Finite Group Databasebeta

← #33999728

Subgroups — #33999728

Order 18688.

6496 conjugacy classes of subgroups.

The subgroup lattice has 2244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624625C212yesmaximal, complemented
2#22624624C214yesmaximal, complemented
3#22624624C214yesmaximal, complemented
4#22624503C211yesmaximal, characteristic, complemented
5#22624494C212yesmaximal, complemented
6#22624493C212yesmaximal, complemented
7#22624491C214yesmaximal, complemented
8#22624490C214yesmaximal, complemented
9#22624490C212yesmaximal, complemented
10#22624449C212yesmaximal, complemented
11#22624445C212yesmaximal, complemented
12#22624345C211yesmaximal, characteristic, complemented
13#22624343C212yesmaximal, complemented
14#22624339C212yesmaximal, complemented
15#22624286C212yesmaximal, complemented
16#22624280C214yesmaximal, complemented
17#22624278C214yesmaximal, complemented
18#22624076C211yesmaximal, characteristic, complemented
19#22624075C212yesmaximal, complemented
20#22623946C211yesmaximal, characteristic, complemented
21#22623944C212yesmaximal, complemented
22#22623939C212yesmaximal, complemented
23#22623887C211yesmaximal, characteristic, complemented
24#22623883C212yesmaximal, complemented
25#22623879C212yesmaximal, complemented
26#22623826C212yesmaximal, complemented
27#22623825C211yesmaximal, characteristic, complemented
28#22623824C212yesmaximal, complemented
29C73×#3558C211yesmaximal, characteristic, complemented
30C73⋊#564C2211yescharacteristic, complemented
31#17989341C2211yescharacteristic, complemented
32#17989340C2214yescomplemented
33#17989340C2214yescomplemented
34#17989340C2212yescomplemented
35#17989340C2214yescomplemented
36#17989339C2212yescomplemented
37#17989339C2212yescomplemented
38#17989339C2214yescomplemented
39#17989338C2214yescomplemented
40#17989338C2214yescomplemented
41#17989338C2212yescomplemented
42#17989337C2212yescomplemented
43#17989337C2212yescomplemented
44#17989337C2211yescharacteristic, complemented
45#17989337C2212yescomplemented
46#17989334C2212yescomplemented
47#17989332C2214yescomplemented
48#17989332C2212yescomplemented
49#17989332C2214yescomplemented
50#17989332C2214yescomplemented
51#17989332C2214yescomplemented
52#17989331C2211yescharacteristic, complemented
53#17989331C2212yescomplemented
54#17989330C2214yescomplemented
55#17989330C2214yescomplemented
56#17989323C2212yescomplemented
57#17989323C2211yescharacteristic, complemented
58#17989323C2212yescomplemented
59#17989323C2212yescomplemented
60#17989320C2212yescomplemented
61#17989319C2212yescomplemented
62#17989319C2212yescomplemented
63Q8×Dic146C2212yescomplemented
64Q8×Dic146C2211yescharacteristic, complemented
65#17989317C2212yescomplemented
66#17989311C2211yescharacteristic, complemented
67#17989310C2211yescharacteristic, complemented
68#17989309C2212yescomplemented
69#17989308C2212yescomplemented
70#17989308C2214yescomplemented
71#17989308C2212yescomplemented
72#17989307C2212yescomplemented
73#17989307C2212yescomplemented
74#17989307C2214yescomplemented
75#17989307C2212yescomplemented
76#17989306C2212yescomplemented
77#17989306C2212yescomplemented
78#17989306C2212yescomplemented
79#17989306C2212yescomplemented
80#17989306C2212yescomplemented
81#17989306C2214yescomplemented
82#17989306C2214yescomplemented
83#17989306C2214yescomplemented
84#17989304C2214yescomplemented
85#17989304C2214yescomplemented
86#17989304C2214yescomplemented
87#17989304C2214yescomplemented
88#17989302C2211yescharacteristic, complemented
89#17989301C2214yescomplemented
90#17989301C2212yescomplemented
91#17989301C2212yescomplemented
92#17989301C2212yescomplemented
93#17989299C2214yescomplemented
94#17989268C2214yescomplemented
95#17989268C2214yescomplemented
96#17989268C2214yescomplemented
97#17989268C2214yescomplemented
98#17989268C2214yescomplemented
99#17989268C2214yescomplemented
100#17989268C2214yescomplemented
101#17989267C2214yescomplemented
102#17989267C2214yescomplemented
103#17989266C2214yescomplemented
104#17989266C2214yescomplemented
105#17989266C2214yescomplemented
106#17989265C2214yescomplemented
107#17989263C2214yescomplemented
108#17989263C2214yescomplemented
109#17989263C2214yescomplemented
110#17989263C2214yescomplemented
111#17989263C2214yescomplemented
112#17989260C2214yescomplemented
113#17989260C2214yescomplemented
114D4×Dic146C2212yescomplemented
115D4×Dic146C2212yescomplemented
116D4×Dic146C2214yescomplemented
117D4×Dic146C2212yescomplemented
118D4×Dic146C2211yescharacteristic, complemented
119#17989252C2211yescharacteristic, complemented
120Q8×C22⋊D73C2212yescomplemented
121#17989250C2214yescomplemented
122#17989250C2212yescomplemented
123#17989246C2212yescomplemented
124#17989245C2212yescomplemented
125#17989244C2212yescomplemented
126#17989244C2212yescomplemented
127#17989243C2214yescomplemented
128#17989243C2214yescomplemented
129#17989243C2212yescomplemented
130#17989234C2212yescomplemented
131#17989231C2214yescomplemented
132#17989231C2214yescomplemented
133#17989231C2212yescomplemented
134#17989231C2212yescomplemented
135#17989226C2214yescomplemented
136#17989225C2212yescomplemented
137#17989225C2212yescomplemented
138#17989224C2214yescomplemented
139#17989224C2214yescomplemented
140#17989224C2214yescomplemented
141#17989222C2211yescharacteristic, complemented
142D4×C22⋊D73C2212yescomplemented
143#17989213C2214yescomplemented
144#17989213C2212yescomplemented
145#17989212C2214yescomplemented
146#17989210C2212yescomplemented
147#17989208C2212yescomplemented
148#17989207C2214yescomplemented
149#17989206C2214yescomplemented
150#17989206C2214yescomplemented
151#17989206C2212yescomplemented
152#17989206C2212yescomplemented
153#17989206C2212yescomplemented
154#17989206C2212yescomplemented
155#17989205C2214yescomplemented
156#17989205C2214yescomplemented
157#17989205C2214yescomplemented
158#17989205C2214yescomplemented
159#17989205C2214yescomplemented
160#17989204C2214yescomplemented
161#17989204C2214yescomplemented
162#17989204C2214yescomplemented
163#17989204C2214yescomplemented
164#17989204C2212yescomplemented
165#17989204C2212yescomplemented
166#17989204C2212yescomplemented
167#17989204C2214yescomplemented
168#17989202C2214yescomplemented
169#17989202C2212yescomplemented
170#17989202C2212yescomplemented
171#17989202C2214yescomplemented
172#17989201C2214yescomplemented
173#17989201C2214yescomplemented
174#17989201C2214yescomplemented
175#17989201C2214yescomplemented
176#17989175C2212yescomplemented
177#17989174C2214yescomplemented
178#17989174C2214yescomplemented
179#17989172C2214yescomplemented
180#17989172C2214yescomplemented
181#17989172C2214yescomplemented
182#17989172C2214yescomplemented
183#17989172C2214yescomplemented
184#17989172C2214yescomplemented
185#17989172C2214yescomplemented
186#17989169C2214yescomplemented
187#17989169C2214yescomplemented
188#17989169C2214yescomplemented
189#17989169C2214yescomplemented
190#17989161C2211yescharacteristic, complemented
191#17989159C2214yescomplemented
192#17989159C2214yescomplemented
193#17989159C2214yescomplemented
194#17989158C2214yescomplemented
195#17989158C2212yescomplemented
196#17989157C2214yescomplemented
197#17989157C2212yescomplemented
198#17989154C2211yescharacteristic
199#17989150C2212yes—
200#17989147C2214yescomplemented
201#17989146C2214yescomplemented
202#17989144C2211yescharacteristic, complemented
203#17989144C2211yescharacteristic, complemented
204#17989143C2212yescomplemented
205#17989141C2212yescomplemented
206#17989141C2212yescomplemented
207#17989140C2212yescomplemented
208#17989139C2214yescomplemented
209#17989139C2214yescomplemented
210#17989139C2212yescomplemented
211#17989135C2212yes—
212#17989132C2212yes—
213#17989121C2211yescharacteristic, complemented
214#17989119C2212yescomplemented
215#17989118C2214yescomplemented
216#17989118C2214yescomplemented
217#17989118C2214yescomplemented
218#17989117C2214yescomplemented
219#17989117C2212yescomplemented
220#17989117C2212yescomplemented
221#17989117C2214yescomplemented
222#17989116C2212yescomplemented
223#17989116C2212yescomplemented
224#17989116C2212yescomplemented
225#17989116C2212yescomplemented
226#17989115C2212yescomplemented
227#17989114C2214yescomplemented
228#17989114C2214yescomplemented
229#17989114C2214yescomplemented
230C2×#14556578C2214yescomplemented
231C2×#14556578C2212yescomplemented
232C2×#14556577C2214yescomplemented
233#124×D73C2212yescomplemented
234#124×D73C2212yescomplemented
235#17989065C2211yescharacteristic, complemented
236#17989064C2212yescomplemented
237#17989063C2212yescomplemented
238#17989062C2211yescharacteristic, complemented
239#17989062C2212yescomplemented
240#17989059C2212yescomplemented
241#41×Dic73C2212yescomplemented
242C4×#11924028C2211yescharacteristic, complemented
243C4×#11924027C2212yescomplemented
244#562×C73C2212yescomplemented
245H(3,𝔽4)×C73C2212yescomplemented
246#559×C73C2212yescomplemented
247#548×C73C2212yescomplemented
248#546×C73C2214yescomplemented
249#546×C73C2212yescomplemented
250D42×C73C2212yescomplemented
251#542×C73C2212yescomplemented
252#538×C73C2212yescomplemented
253#538×C73C2214yescomplemented
254#535×C73C2212yes—
255#534×C73C2212yescomplemented
256#532×C73C2211yescharacteristic
257#529×C73C2211yescharacteristic, complemented
258C2×#124×C73C2211yescharacteristic, complemented
259C2×#11924028C2311yescharacteristic
260C2×#11924027C2312yes—
261C2×#11924027C2314yes—
262C2×#11924027C2314yes—
263C22×Dic146C2312yes—
264C22×Dic146C2314yes—
265C22×Dic146C2314yes—
266C2×Q8×D73C2312yes—
267C2×Q8×D73C2312yes—
268C22×C22⋊D73C2314yes—
269C2×D4×D73C2312yes—
270C2×D4×D73C2312yes—
271#14556591C2312yes—
272#14556591C2311yescharacteristic
273#14556591C2311yescharacteristic
274#14556591C2311yescharacteristic
275#14556591C2311yescharacteristic
276#14556591C2314yes—
277#14556590C2312yes—
278#14556590C2314yes—
279#14556590C2314yes—
280#14556590C2312yes—
281#14556590C2312yes—
282#14556590C2312yes—
283#14556590C2312yes—
284#14556590C2312yes—
285#14556590C2312yes—
286#14556590C2312yes—
287#14556590C2314yes—
288#14556590C2314yes—
289#14556590C2314yes—
290#14556589C2312yes—
291#14556589C2314yes—
292#14556589C2314yes—
293#14556589C2312yes—
294#14556589C2312yes—
295#14556589C2314yes—
296#14556587C2312yes—
297#14556586C2312yes—
298#14556586C2314yes—
299#14556586C2314yes—
300#14556586C2314yes—
301#14556586C2312yes—
302#14556586C2314yes—
303#14556586C2314yes—
304#14556586C2312yes—
305#14556586C2314yes—
306#14556585C2312yes—
307#14556585C2314yes—
308#14556584C2314yes—
309#14556584C2314yes—
310#14556584C2314yes—
311#14556584C2314yes—
312#14556584C2314yes—
313#14556584C2312yes—
314#14556584C2312yes—
315#14556584C2314yes—
316#14556584C2314yes—
317#14556584C2314yes—
318#14556584C2314yes—
319#14556584C2314yes—
320#14556584C2314yes—
321#14556584C2314yes—
322#14556584C2314yes—
323#14556584C2314yes—
324#14556584C2312yes—
325#14556584C2314yes—
326#14556584C2314yes—
327#14556584C2312yes—
328#14556584C2314yes—
329#14556584C2314yes—
330#14556584C2312yes—
331#14556584C2314yes—
332#14556584C2314yes—
333#14556584C2314yes—
334#14556584C2314yes—
335#14556583C2311yescharacteristic
336#14556583C2312yes—
337#14556583C2311yescharacteristic
338#14556583C2311yescharacteristic
339#14556582C2312yes—
340#14556582C2312yes—
341#14556582C2312yes—
342#14556581C2312yes—
343#14556581C2312yes—
344#14556581C2314yes—
345#14556581C2314yes—
346#14556581C2312yes—
347#14556581C2312yes—
348#14556581C2312yes—
349#14556580C2312yes—
350#14556580C2312yes—
351#14556579C2311yescharacteristic
352#14556579C2312yes—
353#14556578C2314yes—
354#14556578C2312yes—
355#14556578C2312yes—
356#14556578C2314yes—
357#14556578C2312yes—
358#14556578C2314yes—
359#14556578C2312yes—
360#14556578C2314yes—
361#14556578C2312yes—
362#14556578C2314yes—
363#14556578C2314yes—
364#14556578C2314yes—
365#14556578C2314yes—
366#14556578C2314yes—
367#14556578C2314yes—
368#14556578C2312yes—
369#14556578C2314yes—
370#14556578C2314yes—
371#14556578C2314yes—
372#14556578C2312yes—
373#14556577C2314yes—
374#14556577C2314yes—
375#14556577C2314yes—
376#14556577C2314yes—
377#14556577C2314yes—
378#14556577C2314yes—
379#14556577C2314yes—
380#14556577C2314yes—
381#14556577C2314yes—
382#14556577C2314yes—
383#14556577C2314yes—
384#14556577C2314yes—
385#14556577C2314yes—
386#14556577C2314yes—
387#14556577C2314yes—
388#14556577C2314yes—
389#14556577C2314yes—
390#14556577C2314yes—
391#14556577C2312yes—
392#14556577C2312yes—
393#14556577C2314yes—
394#14556577C2312yes—
395#14556576C2312yes—
396#14556575C2314yes—
397#14556575C2314yes—
398#14556575C2314yes—
399#14556575C2312yes—
400#14556575C2314yes—
401#14556575C2312yes—
402#14556574C2312yes—
403#14556574C2314yes—
404#14556574C2314yes—
405#14556574C2314yes—
406#14556574C2314yes—
407#14556574C2314yes—
408#14556573C2314yes—
409#14556573C2314yes—
410#14556573C2314yes—
411#14556573C2314yes—
412#14556573C2314yes—
413#14556573C2314yes—
414#14556573C2312yes—
415#14556573C2312yes—
416#14556573C2314yes—
417#14556573C2314yes—
418#14556573C2312yes—
419#14556572C2314yes—
420#14556572C2314yes—
421#14556572C2314yes—
422#14556572C2314yes—
423#14556572C2314yes—
424#14556572C2314yes—
425#14556572C2314yes—
426#14556572C2314yes—
427#14556572C2314yes—
428#14556572C2314yes—
429#14556572C2314yes—
430#14556572C2312yes—
431#14556572C2314yes—
432#14556572C2314yes—
433#14556572C2314yes—
434#14556572C2312yes—
435#14556571C2312yes—
436#14556571C2312yes—
437#14556571C2314yes—
438#14556571C2312yes—
439#14556570C2311yescharacteristic
440#14556570C2314yes—
441#14556570C2314yes—
442#14556570C2312yes—
443#14556570C2312yes—
444#14556570C2312yes—
445#14556570C2312yes—
446#14556570C2312yes—
447#14556570C2314yes—
448#14556570C2314yes—
449#14556570C2314yes—
450#14556570C2314yes—
451#14556570C2314yes—
452#14556570C2314yes—
453#14556570C2314yes—
454#14556569C2314yes—
455#14556569C2312yes—
456#14556569C2312yes—
457#14556569C2314yes—
458#14556569C2314yes—
459#14556569C2314yes—
460#14556569C2314yes—
461#14556569C2312yes—
462#14556569C2314yes—
463#14556568C2314yes—
464#14556568C2314yes—
465#14556568C2314yes—
466#14556568C2314yes—
467#14556568C2314yes—
468#14556568C2312yes—
469#14556568C2312yes—
470#14556568C2312yes—
471#14556568C2312yes—
472#14556568C2314yes—
473#14556568C2314yes—
474#14556568C2314yes—
475#14556568C2314yes—
476#14556568C2314yes—
477#14556568C2314yes—
478#14556568C2314yes—
479#14556568C2314yes—
480#14556568C2312yes—
481#14556568C2314yes—
482#14556568C2314yes—
483#14556568C2314yes—
484#14556568C2314yes—
485#14556568C2314yes—
486#14556568C2314yes—
487#14556568C2314yes—
488#14556568C2314yes—
489#14556568C2312yes—
490#14556567C2312yes—
491#14556567C2312yes—
492#14556567C2312yes—
493#14556567C2312yes—
494#14556567C2312yes—
495#14556567C2312yes—
496#14556567C2314yes—
497#14556565C2311yescharacteristic
498#14556565C2312yes—
499#14556564C2312yes—
500#14556564C2314yes—
501#14556563C2314yes—
502#14556563C2312yes—
503#14556563C2314yes—
504#14556563C2314yes—
505#14556563C2314yes—
506#14556563C2314yes—
507#14556563C2314yes—
508#14556563C2314yes—
509#14556563C2314yes—
510#14556563C2312yes—
511#14556563C2314yes—
512#14556563C2314yes—
513#14556563C2314yes—
514#14556562C2314yes—
515#14556562C2312yes—
516#14556562C2312yes—
517#14556562C2314yes—
518#14556562C2312yes—
519#14556562C2312yes—
520#14556562C2312yes—
521#14556562C2314yes—
522#14556562C2312yes—
523#14556562C2312yes—
524#14556560C2314yes—
525#14556560C2314yes—
526#14556560C2314yes—
527#14556560C2314yes—
528#14556559C2314yes—
529#14556559C2314yes—
530#14556559C2314yes—
531#14556559C2314yes—
532#14556559C2314yes—
533#14556559C2314yes—
534Q8×Dic73C2312yes—
535Q8×Dic73C2312yes—
536Q8×Dic73C2312yes—
537Q8×Dic73C2312yes—
538Q8×Dic73C2312yes—
539Q8×Dic73C2312yes—
540Q8×Dic73C2312yes—
541C4×Dic146C2311yescharacteristic
542C4×Dic146C2312yes—
543C4×Dic146C2312yes—
544C4×Dic146C2312yes—
545C4×Dic146C2312yes—
546C4×Dic146C2314yes—
547C4×Dic146C2312yes—
548C4×Dic146C2312yes—
549C4×Dic146C2312yes—
550C4×Dic146C2314yes—
551C4×Dic146C2314yes—
552C4×Dic146C2311yescharacteristic
553C4×Dic146C2311yescharacteristic
554C4×Dic146C2312yes—
555#14556556C2314yes—
556#14556556C2314yes—
557#14556556C2314yes—
558#14556556C2314yes—
559#14556556C2314yes—
560#14556556C2312yes—
561#14556556C2312yes—
562#14556556C2314yes—
563#14556556C2314yes—
564C4×D292C2311yescharacteristic
565C4×D292C2311yescharacteristic
566C4×D292C2311yescharacteristic
567D4×Dic73C2312yes—
568D4×Dic73C2314yes—
569D4×Dic73C2312yes—
570D4×Dic73C2312yes—
571D4×Dic73C2312yes—
572D4×Dic73C2312yes—
573D4×Dic73C2314yes—
574D4×Dic73C2314yes—
575D4×Dic73C2314yes—
576D4×Dic73C2314yes—
577D4×Dic73C2314yes—
578D4×Dic73C2312yes—
579D4×Dic73C2314yes—
580D4×Dic73C2314yes—
581D4×Dic73C2312yes—
582D4×Dic73C2312yes—
583D4×Dic73C2314yes—
584D4×Dic73C2312yes—
585D4×Dic73C2312yes—
586#14556553C2312yes—
587C4×C22⋊D73C2312yes—
588C4×C22⋊D73C2312yes—
589C4×C22⋊D73C2314yes—
590C4×C22⋊D73C2314yes—
591C4×C22⋊D73C2314yes—
592C4×C22⋊D73C2312yes—
593C4×C22⋊D73C2314yes—
594C4×C22⋊D73C2314yes—
595C4×C22⋊D73C2312yes—
596C4×C22⋊D73C2312yes—
597#14556551C2314yes—
598#14556551C2314yes—
599#14556551C2314yes—
600#14556551C2314yes—
601#14556551C2314yes—
602#14556551C2314yes—
603#14556551C2314yes—
604#14556551C2314yes—
605#14556550C2312yes—
606#14556550C2311yescharacteristic
607#14556550C2311yescharacteristic
608#14556550C2312yes—
609#14556550C2314yes—
610#14556550C2314yes—
611#14556550C2314yes—
612#14556550C2311yescharacteristic
613#14556550C2312yes—
614#14556549C2312yes—
615#14556549C2312yes—
616#14556549C2314yes—
617#14556549C2312yes—
618#14556548C2312yes—
619#14556548C2312yes—
620#14556548C2314yes—
621#14556548C2314yes—
622#14556548C2312yes—
623#14556548C2314yes—
624#14556547C2314yes—
625#14556547C2314yes—
626#14556547C2314yes—
627#14556547C2314yes—
628#14556547C2314yes—
629#14556547C2314yes—
630#14556547C2314yes—
631#14556547C2314yes—
632#14556547C2314yes—
633#14556547C2314yes—
634#14556547C2314yes—
635C2×C22⋊Dic73C2314yes—
636C2×C22⋊Dic73C2314yes—
637C2×C22⋊Dic73C2314yes—
638C2×C22⋊Dic73C2314yes—
639C2×C22⋊Dic73C2314yes—
640C2×C22⋊Dic73C2314yes—
641C2×C22⋊Dic73C2314yes—
642C2×#11924005C2314yes—
643C2×#11924005C2314yes—
644C22⋊C4×D73C2314yes—
645C22⋊C4×D73C2314yes—
646C22⋊C4×D73C2314yes—
647C22⋊C4×D73C2314yes—
648C2×C4×Dic73C2312yes—
649C2×C4×Dic73C2314yes—
650C2×C4×Dic73C2314yes—
651C42×D73C2312yes—
652C42×D73C2312yes—
653C2×#41×C73C2312yes—
654C2×#41×C73C2312yes—
655C22×Q8×C73C2311yescharacteristic
656C22×D4×C73C2311yescharacteristic
657C22×D4×C73C2312yes—
658C22×D4×C73C2314yes—
659C4⋊Q8×C73C2311yescharacteristic
660#127×C73C2312yes—
661#127×C73C2311yescharacteristic
662#126×C73C2312yes—
663#126×C73C2314yes—
664#125×C73C2311yescharacteristic
665#124×C73C2314yes—
666#124×C73C2312yes—
667#124×C73C2312yes—
668#124×C73C2314yes—
669#124×C73C2314yes—
670#124×C73C2312yes—
671#124×C73C2312yes—
672#124×C73C2312yes—
673#124×C73C2311yescharacteristic
674#124×C73C2312yes—
675#123×C73C2314yes—
676#123×C73C2314yes—
677#123×C73C2314yes—
678#123×C73C2312yes—
679#123×C73C2314yes—
680C22⋊Q8×C73C2314yes—
681C22⋊Q8×C73C2312yes—
682C22⋊Q8×C73C2314yes—
683C22⋊Q8×C73C2311yescharacteristic
684#121×C73C2312yes—
685#121×C73C2312yes—
686#121×C73C2314yes—
687#121×C73C2314yes—
688#121×C73C2314yes—
689#121×C73C2314yes—
690#121×C73C2312yes—
691#121×C73C2314yes—
692#121×C73C2311yescharacteristic
693#120×C73C2314yes—
694#120×C73C2314yes—
695#120×C73C2314yes—
696#120×C73C2314yes—
697#120×C73C2314yes—
698C4×Q8×C73C2311yescharacteristic
699C4×Q8×C73C2312yes—
700C4×D4×C73C2314yes—
701C4×D4×C73C2312yes—
702C4×D4×C73C2312yes—
703C4×D4×C73C2314yes—
704C4×D4×C73C2312yes—
705C4×D4×C73C2312yes—
706C4×D4×C73C2311yescharacteristic
707#117×C73C2312yes—
708C2×C22⋊C4×C73C2312yes—
709C2×C22⋊C4×C73C2314yes—
710C2×C22⋊C4×C73C2312yes—
711C2×C42×C73C2311yescharacteristic
712C23×D73C2414yes—
713#11924028—42no—
714#11924027—44no—
715#11924027—84no—
716#11924027—84no—
717C2×Dic146—44no—
718C2×Dic146—84no—
719C2×Dic146—84no—
720C2×Dic146C2412yes—
721C2×Dic146C2411yescharacteristic
722C2×Dic146C2412yes—
723C2×Dic146C2414yes—
724C2×Dic146C2414yes—
725C2×Dic146C2414yes—
726C2×Dic146C2414yes—
727C2×Dic146C2414yes—
728C2×Dic146C2412yes—
729C2×Dic146C2411yescharacteristic
730C2×Dic146C2412yes—
731C2×Dic146C2412yes—
732C2×Dic146C2414yes—
733C2×Dic146C2412yes—
734Q8×D73—44no—
735Q8×D73—82no—
736C2×D292C2411yescharacteristic
737C2×D292C2411yescharacteristic
738C2×C22⋊D73—84no—
739C2×C22⋊D73C2412yes—
740C2×C22⋊D73C2414yes—
741C2×C22⋊D73C2414yes—
742C2×C22⋊D73C2414yes—
743C2×C22⋊D73C2414yes—
744C2×C22⋊D73C2414yes—
745C2×C22⋊D73C2414yes—
746C2×C22⋊D73C2412yes—
747C2×C22⋊D73C2412yes—
748C2×C22⋊D73C2414yes—
749C2×C22⋊D73C2412yes—
750D4×D73—44no—
751D4×D73—82no—
752C22×Dic73C2414yes—
753C22×Dic73C2414yes—
754C22×Dic73C2412yes—
755C22×Dic73C2414yes—
756C22×Dic73C2412yes—
757C22×Dic73C2414yes—
758C22×Dic73C2414yes—
759C22×Dic73C2414yes—
760C22×Dic73C2414yes—
761C22×Dic73C2414yes—
762C2×C4×D73C2412yes—
763C2×C4×D73C2412yes—
764C2×C4×D73C2412yes—
765C2×C4×D73C2412yes—
766C2×C4×D73C2412yes—
767C2×C4×D73C2412yes—
768C2×C4×D73C2414yes—
769C2×C4×D73C2414yes—
770C4⋊Dic73C2411yescharacteristic
771C4⋊Dic73C2414yes—
772C4⋊Dic73C2412yes—
773C4⋊Dic73C2412yes—
774C4⋊Dic73C2412yes—
775C4⋊Dic73C2412yes—
776C4⋊Dic73C2412yes—
777C4⋊Dic73C2411yescharacteristic
778C4⋊Dic73C2411yescharacteristic
779C4⋊Dic73C2411yescharacteristic
780C4⋊Dic73C2412yes—
781C4⋊Dic73C2412yes—
782C4⋊Dic73C2414yes—
783C4⋊Dic73C2411yescharacteristic
784C4⋊Dic73C2411yescharacteristic
785C4⋊Dic73C2414yes—
786C4⋊Dic73C2412yes—
787C4⋊Dic73C2411yescharacteristic
788C4⋊Dic73C2412yes—
789C4⋊Dic73C2412yes—
790C4⋊Dic73C2414yes—
791C4⋊Dic73C2414yes—
792C4⋊Dic73C2411yescharacteristic
793#11924007C2414yes—
794#11924007C2412yes—
795#11924007C2414yes—
796#11924007C2412yes—
797#11924007C2412yes—
798#11924007C2414yes—
799#11924007C2412yes—
800#11924007C2412yes—
801#11924007C2414yes—
802#11924007C2412yes—
803#11924007C2412yes—
804#11924007C2412yes—
805#11924007C2414yes—
806#11924007C2414yes—
807#11924007C2414yes—
808#11924007C2414yes—
809#11924007C2414yes—
810#11924007C2414yes—
811#11924007C2412yes—
812#11924007C2412yes—
813#11924007C2412yes—
814#11924007C2412yes—
815#11924007C2412yes—
816#11924007C2414yes—
817#11924007C2412yes—
818#11924007C2412yes—
819#11924007C2412yes—
820#11924007C2414yes—
821#11924007C2414yes—
822#11924007C2414yes—
823#11924007C2412yes—
824#11924007C2412yes—
825#11924007C2414yes—
826C22⋊Dic73C2414yes—
827C22⋊Dic73C2414yes—
828C22⋊Dic73C2414yes—
829C22⋊Dic73C2414yes—
830C22⋊Dic73C2414yes—
831C22⋊Dic73C2414yes—
832C22⋊Dic73C2412yes—
833C22⋊Dic73C2412yes—
834C22⋊Dic73C2412yes—
835C22⋊Dic73C2412yes—
836C22⋊Dic73C2412yes—
837C22⋊Dic73C2412yes—
838C22⋊Dic73C2414yes—
839C22⋊Dic73C2414yes—
840C22⋊Dic73C2414yes—
841C22⋊Dic73C2414yes—
842C22⋊Dic73C2414yes—
843C22⋊Dic73C2414yes—
844C22⋊Dic73C2414yes—
845C22⋊Dic73C2414yes—
846C22⋊Dic73C2414yes—
847C22⋊Dic73C2414yes—
848C22⋊Dic73C2414yes—
849C22⋊Dic73C2414yes—
850C22⋊Dic73C2414yes—
851C22⋊Dic73C2414yes—
852C22⋊Dic73C2412yes—
853C22⋊Dic73C2414yes—
854C22⋊Dic73C2412yes—
855#11924005C2412yes—
856#11924005C2412yes—
857#11924005C2414yes—
858#11924005C2414yes—
859#11924005C2414yes—
860#11924005C2414yes—
861#11924005C2414yes—
862#11924005C2414yes—
863#11924005C2412yes—
864#11924005C2412yes—
865#11924005C2412yes—
866#11924005C2414yes—
867#11924005C2414yes—
868#11924005C2414yes—
869#11924005C2412yes—
870#11924005C2412yes—
871#11924005C2412yes—
872#11924005C2412yes—
873#11924005C2412yes—
874C4×Dic73C2412yes—
875C4×Dic73C2412yes—
876C4×Dic73C2412yes—
877C4×Dic73C2412yes—
878C4×Dic73C2412yes—
879C4×Dic73C2412yes—
880C4×Dic73C2412yes—
881C4×Dic73C2414yes—
882C4×Dic73C2414yes—
883C4×Dic73C2414yes—
884C4×Dic73C2414yes—
885C4×Dic73C2414yes—
886C4×Dic73C2414yes—
887C4×Dic73C2412yes—
888C4×Dic73C2412yes—
889C4×Dic73C2412yes—
890C4×Dic73C2414yes—
891C4×Dic73C2414yes—
892C4×Dic73C2414yes—
893C4×Dic73C2414yes—
894C24×C73C2412yes—
895C24×C73C2414yes—
896#41×C73—44no—
897#41×C73—82no—
898C2×Q8×C73—42no—
899C2×Q8×C73C2412yes—
900C2×Q8×C73C2411yescharacteristic
901C2×Q8×C73C2412yes—
902C2×Q8×C73C2412yes—
903C2×D4×C73—42no—
904C2×D4×C73—44no—
905C2×D4×C73—84no—
906C2×D4×C73C2412yes—
907C2×D4×C73C2412yes—
908C2×D4×C73C2411yescharacteristic
909C2×D4×C73C2414yes—
910C2×D4×C73C2412yes—
911C2×D4×C73C2414yes—
912C2×D4×C73C2412yes—
913C2×D4×C73C2414yes—
914C2×D4×C73C2414yes—
915C2×D4×C73C2412yes—
916C2×D4×C73C2412yes—
917C2×D4×C73C2414yes—
918C2×D4×C73C2414yes—
919C22×C4×C73C2411yescharacteristic
920C22×C4×C73C2412yes—
921C22×C4×C73C2411yescharacteristic
922C22×C4×C73C2411yescharacteristic
923C22×C4×C73C2412yes—
924C22×C4×C73C2414yes—
925C22×C4×C73C2414yes—
926C22×C4×C73C2414yes—
927C4⋊C4×C73C2412yes—
928C4⋊C4×C73C2412yes—
929C4⋊C4×C73C2412yes—
930C4⋊C4×C73C2412yes—
931C4⋊C4×C73C2412yes—
932C4⋊C4×C73C2414yes—
933C4⋊C4×C73C2412yes—
934C4⋊C4×C73C2411yescharacteristic
935C4⋊C4×C73C2414yes—
936C4⋊C4×C73C2411yescharacteristic
937C22⋊C4×C73C2412yes—
938C22⋊C4×C73C2414yes—
939C22⋊C4×C73C2414yes—
940C22⋊C4×C73C2414yes—
941C22⋊C4×C73C2414yes—
942C22⋊C4×C73C2414yes—
943C22⋊C4×C73C2414yes—
944C22⋊C4×C73C2412yes—
945C22⋊C4×C73C2412yes—
946C22⋊C4×C73C2412yes—
947C22⋊C4×C73C2414yes—
948C22⋊C4×C73C2412yes—
949C22⋊C4×C73C2414yes—
950C22⋊C4×C73C2414yes—
951C22⋊C4×C73C2414yes—
952C22⋊C4×C73C2414yes—
953C42×C73C2411yescharacteristic
954C42×C73C2411yescharacteristic
955C42×C73C2411yescharacteristic
956C42×C73C2411yescharacteristic
957C42×C73C2412yes—
958C42×C73C2414yes—
959C23×C73—44no—
960C23×C73—42no—
961C23×C73—42no—
962C23×C73—44no—
963C23×C73—44no—
964C23×C73—42no—
965C23×C73C2512yes—
966C23×C73C2514yes—
967C23×C73C2514yes—
968C23×C73C2511yescharacteristic
969C22×D73—44no—
970C22×D73—44no—
971C22×D73—44no—
972C22×D73C2512yes—
973C22×D73C2512yes—
974Q8×C73—24no—
975Q8×C73—42no—
976Q8×C73—41no—
977Q8×C73—42no—
978D4×C73—24no—
979D4×C73—24no—
980D4×C73—44no—
981D4×C73—42no—
982D4×C73—42no—
983D4×C73—44no—
984D4×C73—44no—
985D4×C73—44no—
986D4×C73—42no—
987D4×C73—44no—
988D4×C73—41no—
989D4×C73—44no—
990D4×C73—42no—
991C2×C4×C73—22no—
992C2×C4×C73—24no—
993C2×C4×C73—41no—
994C2×C4×C73—44no—
995C2×C4×C73—42no—
996C2×C4×C73—44no—
997C2×C4×C73—41no—
998C2×C4×C73—44no—
999C2×C4×C73C2512yes—
1000C2×C4×C73C2511yescharacteristic
1001C2×C4×C73C2511yescharacteristic
1002C2×C4×C73C2511yescharacteristic
1003C2×C4×C73C2511yescharacteristic
1004C2×C4×C73C2511yescharacteristic
1005C2×C4×C73C2514yes—
1006C2×C4×C73C2514yes—
1007C2×C4×C73C2512yes—
1008C2×C4×C73C2512yes—
1009C2×C4×C73C2511yescharacteristic
1010C22⋊D73—44no—
1011C22⋊D73—44no—
1012C22⋊D73—42no—
1013C22⋊D73—44no—
1014C22⋊D73—44no—
1015C22⋊D73—44no—
1016C22⋊D73—44no—
1017C22⋊D73—42no—
1018C22⋊D73—42no—
1019C22⋊D73—44no—
1020C22⋊D73—42no—
1021C2×Dic73—42no—
1022C2×Dic73—44no—
1023C2×Dic73—44no—
1024C2×Dic73—44no—
1025C2×Dic73—44no—
1026C2×Dic73—44no—
1027C2×Dic73—44no—
1028C2×Dic73—44no—
1029C2×Dic73—44no—
1030C2×Dic73—42no—
1031C2×Dic73C2512yes—
1032C2×Dic73C2512yes—
1033C2×Dic73C2512yes—
1034C2×Dic73C2512yes—
1035C2×Dic73C2512yes—
1036C2×Dic73C2514yes—
1037C2×Dic73C2514yes—
1038C2×Dic73C2512yes—
1039C2×Dic73C2512yes—
1040C2×Dic73C2512yes—
1041C2×Dic73C2512yes—
1042C2×Dic73C2512yes—
1043D292—22no—
1044D292—41no—
1045C4×D73—24no—
1046C4×D73—42no—
1047C4×D73—42no—
1048C4×D73—42no—
1049C4×D73—44no—
1050C4×D73—44no—
1051C4×D73—42no—
1052C4×D73—42no—
1053Dic146—24no—
1054Dic146—22no—
1055Dic146—44no—
1056Dic146—41no—
1057Dic146—44no—
1058Dic146—44no—
1059Dic146—42no—
1060Dic146—44no—
1061Dic146—42no—
1062Dic146—42no—
1063Dic146—44no—
1064Dic146—44no—
1065Dic146—42no—
1066Dic146—42no—
1067C22×C73—22no—
1068C22×C73—24no—
1069C22×C73—21no—
1070C22×C73—24no—
1071C22×C73—24no—
1072C22×C73—24no—
1073C22×C73—22no—
1074C22×C73—21no—
1075C22×C73—22no—
1076C22×C73—24no—
1077C22×C73—24no—
1078C22×C73—21no—
1079C22×C73—164no—
1080C22×C73—162no—
1081C22×C73C2611yescharacteristic
1082C2×D73—22no—
1083C2×D73—22no—
1084C2×D73—22no—
1085C2×D73—22no—
1086C2×D73—22no—
1087C2×D73—22no—
1088C2×D73—164no—
1089C4×C73—22no—
1090C4×C73—24no—
1091C4×C73—21no—
1092C4×C73—21no—
1093C4×C73—22no—
1094C4×C73—24no—
1095C4×C73—21no—
1096C4×C73—21no—
1097C4×C73—22no—
1098C4×C73—21no—
1099C4×C73#58512yes—
1100Dic73—24no—
1101Dic73—22no—
1102Dic73—22no—
1103Dic73—22no—
1104Dic73—22no—
1105Dic73—22no—
1106Dic73—24no—
1107Dic73—22no—
1108Dic73—22no—
1109Dic73—22no—
1110Dic73—22no—
1111Dic73—22no—
1112#63069—731nomaximal, Sylow
1113C2×C73—44no—
1114C2×C73—42no—
1115C2×C73—44no—
1116C2×C73—41no—
1117C2×C73C2×#58511yescharacteristic
1118C2×C73H(7,𝔽2)11yescharacteristic
1119C2×C732−1+611yescharacteristic
1120D73—42no—
1121D73—42no—
1122#3568—732no—
1123#3568—734no—
1124#3568—734no—
1125#3561—732no—
1126#3561—732no—
1127#3561—732no—
1128#3561—734no—
1129#3561—734no—
1130#3561—731no—
1131#3558—732no—
1132#3558—732no—
1133#3558D7311yescharacteristic, complemented
1134#3550—732no—
1135#3550—732no—
1136#3550—731no—
1137#3545—732no—
1138#3545—734no—
1139#3545—734no—
1140#3531—732no—
1141#3531—731no—
1142#3518—732no—
1143#3518—732no—
1144#3518—731no—
1145#3514—732no—
1146#3514—732no—
1147#3514—731no—
1148#3510—732no—
1149#3510—732no—
1150#3510—731no—
1151C73#6306911yescharacteristic, complemented, Sylow
1152#564—731no—
1153#563—732no—
1154#563—732no—
1155#563—734no—
1156#563—731no—
1157#563—732no—
1158#563—732no—
1159#563—731no—
1160#563—732no—
1161#563—734no—
1162#563—732no—
1163#563—734no—
1164#563—734no—
1165#563—734no—
1166#563—734no—
1167#563—732no—
1168#562—731no—
1169#562—732no—
1170#562—732no—
1171#562—732no—
1172#562—734no—
1173#562—734no—
1174#562—734no—
1175#562—734no—
1176#562C2×D7312yescomplemented
1177H(3,𝔽4)—734no—
1178H(3,𝔽4)—734no—
1179H(3,𝔽4)C2×D7312yescomplemented
1180#559—732no—
1181#559—731no—
1182#559—732no—
1183#559—732no—
1184#559—732no—
1185#559—732no—
1186#559—732no—
1187#559C2×D7312yescomplemented
1188Q82—732no—
1189Q82—732no—
1190Q82—731no—
1191#556—731no—
1192#556—734no—
1193#556—734no—
1194#556—734no—
1195#556—734no—
1196#556—732no—
1197#556—732no—
1198#556—732no—
1199#556—732no—
1200#556—732no—
1201#556—734no—
1202#556—734no—
1203#556—734no—
1204#556—732no—
1205#556—734no—
1206#556—732no—
1207#556—731no—
1208#556—732no—
1209#556—732no—
1210#556—732no—
1211#556—734no—
1212#556—732no—
1213#555—734no—
1214#555—732no—
1215#555—732no—
1216#555—734no—
1217#555—732no—
1218#555—731no—
1219#551—734no—
1220#551—734no—
1221#551—734no—
1222#551—734no—
1223#551—734no—
1224#551—734no—
1225#551—734no—
1226#551—734no—
1227#551—734no—
1228#551—734no—
1229#551—734no—
1230#551—734no—
1231#551—734no—
1232#551—734no—
1233#551—734no—
1234#551—734no—
1235#551—734no—
1236#551—734no—
1237#551—734no—
1238#551—734no—
1239D4×Q8—732no—
1240D4×Q8—731no—
1241D4×Q8—732no—
1242D4×Q8—734no—
1243D4×Q8—732no—
1244D4×Q8—732no—
1245D4×Q8—731no—
1246D4×Q8—732no—
1247D4×Q8—734no—
1248#548—732no—
1249#548—732no—
1250#548—732no—
1251#548—734no—
1252#548—734no—
1253#548—732no—
1254#548—732no—
1255#548C2×D7312yescomplemented
1256#546—732no—
1257#546—732no—
1258#546—734no—
1259#546—732no—
1260#546—732no—
1261#546—734no—
1262#546—734no—
1263#546—732no—
1264#546—734no—
1265#546—734no—
1266#546—734no—
1267#546C2×D7312yescomplemented
1268#546C2×D7314yescomplemented
1269D42—732no—
1270D42—731no—
1271D42C2×D7312yescomplemented
1272#543—734no—
1273#543—734no—
1274#543—732no—
1275#542—734no—
1276#542—734no—
1277#542—734no—
1278#542—734no—
1279#542—732no—
1280#542—732no—
1281#542—732no—
1282#542—734no—
1283#542—732no—
1284#542—734no—
1285#542—734no—
1286#542—734no—
1287#542—734no—
1288#542—734no—
1289#542—734no—
1290#542—734no—
1291#542—732no—
1292#542—734no—
1293#542—734no—
1294#542—732no—
1295#542—732no—
1296#542—734no—
1297#542—732no—
1298#542—734no—
1299#542—734no—
1300#542—732no—
1301#542—732no—
1302#542—734no—
1303#542—734no—
1304#542—732no—
1305#542C2×D7312yescomplemented
1306#538—734no—
1307#538—734no—
1308#538—734no—
1309#538—734no—
1310#538—734no—
1311#538—734no—
1312#538—734no—
1313#538—734no—
1314#538—734no—
1315#538—734no—
1316#538—734no—
1317#538—734no—
1318#538—734no—
1319#538—732no—
1320#538C2×D7314yescomplemented
1321#538C2×D7312yescomplemented
1322#536—732no—
1323#536—734no—
1324#536—731no—
1325#536—732no—
1326#536—734no—
1327#536—734no—
1328#536—734no—
1329#536—734no—
1330#535—731no—
1331#535—732no—
1332#535C2×D7312yes—
1333#534—734no—
1334#534—734no—
1335#534C2×D7312yescomplemented
1336#533—732no—
1337#533—734no—
1338#533—734no—
1339#533—732no—
1340#533—732no—
1341#533—732no—
1342#533—732no—
1343#533—731no—
1344#533—731no—
1345#532—732no—
1346#532—732no—
1347#532C2×D7311yescharacteristic
1348#529—732no—
1349#529—732no—
1350#529—732no—
1351#529—732no—
1352#529—734no—
1353#529—734no—
1354#529—734no—
1355#529—734no—
1356#529—734no—
1357#529—734no—
1358#529—734no—
1359#529—732no—
1360#529—732no—
1361#529—732no—
1362#529—734no—
1363#529—732no—
1364#529—731no—
1365#529C2×D7311yescharacteristic, complemented
1366C2×#124—732no—
1367C2×#124—734no—
1368C2×#124—732no—
1369C2×#124—732no—
1370C2×#124—734no—
1371C2×#124C2×D7311yescharacteristic, complemented
1372#519—731no—
1373#519—732no—
1374#519—732no—
1375#518—732no—
1376#518—731no—
1377#518—732no—
1378C4×#41—732no—
1379C4×#41—732no—
1380C4×#41—731no—
1381C2×#41—732no—
1382C2×#41—734no—
1383C2×#41—734no—
1384C2×#41—731no—
1385C2×#41C22×D7312yes—
1386C2×#41C22×D7312yes—
1387C22×Q8—732no—
1388C22×Q8—732no—
1389C22×Q8—732no—
1390C22×Q8—734no—
1391C22×Q8—734no—
1392C22×Q8C22×D7311yescharacteristic
1393C22×D4—732no—
1394C22×D4—734no—
1395C22×D4—732no—
1396C22×D4C22×D7312yes—
1397C22×D4C22×D7311yescharacteristic
1398C22×D4C22×D7314yes—
1399C4⋊Q8—732no—
1400C4⋊Q8—732no—
1401C4⋊Q8—734no—
1402C4⋊Q8—734no—
1403C4⋊Q8—732no—
1404C4⋊Q8—734no—
1405C4⋊Q8—732no—
1406C4⋊Q8—734no—
1407C4⋊Q8—732no—
1408C4⋊Q8—732no—
1409C4⋊Q8—732no—
1410C4⋊Q8—732no—
1411C4⋊Q8—732no—
1412C4⋊Q8—734no—
1413C4⋊Q8—732no—
1414C4⋊Q8—732no—
1415C4⋊Q8—734no—
1416C4⋊Q8—734no—
1417C4⋊Q8—734no—
1418C4⋊Q8—732no—
1419C4⋊Q8—731no—
1420C4⋊Q8—731no—
1421C4⋊Q8—731no—
1422C4⋊Q8—731no—
1423C4⋊Q8—734no—
1424C4⋊Q8C22×D7311yescharacteristic
1425#127—732no—
1426#127C22×D7312yes—
1427#127C22×D7311yescharacteristic
1428#126—732no—
1429#126—732no—
1430#126—734no—
1431#126—734no—
1432#126—734no—
1433#126—734no—
1434#126—734no—
1435#126—732no—
1436#126—734no—
1437#126—732no—
1438#126—732no—
1439#126—734no—
1440#126—734no—
1441#126—734no—
1442#126—734no—
1443#126—734no—
1444#126—734no—
1445#126—734no—
1446#126—734no—
1447#126—734no—
1448#126—734no—
1449#126—734no—
1450#126—734no—
1451#126—734no—
1452#126—734no—
1453#126—734no—
1454#126—732no—
1455#126—732no—
1456#126—732no—
1457#126—734no—
1458#126—734no—
1459#126—734no—
1460#126—734no—
1461#126—734no—
1462#126—734no—
1463#126—734no—
1464#126—732no—
1465#126—734no—
1466#126C22×D7312yes—
1467#126C22×D7314yes—
1468#125—732no—
1469#125—732no—
1470#125—732no—
1471#125—732no—
1472#125—732no—
1473#125—732no—
1474#125—732no—
1475#125—732no—
1476#125—734no—
1477#125—734no—
1478#125—731no—
1479#125—731no—
1480#125—731no—
1481#125—732no—
1482#125C22×D7311yescharacteristic
1483#124—732no—
1484#124—732no—
1485#124—732no—
1486#124—734no—
1487#124—734no—
1488#124—732no—
1489#124—732no—
1490#124—734no—
1491#124—734no—
1492#124—732no—
1493#124—732no—
1494#124—732no—
1495#124—734no—
1496#124—734no—
1497#124—734no—
1498#124—734no—
1499#124—734no—
1500#124—732no—
1501#124—734no—
1502#124—734no—
1503#124—734no—
1504#124—734no—
1505#124—732no—
1506#124—734no—
1507#124—734no—
1508#124—734no—
1509#124—734no—
1510#124—734no—
1511#124—734no—
1512#124—734no—
1513#124—734no—
1514#124—734no—
1515#124—734no—
1516#124—734no—
1517#124—732no—
1518#124—732no—
1519#124—734no—
1520#124—734no—
1521#124—734no—
1522#124—734no—
1523#124—734no—
1524#124—734no—
1525#124—734no—
1526#124—734no—
1527#124—731no—
1528#124—732no—
1529#124C22×D7312yes—
1530#124C22×D7312yes—
1531#124C22×D7312yes—
1532#124C22×D7312yes—
1533#124C22×D7312yes—
1534#124C22×D7312yes—
1535#124C22×D7311yescharacteristic
1536#124C22×D7314yes—
1537#124C22×D7314yes—
1538#124C22×D7314yes—
1539#123—734no—
1540#123—734no—
1541#123—734no—
1542#123—732no—
1543#123—734no—
1544#123—734no—
1545#123—734no—
1546#123—734no—
1547#123—734no—
1548#123—732no—
1549#123—734no—
1550#123—734no—
1551#123—734no—
1552#123—734no—
1553#123—734no—
1554#123—734no—
1555#123—734no—
1556#123—734no—
1557#123—732no—
1558#123—734no—
1559#123—734no—
1560#123—734no—
1561#123—732no—
1562#123—734no—
1563#123—734no—
1564#123—734no—
1565#123—732no—
1566#123—732no—
1567#123—732no—
1568#123—734no—
1569#123—734no—
1570#123—734no—
1571#123—732no—
1572#123—732no—
1573#123—734no—
1574#123—734no—
1575#123—734no—
1576#123—734no—
1577#123—734no—
1578#123—734no—
1579#123C22×D7314yes—
1580#123C22×D7314yes—
1581#123C22×D7314yes—
1582#123C22×D7312yes—
1583#123C22×D7314yes—
1584C22⋊Q8—732no—
1585C22⋊Q8—732no—
1586C22⋊Q8—732no—
1587C22⋊Q8—732no—
1588C22⋊Q8—732no—
1589C22⋊Q8—732no—
1590C22⋊Q8—734no—
1591C22⋊Q8—734no—
1592C22⋊Q8—734no—
1593C22⋊Q8—734no—
1594C22⋊Q8—731no—
1595C22⋊Q8—732no—
1596C22⋊Q8—732no—
1597C22⋊Q8—734no—
1598C22⋊Q8—732no—
1599C22⋊Q8—732no—
1600C22⋊Q8—734no—
1601C22⋊Q8—732no—
1602C22⋊Q8—734no—
1603C22⋊Q8—734no—
1604C22⋊Q8—734no—
1605C22⋊Q8—734no—
1606C22⋊Q8—732no—
1607C22⋊Q8—732no—
1608C22⋊Q8—734no—
1609C22⋊Q8—732no—
1610C22⋊Q8—732no—
1611C22⋊Q8—734no—
1612C22⋊Q8—732no—
1613C22⋊Q8—734no—
1614C22⋊Q8—732no—
1615C22⋊Q8—734no—
1616C22⋊Q8—734no—
1617C22⋊Q8—734no—
1618C22⋊Q8—734no—
1619C22⋊Q8—734no—
1620C22⋊Q8—734no—
1621C22⋊Q8—732no—
1622C22⋊Q8—734no—
1623C22⋊Q8—734no—
1624C22⋊Q8—734no—
1625C22⋊Q8—732no—
1626C22⋊Q8—734no—
1627C22⋊Q8—732no—
1628C22⋊Q8—732no—
1629C22⋊Q8—734no—
1630C22⋊Q8—734no—
1631C22⋊Q8—734no—
1632C22⋊Q8—734no—
1633C22⋊Q8—732no—
1634C22⋊Q8—732no—
1635C22⋊Q8—734no—
1636C22⋊Q8—734no—
1637C22⋊Q8—734no—
1638C22⋊Q8—734no—
1639C22⋊Q8—734no—
1640C22⋊Q8—734no—
1641C22⋊Q8—734no—
1642C22⋊Q8—734no—
1643C22⋊Q8—734no—
1644C22⋊Q8—734no—
1645C22⋊Q8—734no—
1646C22⋊Q8C22×D7311yescharacteristic
1647C22⋊Q8C22×D7314yes—
1648C22⋊Q8C22×D7312yes—
1649C22⋊Q8C22×D7314yes—
1650#121—732no—
1651#121—732no—
1652#121—734no—
1653#121—732no—
1654#121—734no—
1655#121—732no—
1656#121—734no—
1657#121—732no—
1658#121—734no—
1659#121—734no—
1660#121—732no—
1661#121—732no—
1662#121—734no—
1663#121—734no—
1664#121—732no—
1665#121—732no—
1666#121—734no—
1667#121—734no—
1668#121—734no—
1669#121—734no—
1670#121—734no—
1671#121—734no—
1672#121—734no—
1673#121—731no—
1674#121—732no—
1675#121—732no—
1676#121—734no—
1677#121C22×D7314yes—
1678#121C22×D7314yes—
1679#121C22×D7314yes—
1680#121C22×D7311yescharacteristic
1681#121C22×D7312yes—
1682#121C22×D7312yes—
1683#121C22×D7312yes—
1684#121C22×D7314yes—
1685#121C22×D7314yes—
1686#120—734no—
1687#120—734no—
1688#120—734no—
1689#120—734no—
1690#120—734no—
1691#120—734no—
1692#120—734no—
1693#120—734no—
1694#120—734no—
1695#120—734no—
1696#120C22×D7314yes—
1697#120C22×D7314yes—
1698#120C22×D7314yes—
1699#120C22×D7314yes—
1700#120C22×D7314yes—
1701C4×Q8—732no—
1702C4×Q8—732no—
1703C4×Q8—732no—
1704C4×Q8—732no—
1705C4×Q8—732no—
1706C4×Q8—732no—
1707C4×Q8—732no—
1708C4×Q8—732no—
1709C4×Q8—734no—
1710C4×Q8—734no—
1711C4×Q8—734no—
1712C4×Q8—732no—
1713C4×Q8—734no—
1714C4×Q8—734no—
1715C4×Q8—734no—
1716C4×Q8—734no—
1717C4×Q8—732no—
1718C4×Q8—731no—
1719C4×Q8—731no—
1720C4×Q8—734no—
1721C4×Q8—732no—
1722C4×Q8—732no—
1723C4×Q8—732no—
1724C4×Q8—731no—
1725C4×Q8—732no—
1726C4×Q8—732no—
1727C4×Q8—732no—
1728C4×Q8—734no—
1729C4×Q8—734no—
1730C4×Q8—732no—
1731C4×Q8C22×D7312yes—
1732C4×Q8C22×D7311yescharacteristic
1733C4×D4—732no—
1734C4×D4—732no—
1735C4×D4—734no—
1736C4×D4—732no—
1737C4×D4—734no—
1738C4×D4—734no—
1739C4×D4—732no—
1740C4×D4—734no—
1741C4×D4—732no—
1742C4×D4—732no—
1743C4×D4—732no—
1744C4×D4—732no—
1745C4×D4—734no—
1746C4×D4—732no—
1747C4×D4—732no—
1748C4×D4—734no—
1749C4×D4—734no—
1750C4×D4—734no—
1751C4×D4—734no—
1752C4×D4—732no—
1753C4×D4—732no—
1754C4×D4—734no—
1755C4×D4—734no—
1756C4×D4—732no—
1757C4×D4—732no—
1758C4×D4—732no—
1759C4×D4—734no—
1760C4×D4—734no—
1761C4×D4—734no—
1762C4×D4—732no—
1763C4×D4—734no—
1764C4×D4—734no—
1765C4×D4—734no—
1766C4×D4—734no—
1767C4×D4—734no—
1768C4×D4—734no—
1769C4×D4—734no—
1770C4×D4—734no—
1771C4×D4—731no—
1772C4×D4—731no—
1773C4×D4—731no—
1774C4×D4C22×D7312yes—
1775C4×D4C22×D7312yes—
1776C4×D4C22×D7312yes—
1777C4×D4C22×D7311yescharacteristic
1778C4×D4C22×D7314yes—
1779C4×D4C22×D7314yes—
1780C4×D4C22×D7312yes—
1781#117—732no—
1782#117—731no—
1783#117—734no—
1784#117—732no—
1785#117—731no—
1786#117—731no—
1787#117—734no—
1788#117—734no—
1789#117—732no—
1790#117—732no—
1791#117—734no—
1792#117—732no—
1793#117—732no—
1794#117—734no—
1795#117—734no—
1796#117—734no—
1797#117—734no—
1798#117—734no—
1799#117—734no—
1800#117—734no—
1801#117—734no—
1802#117—734no—
1803#117—734no—
1804#117—734no—
1805#117—732no—
1806#117—732no—
1807#117—732no—
1808#117—734no—
1809#117—734no—
1810#117—734no—
1811#117C22×D7312yes—
1812C2×C22⋊C4—734no—
1813C2×C22⋊C4—734no—
1814C2×C22⋊C4—734no—
1815C2×C22⋊C4—734no—
1816C2×C22⋊C4—734no—
1817C2×C22⋊C4—734no—
1818C2×C22⋊C4—734no—
1819C2×C22⋊C4—734no—
1820C2×C22⋊C4—734no—
1821C2×C22⋊C4—734no—
1822C2×C22⋊C4—734no—
1823C2×C22⋊C4—734no—
1824C2×C22⋊C4—734no—
1825C2×C22⋊C4C22×D7314yes—
1826C2×C22⋊C4C22×D7312yes—
1827C2×C22⋊C4C22×D7312yes—
1828C2×C42—734no—
1829C2×C42—734no—
1830C2×C42—732no—
1831C2×C42—732no—
1832C2×C42—732no—
1833C2×C42C22×D7311yescharacteristic
1834C24—734no—
1835C24C23×D7314yes—
1836C24C23×D7312yes—
1837#41—44no—
1838#41—82no—
1839#41—2922no—
1840#41—2924no—
1841#41—5844no—
1842#41—5844no—
1843C2×Q8—42no—
1844C2×Q8—2924no—
1845C2×Q8—2924no—
1846C2×Q8—5844no—
1847C2×Q8—5844no—
1848C2×Q8—5842no—
1849C2×Q8—732no—
1850C2×Q8—732no—
1851C2×Q8—734no—
1852C2×Q8—734no—
1853C2×Q8—732no—
1854C2×Q8—732no—
1855C2×Q8—731no—
1856C2×Q8—732no—
1857C2×Q8—734no—
1858C2×Q8—734no—
1859C2×Q8—734no—
1860C2×Q8—734no—
1861C2×Q8—732no—
1862C2×Q8—731no—
1863C2×Q8C23×D7312yes—
1864C2×Q8C23×D7311yescharacteristic
1865C2×Q8C23×D7312yes—
1866C2×Q8C23×D7312yes—
1867C2×D4—42no—
1868C2×D4—44no—
1869C2×D4—84no—
1870C2×D4—2924no—
1871C2×D4—5842no—
1872C2×D4—5844no—
1873C2×D4—732no—
1874C2×D4—732no—
1875C2×D4—734no—
1876C2×D4—732no—
1877C2×D4—734no—
1878C2×D4—734no—
1879C2×D4—734no—
1880C2×D4—734no—
1881C2×D4—734no—
1882C2×D4—734no—
1883C2×D4—732no—
1884C2×D4—731no—
1885C2×D4—731no—
1886C2×D4C23×D7312yes—
1887C2×D4C23×D7312yes—
1888C2×D4C23×D7312yes—
1889C2×D4C23×D7314yes—
1890C2×D4C23×D7311yescharacteristic
1891C2×D4C23×D7314yes—
1892C2×D4C23×D7314yes—
1893C2×D4C23×D7312yes—
1894C2×D4C23×D7314yes—
1895C2×D4C23×D7314yes—
1896C2×D4C23×D7312yes—
1897C2×D4C23×D7314yes—
1898C2×D4C23×D7312yes—
1899C22×C4—734no—
1900C22×C4—734no—
1901C22×C4—732no—
1902C22×C4—734no—
1903C22×C4—732no—
1904C22×C4—734no—
1905C22×C4—734no—
1906C22×C4—734no—
1907C22×C4—734no—
1908C22×C4—734no—
1909C22×C4—732no—
1910C22×C4—732no—
1911C22×C4—732no—
1912C22×C4—732no—
1913C22×C4—732no—
1914C22×C4—734no—
1915C22×C4—734no—
1916C22×C4—732no—
1917C22×C4C23×D7312yes—
1918C22×C4C23×D7311yescharacteristic
1919C22×C4C23×D7314yes—
1920C22×C4C23×D7314yes—
1921C22×C4C23×D7311yescharacteristic
1922C22×C4C23×D7311yescharacteristic
1923C22×C4C23×D7314yes—
1924C22×C4C23×D7312yes—
1925C4⋊C4—732no—
1926C4⋊C4—734no—
1927C4⋊C4—734no—
1928C4⋊C4—734no—
1929C4⋊C4—732no—
1930C4⋊C4—732no—
1931C4⋊C4—734no—
1932C4⋊C4—734no—
1933C4⋊C4—732no—
1934C4⋊C4—732no—
1935C4⋊C4—734no—
1936C4⋊C4—734no—
1937C4⋊C4—732no—
1938C4⋊C4—732no—
1939C4⋊C4—732no—
1940C4⋊C4—732no—
1941C4⋊C4—732no—
1942C4⋊C4—732no—
1943C4⋊C4—732no—
1944C4⋊C4—734no—
1945C4⋊C4—732no—
1946C4⋊C4—732no—
1947C4⋊C4—734no—
1948C4⋊C4—734no—
1949C4⋊C4—734no—
1950C4⋊C4—732no—
1951C4⋊C4—732no—
1952C4⋊C4—732no—
1953C4⋊C4—732no—
1954C4⋊C4—734no—
1955C4⋊C4—734no—
1956C4⋊C4—734no—
1957C4⋊C4—734no—
1958C4⋊C4—731no—
1959C4⋊C4—734no—
1960C4⋊C4—732no—
1961C4⋊C4—732no—
1962C4⋊C4—732no—
1963C4⋊C4—732no—
1964C4⋊C4—732no—
1965C4⋊C4—731no—
1966C4⋊C4—732no—
1967C4⋊C4—731no—
1968C4⋊C4—732no—
1969C4⋊C4—731no—
1970C4⋊C4—734no—
1971C4⋊C4—731no—
1972C4⋊C4—731no—
1973C4⋊C4—734no—
1974C4⋊C4—732no—
1975C4⋊C4—731no—
1976C4⋊C4—732no—
1977C4⋊C4—732no—
1978C4⋊C4—731no—
1979C4⋊C4—734no—
1980C4⋊C4—734no—
1981C4⋊C4C23×D7311yescharacteristic
1982C4⋊C4C23×D7311yescharacteristic
1983C4⋊C4C23×D7312yes—
1984C4⋊C4C23×D7314yes—
1985C4⋊C4C23×D7312yes—
1986C4⋊C4C23×D7312yes—
1987C4⋊C4C23×D7312yes—
1988C4⋊C4C23×D7312yes—
1989C4⋊C4C23×D7314yes—
1990C4⋊C4C23×D7312yes—
1991C22⋊C4—732no—
1992C22⋊C4—734no—
1993C22⋊C4—734no—
1994C22⋊C4—734no—
1995C22⋊C4—732no—
1996C22⋊C4—732no—
1997C22⋊C4—732no—
1998C22⋊C4—732no—
1999C22⋊C4—732no—
2000C22⋊C4—734no—
2001C22⋊C4—734no—
2002C22⋊C4—734no—
2003C22⋊C4—734no—
2004C22⋊C4—734no—
2005C22⋊C4—734no—
2006C22⋊C4—734no—
2007C22⋊C4—734no—
2008C22⋊C4—734no—
2009C22⋊C4—734no—
2010C22⋊C4—734no—
2011C22⋊C4—734no—
2012C22⋊C4—734no—
2013C22⋊C4—734no—
2014C22⋊C4—734no—
2015C22⋊C4—734no—
2016C22⋊C4—734no—
2017C22⋊C4—732no—
2018C22⋊C4—734no—
2019C22⋊C4—732no—
2020C22⋊C4—734no—
2021C22⋊C4—732no—
2022C22⋊C4—732no—
2023C22⋊C4—732no—
2024C22⋊C4—732no—
2025C22⋊C4—732no—
2026C22⋊C4—734no—
2027C22⋊C4—734no—
2028C22⋊C4—734no—
2029C22⋊C4—734no—
2030C22⋊C4—734no—
2031C22⋊C4—734no—
2032C22⋊C4—734no—
2033C22⋊C4—734no—
2034C22⋊C4—732no—
2035C22⋊C4—732no—
2036C22⋊C4—732no—
2037C22⋊C4—732no—
2038C22⋊C4—732no—
2039C22⋊C4C23×D7314yes—
2040C22⋊C4C23×D7314yes—
2041C22⋊C4C23×D7314yes—
2042C22⋊C4C23×D7314yes—
2043C22⋊C4C23×D7312yes—
2044C22⋊C4C23×D7314yes—
2045C22⋊C4C23×D7314yes—
2046C22⋊C4C23×D7314yes—
2047C22⋊C4C23×D7314yes—
2048C22⋊C4C23×D7314yes—
2049C22⋊C4C23×D7314yes—
2050C22⋊C4C23×D7312yes—
2051C22⋊C4C23×D7312yes—
2052C22⋊C4C23×D7314yes—
2053C22⋊C4C23×D7312yes—
2054C22⋊C4C23×D7312yes—
2055C42—732no—
2056C42—732no—
2057C42—734no—
2058C42—732no—
2059C42—734no—
2060C42—734no—
2061C42—732no—
2062C42—734no—
2063C42—732no—
2064C42—732no—
2065C42—732no—
2066C42—732no—
2067C42—734no—
2068C42—734no—
2069C42—732no—
2070C42—732no—
2071C42—734no—
2072C42—734no—
2073C42—734no—
2074C42—734no—
2075C42C23×D7311yescharacteristic
2076C42C23×D7312yes—
2077C42C23×D7311yescharacteristic
2078C42C23×D7311yescharacteristic
2079C42C23×D7311yescharacteristic
2080C42C23×D7314yes—
2081C23—42no—
2082C23—44no—
2083C23—42no—
2084C23—44no—
2085C23—42no—
2086C23—44no—
2087C23—2924no—
2088C23—2924no—
2089C23—2924no—
2090C23—732no—
2091C23—732no—
2092C23C24×D7311yescharacteristic
2093C23C24×D7314yes—
2094C23C24×D7312yes—
2095C23C24×D7314yes—
2096Q8—24no—
2097Q8—42no—
2098Q8—42no—
2099Q8—41no—
2100Q8—2924no—
2101Q8—2924no—
2102Q8—2922no—
2103Q8—2922no—
2104Q8—2922no—
2105Q8—2924no—
2106Q8—2924no—
2107Q8—2921no—
2108Q8—2924no—
2109Q8—2924no—
2110Q8—2922no—
2111Q8—2922no—
2112Q8—1462no—
2113Q8—1464no—
2114D4—24no—
2115D4—24no—
2116D4—44no—
2117D4—42no—
2118D4—42no—
2119D4—44no—
2120D4—44no—
2121D4—44no—
2122D4—42no—
2123D4—44no—
2124D4—41no—
2125D4—42no—
2126D4—44no—
2127D4—2921no—
2128D4—2924no—
2129D4—2922no—
2130D4—2924no—
2131D4—2924no—
2132D4—2924no—
2133D4—2924no—
2134D4—2922no—
2135D4—2924no—
2136D4—2922no—
2137D4—2922no—
2138D4—2924no—
2139D4—1462no—
2140C2×C4—22no—
2141C2×C4—24no—
2142C2×C4—44no—
2143C2×C4—42no—
2144C2×C4—44no—
2145C2×C4—44no—
2146C2×C4—41no—
2147C2×C4—41no—
2148C2×C4—2922no—
2149C2×C4—2924no—
2150C2×C4—2924no—
2151C2×C4—2922no—
2152C2×C4—2922no—
2153C2×C4—2922no—
2154C2×C4—2922no—
2155C2×C4—2924no—
2156C2×C4—2924no—
2157C2×C4—2924no—
2158C2×C4—2924no—
2159C2×C4—2924no—
2160C2×C4—2924no—
2161C2×C4—2922no—
2162C2×C4—2924no—
2163C2×C4—2924no—
2164C2×C4—2922no—
2165C2×C4—732no—
2166C2×C4—732no—
2167C2×C4—732no—
2168C2×C4—732no—
2169C2×C4—732no—
2170C2×C4—734no—
2171C2×C4—732no—
2172C2×C4—732no—
2173C2×C4—734no—
2174C2×C4—732no—
2175C2×C4—732no—
2176C2×C4—732no—
2177C2×C4—1464no—
2178C2×C4C24×D7311yescharacteristic
2179C2×C4C24×D7312yes—
2180C2×C4C24×D7312yes—
2181C2×C4C24×D7314yes—
2182C2×C4C24×D7314yes—
2183C2×C4C24×D7312yes—
2184C2×C4C24×D7311yescharacteristic
2185C2×C4C24×D7311yescharacteristic
2186C2×C4C24×D7311yescharacteristic
2187C2×C4C24×D7311yescharacteristic
2188C2×C4C24×D7311yescharacteristic
2189C22—21no—
2190C22—22no—
2191C22—24no—
2192C22—24no—
2193C22—24no—
2194C22—24no—
2195C22—21no—
2196C22—22no—
2197C22—21no—
2198C22—24no—
2199C22—22no—
2200C22—24no—
2201C22—162no—
2202C22—164no—
2203C22—11684no—
2204C22—1462no—
2205C22—1462no—
2206C22—1462no—
2207C22—1462no—
2208C22—1462no—
2209C22—1462no—
2210C22C25×D7311yescharacteristic
2211C4—22no—
2212C4—21no—
2213C4—24no—
2214C4—21no—
2215C4—22no—
2216C4—24no—
2217C4—21no—
2218C4—21no—
2219C4—21no—
2220C4—22no—
2221C4—1464no—
2222C4—1462no—
2223C4—1462no—
2224C4—1462no—
2225C4—1462no—
2226C4—1462no—
2227C4—1462no—
2228C4—1464no—
2229C4—1462no—
2230C4—1462no—
2231C4—1462no—
2232C4—1462no—
2233C4#1798942212yes—
2234C2—41no—
2235C2—42no—
2236C2—44no—
2237C2—44no—
2238C2—2922no—
2239C2—2922no—
2240C2C2×#1798942211yescharacteristic
2241C2#2262474111yescharacteristic
2242C2#2262474411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3558C2
hypercenter#3558D73
hypocenterC73#63069
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3558

Complements

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

NH ≅ G/Ntype
1. #22624625C2semidirect
2. #22624624C2semidirect
3. #22624624C2semidirect
4. #22624503C2semidirect
5. #22624494C2semidirect
6. #22624493C2semidirect
7. #22624491C2semidirect
8. #22624490C2semidirect
9. #22624490C2semidirect
10. #22624449C2semidirect
11. #22624445C2semidirect
12. #22624345C2semidirect
13. #22624343C2semidirect
14. #22624339C2semidirect
15. #22624286C2semidirect
16. #22624280C2semidirect
17. #22624278C2semidirect
18. #22624076C2semidirect
19. #22624075C2semidirect
20. #22623946C2semidirect
21. #22623944C2semidirect
22. #22623939C2semidirect
23. #22623887C2semidirect
24. #22623883C2semidirect
25. #22623879C2semidirect
26. #22623826C2semidirect
27. #22623825C2semidirect
28. #22623824C2semidirect
29. C73×#3558C2semidirect
30. C73⋊#564C22semidirect
31. #17989341C22semidirect
32. #17989340C22semidirect
33. #17989340C22semidirect
34. #17989340C22semidirect
35. #17989340C22semidirect
36. #17989339C22semidirect
37. #17989339C22semidirect
38. #17989339C22semidirect
39. #17989338C22semidirect
40. #17989338C22semidirect
41. #17989338C22semidirect
42. #17989337C22semidirect
43. #17989337C22semidirect
44. #17989337C22semidirect
45. #17989337C22semidirect
46. #17989334C22semidirect
47. #17989332C22semidirect
48. #17989332C22semidirect
49. #17989332C22semidirect
50. #17989332C22semidirect
51. #17989332C22semidirect
52. #17989331C22semidirect
53. #17989331C22semidirect
54. #17989330C22semidirect
55. #17989330C22semidirect
56. #17989323C22semidirect
57. #17989323C22semidirect
58. #17989323C22semidirect
59. #17989323C22semidirect
60. #17989320C22semidirect
61. #17989319C22semidirect
62. #17989319C22semidirect
63. Q8×Dic146C22semidirect
64. Q8×Dic146C22semidirect
65. #17989317C22semidirect
66. #17989311C22semidirect
67. #17989310C22semidirect
68. #17989309C22semidirect
69. #17989308C22semidirect
70. #17989308C22semidirect
71. #17989308C22semidirect
72. #17989307C22semidirect
73. #17989307C22semidirect
74. #17989307C22semidirect
75. #17989307C22semidirect
76. #17989306C22semidirect
77. #17989306C22semidirect
78. #17989306C22semidirect
79. #17989306C22semidirect
80. #17989306C22semidirect
81. #17989306C22semidirect
82. #17989306C22semidirect
83. #17989306C22semidirect
84. #17989304C22semidirect
85. #17989304C22semidirect
86. #17989304C22semidirect
87. #17989304C22semidirect
88. #17989302C22semidirect
89. #17989301C22semidirect
90. #17989301C22semidirect
91. #17989301C22semidirect
92. #17989301C22semidirect
93. #17989299C22semidirect
94. #17989268C22semidirect
95. #17989268C22semidirect
96. #17989268C22semidirect
97. #17989268C22semidirect
98. #17989268C22semidirect
99. #17989268C22semidirect
100. #17989268C22semidirect
101. #17989267C22semidirect
102. #17989267C22semidirect
103. #17989266C22semidirect
104. #17989266C22semidirect
105. #17989266C22semidirect
106. #17989265C22semidirect
107. #17989263C22semidirect
108. #17989263C22semidirect
109. #17989263C22semidirect
110. #17989263C22semidirect
111. #17989263C22semidirect
112. #17989260C22semidirect
113. #17989260C22semidirect
114. D4×Dic146C22semidirect
115. D4×Dic146C22semidirect
116. D4×Dic146C22semidirect
117. D4×Dic146C22semidirect
118. D4×Dic146C22semidirect
119. #17989252C22semidirect
120. Q8×C22⋊D73C22semidirect
121. #17989250C22semidirect
122. #17989250C22semidirect
123. #17989246C22semidirect
124. #17989245C22semidirect
125. #17989244C22semidirect
126. #17989244C22semidirect
127. #17989243C22semidirect
128. #17989243C22semidirect
129. #17989243C22semidirect
130. #17989234C22semidirect
131. #17989231C22semidirect
132. #17989231C22semidirect
133. #17989231C22semidirect
134. #17989231C22semidirect
135. #17989226C22semidirect
136. #17989225C22semidirect
137. #17989225C22semidirect
138. #17989224C22semidirect
139. #17989224C22semidirect
140. #17989224C22semidirect
141. #17989222C22semidirect
142. D4×C22⋊D73C22semidirect
143. #17989213C22semidirect
144. #17989213C22semidirect
145. #17989212C22semidirect
146. #17989210C22semidirect
147. #17989208C22semidirect
148. #17989207C22semidirect
149. #17989206C22semidirect
150. #17989206C22semidirect
151. #17989206C22semidirect
152. #17989206C22semidirect
153. #17989206C22semidirect
154. #17989206C22semidirect
155. #17989205C22semidirect
156. #17989205C22semidirect
157. #17989205C22semidirect
158. #17989205C22semidirect
159. #17989205C22semidirect
160. #17989204C22semidirect
161. #17989204C22semidirect
162. #17989204C22semidirect
163. #17989204C22semidirect
164. #17989204C22semidirect
165. #17989204C22semidirect
166. #17989204C22semidirect
167. #17989204C22semidirect
168. #17989202C22semidirect
169. #17989202C22semidirect
170. #17989202C22semidirect
171. #17989202C22semidirect
172. #17989201C22semidirect
173. #17989201C22semidirect
174. #17989201C22semidirect
175. #17989201C22semidirect
176. #17989175C22semidirect
177. #17989174C22semidirect
178. #17989174C22semidirect
179. #17989172C22semidirect
180. #17989172C22semidirect
181. #17989172C22semidirect
182. #17989172C22semidirect
183. #17989172C22semidirect
184. #17989172C22semidirect
185. #17989172C22semidirect
186. #17989169C22semidirect
187. #17989169C22semidirect
188. #17989169C22semidirect
189. #17989169C22semidirect
190. #17989161C22semidirect
191. #17989159C22semidirect
192. #17989159C22semidirect
193. #17989159C22semidirect
194. #17989158C22semidirect
195. #17989158C22semidirect
196. #17989157C22semidirect
197. #17989157C22semidirect
200. #17989147C22semidirect
201. #17989146C22semidirect
202. #17989144C22semidirect
203. #17989144C22semidirect
204. #17989143C22semidirect
205. #17989141C22semidirect
206. #17989141C22semidirect
207. #17989140C22semidirect
208. #17989139C22semidirect
209. #17989139C22semidirect
210. #17989139C22semidirect
213. #17989121C22semidirect
214. #17989119C22semidirect
215. #17989118C22semidirect
216. #17989118C22semidirect
217. #17989118C22semidirect
218. #17989117C22semidirect
219. #17989117C22semidirect
220. #17989117C22semidirect
221. #17989117C22semidirect
222. #17989116C22semidirect
223. #17989116C22semidirect
224. #17989116C22semidirect
225. #17989116C22semidirect
226. #17989115C22semidirect
227. #17989114C22semidirect
228. #17989114C22semidirect
229. #17989114C22semidirect
230. C2×#14556578C22semidirect
231. C2×#14556578C22semidirect
232. C2×#14556577C22semidirect
233. #124×D73C22semidirect
234. #124×D73C22semidirect
235. #17989065C22semidirect
236. #17989064C22semidirect
237. #17989063C22semidirect
238. #17989062C22semidirect
239. #17989062C22semidirect
240. #17989059C22semidirect
241. #41×Dic73C22semidirect
242. C4×#11924028C22semidirect
243. C4×#11924027C22semidirect
244. #562×C73C22semidirect
245. H(3,𝔽4)×C73C22semidirect
246. #559×C73C22semidirect
247. #548×C73C22semidirect
248. #546×C73C22semidirect
249. #546×C73C22semidirect
250. D42×C73C22semidirect
251. #542×C73C22semidirect
252. #538×C73C22semidirect
253. #538×C73C22semidirect
255. #534×C73C22semidirect
257. #529×C73C22semidirect
258. C2×#124×C73C22semidirect
1133. #3558D73semidirect
1151. C73#63069semidirect
1176. #562C2×D73semidirect
1179. H(3,𝔽4)C2×D73semidirect
1187. #559C2×D73semidirect
1255. #548C2×D73semidirect
1267. #546C2×D73semidirect
1268. #546C2×D73semidirect
1271. D42C2×D73semidirect
1305. #542C2×D73semidirect
1320. #538C2×D73semidirect
1321. #538C2×D73semidirect
1335. #534C2×D73semidirect
1365. #529C2×D73semidirect
1371. C2×#124C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226246252
#226246242
#226245032
#226244942
#226244932
#226244912
#226244902
#226244492
#226244452
#226243452
#226243432
#226243392
#226242862
#226242802
#226242782
#226240762
#226240752
#226239462
#226239442
#226239392
#226238872
#226238832
#226238792
#226238262
#226238252
#226238242
C73×#35582
#6306973