidirect
164. #555×C73C22semidirect
165. #555×C73C22semidirect
166. #550×C73C22semidirect
167. #550×C73C22semidirect
168. #532×C73C22semidirect
169. #532×C73C22semidirect
170. #532×C73C22semidirect
171. C4×#41×C73C22semidirect
172. C4×#41×C73C22semidirect
792. #3483D73semidirect
801. C73#62759semidirect
816. Q82C2×D73semidirect
822. #555C2×D73semidirect
823. #555C2×D73semidirect
824. #555C2×D73semidirect
840. #550C2×D73semidirect
841. #550C2×D73semidirect
912. #532C2×D73semidirect
913. #532C2×D73semidirect
914. #532C2×D73semidirect
944. C4×#41C2×D73semidirect
945. C4×#41C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243462
#226243372
#226243322
#226243242
#226243072
#226242902
#226242772
#226242762
#226242662
#226242552
#226242542
#226242372
#226240672
#226235552
#226235412
#226234932
#226234172
#226233472
#226233452
#226232582
#226232242
#532×D732
C73×#34832
#6275973