Finite Group Databasebeta

← #33993809

Subgroups — #33993809

Order 18688.

7270 conjugacy classes of subgroups.

The subgroup lattice has 2220 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624354C212yesmaximal, complemented
2#22624346C212yesmaximal, complemented
3#22624341C211yesmaximal, characteristic, complemented
4#22624335C211yesmaximal, characteristic, complemented
5#22624327C212yesmaximal, complemented
6#22624313C214yesmaximal, complemented
7#22624296C214yesmaximal, complemented
8#22624288C211yesmaximal, characteristic, complemented
9#22624283C212yesmaximal, complemented
10#22624269C212yesmaximal, complemented
11#22624258C212yesmaximal, complemented
12#22624240C214yesmaximal, complemented
13#22624232C214yesmaximal, complemented
14#22624072C211yesmaximal, characteristic, complemented
15#22624071C211yesmaximal, characteristic, complemented
16#22624068C212yesmaximal, complemented
17#22623556C212yesmaximal, complemented
18#22623534C212yesmaximal, complemented
19#22623486C214yesmaximal, complemented
20#22623415C214yesmaximal, complemented
21#22623351C214yesmaximal, complemented
22#22623350C214yesmaximal, complemented
23#22623263C212yesmaximal, complemented
24#22623257C212yesmaximal, complemented
25#22623225C212yesmaximal, complemented
26C2×#17989136C211yesmaximal, characteristic, complemented
27C73×#3545C211yesmaximal, characteristic, complemented
28C22×#11924029C2211yescharacteristic, complemented
29C22×#11924027C2211yescharacteristic, complemented
30C22×#11924027C2212yescomplemented
31C2×#41×D73C2212yescomplemented
32#17989341C2212yescomplemented
33#17989338C2214yescomplemented
34#17989337C2212yescomplemented
35#17989337C2211yescharacteristic, complemented
36#17989336C2212yescomplemented
37#17989335C2212yescomplemented
38#17989334C2214yescomplemented
39#17989333C2214yescomplemented
40#17989333C2214yescomplemented
41#17989331C2212yescomplemented
42#17989331C2212yescomplemented
43#17989331C2214yescomplemented
44#17989329C2212yescomplemented
45#17989329C2211yescharacteristic, complemented
46#17989328C2214yescomplemented
47#17989327C2212yescomplemented
48#17989327C2214yescomplemented
49#17989326C2212yescomplemented
50#17989326C2214yescomplemented
51#17989325C2214yescomplemented
52#17989325C2214yescomplemented
53#17989321C2212yescomplemented
54#17989317C2212yescomplemented
55#17989304C2214yescomplemented
56#17989300C2214yescomplemented
57#17989300C2214yescomplemented
58#17989299C2212yescomplemented
59#17989299C2212yescomplemented
60#17989299C2214yescomplemented
61#17989299C2214yescomplemented
62#17989291C2214yescomplemented
63#17989291C2214yescomplemented
64#17989288C2214yescomplemented
65#17989286C2214yescomplemented
66#17989286C2214yescomplemented
67#17989282C2214yescomplemented
68#17989274C2214yescomplemented
69#17989273C2214yescomplemented
70#17989270C2214yescomplemented
71#17989270C2214yescomplemented
72#17989267C2212yescomplemented
73#17989266C2214yescomplemented
74#17989264C2214yescomplemented
75#17989263C2214yescomplemented
76#17989261C2214yescomplemented
77#17989258C2214yescomplemented
78#17989255C2214yescomplemented
79#17989255C2214yescomplemented
80#17989255C2214yescomplemented
81#17989250C2214yescomplemented
82#17989246C2214yescomplemented
83#17989245C2214yescomplemented
84#17989236C2214yescomplemented
85#17989235C2214yescomplemented
86#17989235C2214yescomplemented
87#17989235C2214yescomplemented
88#17989232C2214yescomplemented
89#17989229C2214yescomplemented
90#17989227C2214yescomplemented
91#17989227C2214yescomplemented
92#17989227C2214yescomplemented
93#17989227C2214yescomplemented
94#17989226C2214yescomplemented
95#17989226C2214yescomplemented
96#17989224C2214yescomplemented
97D4×C22⋊D73C2214yescomplemented
98#17989219C2212yescomplemented
99#17989219C2214yescomplemented
100#17989219C2214yescomplemented
101#17989216C2214yescomplemented
102#17989214C2214yescomplemented
103#17989209C2214yescomplemented
104#17989207C2214yescomplemented
105#17989207C2214yescomplemented
106#17989203C2214yescomplemented
107#17989203C2214yescomplemented
108#17989201C2214yescomplemented
109#17989201C2214yescomplemented
110#17989192C2214yescomplemented
111#17989189C2214yescomplemented
112#17989189C2214yescomplemented
113#17989189C2214yescomplemented
114#17989189C2214yescomplemented
115#17989188C2214yescomplemented
116#17989187C2214yescomplemented
117#17989187C2214yescomplemented
118#17989176C2214yescomplemented
119#17989176C2214yescomplemented
120#17989175C2214yescomplemented
121#17989171C2214yescomplemented
122#17989171C2214yescomplemented
123#17989170C2214yescomplemented
124#17989170C2214yescomplemented
125#17989167C2214yescomplemented
126#17989167C2214yescomplemented
127#17989167C2214yescomplemented
128#17989164C2214yescomplemented
129#17989164C2214yescomplemented
130#17989164C2214yescomplemented
131#17989162C2212yescomplemented
132#17989162C2212yescomplemented
133#17989161C2212yescomplemented
134#17989159C2214yescomplemented
135#17989159C2212yescomplemented
136#17989159C2212yescomplemented
137#17989156C2212yescomplemented
138#17989155C2212yescomplemented
139#17989155C2212yescomplemented
140#17989155C2214yescomplemented
141#17989153C2214yescomplemented
142#17989152C2214yescomplemented
143#17989152C2212yescomplemented
144#17989152C2212yescomplemented
145#17989152C2214yescomplemented
146#17989152C2214yescomplemented
147#17989151C2212yescomplemented
148#17989149C2212yescomplemented
149#17989148C2214yescomplemented
150#17989148C2214yescomplemented
151#17989146C2212yescomplemented
152#17989146C2212yescomplemented
153#17989143C2212yescomplemented
154#17989141C2212yescomplemented
155#17989139C2212yescomplemented
156#17989138C2212yescomplemented
157#17989138C2212yescomplemented
158#17989136C2211yescharacteristic
159#17989136C2211yescharacteristic
160#17989136C2212yescomplemented
161#17989136C2212yescomplemented
162#17989136C2214yescomplemented
163#17989136C2211yescharacteristic, complemented
164#17989136C2214yescomplemented
165#17989136C2211yescharacteristic, complemented
166#17989136C2211yescharacteristic, complemented
167#17989136C2211yescharacteristic, complemented
168#17989136C2212yescomplemented
169#17989136C2211yescharacteristic, complemented
170#17989136C2211yescharacteristic, complemented
171#17989136C2214yescomplemented
172#17989134C2212yescomplemented
173#17989132C2212yes—
174#17989132C2214yescomplemented
175#17989132C2214yescomplemented
176#17989132C2214yescomplemented
177C2×#14556589C2211yescharacteristic, complemented
178C2×#14556587C2211yescharacteristic
179#17989123C2214yescomplemented
180#17989122C2212yescomplemented
181#17989121C2212yescomplemented
182#17989120C2214yescomplemented
183#17989120C2214yescomplemented
184#17989120C2214yescomplemented
185#17989120C2214yescomplemented
186#17989116C2212yescomplemented
187#17989116C2214yescomplemented
188#17989115C2214yescomplemented
189#17989114C2214yescomplemented
190#17989114C2214yescomplemented
191#17989114C2214yescomplemented
192C2×#14556579C2211yescharacteristic, complemented
193#17989100C2214yescomplemented
194#17989100C2214yescomplemented
195#17989100C2214yescomplemented
196#17989100C2212yescomplemented
197#17989097C2214yescomplemented
198#17989097C2212yescomplemented
199#17989096C2214yescomplemented
200#17989095C2214yescomplemented
201#17989095C2212yescomplemented
202#17989095C2212yescomplemented
203#17989095C2214yescomplemented
204#17989095C2214yescomplemented
205#17989093C2212yescomplemented
206#17989093C2212yescomplemented
207#17989093C2214yescomplemented
208#17989093C2214yescomplemented
209C2×#14556564C2214yescomplemented
210C4×#11924029C2212yescomplemented
211#17989055C2214yescomplemented
212#17989055C2214yescomplemented
213C4×#11924027C2214yescomplemented
214C4×#11924027C2212yescomplemented
215C4×#11924027C2214yescomplemented
216C2×#14556551C2214yescomplemented
217C2×#14556551C2214yescomplemented
218C4×D4×D73C2214yescomplemented
219C2×#14556547C2212yescomplemented
220#117×D73C2212yescomplemented
221C2×C42×D73C2211yescharacteristic, complemented
222#563×C73C2211yescharacteristic, complemented
223#562×C73C2212yescomplemented
224H(3,𝔽4)×C73C2211yescharacteristic, complemented
225#555×C73C2212yescomplemented
226#551×C73C2212yescomplemented
227#551×C73C2214yescomplemented
228#546×C73C2214yescomplemented
229#542×C73C2214yescomplemented
230#538×C73C2214yescomplemented
231#536×C73C2212yescomplemented
232#534×C73C2212yescomplemented
233#529×C73C2212yescomplemented
234C2×#124×C73C2211yescharacteristic, complemented
235C2×#11924029—44no—
236C2×#11924029C2311yescharacteristic
237C2×#11924029C2311yescharacteristic
238C2×#11924029C2311yescharacteristic
239C2×#11924029C2312yes—
240C2×#11924029C2312yes—
241C2×#11924029C2312yes—
242C2×#11924029C2311yescharacteristic
243C2×#11924029C2312yes—
244C2×#11924028C2314yes—
245C2×#11924028C2314yes—
246C2×#11924028C2312yes—
247C2×#11924028C2314yes—
248C2×#11924027—44no—
249C2×#11924027—48no—
250C2×#11924027C2314yes—
251C2×#11924027C2311yescharacteristic
252C2×#11924027C2314yes—
253C2×#11924027C2312yes—
254C2×#11924027C2312yes—
255C2×#11924027C2311yescharacteristic
256C2×#11924027C2311yescharacteristic
257C2×#11924027C2312yes—
258C2×#11924027C2311yescharacteristic
259C2×#11924027C2312yes—
260C2×#11924027C2314yes—
261C2×#11924027C2314yes—
262C2×#11924027C2314yes—
263#41×D73—48no—
264C22×Dic146C2311yescharacteristic
265C22×Dic146C2312yes—
266C2×Q8×D73C2312yes—
267C22×D292C2311yescharacteristic
268C22×D292C2312yes—
269C22×C22⋊D73C2314yes—
270C22×C22⋊D73C2312yes—
271C22×C22⋊D73C2312yes—
272C22×C22⋊D73C2312yes—
273C22×C22⋊D73C2314yes—
274C2×D4×D73C2314yes—
275C2×D4×D73C2314yes—
276C2×D4×D73C2312yes—
277C23×Dic73C2312yes—
278C23×Dic73C2312yes—
279C22×C4×D73C2312yes—
280C22×C4×D73C2311yescharacteristic
281C22×C4×D73C2314yes—
282C22×C4×D73C2312yes—
283C22×C4×D73C2312yes—
284#14556590C2312yes—
285#14556590C2314yes—
286#14556590C2314yes—
287#14556590C2314yes—
288#14556590C2312yes—
289#14556589C2311yescharacteristic
290#14556589C2311yescharacteristic
291#14556589C2314yes—
292#14556589C2311yescharacteristic
293#14556589C2311yescharacteristic
294#14556589C2312yes—
295#14556589C2312yes—
296#14556589C2312yes—
297#14556589C2314yes—
298#14556588C2312yes—
299#14556588C2312yes—
300#14556587C2311yescharacteristic
301#14556587C2314yes—
302#14556587C2311yescharacteristic
303#14556587C2311yescharacteristic
304#14556587C2311yescharacteristic
305#14556587C2312yes—
306#14556587C2314yes—
307#14556587C2314yes—
308#14556587C2314yes—
309#14556587C2312yes—
310#14556587C2312yes—
311#14556587C2314yes—
312#14556586C2314yes—
313#14556586C2314yes—
314#14556586C2314yes—
315#14556586C2314yes—
316#14556586C2314yes—
317#14556585C2314yes—
318#14556585C2314yes—
319#14556585C2314yes—
320#14556584C2314yes—
321#14556584C2314yes—
322#14556584C2314yes—
323#14556584C2314yes—
324#14556584C2314yes—
325#14556583C2312yes—
326#14556583C2314yes—
327#14556582C2314yes—
328#14556581C2314yes—
329#14556581C2314yes—
330#14556581C2314yes—
331#14556581C2314yes—
332#14556581C2314yes—
333#14556581C2314yes—
334#14556580C2314yes—
335#14556580C2312yes—
336#14556580C2312yes—
337#14556580C2312yes—
338#14556580C2312yes—
339#14556579C2312yes—
340#14556579C2311yescharacteristic
341#14556579C2311yescharacteristic
342#14556579C2314yes—
343#14556579C2311yescharacteristic
344#14556579C2311yescharacteristic
345#14556579C2312yes—
346#14556579C2312yes—
347#14556579C2314yes—
348#14556577C2314yes—
349#14556577C2314yes—
350#14556577C2314yes—
351#14556577C2314yes—
352#14556577C2314yes—
353#14556577C2314yes—
354#14556577C2314yes—
355#14556577C2314yes—
356#14556577C2314yes—
357#14556577C2314yes—
358#14556577C2314yes—
359#14556577C2314yes—
360#14556576C2314yes—
361#14556576C2314yes—
362#14556576C2314yes—
363#14556576C2314yes—
364#14556576C2314yes—
365#14556576C2314yes—
366#14556576C2314yes—
367#14556576C2314yes—
368#14556576C2314yes—
369#14556576C2314yes—
370#14556575C2314yes—
371#14556575C2314yes—
372#14556575C2312yes—
373#14556575C2314yes—
374#14556575C2312yes—
375#14556575C2314yes—
376#14556574C2314yes—
377#14556574C2312yes—
378#14556574C2312yes—
379#14556574C2314yes—
380#14556574C2314yes—
381#14556574C2314yes—
382#14556574C2314yes—
383#14556573C2314yes—
384#14556573C2314yes—
385#14556573C2314yes—
386#14556573C2314yes—
387#14556573C2314yes—
388#14556573C2314yes—
389#14556573C2314yes—
390#14556573C2314yes—
391#14556572C2312yes—
392#14556572C2314yes—
393#14556572C2312yes—
394#14556572C2314yes—
395#14556571C2312yes—
396#14556571C2314yes—
397#14556570C2312yes—
398#14556570C2314yes—
399#14556569C2314yes—
400#14556569C2314yes—
401#14556569C2314yes—
402#14556569C2314yes—
403#14556569C2314yes—
404#14556569C2314yes—
405#14556569C2314yes—
406#14556569C2314yes—
407#14556569C2314yes—
408#14556569C2314yes—
409#14556569C2314yes—
410#14556568C2314yes—
411#14556568C2314yes—
412#14556568C2314yes—
413#14556568C2314yes—
414#14556568C2314yes—
415#14556568C2314yes—
416#14556568C2314yes—
417#14556568C2314yes—
418#14556568C2314yes—
419#14556567C2312yes—
420#14556567C2314yes—
421#14556567C2314yes—
422#14556567C2314yes—
423#14556567C2314yes—
424#14556566C2312yes—
425#14556566C2314yes—
426#14556566C2314yes—
427#14556566C2314yes—
428#14556566C2314yes—
429#14556566C2314yes—
430#14556566C2314yes—
431#14556566C2314yes—
432#14556565C2312yes—
433#14556565C2314yes—
434#14556565C2314yes—
435#14556565C2314yes—
436#14556565C2314yes—
437#14556565C2314yes—
438#14556565C2314yes—
439#14556565C2314yes—
440#14556564C2314yes—
441#14556564C2314yes—
442#14556564C2314yes—
443#14556564C2314yes—
444#14556564C2314yes—
445#14556564C2314yes—
446#14556564C2314yes—
447#14556564C2314yes—
448#14556564C2314yes—
449#14556564C2314yes—
450#14556564C2314yes—
451#14556564C2314yes—
452#14556564C2314yes—
453#14556564C2314yes—
454#14556564C2314yes—
455#14556564C2314yes—
456#14556564C2314yes—
457#14556564C2314yes—
458#14556564C2314yes—
459#14556564C2314yes—
460#14556564C2314yes—
461#14556564C2314yes—
462#14556564C2314yes—
463#14556564C2314yes—
464#14556564C2314yes—
465#14556564C2314yes—
466#14556564C2314yes—
467#14556563C2314yes—
468#14556563C2314yes—
469#14556563C2314yes—
470#14556563C2314yes—
471#14556563C2314yes—
472#14556563C2314yes—
473#14556563C2314yes—
474#14556563C2314yes—
475#14556563C2314yes—
476#14556563C2314yes—
477#14556563C2314yes—
478#14556563C2314yes—
479#14556563C2314yes—
480#14556563C2314yes—
481#14556563C2314yes—
482#14556562C2312yes—
483#14556562C2314yes—
484#14556562C2314yes—
485#14556561C2314yes—
486#14556561C2314yes—
487#14556561C2314yes—
488#14556561C2314yes—
489#14556561C2314yes—
490#14556561C2314yes—
491#14556561C2312yes—
492#14556561C2312yes—
493#14556561C2314yes—
494#14556561C2314yes—
495#14556561C2314yes—
496#14556560C2312yes—
497#14556560C2314yes—
498#14556560C2312yes—
499#14556560C2314yes—
500#14556559C2314yes—
501#14556559C2312yes—
502#14556559C2312yes—
503#14556559C2314yes—
504#14556559C2314yes—
505#14556559C2314yes—
506#14556559C2314yes—
507Q8×Dic73C2312yes—
508C4×Dic146C2312yes—
509C4×Dic146C2314yes—
510C4×Dic146C2314yes—
511#14556556C2312yes—
512#14556556C2314yes—
513#14556556C2314yes—
514#14556556C2314yes—
515#14556556C2314yes—
516C4×D292C2312yes—
517C4×D292C2314yes—
518C4×D292C2314yes—
519D4×Dic73C2312yes—
520D4×Dic73C2314yes—
521D4×Dic73C2314yes—
522D4×Dic73C2314yes—
523#14556553C2314yes—
524#14556553C2314yes—
525#14556553C2314yes—
526#14556553C2314yes—
527#14556553C2312yes—
528#14556553C2314yes—
529#14556553C2314yes—
530C4×C22⋊D73C2314yes—
531C4×C22⋊D73C2314yes—
532C4×C22⋊D73C2314yes—
533C4×C22⋊D73C2314yes—
534C4×C22⋊D73C2314yes—
535C4×C22⋊D73C2314yes—
536C4×C22⋊D73C2314yes—
537#14556551C2314yes—
538#14556551C2314yes—
539#14556551C2314yes—
540#14556551C2314yes—
541#14556551C2314yes—
542#14556551C2314yes—
543#14556551C2314yes—
544#14556551C2314yes—
545#14556551C2314yes—
546#14556551C2314yes—
547#14556551C2314yes—
548#14556551C2314yes—
549#14556551C2314yes—
550#14556551C2314yes—
551#14556551C2314yes—
552#14556551C2314yes—
553#14556551C2314yes—
554#14556551C2314yes—
555#14556551C2314yes—
556#14556551C2314yes—
557#14556551C2314yes—
558#14556551C2314yes—
559#14556551C2314yes—
560#14556551C2314yes—
561#14556551C2314yes—
562#14556550C2312yes—
563#14556549C2314yes—
564#14556549C2314yes—
565#14556549C2314yes—
566#14556549C2312yes—
567#14556549C2312yes—
568#14556549C2314yes—
569#14556548C2314yes—
570#14556548C2314yes—
571#14556548C2312yes—
572#14556548C2312yes—
573#14556548C2314yes—
574#14556548C2314yes—
575#14556547C2312yes—
576#14556547C2312yes—
577#14556547C2314yes—
578#14556547C2314yes—
579#14556547C2314yes—
580#14556547C2314yes—
581#14556547C2312yes—
582#14556547C2312yes—
583#14556547C2314yes—
584#14556547C2314yes—
585C2×#11924007C2314yes—
586C2×#11924007C2314yes—
587C2×#11924007C2314yes—
588C4⋊C4×D73C2314yes—
589C4⋊C4×D73C2314yes—
590C2×C22⋊Dic73C2312yes—
591C2×#11924005C2314yes—
592C2×#11924005C2314yes—
593C22⋊C4×D73C2314yes—
594C22⋊C4×D73C2314yes—
595C22⋊C4×D73C2314yes—
596C2×C4×Dic73C2314yes—
597C2×C4×Dic73C2311yescharacteristic
598C2×C4×Dic73C2312yes—
599C2×C4×Dic73C2314yes—
600C42×D73C2312yes—
601C42×D73C2312yes—
602C42×D73C2312yes—
603C42×D73C2314yes—
604C42×D73C2311yescharacteristic
605C42×D73C2311yescharacteristic
606C42×D73C2311yescharacteristic
607C42×D73C2311yescharacteristic
608C42×D73C2312yes—
609C2×#41×C73C2312yes—
610C22×Q8×C73C2311yescharacteristic
611C22×D4×C73C2311yescharacteristic
612C22×D4×C73C2312yes—
613C4⋊Q8×C73C2312yes—
614C4⋊Q8×C73C2312yes—
615#126×C73C2314yes—
616#126×C73C2314yes—
617#126×C73C2314yes—
618#125×C73C2312yes—
619#124×C73C2311yescharacteristic
620#124×C73C2311yescharacteristic
621#124×C73C2314yes—
622#124×C73C2311yescharacteristic
623#124×C73C2311yescharacteristic
624#124×C73C2312yes—
625#124×C73C2312yes—
626#124×C73C2314yes—
627#124×C73C2312yes—
628#124×C73C2314yes—
629#123×C73C2314yes—
630#123×C73C2314yes—
631#123×C73C2312yes—
632#123×C73C2312yes—
633#123×C73C2314yes—
634#123×C73C2314yes—
635#123×C73C2314yes—
636C22⋊Q8×C73C2314yes—
637C22⋊Q8×C73C2312yes—
638C22⋊Q8×C73C2314yes—
639C22⋊Q8×C73C2314yes—
640C22⋊Q8×C73C2314yes—
641#121×C73C2312yes—
642#121×C73C2314yes—
643#121×C73C2314yes—
644#121×C73C2314yes—
645#121×C73C2314yes—
646#120×C73C2312yes—
647#120×C73C2314yes—
648#120×C73C2312yes—
649#120×C73C2314yes—
650C4×Q8×C73C2312yes—
651C4×D4×C73C2312yes—
652C4×D4×C73C2314yes—
653C4×D4×C73C2314yes—
654C4×D4×C73C2314yes—
655#117×C73C2312yes—
656#117×C73C2314yes—
657#117×C73C2314yes—
658C2×C22⋊C4×C73C2312yes—
659C2×C22⋊C4×C73C2314yes—
660C2×C22⋊C4×C73C2314yes—
661C2×C42×C73C2311yescharacteristic
662C23×D73C2412yes—
663C23×D73C2411yescharacteristic
664C23×D73C2412yes—
665C23×D73C2414yes—
666#11924029—44no—
667#11924029—42no—
668#11924029—44no—
669#11924029—42no—
670#11924029—44no—
671#11924029—42no—
672#11924029—42no—
673#11924029—44no—
674#11924028—48no—
675#11924028—48no—
676#11924028—48no—
677#11924028—44no—
678#11924027—216no—
679#11924027—48no—
680#11924027—48no—
681#11924027—44no—
682#11924027—42no—
683#11924027—44no—
684#11924027—42no—
685#11924027—44no—
686#11924027—42no—
687#11924027—42no—
688#11924027—48no—
689#11924027—44no—
690#11924027—48no—
691C2×Dic146—44no—
692C2×Dic146—42no—
693C2×Dic146C2414yes—
694C2×Dic146C2414yes—
695C2×Dic146C2412yes—
696C2×Dic146C2411yescharacteristic
697C2×Dic146C2412yes—
698C2×Dic146C2412yes—
699C2×Dic146C2414yes—
700C2×Dic146C2411yescharacteristic
701Q8×D73—44no—
702C2×D292—42no—
703C2×D292—44no—
704C2×D292C2414yes—
705C2×D292C2414yes—
706C2×D292C2412yes—
707C2×D292C2414yes—
708C2×D292C2414yes—
709C2×D292C2411yescharacteristic
710C2×D292C2412yes—
711C2×D292C2412yes—
712C2×D292C2412yes—
713C2×D292C2412yes—
714C2×D292C2414yes—
715C2×D292C2412yes—
716C2×D292C2412yes—
717C2×D292C2411yescharacteristic
718C2×C22⋊D73—48no—
719C2×C22⋊D73—48no—
720C2×C22⋊D73—44no—
721C2×C22⋊D73—44no—
722C2×C22⋊D73—44no—
723C2×C22⋊D73C2414yes—
724C2×C22⋊D73C2414yes—
725C2×C22⋊D73C2414yes—
726C2×C22⋊D73C2414yes—
727C2×C22⋊D73C2414yes—
728C2×C22⋊D73C2414yes—
729C2×C22⋊D73C2414yes—
730C2×C22⋊D73C2414yes—
731C2×C22⋊D73C2414yes—
732C2×C22⋊D73C2414yes—
733C2×C22⋊D73C2414yes—
734C2×C22⋊D73C2414yes—
735C2×C22⋊D73C2414yes—
736C2×C22⋊D73C2414yes—
737C2×C22⋊D73C2414yes—
738C2×C22⋊D73C2412yes—
739C2×C22⋊D73C2412yes—
740C2×C22⋊D73C2414yes—
741C2×C22⋊D73C2412yes—
742C2×C22⋊D73C2412yes—
743D4×D73—48no—
744D4×D73—44no—
745D4×D73—48no—
746C22×Dic73—28no—
747C22×Dic73—44no—
748C22×Dic73C2412yes—
749C22×Dic73C2412yes—
750C22×Dic73C2414yes—
751C22×Dic73C2414yes—
752C22×Dic73C2412yes—
753C22×Dic73C2412yes—
754C22×Dic73C2412yes—
755C22×Dic73C2412yes—
756C22×Dic73C2414yes—
757C22×Dic73C2414yes—
758C22×Dic73C2412yes—
759C22×Dic73C2411yescharacteristic
760C2×C4×D73—28no—
761C2×C4×D73—24no—
762C2×C4×D73—44no—
763C2×C4×D73—48no—
764C2×C4×D73—44no—
765C2×C4×D73C2412yes—
766C2×C4×D73C2412yes—
767C2×C4×D73C2412yes—
768C2×C4×D73C2411yescharacteristic
769C2×C4×D73C2411yescharacteristic
770C2×C4×D73C2411yescharacteristic
771C2×C4×D73C2411yescharacteristic
772C2×C4×D73C2414yes—
773C2×C4×D73C2414yes—
774C2×C4×D73C2412yes—
775C2×C4×D73C2412yes—
776C2×C4×D73C2412yes—
777C2×C4×D73C2412yes—
778C2×C4×D73C2412yes—
779C2×C4×D73C2414yes—
780C2×C4×D73C2414yes—
781C2×C4×D73C2414yes—
782C2×C4×D73C2414yes—
783C2×C4×D73C2414yes—
784C2×C4×D73C2414yes—
785C4⋊Dic73C2414yes—
786C4⋊Dic73C2414yes—
787C4⋊Dic73C2414yes—
788C4⋊Dic73C2414yes—
789C4⋊Dic73C2412yes—
790C4⋊Dic73C2414yes—
791C4⋊Dic73C2412yes—
792#11924007C2414yes—
793#11924007C2414yes—
794#11924007C2414yes—
795#11924007C2414yes—
796#11924007C2414yes—
797#11924007C2414yes—
798#11924007C2414yes—
799#11924007C2414yes—
800#11924007C2414yes—
801#11924007C2414yes—
802#11924007C2414yes—
803#11924007C2414yes—
804#11924007C2414yes—
805#11924007C2414yes—
806#11924007C2414yes—
807#11924007C2414yes—
808#11924007C2414yes—
809#11924007C2414yes—
810#11924007C2414yes—
811#11924007C2414yes—
812C22⋊Dic73C2414yes—
813C22⋊Dic73C2414yes—
814C22⋊Dic73C2414yes—
815C22⋊Dic73C2412yes—
816C22⋊Dic73C2412yes—
817C22⋊Dic73C2414yes—
818C22⋊Dic73C2414yes—
819C22⋊Dic73C2414yes—
820C22⋊Dic73C2414yes—
821#11924005C2414yes—
822#11924005C2414yes—
823#11924005C2414yes—
824#11924005C2414yes—
825#11924005C2414yes—
826#11924005C2414yes—
827#11924005C2414yes—
828#11924005C2414yes—
829#11924005C2414yes—
830#11924005C2414yes—
831#11924005C2414yes—
832#11924005C2414yes—
833#11924005C2414yes—
834#11924005C2414yes—
835#11924005C2414yes—
836#11924005C2414yes—
837#11924005C2414yes—
838#11924005C2414yes—
839#11924005C2414yes—
840#11924005C2414yes—
841#11924005C2414yes—
842#11924005C2414yes—
843#11924005C2414yes—
844#11924005C2414yes—
845C4×Dic73C2412yes—
846C4×Dic73C2414yes—
847C4×Dic73C2412yes—
848C4×Dic73C2412yes—
849C4×Dic73C2412yes—
850C4×Dic73C2412yes—
851C4×Dic73C2411yescharacteristic
852C4×Dic73C2411yescharacteristic
853C4×Dic73C2414yes—
854C4×Dic73C2412yes—
855C4×Dic73C2412yes—
856C4×Dic73C2414yes—
857C4×Dic73C2414yes—
858C4×Dic73C2414yes—
859C4×Dic73C2414yes—
860C4×Dic73C2414yes—
861C24×C73C2412yes—
862C24×C73C2412yes—
863#41×C73—44no—
864C2×Q8×C73—42no—
865C2×Q8×C73C2412yes—
866C2×Q8×C73C2411yescharacteristic
867C2×Q8×C73C2412yes—
868C2×Q8×C73C2412yes—
869C2×Q8×C73C2411yescharacteristic
870C2×D4×C73—42no—
871C2×D4×C73—44no—
872C2×D4×C73C2414yes—
873C2×D4×C73C2414yes—
874C2×D4×C73C2414yes—
875C2×D4×C73C2412yes—
876C2×D4×C73C2412yes—
877C2×D4×C73C2411yescharacteristic
878C2×D4×C73C2412yes—
879C2×D4×C73C2414yes—
880C2×D4×C73C2411yescharacteristic
881C22×C4×C73C2411yescharacteristic
882C22×C4×C73C2412yes—
883C22×C4×C73C2412yes—
884C22×C4×C73C2414yes—
885C22×C4×C73C2414yes—
886C22×C4×C73C2414yes—
887C22×C4×C73C2412yes—
888C4⋊C4×C73C2414yes—
889C4⋊C4×C73C2414yes—
890C4⋊C4×C73C2414yes—
891C4⋊C4×C73C2414yes—
892C4⋊C4×C73C2414yes—
893C4⋊C4×C73C2414yes—
894C4⋊C4×C73C2412yes—
895C4⋊C4×C73C2412yes—
896C4⋊C4×C73C2414yes—
897C22⋊C4×C73C2414yes—
898C22⋊C4×C73C2414yes—
899C22⋊C4×C73C2414yes—
900C22⋊C4×C73C2414yes—
901C22⋊C4×C73C2414yes—
902C22⋊C4×C73C2414yes—
903C22⋊C4×C73C2412yes—
904C22⋊C4×C73C2412yes—
905C22⋊C4×C73C2414yes—
906C22⋊C4×C73C2414yes—
907C22⋊C4×C73C2414yes—
908C22⋊C4×C73C2414yes—
909C22⋊C4×C73C2414yes—
910C22⋊C4×C73C2414yes—
911C22⋊C4×C73C2414yes—
912C42×C73C2411yescharacteristic
913C42×C73C2412yes—
914C42×C73C2411yescharacteristic
915C42×C73C2412yes—
916C42×C73C2414yes—
917C42×C73C2412yes—
918C23×C73—24no—
919C23×C73—42no—
920C23×C73—44no—
921C23×C73—44no—
922C23×C73C2512yes—
923C23×C73C2514yes—
924C23×C73C2512yes—
925C23×C73C2511yescharacteristic
926C22×D73—22no—
927C22×D73—24no—
928C22×D73—42no—
929C22×D73—44no—
930C22×D73—42no—
931C22×D73—44no—
932C22×D73—44no—
933C22×D73—44no—
934C22×D73—44no—
935C22×D73C2512yes—
936C22×D73C2514yes—
937C22×D73C2512yes—
938C22×D73C2511yescharacteristic
939C22×D73C2511yescharacteristic
940Q8×C73—41no—
941Q8×C73—42no—
942Q8×C73—41no—
943Q8×C73—42no—
944Q8×C73—42no—
945D4×C73—28no—
946D4×C73—44no—
947D4×C73—41no—
948D4×C73—42no—
949D4×C73—41no—
950D4×C73—42no—
951D4×C73—44no—
952D4×C73—44no—
953D4×C73—42no—
954C2×C4×C73—22no—
955C2×C4×C73—24no—
956C2×C4×C73—42no—
957C2×C4×C73—44no—
958C2×C4×C73—42no—
959C2×C4×C73—44no—
960C2×C4×C73—44no—
961C2×C4×C73C2512yes—
962C2×C4×C73C2512yes—
963C2×C4×C73C2514yes—
964C2×C4×C73C2512yes—
965C2×C4×C73C2511yescharacteristic
966C2×C4×C73C2511yescharacteristic
967C2×C4×C73C2514yes—
968C2×C4×C73C2514yes—
969C2×C4×C73C2512yes—
970C22⋊D73—28no—
971C22⋊D73—28no—
972C22⋊D73—28no—
973C22⋊D73—28no—
974C22⋊D73—28no—
975C22⋊D73—44no—
976C22⋊D73—44no—
977C22⋊D73—44no—
978C22⋊D73—44no—
979C22⋊D73—44no—
980C22⋊D73—44no—
981C22⋊D73—42no—
982C22⋊D73—42no—
983C22⋊D73—44no—
984C22⋊D73—42no—
985C22⋊D73—42no—
986C22⋊D73—44no—
987C22⋊D73—44no—
988C22⋊D73—44no—
989C22⋊D73—44no—
990C2×Dic73—24no—
991C2×Dic73—24no—
992C2×Dic73—28no—
993C2×Dic73—24no—
994C2×Dic73—24no—
995C2×Dic73—24no—
996C2×Dic73—24no—
997C2×Dic73—28no—
998C2×Dic73—42no—
999C2×Dic73—44no—
1000C2×Dic73—44no—
1001C2×Dic73H(5,𝔽2)14yes—
1002C2×Dic73C2514yes—
1003C2×Dic73C2512yes—
1004C2×Dic73C2514yes—
1005C2×Dic73C2512yes—
1006C2×Dic73C2514yes—
1007C2×Dic73C2512yes—
1008C2×Dic73C2511yescharacteristic
1009C2×Dic73C2511yescharacteristic
1010C2×Dic73C2512yes—
1011D292—44no—
1012D292—44no—
1013D292—42no—
1014D292—41no—
1015D292—42no—
1016D292—41no—
1017D292—42no—
1018D292—42no—
1019D292—42no—
1020D292—42no—
1021D292—44no—
1022D292—44no—
1023D292—42no—
1024D292—44no—
1025C4×D73—24no—
1026C4×D73—24no—
1027C4×D73—22no—
1028C4×D73—22no—
1029C4×D73—22no—
1030C4×D73—22no—
1031C4×D73—24no—
1032C4×D73—24no—
1033C4×D73—28no—
1034C4×D73—24no—
1035C4×D73—24no—
1036C4×D73—28no—
1037C4×D73—42no—
1038C4×D73—42no—
1039C4×D73—44no—
1040C4×D73—44no—
1041C4×D73—44no—
1042C4×D73—44no—
1043C4×D73—44no—
1044C4×D73—44no—
1045Dic146—28no—
1046Dic146—28no—
1047Dic146—42no—
1048Dic146—44no—
1049Dic146—41no—
1050Dic146—42no—
1051Dic146—41no—
1052Dic146—42no—
1053C22×C73—22no—
1054C22×C73—22no—
1055C22×C73—22no—
1056C22×C73—24no—
1057C22×C73—24no—
1058C22×C73—24no—
1059C22×C73—24no—
1060C22×C73—24no—
1061C22×C73—84no—
1062C22×C73—84no—
1063C22×C73C2×H(5,𝔽2)12yes—
1064C22×C73C2611yescharacteristic
1065C2×D73—22no—
1066C2×D73—22no—
1067C2×D73—21no—
1068C2×D73—21no—
1069C2×D73—24no—
1070C2×D73—22no—
1071C2×D73—22no—
1072C2×D73—24no—
1073C2×D73—24no—
1074C2×D73—24no—
1075C2×D73—24no—
1076C2×D73—44no—
1077C2×D73—84no—
1078C2×D73—84no—
1079C2×D73—88no—
1080C4×C73—24no—
1081C4×C73—21no—
1082C4×C73—21no—
1083C4×C73—22no—
1084C4×C73—22no—
1085C4×C73—24no—
1086C4×C73—22no—
1087C4×C73—22no—
1088C4×C73—24no—
1089Dic73—24no—
1090Dic73—22no—
1091Dic73—22no—
1092Dic73—24no—
1093Dic73—24no—
1094Dic73—22no—
1095Dic73C2×H(5,𝔽2)12yes—
1096Dic73C2×H(5,𝔽2)12yes—
1097Dic73#58514yes—
1098#62759—731nomaximal, Sylow
1099C2×C73—22no—
1100C2×C73—44no—
1101C2×C73—42no—
1102C2×C73—42no—
1103C2×C73C22×H(5,𝔽2)11yescharacteristic
1104C2×C73C2×#58512yes—
1105D73—41no—
1106D73—41no—
1107D73—42no—
1108D73—44no—
1109D73—42no—
1110#3551—732no—
1111#3551—732no—
1112#3550—731no—
1113#3549—731no—
1114#3548—732no—
1115#3547—734no—
1116#3546—734no—
1117#3545—732no—
1118#3545—731no—
1119#3545D7311yescharacteristic, complemented
1120#3544—732no—
1121#3543—732no—
1122#3542—734no—
1123#3542—734no—
1124#3529—731no—
1125#3529—732no—
1126#3529—731no—
1127#3483—732no—
1128#3481—732no—
1129#3475—734no—
1130D4×#41—734no—
1131#3460—734no—
1132#3460—734no—
1133#3449—732no—
1134#3449—732no—
1135#3444—732no—
1136C2×#532—731no—
1137C73#6275911yescharacteristic, complemented, Sylow
1138C22×#41—732no—
1139C22×#41—731no—
1140C22×#41—731no—
1141C22×#41—732no—
1142#563—732no—
1143#563—732no—
1144#563—732no—
1145#563—731no—
1146#563—734no—
1147#563C2×D7311yescharacteristic, complemented
1148#562—732no—
1149#562—734no—
1150#562—732no—
1151#562—732no—
1152#562—734no—
1153#562—734no—
1154#562—734no—
1155#562C2×D7312yescomplemented
1156H(3,𝔽4)—731no—
1157H(3,𝔽4)—732no—
1158H(3,𝔽4)C2×D7311yescharacteristic, complemented
1159#560—734no—
1160#560—734no—
1161#560—732no—
1162#560—734no—
1163#560—734no—
1164#560—734no—
1165#560—732no—
1166#559—732no—
1167Q82—732no—
1168#556—734no—
1169#555—734no—
1170#555—734no—
1171#555—732no—
1172#555—732no—
1173#555—734no—
1174#555—734no—
1175#555C2×D7312yescomplemented
1176#554—734no—
1177#554—734no—
1178#553—734no—
1179#553—734no—
1180#553—734no—
1181#553—734no—
1182#552—734no—
1183#552—734no—
1184#552—734no—
1185#552—734no—
1186#551—732no—
1187#551—734no—
1188#551—734no—
1189#551—734no—
1190#551—734no—
1191#551C2×D7314yescomplemented
1192#551C2×D7312yescomplemented
1193#550—734no—
1194#550—734no—
1195#550—734no—
1196#550—734no—
1197D4×Q8—734no—
1198#548—734no—
1199#548—734no—
1200#547—734no—
1201#547—734no—
1202#547—734no—
1203#547—734no—
1204#546—734no—
1205#546—734no—
1206#546—734no—
1207#546—734no—
1208#546—734no—
1209#546—734no—
1210#546—734no—
1211#546—734no—
1212#546—734no—
1213#546C2×D7314yescomplemented
1214D42—734no—
1215D42—734no—
1216D42—734no—
1217D42—732no—
1218#544—734no—
1219#544—734no—
1220#542—734no—
1221#542—734no—
1222#542—734no—
1223#542—734no—
1224#542—734no—
1225#542—734no—
1226#542—734no—
1227#542C2×D7314yescomplemented
1228#540—734no—
1229#540—734no—
1230#540—734no—
1231#540—734no—
1232#540—734no—
1233#540—734no—
1234#540—734no—
1235#540—734no—
1236#538—734no—
1237#538—734no—
1238#538—734no—
1239#538—734no—
1240#538—734no—
1241#538—734no—
1242#538—734no—
1243#538C2×D7314yescomplemented
1244#537—734no—
1245#537—734no—
1246#537—734no—
1247#537—734no—
1248#537—734no—
1249#537—734no—
1250#536—732no—
1251#536—732no—
1252#536—732no—
1253#536—734no—
1254#536—732no—
1255#536—732no—
1256#536C2×D7312yescomplemented
1257#535—732no—
1258#535—732no—
1259#535—732no—
1260#535—734no—
1261#535—734no—
1262#535—734no—
1263#535—732no—
1264#535—732no—
1265#535—734no—
1266#535—734no—
1267#535—732no—
1268#534—732no—
1269#534—732no—
1270#534—734no—
1271#534—734no—
1272#534—732no—
1273#534C2×D7312yescomplemented
1274#533—732no—
1275#533—732no—
1276#533—732no—
1277#532—732no—
1278#532—732no—
1279#532—731no—
1280#532—731no—
1281#532—734no—
1282#532—731no—
1283#532—731no—
1284#532—731no—
1285#532—734no—
1286#532—731no—
1287#532—731no—
1288#532—731no—
1289#532—732no—
1290#532—732no—
1291#532—732no—
1292#532—734no—
1293#532—732no—
1294#532—734no—
1295#532—734no—
1296#532—734no—
1297#532—732no—
1298C2×C4⋊Q8—731no—
1299C2×#127—731no—
1300#529—734no—
1301#529—734no—
1302#529—734no—
1303#529—734no—
1304#529—732no—
1305#529—732no—
1306#529—734no—
1307#529—734no—
1308#529—734no—
1309#529—734no—
1310#529—734no—
1311#529—734no—
1312#529—732no—
1313#529C2×D7312yescomplemented
1314C2×#124—731no—
1315C2×#124C2×D7311yescharacteristic, complemented
1316#525—734no—
1317#525—732no—
1318#525—734no—
1319#525—732no—
1320#525—734no—
1321#525—732no—
1322#525—734no—
1323#525—734no—
1324#525—734no—
1325#525—732no—
1326#525—734no—
1327#525—732no—
1328#525—734no—
1329#525—732no—
1330#525—734no—
1331#525—734no—
1332C2×#121—734no—
1333C4×#41—732no—
1334C4×#41—732no—
1335C4×#41—734no—
1336C4×#41—734no—
1337C4×#41—734no—
1338C4×#41—734no—
1339C2×C4×D4—734no—
1340C2×C4×D4—734no—
1341C2×C4×D4—734no—
1342C2×#117—732no—
1343C2×#117—732no—
1344C22×C42—731no—
1345C2×#41—2928no—
1346C2×#41—2928no—
1347C2×#41—2924no—
1348C2×#41—2924no—
1349C2×#41—732no—
1350C2×#41—731no—
1351C2×#41—732no—
1352C2×#41—732no—
1353C2×#41—731no—
1354C2×#41—731no—
1355C2×#41—732no—
1356C2×#41—731no—
1357C2×#41—732no—
1358C2×#41—734no—
1359C2×#41—731no—
1360C2×#41—734no—
1361C2×#41—732no—
1362C2×#41—732no—
1363C2×#41—731no—
1364C2×#41—731no—
1365C2×#41—732no—
1366C2×#41—731no—
1367C2×#41—734no—
1368C2×#41—734no—
1369C2×#41—734no—
1370C2×#41—734no—
1371C2×#41—734no—
1372C2×#41—732no—
1373C2×#41—734no—
1374C2×#41C22×D7312yes—
1375C22×Q8—732no—
1376C22×Q8—731no—
1377C22×Q8—732no—
1378C22×Q8C22×D7311yescharacteristic
1379C22×D4—734no—
1380C22×D4—734no—
1381C22×D4—732no—
1382C22×D4—732no—
1383C22×D4—732no—
1384C22×D4—734no—
1385C22×D4—734no—
1386C22×D4—732no—
1387C22×D4—732no—
1388C22×D4—731no—
1389C22×D4C22×D7311yescharacteristic
1390C22×D4C22×D7312yes—
1391C23×C4—732no—
1392C23×C4—732no—
1393C23×C4—734no—
1394C23×C4—732no—
1395C23×C4—732no—
1396C23×C4—732no—
1397C23×C4—731no—
1398C4⋊Q8—734no—
1399C4⋊Q8—731no—
1400C4⋊Q8—731no—
1401C4⋊Q8—731no—
1402C4⋊Q8—731no—
1403C4⋊Q8—732no—
1404C4⋊Q8—732no—
1405C4⋊Q8—732no—
1406C4⋊Q8—734no—
1407C4⋊Q8—732no—
1408C4⋊Q8—732no—
1409C4⋊Q8—734no—
1410C4⋊Q8—734no—
1411C4⋊Q8—734no—
1412C4⋊Q8C22×D7312yes—
1413C4⋊Q8C22×D7312yes—
1414#127—734no—
1415#127—731no—
1416#127—731no—
1417#127—731no—
1418#127—731no—
1419#127—732no—
1420#127—732no—
1421#127—734no—
1422#127—732no—
1423#127—734no—
1424#127—734no—
1425#127—734no—
1426#127—732no—
1427#127—732no—
1428#126—734no—
1429#126—734no—
1430#126—734no—
1431#126—734no—
1432#126—734no—
1433#126—734no—
1434#126—734no—
1435#126—734no—
1436#126—734no—
1437#126—734no—
1438#126—734no—
1439#126—734no—
1440#126—734no—
1441#126C22×D7314yes—
1442#126C22×D7314yes—
1443#126C22×D7314yes—
1444#125—734no—
1445#125—734no—
1446#125—734no—
1447#125—734no—
1448#125—734no—
1449#125—734no—
1450#125—734no—
1451#125—732no—
1452#125—734no—
1453#125C22×D7312yes—
1454#124—734no—
1455#124—732no—
1456#124—732no—
1457#124—732no—
1458#124—732no—
1459#124—734no—
1460#124—734no—
1461#124—734no—
1462#124—734no—
1463#124—734no—
1464#124—734no—
1465#124—734no—
1466#124—734no—
1467#124—734no—
1468#124—734no—
1469#124—734no—
1470#124—734no—
1471#124—734no—
1472#124—731no—
1473#124—731no—
1474#124—731no—
1475#124—731no—
1476#124—732no—
1477#124—732no—
1478#124—732no—
1479#124—734no—
1480#124C22×D7314yes—
1481#124C22×D7311yescharacteristic
1482#124C22×D7311yescharacteristic
1483#124C22×D7311yescharacteristic
1484#124C22×D7311yescharacteristic
1485#124C22×D7312yes—
1486#124C22×D7314yes—
1487#124C22×D7312yes—
1488#124C22×D7312yes—
1489#124C22×D7314yes—
1490#123—732no—
1491#123—734no—
1492#123—732no—
1493#123—734no—
1494#123—734no—
1495#123—732no—
1496#123—734no—
1497#123—732no—
1498#123—734no—
1499#123—734no—
1500#123—734no—
1501#123—734no—
1502#123—734no—
1503#123—734no—
1504#123—734no—
1505#123—734no—
1506#123—734no—
1507#123—734no—
1508#123—734no—
1509#123—734no—
1510#123—734no—
1511#123—734no—
1512#123—734no—
1513#123—732no—
1514#123—734no—
1515#123—732no—
1516#123—734no—
1517#123—734no—
1518#123—734no—
1519#123—734no—
1520#123—734no—
1521#123—734no—
1522#123—734no—
1523#123—734no—
1524#123—734no—
1525#123C22×D7314yes—
1526#123C22×D7314yes—
1527#123C22×D7312yes—
1528#123C22×D7312yes—
1529#123C22×D7314yes—
1530#123C22×D7314yes—
1531#123C22×D7314yes—
1532C22⋊Q8—732no—
1533C22⋊Q8—734no—
1534C22⋊Q8—734no—
1535C22⋊Q8—734no—
1536C22⋊Q8—734no—
1537C22⋊Q8—732no—
1538C22⋊Q8—734no—
1539C22⋊Q8—734no—
1540C22⋊Q8—734no—
1541C22⋊Q8—734no—
1542C22⋊Q8—732no—
1543C22⋊Q8—734no—
1544C22⋊Q8—734no—
1545C22⋊Q8—734no—
1546C22⋊Q8—734no—
1547C22⋊Q8—734no—
1548C22⋊Q8—734no—
1549C22⋊Q8—734no—
1550C22⋊Q8—734no—
1551C22⋊Q8—734no—
1552C22⋊Q8—734no—
1553C22⋊Q8—734no—
1554C22⋊Q8—734no—
1555C22⋊Q8—734no—
1556C22⋊Q8—734no—
1557C22⋊Q8—734no—
1558C22⋊Q8—734no—
1559C22⋊Q8—734no—
1560C22⋊Q8—734no—
1561C22⋊Q8C22×D7312yes—
1562C22⋊Q8C22×D7314yes—
1563C22⋊Q8C22×D7314yes—
1564C22⋊Q8C22×D7314yes—
1565C22⋊Q8C22×D7314yes—
1566#121—734no—
1567#121—732no—
1568#121—734no—
1569#121—734no—
1570#121—734no—
1571#121—734no—
1572#121—734no—
1573#121—734no—
1574#121—734no—
1575#121—734no—
1576#121—734no—
1577#121—734no—
1578#121—734no—
1579#121—734no—
1580#121—734no—
1581#121—734no—
1582#121—734no—
1583#121—734no—
1584#121—732no—
1585#121—734no—
1586#121—734no—
1587#121—734no—
1588#121—734no—
1589#121—734no—
1590#121—734no—
1591#121—734no—
1592#121—732no—
1593#121—734no—
1594#121—734no—
1595#121—734no—
1596#121—734no—
1597#121—734no—
1598#121—734no—
1599#121—734no—
1600#121—734no—
1601#121—734no—
1602#121—734no—
1603#121—734no—
1604#121—734no—
1605#121—734no—
1606#121—734no—
1607#121—734no—
1608#121—734no—
1609#121—734no—
1610#121—734no—
1611#121—734no—
1612#121—734no—
1613#121—734no—
1614#121—734no—
1615#121—734no—
1616#121—734no—
1617#121—734no—
1618#121—734no—
1619#121—734no—
1620#121—734no—
1621#121—734no—
1622#121—734no—
1623#121—734no—
1624#121—734no—
1625#121—734no—
1626#121—734no—
1627#121C22×D7312yes—
1628#121C22×D7314yes—
1629#121C22×D7314yes—
1630#121C22×D7314yes—
1631#121C22×D7314yes—
1632#120—732no—
1633#120—734no—
1634#120—732no—
1635#120—734no—
1636#120—734no—
1637#120—732no—
1638#120—734no—
1639#120—732no—
1640#120—734no—
1641#120—734no—
1642#120—734no—
1643#120—734no—
1644#120—734no—
1645#120—734no—
1646#120—732no—
1647#120—734no—
1648#120—734no—
1649#120—734no—
1650#120—732no—
1651#120—734no—
1652#120—734no—
1653#120—734no—
1654#120C22×D7312yes—
1655#120C22×D7314yes—
1656#120C22×D7312yes—
1657#120C22×D7314yes—
1658C4×Q8—732no—
1659C4×Q8—734no—
1660C4×Q8—732no—
1661C4×Q8—734no—
1662C4×Q8—734no—
1663C4×Q8—734no—
1664C4×Q8—732no—
1665C4×Q8—734no—
1666C4×Q8—734no—
1667C4×Q8C22×D7312yes—
1668C4×D4—734no—
1669C4×D4—732no—
1670C4×D4—734no—
1671C4×D4—734no—
1672C4×D4—734no—
1673C4×D4—734no—
1674C4×D4—734no—
1675C4×D4—734no—
1676C4×D4—734no—
1677C4×D4—734no—
1678C4×D4—734no—
1679C4×D4—734no—
1680C4×D4—732no—
1681C4×D4—734no—
1682C4×D4—734no—
1683C4×D4—734no—
1684C4×D4—734no—
1685C4×D4—734no—
1686C4×D4—734no—
1687C4×D4—734no—
1688C4×D4—734no—
1689C4×D4—734no—
1690C4×D4—734no—
1691C4×D4—734no—
1692C4×D4—734no—
1693C4×D4—734no—
1694C4×D4—734no—
1695C4×D4—734no—
1696C4×D4—734no—
1697C4×D4—734no—
1698C4×D4—734no—
1699C4×D4—734no—
1700C4×D4—734no—
1701C4×D4—734no—
1702C4×D4—734no—
1703C4×D4—734no—
1704C4×D4—734no—
1705C4×D4—734no—
1706C4×D4—734no—
1707C4×D4—734no—
1708C4×D4—734no—
1709C4×D4—734no—
1710C4×D4—734no—
1711C4×D4—734no—
1712C4×D4—734no—
1713C4×D4—732no—
1714C4×D4C22×D7314yes—
1715C4×D4C22×D7314yes—
1716C4×D4C22×D7312yes—
1717C4×D4C22×D7314yes—
1718#117—732no—
1719#117—734no—
1720#117—734no—
1721#117—732no—
1722#117—732no—
1723#117—734no—
1724#117—734no—
1725#117—734no—
1726#117—732no—
1727#117—732no—
1728#117—734no—
1729#117—732no—
1730#117—732no—
1731#117—734no—
1732#117—734no—
1733#117—734no—
1734#117—734no—
1735#117—732no—
1736#117—732no—
1737#117—734no—
1738#117—734no—
1739#117—734no—
1740#117—734no—
1741#117C22×D7312yes—
1742#117C22×D7314yes—
1743#117C22×D7314yes—
1744C2×C4⋊C4—734no—
1745C2×C4⋊C4—734no—
1746C2×C4⋊C4—734no—
1747C2×C4⋊C4—734no—
1748C2×C4⋊C4—734no—
1749C2×C22⋊C4—732no—
1750C2×C22⋊C4—734no—
1751C2×C22⋊C4—734no—
1752C2×C22⋊C4—734no—
1753C2×C22⋊C4—734no—
1754C2×C22⋊C4—734no—
1755C2×C22⋊C4C22×D7312yes—
1756C2×C22⋊C4C22×D7314yes—
1757C2×C22⋊C4C22×D7314yes—
1758C2×C42—734no—
1759C2×C42—732no—
1760C2×C42—734no—
1761C2×C42—731no—
1762C2×C42—732no—
1763C2×C42—732no—
1764C2×C42—734no—
1765C2×C42—731no—
1766C2×C42—732no—
1767C2×C42—731no—
1768C2×C42—731no—
1769C2×C42—732no—
1770C2×C42—731no—
1771C2×C42C22×D7311yescharacteristic
1772C24—734no—
1773C24—732no—
1774C24—732no—
1775C24—731no—
1776C24C23×D7312yes—
1777C24C23×D7312yes—
1778#41—44no—
1779#41—2924no—
1780#41—2928no—
1781#41—2928no—
1782#41—2928no—
1783#41—2928no—
1784#41—2928no—
1785#41—2928no—
1786#41—2928no—
1787#41—2922no—
1788#41—2924no—
1789#41—2924no—
1790#41—2922no—
1791#41—2924no—
1792#41—2922no—
1793#41—2922no—
1794#41—2924no—
1795#41—2922no—
1796#41—2924no—
1797#41—2924no—
1798#41—2922no—
1799#41—2924no—
1800#41—2922no—
1801#41—2922no—
1802#41—2924no—
1803#41—14616no—
1804C2×Q8—42no—
1805C2×Q8—2922no—
1806C2×Q8—2924no—
1807C2×Q8—2924no—
1808C2×Q8—732no—
1809C2×Q8—731no—
1810C2×Q8—734no—
1811C2×Q8—732no—
1812C2×Q8—732no—
1813C2×Q8—731no—
1814C2×Q8—734no—
1815C2×Q8—734no—
1816C2×Q8C23×D7312yes—
1817C2×Q8C23×D7311yescharacteristic
1818C2×Q8C23×D7312yes—
1819C2×Q8C23×D7312yes—
1820C2×Q8C23×D7311yescharacteristic
1821C2×D4—42no—
1822C2×D4—44no—
1823C2×D4—2922no—
1824C2×D4—2924no—
1825C2×D4—2928no—
1826C2×D4—2924no—
1827C2×D4—2928no—
1828C2×D4—2924no—
1829C2×D4—2924no—
1830C2×D4—2928no—
1831C2×D4—2928no—
1832C2×D4—2924no—
1833C2×D4—734no—
1834C2×D4—734no—
1835C2×D4—734no—
1836C2×D4—734no—
1837C2×D4—734no—
1838C2×D4—734no—
1839C2×D4—734no—
1840C2×D4—734no—
1841C2×D4—732no—
1842C2×D4—734no—
1843C2×D4—732no—
1844C2×D4—734no—
1845C2×D4—734no—
1846C2×D4—732no—
1847C2×D4—732no—
1848C2×D4—734no—
1849C2×D4—734no—
1850C2×D4—734no—
1851C2×D4—734no—
1852C2×D4—734no—
1853C2×D4—732no—
1854C2×D4—734no—
1855C2×D4—734no—
1856C2×D4—734no—
1857C2×D4—734no—
1858C2×D4—731no—
1859C2×D4—732no—
1860C2×D4—732no—
1861C2×D4—732no—
1862C2×D4—732no—
1863C2×D4—734no—
1864C2×D4—732no—
1865C2×D4—731no—
1866C2×D4—732no—
1867C2×D4C23×D7314yes—
1868C2×D4C23×D7312yes—
1869C2×D4C23×D7314yes—
1870C2×D4C23×D7314yes—
1871C2×D4C23×D7311yescharacteristic
1872C2×D4C23×D7312yes—
1873C2×D4C23×D7314yes—
1874C2×D4C23×D7312yes—
1875C2×D4C23×D7311yescharacteristic
1876C22×C4—2924no—
1877C22×C4—2924no—
1878C22×C4—2928no—
1879C22×C4—2924no—
1880C22×C4—734no—
1881C22×C4—734no—
1882C22×C4—732no—
1883C22×C4—732no—
1884C22×C4—732no—
1885C22×C4—734no—
1886C22×C4—734no—
1887C22×C4—734no—
1888C22×C4—734no—
1889C22×C4—734no—
1890C22×C4—734no—
1891C22×C4—731no—
1892C22×C4—732no—
1893C22×C4—732no—
1894C22×C4—734no—
1895C22×C4—734no—
1896C22×C4—732no—
1897C22×C4—732no—
1898C22×C4—732no—
1899C22×C4—732no—
1900C22×C4—732no—
1901C22×C4—732no—
1902C22×C4—731no—
1903C22×C4—731no—
1904C22×C4—732no—
1905C22×C4—731no—
1906C22×C4—731no—
1907C22×C4—734no—
1908C22×C4—734no—
1909C22×C4—732no—
1910C22×C4—732no—
1911C22×C4—732no—
1912C22×C4—1464no—
1913C22×C4—1468no—
1914C22×C4—1468no—
1915C22×C4C23×D7311yescharacteristic
1916C22×C4C23×D7312yes—
1917C22×C4C23×D7312yes—
1918C22×C4C23×D7314yes—
1919C22×C4C23×D7314yes—
1920C22×C4C23×D7314yes—
1921C22×C4C23×D7312yes—
1922C4⋊C4—734no—
1923C4⋊C4—734no—
1924C4⋊C4—734no—
1925C4⋊C4—734no—
1926C4⋊C4—734no—
1927C4⋊C4—734no—
1928C4⋊C4—734no—
1929C4⋊C4—734no—
1930C4⋊C4—734no—
1931C4⋊C4—734no—
1932C4⋊C4—734no—
1933C4⋊C4—734no—
1934C4⋊C4—734no—
1935C4⋊C4—734no—
1936C4⋊C4—734no—
1937C4⋊C4—734no—
1938C4⋊C4—734no—
1939C4⋊C4—734no—
1940C4⋊C4—734no—
1941C4⋊C4—734no—
1942C4⋊C4—734no—
1943C4⋊C4—734no—
1944C4⋊C4—734no—
1945C4⋊C4—734no—
1946C4⋊C4—734no—
1947C4⋊C4—732no—
1948C4⋊C4—732no—
1949C4⋊C4C23×D7314yes—
1950C4⋊C4C23×D7314yes—
1951C4⋊C4C23×D7314yes—
1952C4⋊C4C23×D7314yes—
1953C4⋊C4C23×D7312yes—
1954C4⋊C4C23×D7314yes—
1955C4⋊C4C23×D7312yes—
1956C4⋊C4C23×D7314yes—
1957C4⋊C4C23×D7314yes—
1958C22⋊C4—734no—
1959C22⋊C4—732no—
1960C22⋊C4—732no—
1961C22⋊C4—734no—
1962C22⋊C4—734no—
1963C22⋊C4—734no—
1964C22⋊C4—734no—
1965C22⋊C4—734no—
1966C22⋊C4—734no—
1967C22⋊C4—734no—
1968C22⋊C4—734no—
1969C22⋊C4—734no—
1970C22⋊C4—734no—
1971C22⋊C4—734no—
1972C22⋊C4—734no—
1973C22⋊C4—734no—
1974C22⋊C4—734no—
1975C22⋊C4—734no—
1976C22⋊C4—734no—
1977C22⋊C4—734no—
1978C22⋊C4—734no—
1979C22⋊C4—734no—
1980C22⋊C4—734no—
1981C22⋊C4—734no—
1982C22⋊C4—734no—
1983C22⋊C4—734no—
1984C22⋊C4—734no—
1985C22⋊C4—734no—
1986C22⋊C4—734no—
1987C22⋊C4—734no—
1988C22⋊C4—734no—
1989C22⋊C4—734no—
1990C22⋊C4—734no—
1991C22⋊C4C23×D7314yes—
1992C22⋊C4C23×D7314yes—
1993C22⋊C4C23×D7314yes—
1994C22⋊C4C23×D7312yes—
1995C22⋊C4C23×D7312yes—
1996C22⋊C4C23×D7314yes—
1997C22⋊C4C23×D7314yes—
1998C22⋊C4C23×D7314yes—
1999C22⋊C4C23×D7314yes—
2000C22⋊C4C23×D7314yes—
2001C22⋊C4C23×D7314yes—
2002C22⋊C4C23×D7314yes—
2003C22⋊C4C23×D7314yes—
2004C22⋊C4C23×D7314yes—
2005C22⋊C4C23×D7314yes—
2006C42—732no—
2007C42—734no—
2008C42—734no—
2009C42—732no—
2010C42—732no—
2011C42—732no—
2012C42—732no—
2013C42—731no—
2014C42—731no—
2015C42—732no—
2016C42—734no—
2017C42—734no—
2018C42—734no—
2019C42—734no—
2020C42—732no—
2021C42—734no—
2022C42C23×D7311yescharacteristic
2023C42C23×D7312yes—
2024C42C23×D7311yescharacteristic
2025C42C23×D7312yes—
2026C42C23×D7314yes—
2027C42C23×D7312yes—
2028C23—24no—
2029C23—42no—
2030C23—44no—
2031C23—44no—
2032C23—2922no—
2033C23—2922no—
2034C23—2924no—
2035C23—2924no—
2036C23—2924no—
2037C23—2924no—
2038C23—2924no—
2039C23—732no—
2040C23—734no—
2041C23—732no—
2042C23—731no—
2043C23—731no—
2044C23—1462no—
2045C23—1464no—
2046C23C24×D7312yes—
2047C23C24×D7314yes—
2048C23C24×D7312yes—
2049C23C24×D7311yescharacteristic
2050Q8—41no—
2051Q8—42no—
2052Q8—41no—
2053Q8—42no—
2054Q8—42no—
2055Q8—2921no—
2056Q8—2922no—
2057Q8—2921no—
2058Q8—2922no—
2059Q8—2924no—
2060Q8—2922no—
2061Q8—1468no—
2062Q8—1468no—
2063D4—28no—
2064D4—41no—
2065D4—42no—
2066D4—41no—
2067D4—44no—
2068D4—42no—
2069D4—44no—
2070D4—44no—
2071D4—42no—
2072D4—2922no—
2073D4—2922no—
2074D4—2921no—
2075D4—2922no—
2076D4—2921no—
2077D4—2922no—
2078D4—2922no—
2079D4—2922no—
2080D4—2924no—
2081D4—2924no—
2082D4—2924no—
2083D4—2924no—
2084D4—2924no—
2085D4—2922no—
2086D4—2922no—
2087D4—2922no—
2088D4—2924no—
2089D4—2924no—
2090D4—2922no—
2091D4—2924no—
2092D4—2922no—
2093D4—2924no—
2094D4—2924no—
2095D4—2924no—
2096D4—2924no—
2097D4—2924no—
2098D4—2924no—
2099D4—2924no—
2100D4—2924no—
2101D4—1468no—
2102D4—1468no—
2103D4—1468no—
2104D4—1468no—
2105D4—1468no—
2106C2×C4—22no—
2107C2×C4—24no—
2108C2×C4—42no—
2109C2×C4—44no—
2110C2×C4—42no—
2111C2×C4—44no—
2112C2×C4—44no—
2113C2×C4—2924no—
2114C2×C4—2924no—
2115C2×C4—2924no—
2116C2×C4—2922no—
2117C2×C4—2922no—
2118C2×C4—2924no—
2119C2×C4—2924no—
2120C2×C4—2924no—
2121C2×C4—2922no—
2122C2×C4—2924no—
2123C2×C4—2924no—
2124C2×C4—734no—
2125C2×C4—731no—
2126C2×C4—732no—
2127C2×C4—731no—
2128C2×C4—734no—
2129C2×C4—734no—
2130C2×C4—732no—
2131C2×C4—732no—
2132C2×C4—734no—
2133C2×C4—732no—
2134C2×C4—1464no—
2135C2×C4—1468no—
2136C2×C4—1464no—
2137C2×C4—1464no—
2138C2×C4—1464no—
2139C2×C4—1464no—
2140C2×C4—1462no—
2141C2×C4—1462no—
2142C2×C4—1462no—
2143C2×C4—1462no—
2144C2×C4—1464no—
2145C2×C4—1468no—
2146C2×C4—1464no—
2147C2×C4—1468no—
2148C2×C4—1464no—
2149C2×C4—1464no—
2150C2×C4—1464no—
2151C2×C4—1464no—
2152C2×C4—1468no—
2153C2×C4—1464no—
2154C2×C4C24×D7312yes—
2155C2×C4C24×D7314yes—
2156C2×C4C24×D7312yes—
2157C2×C4C24×D7314yes—
2158C2×C4C24×D7311yescharacteristic
2159C2×C4C24×D7311yescharacteristic
2160C2×C4C24×D7312yes—
2161C2×C4C24×D7314yes—
2162C2×C4C24×D7312yes—
2163C22—22no—
2164C22—22no—
2165C22—24no—
2166C22—22no—
2167C22—24no—
2168C22—24no—
2169C22—24no—
2170C22—24no—
2171C22—84no—
2172C22—84no—
2173C22—2924no—
2174C22—5844no—
2175C22—5844no—
2176C22—5848no—
2177C22—1462no—
2178C22—1464no—
2179C22—1461no—
2180C22—1461no—
2181C22—1462no—
2182C22—1464no—
2183C22—1462no—
2184C22—1462no—
2185C22—1464no—
2186C22—1464no—
2187C22—1464no—
2188C22H(5,𝔽2)×D7312yes—
2189C22C25×D7311yescharacteristic
2190C4—22no—
2191C4—21no—
2192C4—21no—
2193C4—22no—
2194C4—24no—
2195C4—22no—
2196C4—24no—
2197C4—24no—
2198C4—22no—
2199C4—732no—
2200C4—732no—
2201C4—734no—
2202C4—1462no—
2203C4—1464no—
2204C4—1462no—
2205C4—1464no—
2206C4—1462no—
2207C4—1464no—
2208C2—22no—
2209C2—42no—
2210C2—44no—
2211C2—42no—
2212C2—2921no—
2213C2—2921no—
2214C2—2922no—
2215C2—2924no—
2216C2—2922no—
2217C2C2×H(5,𝔽2)×D7311yescharacteristic
2218C2#585×D7312yes—
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3545C2
hypercenter#3545D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3545

Complements

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

NH ≅ G/Ntype
1. #22624354C2semidirect
2. #22624346C2semidirect
3. #22624341C2semidirect
4. #22624335C2semidirect
5. #22624327C2semidirect
6. #22624313C2semidirect
7. #22624296C2semidirect
8. #22624288C2semidirect
9. #22624283C2semidirect
10. #22624269C2semidirect
11. #22624258C2semidirect
12. #22624240C2semidirect
13. #22624232C2semidirect
14. #22624072C2semidirect
15. #22624071C2semidirect
16. #22624068C2semidirect
17. #22623556C2semidirect
18. #22623534C2semidirect
19. #22623486C2semidirect
20. #22623415C2semidirect
21. #22623351C2semidirect
22. #22623350C2semidirect
23. #22623263C2semidirect
24. #22623257C2semidirect
25. #22623225C2semidirect
26. C2×#17989136C2semidirect
27. C73×#3545C2semidirect
28. C22×#11924029C22semidirect
29. C22×#11924027C22semidirect
30. C22×#11924027C22semidirect
31. C2×#41×D73C22semidirect
32. #17989341C22semidirect
33. #17989338C22semidirect
34. #17989337C22semidirect
35. #17989337C22semidirect
36. #17989336C22semidirect
37. #17989335C22semidirect
38. #17989334C22semidirect
39. #17989333C22semidirect
40. #17989333C22semidirect
41. #17989331C22semidirect
42. #17989331C22semidirect
43. #17989331C22semidirect
44. #17989329C22semidirect
45. #17989329C22semidirect
46. #17989328C22semidirect
47. #17989327C22semidirect
48. #17989327C22semidirect
49. #17989326C22semidirect
50. #17989326C22semidirect
51. #17989325C22semidirect
52. #17989325C22semidirect
53. #17989321C22semidirect
54. #17989317C22semidirect
55. #17989304C22semidirect
56. #17989300C22semidirect
57. #17989300C22semidirect
58. #17989299C22semidirect
59. #17989299C22semidirect
60. #17989299C22semidirect
61. #17989299C22semidirect
62. #17989291C22semidirect
63. #17989291C22semidirect
64. #17989288C22semidirect
65. #17989286C22semidirect
66. #17989286C22semidirect
67. #17989282C22semidirect
68. #17989274C22semidirect
69. #17989273C22semidirect
70. #17989270C22semidirect
71. #17989270C22semidirect
72. #17989267C22semidirect
73. #17989266C22semidirect
74. #17989264C22semidirect
75. #17989263C22semidirect
76. #17989261C22semidirect
77. #17989258C22semidirect
78. #17989255C22semidirect
79. #17989255C22semidirect
80. #17989255C22semidirect
81. #17989250C22semidirect
82. #17989246C22semidirect
83. #17989245C22semidirect
84. #17989236C22semidirect
85. #17989235C22semidirect
86. #17989235C22semidirect
87. #17989235C22semidirect
88. #17989232C22semidirect
89. #17989229C22semidirect
90. #17989227C22semidirect
91. #17989227C22semidirect
92. #17989227C22semidirect
93. #17989227C22semidirect
94. #17989226C22semidirect
95. #17989226C22semidirect
96. #17989224C22semidirect
97. D4×C22⋊D73C22semidirect
98. #17989219C22semidirect
99. #17989219C22semidirect
100. #17989219C22semidirect
101. #17989216C22semidirect
102. #17989214C22semidirect
103. #17989209C22semidirect
104. #17989207C22semidirect
105. #17989207C22semidirect
106. #17989203C22semidirect
107. #17989203C22semidirect
108. #17989201C22semidirect
109. #17989201C22semidirect
110. #17989192C22semidirect
111. #17989189C22semidirect
112. #17989189C22semidirect
113. #17989189C22semidirect
114. #17989189C22semidirect
115. #17989188C22semidirect
116. #17989187C22semidirect
117. #17989187C22semidirect
118. #17989176C22semidirect
119. #17989176C22semidirect
120. #17989175C22semidirect
121. #17989171C22semidirect
122. #17989171C22semidirect
123. #17989170C22semidirect
124. #17989170C22semidirect
125. #17989167C22semidirect
126. #17989167C22semidirect
127. #17989167C22semidirect
128. #17989164C22semidirect
129. #17989164C22semidirect
130. #17989164C22semidirect
131. #17989162C22semidirect
132. #17989162C22semidirect
133. #17989161C22semidirect
134. #17989159C22semidirect
135. #17989159C22semidirect
136. #17989159C22semidirect
137. #17989156C22semidirect
138. #17989155C22semidirect
139. #17989155C22semidirect
140. #17989155C22semidirect
141. #17989153C22semidirect
142. #17989152C22semidirect
143. #17989152C22semidirect
144. #17989152C22semidirect
145. #17989152C22semidirect
146. #17989152C22semidirect
147. #17989151C22semidirect
148. #17989149C22semidirect
149. #17989148C22semidirect
150. #17989148C22semidirect
151. #17989146C22semidirect
152. #17989146C22semidirect
153. #17989143C22semidirect
154. #17989141C22semidirect
155. #17989139C22semidirect
156. #17989138C22semidirect
157. #17989138C22semidirect
160. #17989136C22semidirect
161. #17989136C22semidirect
162. #17989136C22semidirect
163. #17989136C22semidirect
164. #17989136C22semidirect
165. #17989136C22semidirect
166. #17989136C22semidirect
167. #17989136C22semidirect
168. #17989136C22semidirect
169. #17989136C22semidirect
170. #17989136C22semidirect
171. #17989136C22semidirect
172. #17989134C22semidirect
174. #17989132C22semidirect
175. #17989132C22semidirect
176. #17989132C22semidirect
177. C2×#14556589C22semidirect
179. #17989123C22semidirect
180. #17989122C22semidirect
181. #17989121C22semidirect
182. #17989120C22semidirect
183. #17989120C22semidirect
184. #17989120C22semidirect
185. #17989120C22semidirect
186. #17989116C22semidirect
187. #17989116C22semidirect
188. #17989115C22semidirect
189. #17989114C22semidirect
190. #17989114C22semidirect
191. #17989114C22semidirect
192. C2×#14556579C22semidirect
193. #17989100C22semidirect
194. #17989100C22semidirect
195. #17989100C22semidirect
196. #17989100C22semidirect
197. #17989097C22semidirect
198. #17989097C22semidirect
199. #17989096C22semidirect
200. #17989095C22semidirect
201. #17989095C22semidirect
202. #17989095C22semidirect
203. #17989095C22semidirect
204. #17989095C22semidirect
205. #17989093C22semidirect
206. #17989093C22semidirect
207. #17989093C22semidirect
208. #17989093C22semidirect
209. C2×#14556564C22semidirect
210. C4×#11924029C22semidirect
211. #17989055C22semidirect
212. #17989055C22semidirect
213. C4×#11924027C22semidirect
214. C4×#11924027C22semidirect
215. C4×#11924027C22semidirect
216. C2×#14556551C22semidirect
217. C2×#14556551C22semidirect
218. C4×D4×D73C22semidirect
219. C2×#14556547C22semidirect
220. #117×D73C22semidirect
221. C2×C42×D73C22semidirect
222. #563×C73C22semidirect
223. #562×C73C22semidirect
224. H(3,𝔽4)×C73C22semidirect
225. #555×C73C22semidirect
226. #551×C73C22semidirect
227. #551×C73C22semidirect
228. #546×C73C22semidirect
229. #542×C73C22semidirect
230. #538×C73C22semidirect
231. #536×C73C22semidirect
232. #534×C73C22semidirect
233. #529×C73C22semidirect
234. C2×#124×C73C22semidirect
1119. #3545D73semidirect
1137. C73#62759semidirect
1147. #563C2×D73semidirect
1155. #562C2×D73semidirect
1158. H(3,𝔽4)C2×D73semidirect
1175. #555C2×D73semidirect
1191. #551C2×D73semidirect
1192. #551C2×D73semidirect
1213. #546C2×D73semidirect
1227. #542C2×D73semidirect
1243. #538C2×D73semidirect
1256. #536C2×D73semidirect
1273. #534C2×D73semidirect
1313. #529C2×D73semidirect
1315. C2×#124C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243542
#226243462
#226243412
#226243352
#226243272
#226243132
#226242962
#226242882
#226242832
#226242692
#226242582
#226242402
#226242322
#226240722
#226240712
#226240682
#226235562
#226235342
#226234862
#226234152
#226233512
#226233502
#226232632
#226232572
#226232252
C2×#179891362
C73×#35452
#6275973