Finite Group Databasebeta

← #33993803

Subgroups — #33993803

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#22624356C212yesmaximal, complemented
2#22624350C212yesmaximal, complemented
3#22624341C211yesmaximal, characteristic, complemented
4#22624335C211yesmaximal, characteristic, complemented
5#22624327C212yesmaximal, complemented
6#22624311C214yesmaximal, complemented
7#22624294C214yesmaximal, complemented
8#22624289C211yesmaximal, characteristic, complemented
9#22624286C211yesmaximal, characteristic, complemented
10#22624281C212yesmaximal, complemented
11#22624270C212yesmaximal, complemented
12#22624259C212yesmaximal, complemented
13#22624244C214yesmaximal, complemented
14#22624236C214yesmaximal, complemented
15#22624070C212yesmaximal, complemented
16#22624067C211yesmaximal, characteristic, complemented
17#22623555C212yesmaximal, complemented
18#22623533C212yesmaximal, complemented
19#22623483C214yesmaximal, complemented
20#22623414C214yesmaximal, complemented
21#22623352C214yesmaximal, complemented
22#22623349C214yesmaximal, complemented
23#22623261C212yesmaximal, complemented
24#22623258C212yesmaximal, complemented
25#22623225C212yesmaximal, complemented
26#532×D73C211yesmaximal, characteristic, complemented
27C73×#3529C211yesmaximal, characteristic, complemented
28C22×#11924028C2212yescomplemented
29C2×#41×D73C2211yescharacteristic, complemented
30C2×#41×D73C2212yescomplemented
31C2×#41×D73C2211yescharacteristic, complemented
32#17989341C2212yescomplemented
33#17989339C2214yescomplemented
34#17989337C2211yescharacteristic, complemented
35#17989336C2212yescomplemented
36#17989335C2212yescomplemented
37#17989334C2214yescomplemented
38#17989333C2214yescomplemented
39#17989332C2214yescomplemented
40#17989331C2212yescomplemented
41#17989331C2212yescomplemented
42#17989329C2212yescomplemented
43#17989329C2211yescharacteristic, complemented
44#17989328C2214yescomplemented
45#17989327C2214yescomplemented
46#17989325C2214yescomplemented
47#17989325C2214yescomplemented
48#17989324C2212yescomplemented
49#17989321C2212yescomplemented
50#17989317C2212yescomplemented
51#17989304C2214yescomplemented
52#17989303C2212yescomplemented
53#17989301C2214yescomplemented
54#17989301C2214yescomplemented
55#17989299C2212yescomplemented
56#17989299C2212yescomplemented
57#17989299C2214yescomplemented
58#17989299C2214yescomplemented
59#17989291C2214yescomplemented
60#17989291C2214yescomplemented
61#17989288C2214yescomplemented
62#17989282C2214yescomplemented
63#17989280C2214yescomplemented
64#17989280C2214yescomplemented
65#17989274C2214yescomplemented
66#17989273C2214yescomplemented
67#17989269C2214yescomplemented
68#17989269C2214yescomplemented
69#17989268C2212yescomplemented
70#17989267C2214yescomplemented
71#17989265C2212yescomplemented
72#17989264C2214yescomplemented
73#17989264C2214yescomplemented
74#17989262C2214yescomplemented
75#17989260C2214yescomplemented
76#17989257C2214yescomplemented
77#17989255C2214yescomplemented
78#17989255C2214yescomplemented
79#17989255C2214yescomplemented
80#17989250C2214yescomplemented
81#17989247C2214yescomplemented
82#17989243C2214yescomplemented
83#17989239C2214yescomplemented
84#17989235C2214yescomplemented
85#17989235C2214yescomplemented
86#17989235C2214yescomplemented
87#17989234C2214yescomplemented
88#17989229C2214yescomplemented
89#17989229C2214yescomplemented
90#17989229C2214yescomplemented
91#17989228C2214yescomplemented
92#17989226C2214yescomplemented
93#17989226C2214yescomplemented
94#17989224C2214yescomplemented
95#17989224C2214yescomplemented
96#17989224C2214yescomplemented
97#17989221C2214yescomplemented
98#17989219C2212yescomplemented
99#17989219C2214yescomplemented
100#17989219C2214yescomplemented
101#17989217C2214yescomplemented
102#17989216C2214yescomplemented
103#17989210C2214yescomplemented
104#17989207C2214yescomplemented
105#17989207C2214yescomplemented
106#17989206C2214yescomplemented
107#17989205C2214yescomplemented
108#17989205C2214yescomplemented
109#17989203C2214yescomplemented
110#17989203C2214yescomplemented
111#17989193C2214yescomplemented
112#17989190C2214yescomplemented
113#17989189C2214yescomplemented
114#17989189C2214yescomplemented
115#17989189C2214yescomplemented
116#17989189C2214yescomplemented
117#17989187C2214yescomplemented
118#17989187C2214yescomplemented
119#17989177C2214yescomplemented
120#17989176C2214yescomplemented
121#17989176C2214yescomplemented
122#17989174C2214yescomplemented
123#17989173C2214yescomplemented
124#17989173C2214yescomplemented
125#17989172C2214yescomplemented
126#17989172C2214yescomplemented
127#17989167C2214yescomplemented
128#17989167C2214yescomplemented
129#17989166C2214yescomplemented
130#17989164C2214yescomplemented
131#17989164C2214yescomplemented
132#17989164C2214yescomplemented
133#17989162C2212yescomplemented
134#17989162C2212yescomplemented
135#17989160C2214yescomplemented
136#17989159C2212yescomplemented
137#17989159C2212yescomplemented
138#17989157C2212yescomplemented
139#17989157C2212yescomplemented
140#17989155C2212yescomplemented
141#17989155C2212yescomplemented
142#17989155C2214yescomplemented
143#17989153C2214yescomplemented
144#17989153C2214yescomplemented
145#17989152C2214yescomplemented
146#17989152C2212yescomplemented
147#17989152C2212yescomplemented
148#17989152C2214yescomplemented
149#17989150C2212yescomplemented
150#17989150C2212yescomplemented
151#17989148C2212yescomplemented
152#17989148C2212yescomplemented
153#17989147C2212yescomplemented
154#17989147C2212yescomplemented
155#17989145C2214yescomplemented
156#17989145C2214yescomplemented
157#17989143C2212yescomplemented
158#17989141C2212yescomplemented
159#17989139C2212yescomplemented
160#17989138C2211yescharacteristic, complemented
161#17989137C2212yescomplemented
162#17989137C2211yescharacteristic, complemented
163#17989136C2211yescharacteristic
164#17989136C2211yescharacteristic, complemented
165#17989136C2212yescomplemented
166#17989135C2211yescharacteristic, complemented
167#17989134C2212yes—
168#17989134C2214yescomplemented
169#17989134C2214yescomplemented
170#17989134C2214yescomplemented
171#17989134C2214yescomplemented
172#17989133C2211yescharacteristic
173#17989133C2212yescomplemented
174#17989133C2212yescomplemented
175#17989133C2211yescharacteristic, complemented
176#17989133C2214yescomplemented
177#17989132C2212yescomplemented
178#17989132C2214yescomplemented
179C4⋊Q8×D73C2211yescharacteristic, complemented
180#127×D73C2211yescharacteristic
181#17989124C2214yescomplemented
182#17989122C2212yescomplemented
183#17989121C2212yescomplemented
184#17989120C2214yescomplemented
185#17989120C2214yescomplemented
186#17989117C2214yescomplemented
187#17989117C2214yescomplemented
188#17989116C2212yescomplemented
189#17989115C2214yescomplemented
190#17989115C2214yescomplemented
191#17989115C2214yescomplemented
192#17989114C2214yescomplemented
193#124×D73C2211yescharacteristic, complemented
194#124×D73C2211yescharacteristic, complemented
195#17989100C2212yescomplemented
196#17989099C2212yescomplemented
197#17989099C2214yescomplemented
198#17989098C2212yescomplemented
199#17989097C2212yescomplemented
200#17989096C2214yescomplemented
201#17989096C2214yescomplemented
202#17989096C2214yescomplemented
203#17989096C2214yescomplemented
204#17989096C2214yescomplemented
205#17989096C2214yescomplemented
206#17989096C2214yescomplemented
207#17989095C2214yescomplemented
208#17989094C2212yescomplemented
209#121×D73C2214yescomplemented
210C4×#11924029C2212yescomplemented
211C4×#11924028C2214yescomplemented
212#17989055C2214yescomplemented
213C4×#11924027C2214yescomplemented
214C4×#11924027C2214yescomplemented
215C4×#11924027C2212yescomplemented
216C2×C4×C22⋊D73C2214yescomplemented
217C4×D4×D73C2214yescomplemented
218C4×D4×D73C2214yescomplemented
219C2×#14556548C2212yescomplemented
220#117×D73C2212yescomplemented
221C2×C42×D73C2211yescharacteristic, complemented
222#563×C73C2212yescomplemented
223#563×C73C2211yescharacteristic, complemented
224#562×C73C2212yescomplemented
225#562×C73C2214yescomplemented
226H(3,𝔽4)×C73C2211yescharacteristic, complemented
227#560×C73C2212yescomplemented
228#560×C73C2214yescomplemented
229#532×C73C2212yescomplemented
230#532×C73C2211yescharacteristic, complemented
231#529×C73C2212yescomplemented
232#529×C73C2214yescomplemented
233#525×C73C2212yescomplemented
234#525×C73C2214yescomplemented
235C2×#11924029C2311yescharacteristic
236C2×#11924029C2311yescharacteristic
237C2×#11924029C2312yes—
238C2×#11924029C2312yes—
239C2×#11924028—48no—
240C2×#11924028C2314yes—
241C2×#11924028C2311yescharacteristic
242C2×#11924028C2311yescharacteristic
243C2×#11924028C2314yes—
244C2×#11924028C2312yes—
245C2×#11924028C2312yes—
246C2×#11924028C2312yes—
247C2×#11924028C2314yes—
248C2×#11924028C2314yes—
249C2×#11924028C2314yes—
250C2×#11924027C2312yes—
251C2×#11924027C2312yes—
252C2×#11924027C2314yes—
253C2×#11924027C2311yescharacteristic
254C2×#11924027C2311yescharacteristic
255C2×#11924027C2312yes—
256C2×#11924027C2312yes—
257C2×#11924027C2314yes—
258C2×#11924027C2314yes—
259#41×D73—44no—
260#41×D73—44no—
261#41×D73—48no—
262C22×Dic146C2312yes—
263C2×Q8×D73C2311yescharacteristic
264C2×Q8×D73C2311yescharacteristic
265C2×Q8×D73C2312yes—
266C22×D292C2312yes—
267C22×C22⋊D73C2312yes—
268C22×C22⋊D73C2312yes—
269C22×C22⋊D73C2314yes—
270C2×D4×D73C2311yescharacteristic
271C2×D4×D73C2311yescharacteristic
272C2×D4×D73C2314yes—
273C2×D4×D73C2312yes—
274C2×D4×D73C2314yes—
275C2×D4×D73C2312yes—
276C2×D4×D73C2312yes—
277C2×D4×D73C2314yes—
278C22×C4×D73C2311yescharacteristic
279C22×C4×D73C2312yes—
280C22×C4×D73C2312yes—
281C22×C4×D73C2314yes—
282C22×C4×D73C2312yes—
283C22×C4×D73C2312yes—
284#14556591C2311yescharacteristic
285#14556591C2312yes—
286#14556590C2314yes—
287#14556590C2312yes—
288#14556590C2312yes—
289#14556590C2314yes—
290#14556590C2314yes—
291#14556590C2314yes—
292#14556589C2311yescharacteristic
293#14556589C2311yescharacteristic
294#14556589C2312yes—
295#14556589C2312yes—
296#14556589C2314yes—
297#14556589C2312yes—
298#14556588C2311yescharacteristic
299#14556588C2312yes—
300#14556587C2314yes—
301#14556587C2311yescharacteristic
302#14556587C2311yescharacteristic
303#14556587C2312yes—
304#14556587C2312yes—
305#14556587C2312yes—
306#14556587C2314yes—
307#14556587C2314yes—
308#14556587C2314yes—
309#14556587C2314yes—
310#14556586C2314yes—
311#14556586C2314yes—
312#14556586C2314yes—
313#14556586C2314yes—
314#14556586C2314yes—
315#14556586C2314yes—
316#14556586C2314yes—
317#14556585C2314yes—
318#14556584C2314yes—
319#14556584C2314yes—
320#14556584C2314yes—
321#14556584C2314yes—
322#14556584C2314yes—
323#14556583C2312yes—
324#14556582C2314yes—
325#14556581C2314yes—
326#14556581C2314yes—
327#14556581C2314yes—
328#14556581C2314yes—
329#14556581C2314yes—
330#14556581C2314yes—
331#14556580C2314yes—
332#14556580C2311yescharacteristic
333#14556580C2311yescharacteristic
334#14556580C2312yes—
335#14556580C2312yes—
336#14556580C2314yes—
337#14556579C2312yes—
338#14556579C2311yescharacteristic
339#14556579C2311yescharacteristic
340#14556579C2312yes—
341#14556579C2312yes—
342#14556578C2311yescharacteristic
343#14556578C2311yescharacteristic
344#14556578C2312yes—
345#14556578C2312yes—
346#14556578C2314yes—
347#14556577C2314yes—
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#14556577C2314yes—
361#14556576C2314yes—
362#14556576C2314yes—
363#14556576C2314yes—
364#14556576C2314yes—
365#14556576C2314yes—
366#14556576C2314yes—
367#14556576C2314yes—
368#14556576C2314yes—
369#14556576C2314yes—
370#14556576C2314yes—
371#14556576C2314yes—
372#14556576C2314yes—
373#14556575C2312yes—
374#14556575C2312yes—
375#14556575C2314yes—
376#14556575C2314yes—
377#14556575C2314yes—
378#14556575C2314yes—
379#14556574C2314yes—
380#14556574C2312yes—
381#14556574C2312yes—
382#14556573C2314yes—
383#14556573C2314yes—
384#14556573C2314yes—
385#14556573C2314yes—
386#14556573C2314yes—
387#14556573C2314yes—
388#14556573C2314yes—
389#14556573C2314yes—
390#14556573C2314yes—
391#14556573C2314yes—
392#14556572C2312yes—
393#14556572C2312yes—
394#14556572C2314yes—
395#14556572C2314yes—
396#14556571C2312yes—
397#14556571C2314yes—
398#14556571C2314yes—
399#14556571C2314yes—
400#14556570C2312yes—
401#14556570C2314yes—
402#14556569C2314yes—
403#14556569C2314yes—
404#14556569C2314yes—
405#14556569C2314yes—
406#14556569C2314yes—
407#14556569C2314yes—
408#14556569C2314yes—
409#14556569C2314yes—
410#14556569C2314yes—
411#14556569C2314yes—
412#14556569C2314yes—
413#14556568C2314yes—
414#14556568C2314yes—
415#14556568C2314yes—
416#14556568C2314yes—
417#14556568C2314yes—
418#14556568C2314yes—
419#14556568C2314yes—
420#14556568C2314yes—
421#14556568C2314yes—
422#14556567C2314yes—
423#14556567C2312yes—
424#14556567C2314yes—
425#14556566C2312yes—
426#14556566C2314yes—
427#14556566C2314yes—
428#14556566C2314yes—
429#14556566C2314yes—
430#14556566C2314yes—
431#14556566C2314yes—
432#14556566C2314yes—
433#14556566C2314yes—
434#14556565C2312yes—
435#14556565C2314yes—
436#14556565C2314yes—
437#14556565C2314yes—
438#14556565C2314yes—
439#14556564C2314yes—
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#14556563C2314yes—
459#14556563C2314yes—
460#14556563C2314yes—
461#14556563C2314yes—
462#14556563C2314yes—
463#14556563C2314yes—
464#14556563C2314yes—
465#14556563C2314yes—
466#14556563C2314yes—
467#14556563C2314yes—
468#14556563C2314yes—
469#14556563C2314yes—
470#14556563C2314yes—
471#14556563C2314yes—
472#14556563C2314yes—
473#14556563C2314yes—
474#14556563C2314yes—
475#14556563C2314yes—
476#14556563C2314yes—
477#14556562C2312yes—
478#14556562C2314yes—
479#14556562C2314yes—
480#14556562C2314yes—
481#14556562C2314yes—
482#14556562C2314yes—
483#14556561C2314yes—
484#14556561C2314yes—
485#14556561C2314yes—
486#14556561C2314yes—
487#14556561C2312yes—
488#14556561C2312yes—
489#14556561C2314yes—
490#14556561C2314yes—
491#14556561C2314yes—
492#14556561C2314yes—
493#14556561C2314yes—
494#14556560C2312yes—
495#14556560C2312yes—
496#14556559C2314yes—
497#14556559C2314yes—
498#14556559C2314yes—
499#14556559C2314yes—
500#14556559C2314yes—
501#14556559C2312yes—
502#14556559C2312yes—
503#14556559C2314yes—
504#14556559C2314yes—
505Q8×Dic73C2312yes—
506C4×Dic146C2312yes—
507C4×Dic146C2314yes—
508C4×Dic146C2314yes—
509#14556556C2314yes—
510#14556556C2314yes—
511#14556556C2312yes—
512#14556556C2314yes—
513#14556556C2314yes—
514C4×D292C2312yes—
515C4×D292C2314yes—
516C4×D292C2314yes—
517C4×D292C2314yes—
518C4×D292C2314yes—
519C4×D292C2314yes—
520D4×Dic73C2314yes—
521D4×Dic73C2312yes—
522D4×Dic73C2314yes—
523D4×Dic73C2314yes—
524D4×Dic73C2314yes—
525#14556553C2314yes—
526#14556553C2314yes—
527#14556553C2312yes—
528#14556553C2314yes—
529#14556553C2314yes—
530#14556553C2314yes—
531C4×C22⋊D73C2314yes—
532C4×C22⋊D73C2314yes—
533C4×C22⋊D73C2314yes—
534C4×C22⋊D73C2314yes—
535C4×C22⋊D73C2314yes—
536C4×C22⋊D73C2314yes—
537C4×C22⋊D73C2314yes—
538C4×C22⋊D73C2314yes—
539C4×C22⋊D73C2314yes—
540C4×C22⋊D73C2314yes—
541C4×C22⋊D73C2314yes—
542C4×C22⋊D73C2314yes—
543C4×C22⋊D73C2314yes—
544C4×C22⋊D73C2314yes—
545C4×C22⋊D73C2314yes—
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#14556550C2314yes—
560#14556550C2312yes—
561#14556549C2314yes—
562#14556549C2314yes—
563#14556549C2312yes—
564#14556549C2312yes—
565#14556549C2314yes—
566#14556549C2314yes—
567#14556548C2314yes—
568#14556548C2314yes—
569#14556548C2314yes—
570#14556548C2312yes—
571#14556548C2312yes—
572#14556548C2312yes—
573#14556548C2312yes—
574#14556548C2314yes—
575#14556548C2314yes—
576#14556547C2314yes—
577#14556547C2314yes—
578#14556547C2314yes—
579#14556547C2312yes—
580#14556547C2312yes—
581#14556547C2314yes—
582#14556547C2314yes—
583C2×#11924007C2314yes—
584C2×#11924007C2314yes—
585C4⋊C4×D73C2314yes—
586C4⋊C4×D73C2314yes—
587C4⋊C4×D73C2314yes—
588C2×C22⋊Dic73C2314yes—
589C2×#11924005C2314yes—
590C2×#11924005C2314yes—
591C22⋊C4×D73C2312yes—
592C22⋊C4×D73C2312yes—
593C22⋊C4×D73C2314yes—
594C22⋊C4×D73C2314yes—
595C22⋊C4×D73C2314yes—
596C22⋊C4×D73C2314yes—
597C2×C4×Dic73C2312yes—
598C2×C4×Dic73C2311yescharacteristic
599C2×C4×Dic73C2312yes—
600C2×C4×Dic73C2314yes—
601C42×D73C2311yescharacteristic
602C42×D73C2311yescharacteristic
603C42×D73C2311yescharacteristic
604C42×D73C2314yes—
605C42×D73C2312yes—
606C42×D73C2312yes—
607C42×D73C2314yes—
608C42×D73C2311yescharacteristic
609C2×#41×C73C2311yescharacteristic
610C2×#41×C73C2312yes—
611C2×#41×C73C2311yescharacteristic
612C23×C4×C73C2312yes—
613C4⋊Q8×C73C2311yescharacteristic
614C4⋊Q8×C73C2312yes—
615#127×C73C2311yescharacteristic
616#127×C73C2312yes—
617#126×C73C2314yes—
618#126×C73C2314yes—
619#126×C73C2314yes—
620#125×C73C2312yes—
621#125×C73C2314yes—
622#124×C73C2311yescharacteristic
623#124×C73C2312yes—
624#124×C73C2311yescharacteristic
625#124×C73C2312yes—
626#124×C73C2312yes—
627#124×C73C2314yes—
628#123×C73C2312yes—
629#123×C73C2312yes—
630#123×C73C2314yes—
631#123×C73C2314yes—
632#123×C73C2314yes—
633#123×C73C2314yes—
634#123×C73C2314yes—
635C22⋊Q8×C73C2312yes—
636C22⋊Q8×C73C2314yes—
637C22⋊Q8×C73C2314yes—
638C22⋊Q8×C73C2314yes—
639C22⋊Q8×C73C2314yes—
640#121×C73C2312yes—
641#121×C73C2314yes—
642#121×C73C2314yes—
643#121×C73C2314yes—
644#121×C73C2314yes—
645#121×C73C2314yes—
646#121×C73C2314yes—
647#121×C73C2314yes—
648#120×C73C2312yes—
649#120×C73C2312yes—
650#120×C73C2314yes—
651#120×C73C2314yes—
652C4×Q8×C73C2312yes—
653C4×D4×C73C2312yes—
654C4×D4×C73C2314yes—
655C4×D4×C73C2314yes—
656C4×D4×C73C2314yes—
657C4×D4×C73C2314yes—
658#117×C73C2312yes—
659#117×C73C2314yes—
660C2×C42×C73C2311yescharacteristic
661C2×C42×C73C2312yes—
662C23×D73C2412yes—
663C23×D73C2412yes—
664C23×D73C2411yescharacteristic
665C23×D73C2412yes—
666C23×D73C2414yes—
667#11924029—42no—
668#11924029—42no—
669#11924029—44no—
670#11924029—44no—
671#11924028—216no—
672#11924028—48no—
673#11924028—48no—
674#11924028—42no—
675#11924028—44no—
676#11924028—44no—
677#11924028—42no—
678#11924028—44no—
679#11924028—48no—
680#11924028—48no—
681#11924027—48no—
682#11924027—48no—
683#11924027—48no—
684#11924027—44no—
685#11924027—42no—
686#11924027—42no—
687#11924027—44no—
688#11924027—44no—
689#11924027—44no—
690C2×Dic146—44no—
691C2×Dic146C2414yes—
692C2×Dic146C2414yes—
693C2×Dic146C2412yes—
694C2×Dic146C2411yescharacteristic
695C2×Dic146C2412yes—
696C2×Dic146C2412yes—
697C2×Dic146C2414yes—
698C2×Dic146C2412yes—
699C2×Dic146C2411yescharacteristic
700Q8×D73—44no—
701Q8×D73—42no—
702Q8×D73—42no—
703C2×D292—44no—
704C2×D292C2414yes—
705C2×D292C2412yes—
706C2×D292C2414yes—
707C2×D292C2414yes—
708C2×D292C2414yes—
709C2×D292C2414yes—
710C2×D292C2411yescharacteristic
711C2×D292C2412yes—
712C2×D292C2412yes—
713C2×D292C2414yes—
714C2×D292C2412yes—
715C2×D292C2411yescharacteristic
716C2×C22⋊D73—48no—
717C2×C22⋊D73—44no—
718C2×C22⋊D73—44no—
719C2×C22⋊D73C2414yes—
720C2×C22⋊D73C2414yes—
721C2×C22⋊D73C2414yes—
722C2×C22⋊D73C2414yes—
723C2×C22⋊D73C2414yes—
724C2×C22⋊D73C2414yes—
725C2×C22⋊D73C2414yes—
726C2×C22⋊D73C2414yes—
727C2×C22⋊D73C2414yes—
728C2×C22⋊D73C2414yes—
729C2×C22⋊D73C2414yes—
730C2×C22⋊D73C2412yes—
731C2×C22⋊D73C2412yes—
732C2×C22⋊D73C2414yes—
733C2×C22⋊D73C2414yes—
734C2×C22⋊D73C2412yes—
735C2×C22⋊D73C2412yes—
736C2×C22⋊D73C2414yes—
737C2×C22⋊D73C2412yes—
738C2×C22⋊D73C2412yes—
739D4×D73—48no—
740D4×D73—48no—
741D4×D73—44no—
742D4×D73—42no—
743D4×D73—42no—
744D4×D73—44no—
745D4×D73—44no—
746D4×D73—48no—
747C22×Dic73C2412yes—
748C22×Dic73C2411yescharacteristic
749C22×Dic73C2414yes—
750C22×Dic73C2412yes—
751C22×Dic73C2412yes—
752C22×Dic73C2414yes—
753C22×Dic73C2414yes—
754C22×Dic73C2414yes—
755C22×Dic73C2412yes—
756C2×C4×D73—24no—
757C2×C4×D73—28no—
758C2×C4×D73—28no—
759C2×C4×D73—44no—
760C2×C4×D73—48no—
761C2×C4×D73—44no—
762C2×C4×D73C2412yes—
763C2×C4×D73C2412yes—
764C2×C4×D73C2412yes—
765C2×C4×D73C2411yescharacteristic
766C2×C4×D73C2411yescharacteristic
767C2×C4×D73C2411yescharacteristic
768C2×C4×D73C2414yes—
769C2×C4×D73C2414yes—
770C2×C4×D73C2412yes—
771C2×C4×D73C2412yes—
772C2×C4×D73C2412yes—
773C2×C4×D73C2412yes—
774C2×C4×D73C2412yes—
775C2×C4×D73C2412yes—
776C2×C4×D73C2412yes—
777C2×C4×D73C2414yes—
778C2×C4×D73C2414yes—
779C2×C4×D73C2414yes—
780C2×C4×D73C2414yes—
781C2×C4×D73C2414yes—
782C2×C4×D73C2414yes—
783C2×C4×D73C2411yescharacteristic
784C4⋊Dic73C2414yes—
785C4⋊Dic73C2414yes—
786C4⋊Dic73C2414yes—
787C4⋊Dic73C2414yes—
788C4⋊Dic73C2412yes—
789C4⋊Dic73C2414yes—
790C4⋊Dic73C2412yes—
791C4⋊Dic73C2414yes—
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—
810C22⋊Dic73C2414yes—
811C22⋊Dic73C2414yes—
812C22⋊Dic73C2414yes—
813C22⋊Dic73C2412yes—
814C22⋊Dic73C2412yes—
815C22⋊Dic73C2414yes—
816C22⋊Dic73C2414yes—
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×Dic73C2411yescharacteristic
847C4×Dic73C2412yes—
848C4×Dic73C2412yes—
849C4×Dic73C2411yescharacteristic
850C4×Dic73C2412yes—
851C4×Dic73C2412yes—
852C4×Dic73C2414yes—
853C4×Dic73C2414yes—
854C4×Dic73C2414yes—
855C4×Dic73C2414yes—
856C4×Dic73C2414yes—
857C4×Dic73C2412yes—
858C4×Dic73C2414yes—
859C4×Dic73C2414yes—
860C4×Dic73C2412yes—
861C24×C73C2412yes—
862#41×C73—42no—
863#41×C73—44no—
864#41×C73—42no—
865C2×Q8×C73C2412yes—
866C2×Q8×C73C2411yescharacteristic
867C2×Q8×C73C2412yes—
868C2×Q8×C73C2411yescharacteristic
869C2×D4×C73C2412yes—
870C2×D4×C73C2414yes—
871C2×D4×C73C2414yes—
872C2×D4×C73C2414yes—
873C2×D4×C73C2414yes—
874C2×D4×C73C2411yescharacteristic
875C2×D4×C73C2412yes—
876C2×D4×C73C2412yes—
877C2×D4×C73C2414yes—
878C2×D4×C73C2412yes—
879C2×D4×C73C2411yescharacteristic
880C22×C4×C73—44no—
881C22×C4×C73C2411yescharacteristic
882C22×C4×C73C2412yes—
883C22×C4×C73C2414yes—
884C22×C4×C73C2412yes—
885C22×C4×C73C2412yes—
886C22×C4×C73C2414yes—
887C22×C4×C73C2414yes—
888C22×C4×C73C2412yes—
889C4⋊C4×C73C2414yes—
890C4⋊C4×C73C2414yes—
891C4⋊C4×C73C2414yes—
892C4⋊C4×C73C2414yes—
893C4⋊C4×C73C2414yes—
894C4⋊C4×C73C2414yes—
895C4⋊C4×C73C2414yes—
896C4⋊C4×C73C2412yes—
897C4⋊C4×C73C2414yes—
898C4⋊C4×C73C2412yes—
899C22⋊C4×C73C2412yes—
900C22⋊C4×C73C2414yes—
901C22⋊C4×C73C2412yes—
902C22⋊C4×C73C2414yes—
903C22⋊C4×C73C2414yes—
904C22⋊C4×C73C2414yes—
905C22⋊C4×C73C2414yes—
906C22⋊C4×C73C2414yes—
907C22⋊C4×C73C2414yes—
908C22⋊C4×C73C2414yes—
909C22⋊C4×C73C2414yes—
910C22⋊C4×C73C2414yes—
911C22⋊C4×C73C2414yes—
912C42×C73C2412yes—
913C42×C73C2414yes—
914C42×C73C2411yescharacteristic
915C42×C73C2412yes—
916C42×C73C2411yescharacteristic
917C42×C73C2412yes—
918C23×C73—42no—
919C23×C73—44no—
920C23×C73C2512yes—
921C23×C73C2514yes—
922C23×C73C2511yescharacteristic
923C23×C73C2512yes—
924C22×D73—22no—
925C22×D73—24no—
926C22×D73—24no—
927C22×D73—42no—
928C22×D73—44no—
929C22×D73—42no—
930C22×D73—44no—
931C22×D73—44no—
932C22×D73—44no—
933C22×D73—44no—
934C22×D73—44no—
935C22×D73C2512yes—
936C22×D73C2514yes—
937C22×D73C2511yescharacteristic
938C22×D73C2512yes—
939C22×D73C2511yescharacteristic
940Q8×C73—42no—
941Q8×C73—41no—
942Q8×C73—41no—
943Q8×C73—42no—
944D4×C73—44no—
945D4×C73—41no—
946D4×C73—41no—
947D4×C73—42no—
948D4×C73—42no—
949D4×C73—42no—
950D4×C73—44no—
951D4×C73—44no—
952D4×C73—44no—
953D4×C73—44no—
954D4×C73—42no—
955C2×C4×C73—24no—
956C2×C4×C73—28no—
957C2×C4×C73—22no—
958C2×C4×C73—24no—
959C2×C4×C73—42no—
960C2×C4×C73—44no—
961C2×C4×C73—42no—
962C2×C4×C73—44no—
963C2×C4×C73C2512yes—
964C2×C4×C73C2514yes—
965C2×C4×C73C2514yes—
966C2×C4×C73C2512yes—
967C2×C4×C73C2511yescharacteristic
968C2×C4×C73C2512yes—
969C2×C4×C73C2514yes—
970C2×C4×C73C2512yes—
971C2×C4×C73C2511yescharacteristic
972C22⋊D73—28no—
973C22⋊D73—28no—
974C22⋊D73—28no—
975C22⋊D73—28no—
976C22⋊D73—28no—
977C22⋊D73—44no—
978C22⋊D73—42no—
979C22⋊D73—42no—
980C22⋊D73—42no—
981C22⋊D73—42no—
982C22⋊D73—42no—
983C22⋊D73—42no—
984C22⋊D73—44no—
985C22⋊D73—44no—
986C22⋊D73—44no—
987C22⋊D73—44no—
988C22⋊D73—44no—
989C22⋊D73—44no—
990C22⋊D73—44no—
991C22⋊D73—44no—
992C2×Dic73—24no—
993C2×Dic73—22no—
994C2×Dic73—24no—
995C2×Dic73—24no—
996C2×Dic73—28no—
997C2×Dic73—42no—
998C2×Dic73—44no—
999C2×Dic73—44no—
1000C2×Dic73—44no—
1001C2×Dic73C2512yes—
1002C2×Dic73C2514yes—
1003C2×Dic73C2514yes—
1004C2×Dic73C2511yescharacteristic
1005C2×Dic73C2512yes—
1006C2×Dic73C2514yes—
1007C2×Dic73C2512yes—
1008C2×Dic73C2511yescharacteristic
1009C2×Dic73C2512yes—
1010D292—28no—
1011D292—44no—
1012D292—44no—
1013D292—41no—
1014D292—42no—
1015D292—41no—
1016D292—42no—
1017D292—42no—
1018D292—44no—
1019D292—44no—
1020D292—42no—
1021D292—44no—
1022C4×D73—22no—
1023C4×D73—24no—
1024C4×D73—24no—
1025C4×D73—24no—
1026C4×D73—22no—
1027C4×D73—24no—
1028C4×D73—28no—
1029C4×D73—24no—
1030C4×D73—22no—
1031C4×D73—24no—
1032C4×D73—24no—
1033C4×D73—24no—
1034C4×D73—28no—
1035C4×D73—42no—
1036C4×D73—42no—
1037C4×D73—44no—
1038C4×D73—44no—
1039C4×D73—44no—
1040C4×D73—44no—
1041C4×D73—44no—
1042C4×D73—44no—
1043C4×D73H(5,𝔽2)14yes—
1044Dic146—28no—
1045Dic146—28no—
1046Dic146—42no—
1047Dic146—41no—
1048Dic146—42no—
1049Dic146—42no—
1050Dic146—41no—
1051Dic146—44no—
1052Dic146—42no—
1053C22×C73—22no—
1054C22×C73—21no—
1055C22×C73—22no—
1056C22×C73—24no—
1057C22×C73—22no—
1058C22×C73—24no—
1059C22×C73—24no—
1060C22×C73—24no—
1061C22×C73—24no—
1062C22×C73—84no—
1063C22×C73C2611yescharacteristic
1064C2×D73—22no—
1065C2×D73—22no—
1066C2×D73—21no—
1067C2×D73—22no—
1068C2×D73—24no—
1069C2×D73—22no—
1070C2×D73—24no—
1071C2×D73—24no—
1072C2×D73—24no—
1073C2×D73—24no—
1074C2×D73—44no—
1075C2×D73—84no—
1076C2×D73—84no—
1077C2×D73—84no—
1078C2×D73—88no—
1079C2×D73C2×H(5,𝔽2)12yes—
1080C4×C73—24no—
1081C4×C73—21no—
1082C4×C73—22no—
1083C4×C73—22no—
1084C4×C73—24no—
1085C4×C73—22no—
1086C4×C73—22no—
1087C4×C73—24no—
1088C4×C73C2×H(5,𝔽2)12yes—
1089Dic73—24no—
1090Dic73—21no—
1091Dic73—22no—
1092Dic73—22no—
1093Dic73—24no—
1094Dic73—24no—
1095Dic73—22no—
1096Dic73C2×H(5,𝔽2)12yes—
1097Dic73#58514yes—
1098#62759—731nomaximal, Sylow
1099C2×C73—41no—
1100C2×C73—42no—
1101C2×C73—42no—
1102C2×C73—44no—
1103C2×C73C22×H(5,𝔽2)11yescharacteristic
1104C2×C73C2×#58512yes—
1105D73—22no—
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—731no—
1118#3545—732no—
1119#3545—731no—
1120#3544—732no—
1121#3543—732no—
1122#3542—734no—
1123#3542—734no—
1124#3529—731no—
1125#3529—732no—
1126#3529D7311yescharacteristic, complemented
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—731no—
1139C22×#41—731no—
1140C22×#41—732no—
1141C22×#41—732no—
1142#563—732no—
1143#563—734no—
1144#563—732no—
1145#563—731no—
1146#563C2×D7312yescomplemented
1147#563C2×D7311yescharacteristic, complemented
1148#562—732no—
1149#562—732no—
1150#562—732no—
1151#562—734no—
1152#562—734no—
1153#562—734no—
1154#562C2×D7314yescomplemented
1155#562C2×D7312yescomplemented
1156H(3,𝔽4)—731no—
1157H(3,𝔽4)—732no—
1158H(3,𝔽4)C2×D7311yescharacteristic, complemented
1159#560—732no—
1160#560—734no—
1161#560—734no—
1162#560—734no—
1163#560—734no—
1164#560C2×D7314yescomplemented
1165#560C2×D7312yescomplemented
1166#559—732no—
1167Q82—732no—
1168#556—734no—
1169#555—732no—
1170#555—734no—
1171#555—734no—
1172#555—732no—
1173#555—732no—
1174#555—734no—
1175#555—734no—
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—734no—
1187#551—734no—
1188#551—734no—
1189#551—732no—
1190#551—734no—
1191#551—734no—
1192#551—732no—
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#546—734no—
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#542—734no—
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#538—734no—
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—732no—
1254#536—732no—
1255#536—732no—
1256#536—734no—
1257#535—732no—
1258#535—732no—
1259#535—732no—
1260#535—732no—
1261#535—734no—
1262#535—734no—
1263#535—734no—
1264#535—732no—
1265#535—732no—
1266#535—734no—
1267#535—734no—
1268#534—732no—
1269#534—732no—
1270#534—734no—
1271#534—734no—
1272#534—732no—
1273#534—732no—
1274#533—732no—
1275#533—732no—
1276#533—732no—
1277#532—731no—
1278#532—731no—
1279#532—732no—
1280#532—732no—
1281#532—734no—
1282#532—731no—
1283#532—731no—
1284#532—731no—
1285#532—731no—
1286#532—732no—
1287#532—734no—
1288#532—732no—
1289#532—732no—
1290#532—734no—
1291#532—734no—
1292#532—734no—
1293#532—734no—
1294#532—731no—
1295#532—732no—
1296#532C2×D7311yescharacteristic, complemented
1297#532C2×D7312yescomplemented
1298C2×C4⋊Q8—731no—
1299C2×#127—731no—
1300#529—734no—
1301#529—734no—
1302#529—732no—
1303#529—732no—
1304#529—734no—
1305#529—734no—
1306#529—734no—
1307#529—734no—
1308#529—734no—
1309#529—734no—
1310#529—734no—
1311#529—732no—
1312#529C2×D7312yescomplemented
1313#529C2×D7314yescomplemented
1314C2×#124—731no—
1315C2×#124—731no—
1316#525—732no—
1317#525—732no—
1318#525—734no—
1319#525—732no—
1320#525—732no—
1321#525—734no—
1322#525—734no—
1323#525—734no—
1324#525—734no—
1325#525—734no—
1326#525—734no—
1327#525—734no—
1328#525—732no—
1329#525—734no—
1330#525C2×D7312yescomplemented
1331#525C2×D7314yescomplemented
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—731no—
1352C2×#41—732no—
1353C2×#41—732no—
1354C2×#41—734no—
1355C2×#41—734no—
1356C2×#41—731no—
1357C2×#41—732no—
1358C2×#41—732no—
1359C2×#41—731no—
1360C2×#41—732no—
1361C2×#41—734no—
1362C2×#41—734no—
1363C2×#41—731no—
1364C2×#41—732no—
1365C2×#41—734no—
1366C2×#41—732no—
1367C2×#41—732no—
1368C2×#41—731no—
1369C2×#41—734no—
1370C2×#41—734no—
1371C2×#41—734no—
1372C2×#41C22×D7311yescharacteristic
1373C2×#41C22×D7312yes—
1374C2×#41C22×D7311yescharacteristic
1375C22×Q8—731no—
1376C22×Q8—731no—
1377C22×Q8—732no—
1378C22×Q8—732no—
1379C22×D4—734no—
1380C22×D4—732no—
1381C22×D4—732no—
1382C22×D4—734no—
1383C22×D4—734no—
1384C22×D4—732no—
1385C22×D4—732no—
1386C22×D4—731no—
1387C22×D4—731no—
1388C22×D4—734no—
1389C22×D4—732no—
1390C22×D4—732no—
1391C23×C4—734no—
1392C23×C4—732no—
1393C23×C4—732no—
1394C23×C4—732no—
1395C23×C4—732no—
1396C23×C4—731no—
1397C23×C4C22×D7312yes—
1398C4⋊Q8—731no—
1399C4⋊Q8—731no—
1400C4⋊Q8—732no—
1401C4⋊Q8—732no—
1402C4⋊Q8—732no—
1403C4⋊Q8—734no—
1404C4⋊Q8—734no—
1405C4⋊Q8—732no—
1406C4⋊Q8—732no—
1407C4⋊Q8—734no—
1408C4⋊Q8—734no—
1409C4⋊Q8—734no—
1410C4⋊Q8—731no—
1411C4⋊Q8—732no—
1412C4⋊Q8C22×D7311yescharacteristic
1413C4⋊Q8C22×D7312yes—
1414#127—734no—
1415#127—731no—
1416#127—731no—
1417#127—732no—
1418#127—732no—
1419#127—734no—
1420#127—732no—
1421#127—734no—
1422#127—734no—
1423#127—734no—
1424#127—731no—
1425#127—732no—
1426#127C22×D7311yescharacteristic
1427#127C22×D7312yes—
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#125C22×D7312yes—
1453#125C22×D7314yes—
1454#124—731no—
1455#124—731no—
1456#124—734no—
1457#124—732no—
1458#124—732no—
1459#124—734no—
1460#124—731no—
1461#124—731no—
1462#124—732no—
1463#124—732no—
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—734no—
1473#124—734no—
1474#124—734no—
1475#124—734no—
1476#124—734no—
1477#124—734no—
1478#124—734no—
1479#124—731no—
1480#124—731no—
1481#124—732no—
1482#124—732no—
1483#124—732no—
1484#124C22×D7311yescharacteristic
1485#124C22×D7311yescharacteristic
1486#124C22×D7312yes—
1487#124C22×D7314yes—
1488#124C22×D7312yes—
1489#124C22×D7312yes—
1490#123—732no—
1491#123—732no—
1492#123—734no—
1493#123—734no—
1494#123—734no—
1495#123—732no—
1496#123—732no—
1497#123—734no—
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—732no—
1513#123—732no—
1514#123—734no—
1515#123—734no—
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×D7312yes—
1527#123C22×D7312yes—
1528#123C22×D7314yes—
1529#123C22×D7314yes—
1530#123C22×D7314yes—
1531#123C22×D7314yes—
1532C22⋊Q8—732no—
1533C22⋊Q8—734no—
1534C22⋊Q8—734no—
1535C22⋊Q8—732no—
1536C22⋊Q8—734no—
1537C22⋊Q8—734no—
1538C22⋊Q8—734no—
1539C22⋊Q8—734no—
1540C22⋊Q8—732no—
1541C22⋊Q8—734no—
1542C22⋊Q8—734no—
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—734no—
1568#121—734no—
1569#121—734no—
1570#121—732no—
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—734no—
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—732no—
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#121C22×D7314yes—
1625#121C22×D7312yes—
1626#121C22×D7314yes—
1627#121C22×D7314yes—
1628#121C22×D7314yes—
1629#121C22×D7314yes—
1630#121C22×D7314yes—
1631#121C22×D7314yes—
1632#120—732no—
1633#120—732no—
1634#120—734no—
1635#120—734no—
1636#120—734no—
1637#120—734no—
1638#120—732no—
1639#120—732no—
1640#120—734no—
1641#120—734no—
1642#120—734no—
1643#120—734no—
1644#120—734no—
1645#120—732no—
1646#120—732no—
1647#120—734no—
1648#120—734no—
1649#120—734no—
1650#120—734no—
1651#120—734no—
1652#120—734no—
1653#120—734no—
1654#120C22×D7312yes—
1655#120C22×D7312yes—
1656#120C22×D7314yes—
1657#120C22×D7314yes—
1658C4×Q8—732no—
1659C4×Q8—732no—
1660C4×Q8—734no—
1661C4×Q8—734no—
1662C4×Q8—734no—
1663C4×Q8—734no—
1664C4×Q8—734no—
1665C4×Q8—732no—
1666C4×Q8—734no—
1667C4×Q8C22×D7312yes—
1668C4×D4—734no—
1669C4×D4—734no—
1670C4×D4—734no—
1671C4×D4—732no—
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—734no—
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—732no—
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—732no—
1710C4×D4—734no—
1711C4×D4—734no—
1712C4×D4—734no—
1713C4×D4C22×D7314yes—
1714C4×D4C22×D7314yes—
1715C4×D4C22×D7312yes—
1716C4×D4C22×D7314yes—
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—734no—
1730#117—734no—
1731#117—734no—
1732#117—734no—
1733#117—734no—
1734#117—734no—
1735#117—732no—
1736#117—732no—
1737#117—732no—
1738#117—732no—
1739#117—734no—
1740#117—734no—
1741#117—734no—
1742#117C22×D7312yes—
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—734no—
1750C2×C22⋊C4—734no—
1751C2×C22⋊C4—734no—
1752C2×C22⋊C4—732no—
1753C2×C22⋊C4—732no—
1754C2×C22⋊C4—734no—
1755C2×C22⋊C4—734no—
1756C2×C22⋊C4—734no—
1757C2×C22⋊C4—734no—
1758C2×C42—732no—
1759C2×C42—734no—
1760C2×C42—731no—
1761C2×C42—732no—
1762C2×C42—734no—
1763C2×C42—732no—
1764C2×C42—734no—
1765C2×C42—732no—
1766C2×C42—731no—
1767C2×C42—731no—
1768C2×C42—731no—
1769C2×C42—731no—
1770C2×C42C22×D7312yes—
1771C2×C42C22×D7311yescharacteristic
1772C24—734no—
1773C24—732no—
1774C24—732no—
1775C24—732no—
1776C24—731no—
1777C24C23×D7312yes—
1778#41—42no—
1779#41—44no—
1780#41—42no—
1781#41—2924no—
1782#41—2928no—
1783#41—2922no—
1784#41—2924no—
1785#41—2924no—
1786#41—2922no—
1787#41—2928no—
1788#41—2928no—
1789#41—2928no—
1790#41—2928no—
1791#41—2928no—
1792#41—2928no—
1793#41—2924no—
1794#41—2924no—
1795#41—2924no—
1796#41—2922no—
1797#41—2924no—
1798#41—2922no—
1799#41—2924no—
1800#41—2922no—
1801#41—2922no—
1802#41—2924no—
1803#41—14616no—
1804C2×Q8—2924no—
1805C2×Q8—2924no—
1806C2×Q8—2922no—
1807C2×Q8—2922no—
1808C2×Q8—732no—
1809C2×Q8—731no—
1810C2×Q8—732no—
1811C2×Q8—734no—
1812C2×Q8—732no—
1813C2×Q8—732no—
1814C2×Q8—731no—
1815C2×Q8—734no—
1816C2×Q8—734no—
1817C2×Q8C23×D7312yes—
1818C2×Q8C23×D7311yescharacteristic
1819C2×Q8C23×D7312yes—
1820C2×Q8C23×D7311yescharacteristic
1821C2×D4—2924no—
1822C2×D4—2928no—
1823C2×D4—2924no—
1824C2×D4—2922no—
1825C2×D4—2922no—
1826C2×D4—2924no—
1827C2×D4—2924no—
1828C2×D4—2928no—
1829C2×D4—2928no—
1830C2×D4—2924no—
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—732no—
1840C2×D4—732no—
1841C2×D4—734no—
1842C2×D4—732no—
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—734no—
1862C2×D4—732no—
1863C2×D4—731no—
1864C2×D4—734no—
1865C2×D4C23×D7312yes—
1866C2×D4C23×D7314yes—
1867C2×D4C23×D7314yes—
1868C2×D4C23×D7314yes—
1869C2×D4C23×D7314yes—
1870C2×D4C23×D7311yescharacteristic
1871C2×D4C23×D7312yes—
1872C2×D4C23×D7312yes—
1873C2×D4C23×D7314yes—
1874C2×D4C23×D7312yes—
1875C2×D4C23×D7311yescharacteristic
1876C22×C4—44no—
1877C22×C4—2924no—
1878C22×C4—2928no—
1879C22×C4—2924no—
1880C22×C4—734no—
1881C22×C4—734no—
1882C22×C4—734no—
1883C22×C4—732no—
1884C22×C4—732no—
1885C22×C4—732no—
1886C22×C4—734no—
1887C22×C4—734no—
1888C22×C4—734no—
1889C22×C4—734no—
1890C22×C4—734no—
1891C22×C4—734no—
1892C22×C4—731no—
1893C22×C4—732no—
1894C22×C4—731no—
1895C22×C4—734no—
1896C22×C4—732no—
1897C22×C4—732no—
1898C22×C4—732no—
1899C22×C4—732no—
1900C22×C4—731no—
1901C22×C4—731no—
1902C22×C4—734no—
1903C22×C4—732no—
1904C22×C4—732no—
1905C22×C4—732no—
1906C22×C4—732no—
1907C22×C4—732no—
1908C22×C4—731no—
1909C22×C4—734no—
1910C22×C4—732no—
1911C22×C4—1468no—
1912C22×C4—1468no—
1913C22×C4—1464no—
1914C22×C4C23×D7312yes—
1915C22×C4C23×D7311yescharacteristic
1916C22×C4C23×D7314yes—
1917C22×C4C23×D7312yes—
1918C22×C4C23×D7312yes—
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—732no—
1947C4⋊C4—732no—
1948C4⋊C4C23×D7314yes—
1949C4⋊C4C23×D7314yes—
1950C4⋊C4C23×D7314yes—
1951C4⋊C4C23×D7314yes—
1952C4⋊C4C23×D7312yes—
1953C4⋊C4C23×D7314yes—
1954C4⋊C4C23×D7314yes—
1955C4⋊C4C23×D7312yes—
1956C4⋊C4C23×D7314yes—
1957C4⋊C4C23×D7314yes—
1958C22⋊C4—734no—
1959C22⋊C4—734no—
1960C22⋊C4—734no—
1961C22⋊C4—732no—
1962C22⋊C4—732no—
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⋊C4—734no—
1992C22⋊C4—734no—
1993C22⋊C4C23×D7312yes—
1994C22⋊C4C23×D7312yes—
1995C22⋊C4C23×D7314yes—
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—731no—
2007C42—732no—
2008C42—732no—
2009C42—732no—
2010C42—731no—
2011C42—732no—
2012C42—732no—
2013C42—734no—
2014C42—734no—
2015C42—734no—
2016C42—734no—
2017C42—734no—
2018C42—732no—
2019C42—734no—
2020C42—732no—
2021C42—734no—
2022C42C23×D7311yescharacteristic
2023C42C23×D7311yescharacteristic
2024C42C23×D7312yes—
2025C42C23×D7312yes—
2026C42C23×D7312yes—
2027C42C23×D7314yes—
2028C23—42no—
2029C23—44no—
2030C23—2922no—
2031C23—2922no—
2032C23—2924no—
2033C23—2924no—
2034C23—2924no—
2035C23—2924no—
2036C23—2924no—
2037C23—2924no—
2038C23—731no—
2039C23—732no—
2040C23—734no—
2041C23—732no—
2042C23—731no—
2043C23—1462no—
2044C23—1464no—
2045C23—1464no—
2046C23C24×D7312yes—
2047C23C24×D7314yes—
2048C23C24×D7312yes—
2049C23C24×D7311yescharacteristic
2050Q8—41no—
2051Q8—42no—
2052Q8—41no—
2053Q8—42no—
2054Q8—2922no—
2055Q8—2924no—
2056Q8—2921no—
2057Q8—2922no—
2058Q8—2922no—
2059Q8—2921no—
2060Q8—2922no—
2061Q8—1468no—
2062Q8—1468no—
2063D4—42no—
2064D4—44no—
2065D4—41no—
2066D4—42no—
2067D4—42no—
2068D4—41no—
2069D4—44no—
2070D4—44no—
2071D4—44no—
2072D4—44no—
2073D4—42no—
2074D4—2922no—
2075D4—2924no—
2076D4—2921no—
2077D4—2922no—
2078D4—2922no—
2079D4—2921no—
2080D4—2924no—
2081D4—2924no—
2082D4—2924no—
2083D4—2924no—
2084D4—2922no—
2085D4—2922no—
2086D4—2922no—
2087D4—2924no—
2088D4—2924no—
2089D4—2922no—
2090D4—2922no—
2091D4—2924no—
2092D4—2922no—
2093D4—2922no—
2094D4—2924no—
2095D4—2924no—
2096D4—2924no—
2097D4—2924no—
2098D4—2924no—
2099D4—2924no—
2100D4—1468no—
2101D4—1468no—
2102D4—1468no—
2103D4—1468no—
2104D4—1468no—
2105D4—1468no—
2106C2×C4—24no—
2107C2×C4—28no—
2108C2×C4—24no—
2109C2×C4—22no—
2110C2×C4—42no—
2111C2×C4—44no—
2112C2×C4—42no—
2113C2×C4—44no—
2114C2×C4—2924no—
2115C2×C4—2924no—
2116C2×C4—2924no—
2117C2×C4—2922no—
2118C2×C4—2922no—
2119C2×C4—2924no—
2120C2×C4—2924no—
2121C2×C4—2924no—
2122C2×C4—2922no—
2123C2×C4—2924no—
2124C2×C4—2924no—
2125C2×C4—2924no—
2126C2×C4—732no—
2127C2×C4—731no—
2128C2×C4—734no—
2129C2×C4—732no—
2130C2×C4—734no—
2131C2×C4—734no—
2132C2×C4—731no—
2133C2×C4—732no—
2134C2×C4—734no—
2135C2×C4—732no—
2136C2×C4—1464no—
2137C2×C4—1464no—
2138C2×C4—1464no—
2139C2×C4—1464no—
2140C2×C4—1462no—
2141C2×C4—1468no—
2142C2×C4—1462no—
2143C2×C4—1464no—
2144C2×C4—1464no—
2145C2×C4—1464no—
2146C2×C4—1464no—
2147C2×C4—1464no—
2148C2×C4—1462no—
2149C2×C4—1468no—
2150C2×C4—1464no—
2151C2×C4—1468no—
2152C2×C4—1462no—
2153C2×C4—1464no—
2154C2×C4C24×D7312yes—
2155C2×C4C24×D7314yes—
2156C2×C4C24×D7314yes—
2157C2×C4C24×D7312yes—
2158C2×C4C24×D7311yescharacteristic
2159C2×C4C24×D7312yes—
2160C2×C4C24×D7314yes—
2161C2×C4C24×D7312yes—
2162C2×C4C24×D7311yescharacteristic
2163C22—22no—
2164C22—24no—
2165C22—21no—
2166C22—22no—
2167C22—24no—
2168C22—22no—
2169C22—24no—
2170C22—24no—
2171C22—24no—
2172C22—84no—
2173C22—2924no—
2174C22—5844no—
2175C22—5848no—
2176C22—5844no—
2177C22—5844no—
2178C22—732no—
2179C22—1462no—
2180C22—1464no—
2181C22—1461no—
2182C22—1462no—
2183C22—1464no—
2184C22—1462no—
2185C22—1464no—
2186C22—1464no—
2187C22—1464no—
2188C22—1462no—
2189C22C25×D7311yescharacteristic
2190C4—22no—
2191C4—24no—
2192C4—22no—
2193C4—21no—
2194C4—24no—
2195C4—22no—
2196C4—24no—
2197C4—22no—
2198C4—732no—
2199C4—734no—
2200C4—1462no—
2201C4—1464no—
2202C4—1461no—
2203C4—1462no—
2204C4—1462no—
2205C4—1464no—
2206C4—1464no—
2207C4H(5,𝔽2)×D7312yes—
2208C2—42no—
2209C2—44no—
2210C2—41no—
2211C2—42no—
2212C2—2921no—
2213C2—2922no—
2214C2—2924no—
2215C2—2922no—
2216C2—1462no—
2217C2C2×H(5,𝔽2)×D7311yescharacteristic
2218C2#585×D7312yes—
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3529C2
hypercenter#3529D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3529

Complements

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

NH ≅ G/Ntype
1. #22624356C2semidirect
2. #22624350C2semidirect
3. #22624341C2semidirect
4. #22624335C2semidirect
5. #22624327C2semidirect
6. #22624311C2semidirect
7. #22624294C2semidirect
8. #22624289C2semidirect
9. #22624286C2semidirect
10. #22624281C2semidirect
11. #22624270C2semidirect
12. #22624259C2semidirect
13. #22624244C2semidirect
14. #22624236C2semidirect
15. #22624070C2semidirect
16. #22624067C2semidirect
17. #22623555C2semidirect
18. #22623533C2semidirect
19. #22623483C2semidirect
20. #22623414C2semidirect
21. #22623352C2semidirect
22. #22623349C2semidirect
23. #22623261C2semidirect
24. #22623258C2semidirect
25. #22623225C2semidirect
26. #532×D73C2semidirect
27. C73×#3529C2semidirect
28. C22×#11924028C22semidirect
29. C2×#41×D73C22semidirect
30. C2×#41×D73C22semidirect
31. C2×#41×D73C22semidirect
32. #17989341C22semidirect
33. #17989339C22semidirect
34. #17989337C22semidirect
35. #17989336C22semidirect
36. #17989335C22semidirect
37. #17989334C22semidirect
38. #17989333C22semidirect
39. #17989332C22semidirect
40. #17989331C22semidirect
41. #17989331C22semidirect
42. #17989329C22semidirect
43. #17989329C22semidirect
44. #17989328C22semidirect
45. #17989327C22semidirect
46. #17989325C22semidirect
47. #17989325C22semidirect
48. #17989324C22semidirect
49. #17989321C22semidirect
50. #17989317C22semidirect
51. #17989304C22semidirect
52. #17989303C22semidirect
53. #17989301C22semidirect
54. #17989301C22semidirect
55. #17989299C22semidirect
56. #17989299C22semidirect
57. #17989299C22semidirect
58. #17989299C22semidirect
59. #17989291C22semidirect
60. #17989291C22semidirect
61. #17989288C22semidirect
62. #17989282C22semidirect
63. #17989280C22semidirect
64. #17989280C22semidirect
65. #17989274C22semidirect
66. #17989273C22semidirect
67. #17989269C22semidirect
68. #17989269C22semidirect
69. #17989268C22semidirect
70. #17989267C22semidirect
71. #17989265C22semidirect
72. #17989264C22semidirect
73. #17989264C22semidirect
74. #17989262C22semidirect
75. #17989260C22semidirect
76. #17989257C22semidirect
77. #17989255C22semidirect
78. #17989255C22semidirect
79. #17989255C22semidirect
80. #17989250C22semidirect
81. #17989247C22semidirect
82. #17989243C22semidirect
83. #17989239C22semidirect
84. #17989235C22semidirect
85. #17989235C22semidirect
86. #17989235C22semidirect
87. #17989234C22semidirect
88. #17989229C22semidirect
89. #17989229C22semidirect
90. #17989229C22semidirect
91. #17989228C22semidirect
92. #17989226C22semidirect
93. #17989226C22semidirect
94. #17989224C22semidirect
95. #17989224C22semidirect
96. #17989224C22semidirect
97. #17989221C22semidirect
98. #17989219C22semidirect
99. #17989219C22semidirect
100. #17989219C22semidirect
101. #17989217C22semidirect
102. #17989216C22semidirect
103. #17989210C22semidirect
104. #17989207C22semidirect
105. #17989207C22semidirect
106. #17989206C22semidirect
107. #17989205C22semidirect
108. #17989205C22semidirect
109. #17989203C22semidirect
110. #17989203C22semidirect
111. #17989193C22semidirect
112. #17989190C22semidirect
113. #17989189C22semidirect
114. #17989189C22semidirect
115. #17989189C22semidirect
116. #17989189C22semidirect
117. #17989187C22semidirect
118. #17989187C22semidirect
119. #17989177C22semidirect
120. #17989176C22semidirect
121. #17989176C22semidirect
122. #17989174C22semidirect
123. #17989173C22semidirect
124. #17989173C22semidirect
125. #17989172C22semidirect
126. #17989172C22semidirect
127. #17989167C22semidirect
128. #17989167C22semidirect
129. #17989166C22semidirect
130. #17989164C22semidirect
131. #17989164C22semidirect
132. #17989164C22semidirect
133. #17989162C22semidirect
134. #17989162C22semidirect
135. #17989160C22semidirect
136. #17989159C22semidirect
137. #17989159C22semidirect
138. #17989157C22semidirect
139. #17989157C22semidirect
140. #17989155C22semidirect
141. #17989155C22semidirect
142. #17989155C22semidirect
143. #17989153C22semidirect
144. #17989153C22semidirect
145. #17989152C22semidirect
146. #17989152C22semidirect
147. #17989152C22semidirect
148. #17989152C22semidirect
149. #17989150C22semidirect
150. #17989150C22semidirect
151. #17989148C22semidirect
152. #17989148C22semidirect
153. #17989147C22semidirect
154. #17989147C22semidirect
155. #17989145C22semidirect
156. #17989145C22semidirect
157. #17989143C22semidirect
158. #17989141C22semidirect
159. #17989139C22semidirect
160. #17989138C22semidirect
161. #17989137C22semidirect
162. #17989137C22semidirect
164. #17989136C22semidirect
165. #17989136C22semidirect
166. #17989135C22semidirect
168. #17989134C22semidirect
169. #17989134C22semidirect
170. #17989134C22semidirect
171. #17989134C22semidirect
173. #17989133C22semidirect
174. #17989133C22semidirect
175. #17989133C22semidirect
176. #17989133C22semidirect
177. #17989132C22semidirect
178. #17989132C22semidirect
179. C4⋊Q8×D73C22semidirect
181. #17989124C22semidirect
182. #17989122C22semidirect
183. #17989121C22semidirect
184. #17989120C22semidirect
185. #17989120C22semidirect
186. #17989117C22semidirect
187. #17989117C22semidirect
188. #17989116C22semidirect
189. #17989115C22semidirect
190. #17989115C22semidirect
191. #17989115C22semidirect
192. #17989114C22semidirect
193. #124×D73C22semidirect
194. #124×D73C22semidirect
195. #17989100C22semidirect
196. #17989099C22semidirect
197. #17989099C22semidirect
198. #17989098C22semidirect
199. #17989097C22semidirect
200. #17989096C22semidirect
201. #17989096C22semidirect
202. #17989096C22semidirect
203. #17989096C22semidirect
204. #17989096C22semidirect
205. #17989096C22semidirect
206. #17989096C22semidirect
207. #17989095C22semidirect
208. #17989094C22semidirect
209. #121×D73C22semidirect
210. C4×#11924029C22semidirect
211. C4×#11924028C22semidirect
212. #17989055C22semidirect
213. C4×#11924027C22semidirect
214. C4×#11924027C22semidirect
215. C4×#11924027C22semidirect
216. C2×C4×C22⋊D73C22semidirect
217. C4×D4×D73C22semidirect
218. C4×D4×D73C22semidirect
219. C2×#14556548C22semidirect
220. #117×D73C22semidirect
221. C2×C42×D73C22semidirect
222. #563×C73C22semidirect
223. #563×C73C22semidirect
224. #562×C73C22semidirect
225. #562×C73C22semidirect
226. H(3,𝔽4)×C73C22semidirect
227. #560×C73C22semidirect
228. #560×C73C22semidirect
229. #532×C73C22semidirect
230. #532×C73C22semidirect
231. #529×C73C22semidirect
232. #529×C73C22semidirect
233. #525×C73C22semidirect
234. #525×C73C22semidirect
1126. #3529D73semidirect
1137. C73#62759semidirect
1146. #563C2×D73semidirect
1147. #563C2×D73semidirect
1154. #562C2×D73semidirect
1155. #562C2×D73semidirect
1158. H(3,𝔽4)C2×D73semidirect
1164. #560C2×D73semidirect
1165. #560C2×D73semidirect
1296. #532C2×D73semidirect
1297. #532C2×D73semidirect
1312. #529C2×D73semidirect
1313. #529C2×D73semidirect
1330. #525C2×D73semidirect
1331. #525C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243562
#226243502
#226243412
#226243352
#226243272
#226243112
#226242942
#226242892
#226242862
#226242812
#226242702
#226242592
#226242442
#226242362
#226240702
#226240672
#226235552
#226235332
#226234832
#226234142
#226233522
#226233492
#226232612
#226232582
#226232252
#532×D732
C73×#35292
#6275973