Finite Group Databasebeta

← #33994611

Subgroups — #33994611

Order 18688.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624240C214yesmaximal, complemented
2#22624232C214yesmaximal, complemented
3#22624168C212yesmaximal, complemented
4#22624163C212yesmaximal, complemented
5#22624157C212yesmaximal, complemented
6#22624152C212yesmaximal, complemented
7#22624124C214yesmaximal, complemented
8#22624113C214yesmaximal, complemented
9#22623955C214yesmaximal, complemented
10#22623953C214yesmaximal, complemented
11#22623762C214yesmaximal, complemented
12#22623691C214yesmaximal, complemented
13#22623657C214yesmaximal, complemented
14#22623632C212yesmaximal, complemented
15#22623620C211yesmaximal, characteristic, complemented
16#22623614C212yesmaximal, complemented
17#22623594C214yesmaximal, complemented
18#22623564C212yesmaximal, complemented
19#22623560C212yesmaximal, complemented
20#22623560C212yesmaximal, complemented
21#525×D73C212yesmaximal, complemented
22C22×#14556564C211yesmaximal, characteristic, complemented
23C73×#3490C211yesmaximal, characteristic, complemented
24C2×#14556637C2212yescomplemented
25C2×#14556636C2212yescomplemented
26C2×#14556636C2212yescomplemented
27C2×#41×D73C2212yescomplemented
28C23×D292C2211yescharacteristic, complemented
29C23×C22⋊D73C2211yescharacteristic, complemented
30C23×C22⋊D73C2211yescharacteristic, complemented
31C23×C4×D73C2211yescharacteristic, complemented
32#17989334C2214yescomplemented
33#17989333C2214yescomplemented
34#17989333C2214yescomplemented
35#17989331C2214yescomplemented
36#17989328C2214yescomplemented
37#17989327C2214yescomplemented
38#17989326C2214yescomplemented
39#17989325C2214yescomplemented
40#17989300C2214yescomplemented
41#17989299C2214yescomplemented
42#17989296C2214yescomplemented
43#17989291C2214yescomplemented
44#17989288C2214yescomplemented
45#17989288C2214yescomplemented
46#17989288C2214yescomplemented
47#17989287C2214yescomplemented
48#17989286C2214yescomplemented
49#17989286C2214yescomplemented
50#17989282C2214yescomplemented
51#17989282C2214yescomplemented
52#17989281C2214yescomplemented
53#17989280C2214yescomplemented
54#17989274C2214yescomplemented
55#17989270C2214yescomplemented
56#17989266C2214yescomplemented
57#17989264C2214yescomplemented
58#17989263C2214yescomplemented
59#17989263C2214yescomplemented
60#17989261C2214yescomplemented
61#17989260C2214yescomplemented
62#17989258C2214yescomplemented
63#17989255C2214yescomplemented
64#17989247C2214yescomplemented
65#17989245C2214yescomplemented
66#17989239C2214yescomplemented
67#17989236C2214yescomplemented
68#17989235C2214yescomplemented
69#17989235C2214yescomplemented
70#17989233C2214yescomplemented
71#17989233C2214yescomplemented
72#17989233C2214yescomplemented
73#17989232C2214yescomplemented
74#17989230C2214yescomplemented
75#17989229C2214yescomplemented
76#17989229C2214yescomplemented
77#17989228C2214yescomplemented
78#17989228C2214yescomplemented
79#17989227C2214yescomplemented
80#17989227C2214yescomplemented
81#17989227C2214yescomplemented
82#17989227C2214yescomplemented
83#17989227C2214yescomplemented
84#17989227C2214yescomplemented
85#17989227C2214yescomplemented
86#17989227C2214yescomplemented
87#17989226C2214yescomplemented
88#17989226C2214yescomplemented
89#17989225C2214yescomplemented
90#17989224C2214yescomplemented
91#17989224C2214yescomplemented
92#17989224C2214yescomplemented
93#17989224C2214yescomplemented
94D4×D292C2214yescomplemented
95D4×D292C2214yescomplemented
96#17989221C2214yescomplemented
97#17989221C2214yescomplemented
98#17989221C2214yescomplemented
99D4×C22⋊D73C2214yescomplemented
100D4×C22⋊D73C2214yescomplemented
101D4×C22⋊D73C2214yescomplemented
102D4×C22⋊D73C2214yescomplemented
103#17989219C2214yescomplemented
104#17989219C2214yescomplemented
105#17989219C2214yescomplemented
106#17989219C2214yescomplemented
107#17989219C2214yescomplemented
108#17989216C2212yescomplemented
109#17989213C2211yescharacteristic, complemented
110#17989212C2212yescomplemented
111#17989207C2214yescomplemented
112#17989203C2214yescomplemented
113#17989192C2214yescomplemented
114#17989189C2214yescomplemented
115#17989189C2214yescomplemented
116#17989189C2214yescomplemented
117#17989188C2214yescomplemented
118#17989187C2214yescomplemented
119#17989186C2212yescomplemented
120#17989183C2214yescomplemented
121#17989182C2212yescomplemented
122#17989179C2214yescomplemented
123#17989178C2214yescomplemented
124#17989177C2212yescomplemented
125#17989176C2214yescomplemented
126#17989175C2212yescomplemented
127#17989175C2212yescomplemented
128#17989175C2214yescomplemented
129#17989174C2212yescomplemented
130#17989173C2214yescomplemented
131#17989171C2214yescomplemented
132#17989171C2214yescomplemented
133#17989170C2214yescomplemented
134#17989170C2214yescomplemented
135#17989167C2214yescomplemented
136#17989167C2214yescomplemented
137#17989166C2214yescomplemented
138#17989164C2212yescomplemented
139#17989164C2214yescomplemented
140#17989156C2212yescomplemented
141#17989155C2214yescomplemented
142#17989152C2214yescomplemented
143#17989152C2214yescomplemented
144#17989152C2214yescomplemented
145#17989151C2212yescomplemented
146#17989149C2212yescomplemented
147#17989149C2212yescomplemented
148#17989149C2211yescharacteristic, complemented
149#17989148C2214yescomplemented
150#17989148C2214yescomplemented
151#17989148C2214yescomplemented
152#17989147C2214yescomplemented
153#17989147C2214yescomplemented
154#17989147C2214yescomplemented
155#17989146C2212yescomplemented
156#17989146C2212yescomplemented
157#17989145C2212yescomplemented
158#17989136C2214yescomplemented
159#17989134C2214yescomplemented
160#17989120C2214yescomplemented
161#17989115C2214yescomplemented
162#17989100C2212yescomplemented
163#17989100C2212yescomplemented
164#17989099C2212yescomplemented
165#17989098C2212yescomplemented
166#17989098C2212yescomplemented
167#17989097C2212yescomplemented
168#17989097C2212yescomplemented
169#17989096C2214yescomplemented
170#17989096C2214yescomplemented
171#17989096C2214yescomplemented
172#17989095C2214yescomplemented
173#17989095C2214yescomplemented
174#17989094C2212yescomplemented
175#17989093C2214yescomplemented
176#17989093C2214yescomplemented
177#123×D73C2214yescomplemented
178C22⋊Q8×D73C2212yescomplemented
179C22⋊Q8×D73C2212yescomplemented
180C2×#14556564C2214yescomplemented
181C2×#14556564C2214yescomplemented
182C2×#14556564C2214yescomplemented
183C2×#14556564C2212yescomplemented
184C2×#14556564C2212yescomplemented
185C2×#14556564C2212yescomplemented
186C2×#14556564C2212yescomplemented
187C2×#14556564C2214yescomplemented
188C2×#14556564C2214yescomplemented
189#121×D73C2212yescomplemented
190#121×D73C2212yescomplemented
191#121×D73C2214yescomplemented
192C2×#14556560C2212yescomplemented
193#120×D73C2214yescomplemented
194#120×D73C2214yescomplemented
195#17989066C2214yescomplemented
196#17989061C2212yescomplemented
197#17989060C2212yescomplemented
198#17989060C2212yescomplemented
199#17989060C2212yescomplemented
200#17989059C2214yescomplemented
201C4×D4×D73C2214yescomplemented
202C4×D4×D73C2214yescomplemented
203#117×D73C2212yescomplemented
204C22×#11924007C2211yescharacteristic, complemented
205C22×#11924005C2211yescharacteristic, complemented
206#551×C73C2214yescomplemented
207#551×C73C2214yescomplemented
208#546×C73C2214yescomplemented
209#546×C73C2214yescomplemented
210#543×C73C2211yescharacteristic, complemented
211#538×C73C2212yescomplemented
212#538×C73C2212yescomplemented
213#534×C73C2211yescharacteristic, complemented
214#525×C73C2212yescomplemented
215#525×C73C2212yescomplemented
216C2×#120×C73C2212yescomplemented
217#518×C73C2212yescomplemented
218C22×C22⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221#14556637—48no—
222#14556636—48no—
223#14556636—48no—
224C2×#11924029C2314yescomplemented
225C2×#11924029C2312yescomplemented
226C2×#11924028C2312yes—
227C2×#11924028C2312yes—
228C2×#11924028C2314yescomplemented
229C2×#11924028C2314yescomplemented
230C2×#11924028C2314yescomplemented
231C2×#11924028C2314yescomplemented
232C2×#11924027C2314yes—
233C2×#11924027C2314yes—
234C2×#11924027C2314yescomplemented
235C2×#11924027C2312yescomplemented
236C2×#11924027C2314yescomplemented
237#41×D73—48no—
238C2×Q8×D73C2312yescomplemented
239C22×D292—44no—
240C22×D292C2312yes—
241C22×D292C2312yes—
242C22×D292C2312yes—
243C22×D292C2314yes—
244C22×D292C2312yes—
245C22×D292C2314yescomplemented
246C22×C22⋊D73—44no—
247C22×C22⋊D73—44no—
248C22×C22⋊D73C2312yes—
249C22×C22⋊D73C2312yes—
250C22×C22⋊D73C2312yes—
251C22×C22⋊D73C2312yes—
252C22×C22⋊D73C2312yes—
253C22×C22⋊D73C2312yes—
254C22×C22⋊D73C2312yes—
255C22×C22⋊D73C2312yes—
256C22×C22⋊D73C2312yes—
257C22×C22⋊D73C2314yes—
258C22×C22⋊D73C2314yes—
259C22×C22⋊D73C2312yes—
260C22×C22⋊D73C2312yes—
261C22×C22⋊D73C2314yescomplemented
262C22×C22⋊D73C2314yescomplemented
263C2×D4×D73C2314yes—
264C2×D4×D73C2314yes—
265C2×D4×D73C2314yes—
266C2×D4×D73C2314yes—
267C2×D4×D73C2314yes—
268C2×D4×D73C2314yes—
269C2×D4×D73C2314yescomplemented
270C2×D4×D73C2314yescomplemented
271C2×D4×D73C2314yescomplemented
272C2×D4×D73C2312yescomplemented
273C23×Dic73C2311yescharacteristic
274C23×Dic73C2311yescharacteristic
275C22×C4×D73—44no—
276C22×C4×D73C2312yes—
277C22×C4×D73C2312yes—
278C22×C4×D73C2312yes—
279C22×C4×D73C2312yes—
280C22×C4×D73C2312yes—
281C22×C4×D73C2312yes—
282C22×C4×D73C2314yescomplemented
283#14556590C2314yescomplemented
284#14556589C2314yescomplemented
285#14556588C2314yescomplemented
286#14556587C2314yescomplemented
287#14556587C2314yescomplemented
288#14556587C2314yescomplemented
289#14556587C2314yescomplemented
290#14556587C2314yescomplemented
291#14556586C2314yescomplemented
292#14556586C2314yescomplemented
293#14556586C2314yescomplemented
294#14556586C2314yescomplemented
295#14556585C2314yescomplemented
296#14556585C2314yescomplemented
297#14556584C2314yescomplemented
298#14556584C2314yescomplemented
299#14556584C2314yescomplemented
300#14556584C2314yescomplemented
301#14556583C2314yescomplemented
302#14556582C2314yescomplemented
303#14556581C2314yescomplemented
304#14556581C2314yescomplemented
305#14556581C2314yescomplemented
306#14556581C2314yescomplemented
307#14556580C2314yescomplemented
308#14556580C2314yescomplemented
309#14556579C2314yescomplemented
310#14556579C2314yescomplemented
311#14556577C2314yescomplemented
312#14556577C2314yescomplemented
313#14556577C2314yescomplemented
314#14556577C2314yescomplemented
315#14556577C2314yescomplemented
316#14556577C2314yescomplemented
317#14556577C2314yescomplemented
318#14556577C2314yescomplemented
319#14556576C2314yescomplemented
320#14556576C2314yescomplemented
321#14556576C2314yescomplemented
322#14556576C2314yescomplemented
323#14556576C2314yescomplemented
324#14556576C2314yescomplemented
325#14556576C2314yescomplemented
326#14556576C2314yescomplemented
327#14556576C2314yescomplemented
328#14556576C2314yescomplemented
329#14556575C2314yes—
330#14556575C2314yes—
331#14556575C2314yescomplemented
332#14556575C2314yescomplemented
333#14556575C2314yescomplemented
334#14556575C2314yescomplemented
335#14556574C2314yes—
336#14556574C2314yes—
337#14556574C2314yescomplemented
338#14556574C2314yescomplemented
339#14556574C2314yescomplemented
340#14556574C2314yescomplemented
341#14556573C2314yescomplemented
342#14556573C2314yescomplemented
343#14556573C2314yescomplemented
344#14556573C2314yescomplemented
345#14556573C2314yescomplemented
346#14556573C2314yescomplemented
347#14556573C2314yescomplemented
348#14556573C2314yescomplemented
349#14556573C2314yescomplemented
350#14556573C2314yescomplemented
351#14556572C2314yes—
352#14556572C2314yes—
353#14556572C2314yescomplemented
354#14556571C2314yescomplemented
355#14556571C2312yescomplemented
356#14556571C2312yescomplemented
357#14556570C2312yes—
358#14556570C2312yes—
359#14556570C2312yes—
360#14556570C2312yes—
361#14556570C2314yescomplemented
362#14556569C2314yescomplemented
363#14556569C2314yescomplemented
364#14556569C2314yescomplemented
365#14556569C2314yescomplemented
366#14556569C2314yescomplemented
367#14556569C2314yescomplemented
368#14556568C2314yes—
369#14556568C2314yes—
370#14556568C2314yes—
371#14556568C2314yes—
372#14556568C2314yescomplemented
373#14556568C2314yescomplemented
374#14556568C2314yescomplemented
375#14556568C2314yescomplemented
376#14556567C2314yescomplemented
377#14556567C2314yescomplemented
378#14556567C2312yescomplemented
379#14556567C2312yescomplemented
380#14556566C2314yescomplemented
381#14556566C2312yescomplemented
382#14556566C2314yescomplemented
383#14556566C2314yescomplemented
384#14556566C2314yescomplemented
385#14556566C2314yescomplemented
386#14556566C2314yescomplemented
387#14556566C2314yescomplemented
388#14556566C2312yescomplemented
389#14556565C2312yes—
390#14556565C2312yes—
391#14556565C2312yes—
392#14556565C2312yes—
393#14556565C2314yescomplemented
394#14556565C2314yescomplemented
395#14556565C2314yescomplemented
396#14556565C2314yescomplemented
397#14556565C2314yescomplemented
398#14556565C2314yescomplemented
399#14556565C2314yescomplemented
400#14556564C2314yes—
401#14556564C2314yes—
402#14556564C2314yes—
403#14556564C2314yes—
404#14556564C2314yes—
405#14556564C2314yes—
406#14556564C2314yes—
407#14556564C2314yes—
408#14556564C2314yes—
409#14556564C2314yes—
410#14556564C2314yes—
411#14556564C2314yes—
412#14556564C2314yes—
413#14556564C2314yes—
414#14556564C2314yes—
415#14556564C2314yes—
416#14556564C2314yescomplemented
417#14556564C2314yescomplemented
418#14556564C2314yescomplemented
419#14556564C2314yescomplemented
420#14556564C2314yescomplemented
421#14556564C2314yescomplemented
422#14556564C2314yescomplemented
423#14556564C2314yescomplemented
424#14556564C2314yescomplemented
425#14556564C2314yescomplemented
426#14556564C2314yescomplemented
427#14556564C2314yescomplemented
428#14556564C2314yescomplemented
429#14556564C2314yescomplemented
430#14556564C2314yescomplemented
431#14556564C2314yescomplemented
432#14556564C2314yescomplemented
433#14556564C2314yescomplemented
434#14556563C2314yes—
435#14556563C2314yes—
436#14556563C2314yes—
437#14556563C2314yes—
438#14556563C2314yescomplemented
439#14556563C2314yescomplemented
440#14556563C2314yescomplemented
441#14556563C2314yescomplemented
442#14556563C2314yescomplemented
443#14556563C2314yescomplemented
444#14556563C2314yescomplemented
445#14556563C2314yescomplemented
446#14556563C2314yescomplemented
447#14556563C2314yescomplemented
448#14556562C2314yescomplemented
449#14556562C2312yescomplemented
450#14556562C2314yescomplemented
451#14556562C2314yescomplemented
452#14556562C2314yescomplemented
453#14556562C2312yescomplemented
454#14556561C2314yes—
455#14556561C2314yes—
456#14556561C2314yes—
457#14556561C2314yes—
458#14556561C2314yes—
459#14556561C2314yes—
460#14556561C2314yescomplemented
461#14556561C2314yescomplemented
462#14556561C2314yescomplemented
463#14556561C2314yescomplemented
464#14556561C2314yescomplemented
465#14556561C2314yescomplemented
466#14556561C2314yescomplemented
467#14556561C2314yescomplemented
468#14556560C2314yes—
469#14556560C2314yes—
470#14556560C2314yes—
471#14556560C2314yes—
472#14556560C2314yescomplemented
473#14556560C2314yescomplemented
474#14556559C2314yes—
475#14556559C2314yes—
476#14556559C2314yes—
477#14556559C2314yes—
478#14556559C2314yes—
479#14556559C2314yes—
480#14556559C2314yescomplemented
481#14556559C2314yescomplemented
482#14556559C2314yescomplemented
483#14556559C2314yescomplemented
484#14556559C2314yescomplemented
485C4×Dic146C2314yescomplemented
486#14556556C2314yescomplemented
487C4×D292C2314yescomplemented
488C4×D292C2314yescomplemented
489C4×D292C2314yescomplemented
490C4×D292C2314yescomplemented
491C4×D292C2314yescomplemented
492D4×Dic73C2314yes—
493D4×Dic73C2314yes—
494D4×Dic73C2314yes—
495D4×Dic73C2314yes—
496#14556553C2314yescomplemented
497#14556553C2314yescomplemented
498#14556553C2314yescomplemented
499#14556553C2314yescomplemented
500#14556553C2314yescomplemented
501C4×C22⋊D73C2314yes—
502C4×C22⋊D73C2314yes—
503C4×C22⋊D73C2314yes—
504C4×C22⋊D73C2314yes—
505C4×C22⋊D73C2314yescomplemented
506C4×C22⋊D73C2314yescomplemented
507C4×C22⋊D73C2314yescomplemented
508C4×C22⋊D73C2314yescomplemented
509C4×C22⋊D73C2314yescomplemented
510C4×C22⋊D73C2314yescomplemented
511C4×C22⋊D73C2314yescomplemented
512C4×C22⋊D73C2314yescomplemented
513#14556551C2314yes—
514#14556551C2314yes—
515#14556551C2314yes—
516#14556551C2314yes—
517#14556551C2314yescomplemented
518#14556551C2314yescomplemented
519#14556551C2314yescomplemented
520#14556551C2314yescomplemented
521#14556551C2314yescomplemented
522#14556551C2314yescomplemented
523#14556551C2314yescomplemented
524#14556551C2314yescomplemented
525#14556551C2314yescomplemented
526#14556551C2314yescomplemented
527#14556550C2312yes—
528#14556550C2312yes—
529#14556549C2314yescomplemented
530#14556549C2312yescomplemented
531#14556549C2312yescomplemented
532#14556548C2314yescomplemented
533#14556548C2314yescomplemented
534#14556548C2314yescomplemented
535#14556547C2314yes—
536#14556547C2314yes—
537#14556547C2314yescomplemented
538#14556547C2314yescomplemented
539C2×#11924007C2312yes—
540C2×#11924007C2312yes—
541C2×#11924007C2314yes—
542C2×#11924007C2312yes—
543C2×#11924007C2312yes—
544C2×#11924007C2314yescomplemented
545C4⋊C4×D73C2314yescomplemented
546C4⋊C4×D73C2314yescomplemented
547C4⋊C4×D73C2312yescomplemented
548C4⋊C4×D73C2314yescomplemented
549C4⋊C4×D73C2312yescomplemented
550C2×C22⋊Dic73C2312yes—
551C2×C22⋊Dic73C2312yes—
552C2×C22⋊Dic73C2312yes—
553C2×#11924005C2312yes—
554C2×#11924005C2312yes—
555C2×#11924005C2314yes—
556C2×#11924005C2314yes—
557C2×#11924005C2314yescomplemented
558C22⋊C4×D73C2314yes—
559C22⋊C4×D73C2314yes—
560C22⋊C4×D73C2314yes—
561C22⋊C4×D73C2314yes—
562C22⋊C4×D73C2314yes—
563C22⋊C4×D73C2314yes—
564C22⋊C4×D73C2314yescomplemented
565C22⋊C4×D73C2314yescomplemented
566C22⋊C4×D73C2314yescomplemented
567C22⋊C4×D73C2314yescomplemented
568C42×D73C2314yescomplemented
569C25×C73C2311yescharacteristic
570C2×#41×C73C2312yes—
571C2×#41×C73C2312yes—
572C22×D4×C73C2312yes—
573C22×D4×C73C2312yes—
574C22×D4×C73C2312yes—
575C23×C4×C73C2311yescharacteristic
576C23×C4×C73C2311yescharacteristic
577#126×C73C2314yescomplemented
578#126×C73C2314yescomplemented
579#124×C73C2314yescomplemented
580#124×C73C2314yescomplemented
581#123×C73C2314yes—
582#123×C73C2314yes—
583#123×C73C2314yescomplemented
584#123×C73C2314yescomplemented
585#123×C73C2314yescomplemented
586C22⋊Q8×C73C2312yes—
587C22⋊Q8×C73C2312yes—
588C22⋊Q8×C73C2312yes—
589C22⋊Q8×C73C2312yes—
590C22⋊Q8×C73C2314yescomplemented
591C22⋊Q8×C73C2314yescomplemented
592#121×C73C2312yes—
593#121×C73C2312yes—
594#121×C73C2312yes—
595#121×C73C2312yes—
596#121×C73C2314yescomplemented
597#121×C73C2314yescomplemented
598#120×C73C2314yes—
599#120×C73C2314yes—
600#120×C73C2314yes—
601#120×C73C2314yes—
602#120×C73C2314yescomplemented
603C4×D4×C73C2314yes—
604C4×D4×C73C2314yes—
605C4×D4×C73C2314yes—
606C4×D4×C73C2314yes—
607C4×D4×C73C2314yescomplemented
608C4×D4×C73C2314yescomplemented
609#117×C73C2312yes—
610#117×C73C2312yes—
611#117×C73C2314yescomplemented
612C2×C22⋊C4×C73C2311yescharacteristic
613C2×C22⋊C4×C73C2312yes—
614C2×C22⋊C4×C73C2312yes—
615C2×C22⋊C4×C73C2311yescharacteristic
616C2×C22⋊C4×C73C2311yescharacteristic
617C2×C22⋊C4×C73C2312yes—
618C2×C22⋊C4×C73C2314yes—
619C2×C22⋊C4×C73C2314yes—
620C2×C22⋊C4×C73C2311yescharacteristic
621C2×C22⋊C4×C73C2314yescomplemented
622C23×D73—24no—
623C23×D73—42no—
624C23×D73—42no—
625C23×D73—42no—
626C23×D73—42no—
627C23×D73—42no—
628C23×D73C2412yes—
629C23×D73C2412yes—
630C23×D73C2412yes—
631C23×D73C2412yes—
632C23×D73C2412yes—
633C23×D73C2414yes—
634C23×D73C2411yescharacteristic
635C23×D73C2412yes—
636C23×D73C2414yes—
637C23×D73C2411yescharacteristic
638#11924029—44no—
639#11924029—48no—
640#11924028—48no—
641#11924028—48no—
642#11924028—48no—
643#11924028—48no—
644#11924028—44no—
645#11924028—44no—
646#11924027—216no—
647#11924027—48no—
648#11924027—44no—
649#11924027—48no—
650#11924027—48no—
651C2×Dic146C2414yes—
652C2×Dic146C2414yes—
653C2×Dic146C2412yes—
654C2×Dic146C2412yes—
655Q8×D73—44no—
656C2×D292—28no—
657C2×D292—44no—
658C2×D292—48no—
659C2×D292—44no—
660C2×D292—48no—
661C2×D292—44no—
662C2×D292C2414yes—
663C2×D292C2414yes—
664C2×D292C2414yes—
665C2×D292C2414yes—
666C2×D292C2414yes—
667C2×D292C2414yes—
668C2×D292C2414yes—
669C2×D292C2414yes—
670C2×D292C2412yes—
671C2×D292C2412yes—
672C2×D292C2414yes—
673C2×D292C2414yes—
674C2×C22⋊D73—28no—
675C2×C22⋊D73—28no—
676C2×C22⋊D73—44no—
677C2×C22⋊D73—48no—
678C2×C22⋊D73—44no—
679C2×C22⋊D73—48no—
680C2×C22⋊D73—44no—
681C2×C22⋊D73—44no—
682C2×C22⋊D73—44no—
683C2×C22⋊D73—48no—
684C2×C22⋊D73—44no—
685C2×C22⋊D73—48no—
686C2×C22⋊D73—44no—
687C2×C22⋊D73—44no—
688C2×C22⋊D73—44no—
689C2×C22⋊D73C2414yes—
690C2×C22⋊D73C2414yes—
691C2×C22⋊D73C2414yes—
692C2×C22⋊D73C2414yes—
693C2×C22⋊D73C2414yes—
694C2×C22⋊D73C2414yes—
695C2×C22⋊D73C2414yes—
696C2×C22⋊D73C2414yes—
697C2×C22⋊D73C2414yes—
698C2×C22⋊D73C2414yes—
699C2×C22⋊D73C2414yes—
700C2×C22⋊D73C2414yes—
701C2×C22⋊D73C2414yes—
702C2×C22⋊D73C2414yes—
703C2×C22⋊D73C2414yes—
704C2×C22⋊D73C2414yes—
705C2×C22⋊D73C2414yes—
706C2×C22⋊D73C2414yes—
707C2×C22⋊D73C2414yes—
708C2×C22⋊D73C2414yes—
709C2×C22⋊D73C2414yes—
710C2×C22⋊D73C2414yes—
711D4×D73—216no—
712D4×D73—44no—
713D4×D73—48no—
714D4×D73—48no—
715D4×D73—48no—
716D4×D73—48no—
717D4×D73—48no—
718D4×D73—48no—
719D4×D73—48no—
720D4×D73—48no—
721C22×Dic73—24no—
722C22×Dic73—42no—
723C22×Dic73C2412yes—
724C22×Dic73C2412yes—
725C22×Dic73C2412yes—
726C22×Dic73C2411yescharacteristic
727C22×Dic73C2414yes—
728C22×Dic73C2412yes—
729C22×Dic73C2412yes—
730C22×Dic73C2414yes—
731C22×Dic73C2412yes—
732C22×Dic73C2412yes—
733C22×Dic73C2412yes—
734C22×Dic73C2411yescharacteristic
735C2×C4×D73—28no—
736C2×C4×D73—44no—
737C2×C4×D73—44no—
738C2×C4×D73—44no—
739C2×C4×D73—44no—
740C2×C4×D73—48no—
741C2×C4×D73—44no—
742C2×C4×D73C2412yes—
743C2×C4×D73C2414yes—
744C2×C4×D73C2412yes—
745C2×C4×D73C2414yes—
746C2×C4×D73C2412yes—
747C2×C4×D73C2412yes—
748C2×C4×D73C2414yes—
749C2×C4×D73C2414yes—
750C2×C4×D73C2414yes—
751C2×C4×D73C2414yes—
752C2×C4×D73C2414yes—
753C2×C4×D73C2412yes—
754C2×C4×D73C2412yes—
755C2×C4×D73C2414yes—
756C2×C4×D73C2414yes—
757C2×C4×D73C2414yes—
758C2×C4×D73C2412yes—
759C2×C4×D73C2412yes—
760C4⋊Dic73C2412yes—
761C4⋊Dic73C2412yes—
762C4⋊Dic73C2414yes—
763C4⋊Dic73C2414yes—
764C4⋊Dic73C2414yes—
765C4⋊Dic73C2414yes—
766C4⋊Dic73C2412yes—
767C4⋊Dic73C2412yes—
768#11924007C2414yes—
769#11924007C2414yes—
770#11924007C2414yes—
771#11924007C2414yes—
772#11924007C2414yes—
773#11924007C2414yes—
774#11924007C2414yes—
775#11924007C2414yes—
776#11924007C2414yes—
777#11924007C2414yes—
778#11924007C2414yes—
779#11924007C2414yes—
780#11924007C2414yes—
781#11924007C2414yes—
782#11924007C2414yes—
783#11924007C2414yes—
784C22⋊Dic73C2414yes—
785C22⋊Dic73C2414yes—
786C22⋊Dic73C2414yes—
787C22⋊Dic73C2414yes—
788C22⋊Dic73C2414yes—
789C22⋊Dic73C2414yes—
790C22⋊Dic73C2414yes—
791C22⋊Dic73C2414yes—
792C22⋊Dic73C2414yes—
793C22⋊Dic73C2414yes—
794#11924005C2414yes—
795#11924005C2414yes—
796#11924005C2414yes—
797#11924005C2414yes—
798#11924005C2414yes—
799#11924005C2414yes—
800#11924005C2414yes—
801#11924005C2414yes—
802#11924005C2414yes—
803#11924005C2414yes—
804#11924005C2414yes—
805#11924005C2414yes—
806#11924005C2414yes—
807#11924005C2414yes—
808#11924005C2414yes—
809#11924005C2414yes—
810#11924005C2414yes—
811#11924005C2414yes—
812#11924005C2414yes—
813#11924005C2414yes—
814#11924005C2414yes—
815#11924005C2414yes—
816#11924005C2414yes—
817#11924005C2414yes—
818C4×Dic73C2414yes—
819C4×Dic73C2414yes—
820C4×Dic73C2414yes—
821C4×Dic73C2414yes—
822C4×Dic73C2414yes—
823C4×Dic73C2414yes—
824C24×C73—42no—
825C24×C73—42no—
826C24×C73—42no—
827C24×C73C2411yescharacteristic
828C24×C73C2411yescharacteristic
829C24×C73C2412yes—
830C24×C73C2412yes—
831C24×C73C2411yescharacteristic
832C24×C73C2412yes—
833#41×C73—44no—
834#41×C73—44no—
835C2×Q8×C73C2412yes—
836C2×Q8×C73C2412yes—
837C2×D4×C73—44no—
838C2×D4×C73—44no—
839C2×D4×C73—44no—
840C2×D4×C73C2414yes—
841C2×D4×C73C2414yes—
842C2×D4×C73C2414yes—
843C2×D4×C73C2414yes—
844C2×D4×C73C2414yes—
845C2×D4×C73C2414yes—
846C2×D4×C73C2412yes—
847C2×D4×C73C2412yes—
848C22×C4×C73—42no—
849C22×C4×C73—42no—
850C22×C4×C73C2412yes—
851C22×C4×C73C2412yes—
852C22×C4×C73C2412yes—
853C22×C4×C73C2411yescharacteristic
854C22×C4×C73C2411yescharacteristic
855C22×C4×C73C2412yes—
856C22×C4×C73C2412yes—
857C22×C4×C73C2412yes—
858C22×C4×C73C2412yes—
859C22×C4×C73C2411yescharacteristic
860C22×C4×C73C2411yescharacteristic
861C22×C4×C73C2414yes—
862C22×C4×C73C2414yes—
863C4⋊C4×C73C2412yes—
864C4⋊C4×C73C2412yes—
865C4⋊C4×C73C2412yes—
866C4⋊C4×C73C2412yes—
867C4⋊C4×C73C2414yes—
868C4⋊C4×C73C2414yes—
869C4⋊C4×C73C2414yes—
870C4⋊C4×C73C2414yes—
871C22⋊C4×C73C2414yes—
872C22⋊C4×C73C2414yes—
873C22⋊C4×C73C2414yes—
874C22⋊C4×C73C2414yes—
875C22⋊C4×C73C2414yes—
876C22⋊C4×C73C2414yes—
877C22⋊C4×C73C2414yes—
878C22⋊C4×C73C2414yes—
879C22⋊C4×C73C2414yes—
880C22⋊C4×C73C2414yes—
881C22⋊C4×C73C2414yes—
882C22⋊C4×C73C2414yes—
883C22⋊C4×C73C2414yes—
884C22⋊C4×C73C2414yes—
885C42×C73C2414yes—
886C42×C73C2414yes—
887C23×C73—22no—
888C23×C73—22no—
889C23×C73—22no—
890C23×C73—24no—
891C23×C73—24no—
892C23×C73—22no—
893C23×C73—22no—
894C23×C73—42no—
895C23×C73—42no—
896C23×C73—41no—
897C23×C73—42no—
898C23×C73—41no—
899C23×C73—41no—
900C23×C73—42no—
901C23×C73—41no—
902C23×C73—42no—
903C23×C73—42no—
904C23×C73—42no—
905C23×C73—88no—
906C23×C73C2512yes—
907C23×C73C2512yes—
908C23×C73C2514yes—
909C23×C73C2511yescharacteristic
910C23×C73C2511yescharacteristic
911C23×C73C2511yescharacteristic
912C22×D73—24no—
913C22×D73—22no—
914C22×D73—24no—
915C22×D73—24no—
916C22×D73—24no—
917C22×D73—24no—
918C22×D73—24no—
919C22×D73—24no—
920C22×D73—28no—
921C22×D73—41no—
922C22×D73—42no—
923C22×D73—41no—
924C22×D73—41no—
925C22×D73—42no—
926C22×D73—41no—
927C22×D73—44no—
928C22×D73—44no—
929C22×D73—42no—
930C22×D73—42no—
931C22×D73—42no—
932C22×D73—42no—
933C22×D73—42no—
934C22×D73—42no—
935C22×D73—42no—
936C22×D73—44no—
937C22×D73—42no—
938C22×D73—44no—
939C22×D73—44no—
940C22×D73—42no—
941C22×D73—416no—
942C22×D73—88no—
943C22×D73H(5,𝔽2)14yescomplemented
944C22×D73C2514yes—
945C22×D73C2512yes—
946C22×D73C2514yes—
947C22×D73C2512yes—
948Q8×C73—42no—
949Q8×C73—42no—
950D4×C73—28no—
951D4×C73—28no—
952D4×C73—28no—
953D4×C73—44no—
954D4×C73—44no—
955D4×C73—44no—
956D4×C73—42no—
957D4×C73—42no—
958C2×C4×C73—24no—
959C2×C4×C73—24no—
960C2×C4×C73—41no—
961C2×C4×C73—42no—
962C2×C4×C73—41no—
963C2×C4×C73—41no—
964C2×C4×C73—42no—
965C2×C4×C73—41no—
966C2×C4×C73—42no—
967C2×C4×C73—42no—
968C2×C4×C73—42no—
969C2×C4×C73—44no—
970C2×C4×C73—44no—
971C2×C4×C73C2514yes—
972C2×C4×C73C2512yes—
973C2×C4×C73C2512yes—
974C2×C4×C73C2514yes—
975C2×C4×C73C2514yes—
976C2×C4×C73C2512yes—
977C2×C4×C73C2512yes—
978C22⋊D73—28no—
979C22⋊D73—28no—
980C22⋊D73—28no—
981C22⋊D73—28no—
982C22⋊D73—28no—
983C22⋊D73—28no—
984C22⋊D73—28no—
985C22⋊D73—28no—
986C22⋊D73—28no—
987C22⋊D73—44no—
988C22⋊D73—44no—
989C22⋊D73—44no—
990C22⋊D73—44no—
991C22⋊D73—44no—
992C22⋊D73—44no—
993C22⋊D73—44no—
994C22⋊D73—44no—
995C22⋊D73—44no—
996C22⋊D73—44no—
997C22⋊D73—44no—
998C22⋊D73—44no—
999C22⋊D73—44no—
1000C2×Dic73—22no—
1001C2×Dic73—24no—
1002C2×Dic73—24no—
1003C2×Dic73—24no—
1004C2×Dic73—28no—
1005C2×Dic73—42no—
1006C2×Dic73—42no—
1007C2×Dic73—42no—
1008C2×Dic73—42no—
1009C2×Dic73—42no—
1010C2×Dic73—44no—
1011C2×Dic73H(5,𝔽2)14yescomplemented
1012C2×Dic73C2514yes—
1013C2×Dic73C2514yes—
1014C2×Dic73C2514yes—
1015C2×Dic73C2514yes—
1016C2×Dic73C2512yes—
1017C2×Dic73C2512yes—
1018D292—28no—
1019D292—28no—
1020D292—28no—
1021D292—44no—
1022D292—44no—
1023D292—44no—
1024D292—44no—
1025D292—44no—
1026D292—42no—
1027D292—44no—
1028D292—44no—
1029D292—42no—
1030C4×D73—28no—
1031C4×D73—24no—
1032C4×D73—24no—
1033C4×D73—24no—
1034C4×D73—24no—
1035C4×D73—28no—
1036C4×D73—42no—
1037C4×D73—42no—
1038C4×D73—42no—
1039C4×D73—42no—
1040C4×D73—44no—
1041C4×D73—44no—
1042C4×D73—44no—
1043C4×D73—44no—
1044C4×D73—44no—
1045C4×D73—44no—
1046C4×D73—44no—
1047C4×D73—44no—
1048Dic146—28no—
1049Dic146—42no—
1050Dic146—44no—
1051Dic146—42no—
1052C22×C73—28no—
1053C22×C73—21no—
1054C22×C73—21no—
1055C22×C73—21no—
1056C22×C73—21no—
1057C22×C73—21no—
1058C22×C73—21no—
1059C22×C73—24no—
1060C22×C73—22no—
1061C22×C73—22no—
1062C22×C73—24no—
1063C22×C73—22no—
1064C22×C73—22no—
1065C22×C73—22no—
1066C22×C73—24no—
1067C22×C73—22no—
1068C22×C73—84no—
1069C22×C73—84no—
1070C22×C73—82no—
1071C22×C73—82no—
1072C22×C73—162no—
1073C22×C73C2×H(5,𝔽2)12yes—
1074C22×C73C2×H(5,𝔽2)12yes—
1075C22×C73#58512yes—
1076C22×C73C2611yescharacteristic
1077C2×D73—22no—
1078C2×D73—22no—
1079C2×D73—22no—
1080C2×D73—24no—
1081C2×D73—24no—
1082C2×D73—24no—
1083C2×D73—24no—
1084C2×D73—22no—
1085C2×D73—24no—
1086C2×D73—24no—
1087C2×D73—22no—
1088C2×D73—44no—
1089C2×D73—48no—
1090C2×D73—48no—
1091C2×D73—44no—
1092C2×D73—88no—
1093C2×D73—84no—
1094C2×D73—84no—
1095C2×D73—84no—
1096C2×D73—164no—
1097C2×D73—162no—
1098C2×D73C2×H(5,𝔽2)14yes—
1099C4×C73—24no—
1100C4×C73—22no—
1101C4×C73—24no—
1102C4×C73—22no—
1103C4×C73—22no—
1104C4×C73—22no—
1105C4×C73—24no—
1106Dic73—24no—
1107Dic73—24no—
1108Dic73—24no—
1109Dic73—22no—
1110Dic73—24no—
1111Dic73C2×H(5,𝔽2)14yes—
1112#62818—731nomaximal, Sylow
1113C2×C73—22no—
1114C2×C73—22no—
1115C2×C73—22no—
1116C2×C73—44no—
1117C2×C73—42no—
1118C2×C73—42no—
1119C2×C73C22×H(5,𝔽2)11yescharacteristic
1120C2×C73C22×H(5,𝔽2)11yescharacteristic
1121C2×C73C2×#58511yescharacteristic
1122D73—24no—
1123D73—42no—
1124D73—44no—
1125D73—44no—
1126#3542—734no—
1127#3542—734no—
1128#3537—732no—
1129#3537—732no—
1130#3536—732no—
1131#3536—732no—
1132#3534—734no—
1133#3534—734no—
1134#3519—734no—
1135#3519—734no—
1136#3505—734no—
1137#3496—734no—
1138#3494—734no—
1139#3492—732no—
1140#3490—732no—
1141#3490—731no—
1142#3490D7311yescharacteristic, complemented
1143#3488—734no—
1144#3484—732no—
1145#3484—732no—
1146#3484—732no—
1147C2×#525—732no—
1148C22×#121—731no—
1149C73#6281811yescharacteristic, complemented, Sylow
1150C2×H(5,𝔽2)—732no—
1151C2×H(5,𝔽2)—732no—
1152C2×H(5,𝔽2)—732no—
1153C22×#41—732no—
1154C23×D4—731no—
1155C23×D4—731no—
1156C23×D4—731no—
1157C24×C4—731no—
1158#562—734no—
1159#562—734no—
1160#562—734no—
1161#562—734no—
1162#560—734no—
1163#560—734no—
1164#560—734no—
1165#560—734no—
1166#555—734no—
1167#555—734no—
1168#554—734no—
1169#554—734no—
1170#553—734no—
1171#553—734no—
1172#553—734no—
1173#553—734no—
1174#553—734no—
1175#553—734no—
1176#553—734no—
1177#553—734no—
1178#553—734no—
1179#553—734no—
1180#552—734no—
1181#552—734no—
1182#551—734no—
1183#551—734no—
1184#551—734no—
1185#551—734no—
1186#551—734no—
1187#551—734no—
1188#551C2×D7314yescomplemented
1189#551C2×D7314yescomplemented
1190#550—734no—
1191#550—734no—
1192#548—734no—
1193#548—734no—
1194#547—734no—
1195#547—734no—
1196#547—734no—
1197#547—734no—
1198#546—734no—
1199#546—734no—
1200#546—734no—
1201#546—734no—
1202#546—734no—
1203#546—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—
1214#546—734no—
1215#546—734no—
1216#546—734no—
1217#546—734no—
1218#546—734no—
1219#546—734no—
1220#546—734no—
1221#546—734no—
1222#546C2×D7314yescomplemented
1223#546C2×D7314yescomplemented
1224D42—734no—
1225D42—734no—
1226D42—734no—
1227D42—734no—
1228D42—734no—
1229D42—734no—
1230D42—734no—
1231D42—734no—
1232D42—734no—
1233D42—734no—
1234D42—734no—
1235D42—734no—
1236D42—734no—
1237D42—734no—
1238#544—732no—
1239#543—732no—
1240#543—731no—
1241#543C2×D7311yescharacteristic, complemented
1242#542—734no—
1243#542—734no—
1244#540—734no—
1245#540—734no—
1246#540—734no—
1247#540—734no—
1248#540—734no—
1249#540—734no—
1250#539—734no—
1251#539—732no—
1252#539—734no—
1253#539—732no—
1254#539—734no—
1255#538—734no—
1256#538—734no—
1257#538—734no—
1258#538—734no—
1259#538—732no—
1260#538—732no—
1261#538—734no—
1262#538—734no—
1263#538—732no—
1264#538—732no—
1265#538—734no—
1266#538C2×D7312yescomplemented
1267#538C2×D7312yescomplemented
1268#537—734no—
1269#537—734no—
1270#537—732no—
1271#537—734no—
1272#537—734no—
1273#535—732no—
1274#535—734no—
1275#535—734no—
1276#535—734no—
1277#535—734no—
1278#535—732no—
1279#534—732no—
1280#534—732no—
1281#534—734no—
1282#534—734no—
1283#534—734no—
1284#534—732no—
1285#534—734no—
1286#534—734no—
1287#534—734no—
1288#534—732no—
1289#534—732no—
1290#534—731no—
1291#534C2×D7311yescharacteristic, complemented
1292#532—734no—
1293#532—734no—
1294#529—734no—
1295#529—734no—
1296#525—732no—
1297#525—732no—
1298#525—732no—
1299#525—734no—
1300#525—734no—
1301#525—732no—
1302#525—732no—
1303#525—732no—
1304#525—732no—
1305#525—734no—
1306#525—734no—
1307#525—734no—
1308#525—734no—
1309#525—734no—
1310#525—732no—
1311#525C2×D7312yescomplemented
1312#525C2×D7312yescomplemented
1313C2×#123—734no—
1314C2×C22⋊Q8—732no—
1315C2×C22⋊Q8—732no—
1316C2×#121—732no—
1317C2×#121—732no—
1318C2×#121—734no—
1319C2×#121—734no—
1320C2×#121—734no—
1321C2×#121—732no—
1322C2×#121—732no—
1323C2×#121—734no—
1324C2×#121—732no—
1325C2×#121—732no—
1326C2×#121—734no—
1327C2×#121—734no—
1328C2×#120—732no—
1329C2×#120—734no—
1330C2×#120—734no—
1331C2×#120C2×D7312yescomplemented
1332#520—734no—
1333#518—734no—
1334#518—732no—
1335#518—732no—
1336#518—732no—
1337#518—732no—
1338#518C2×D7312yescomplemented
1339C2×C4×D4—734no—
1340C2×C4×D4—734no—
1341C2×#117—732no—
1342C22×C4⋊C4—731no—
1343C22×C22⋊C4—731no—
1344C22×C22⋊C4C2×D7311yescharacteristic, complemented
1345C25—731no—
1346C25—731no—
1347C25C22×D7311yescharacteristic
1348H(5,𝔽2)—2928no—
1349H(5,𝔽2)—2928no—
1350H(5,𝔽2)—2928no—
1351C2×#41—2928no—
1352C2×#41—732no—
1353C2×#41—734no—
1354C2×#41—732no—
1355C2×#41—734no—
1356C2×#41—734no—
1357C2×#41—734no—
1358C2×#41—734no—
1359C2×#41—732no—
1360C2×#41—734no—
1361C2×#41—732no—
1362C2×#41—734no—
1363C2×#41—734no—
1364C2×#41—734no—
1365C2×#41C22×D7312yes—
1366C2×#41C22×D7312yes—
1367C22×Q8—732no—
1368C22×D4—2924no—
1369C22×D4—2924no—
1370C22×D4—2924no—
1371C22×D4—732no—
1372C22×D4—732no—
1373C22×D4—732no—
1374C22×D4—732no—
1375C22×D4—732no—
1376C22×D4—732no—
1377C22×D4—734no—
1378C22×D4—732no—
1379C22×D4—732no—
1380C22×D4—734no—
1381C22×D4—732no—
1382C22×D4—734no—
1383C22×D4—734no—
1384C22×D4—734no—
1385C22×D4—734no—
1386C22×D4—734no—
1387C22×D4—734no—
1388C22×D4—734no—
1389C22×D4—732no—
1390C22×D4—734no—
1391C22×D4—734no—
1392C22×D4—734no—
1393C22×D4—732no—
1394C22×D4—732no—
1395C22×D4—734no—
1396C22×D4—732no—
1397C22×D4—732no—
1398C22×D4—734no—
1399C22×D4—732no—
1400C22×D4—734no—
1401C22×D4—732no—
1402C22×D4C22×D7312yes—
1403C22×D4C22×D7312yes—
1404C22×D4C22×D7312yes—
1405C23×C4—2924no—
1406C23×C4—731no—
1407C23×C4—732no—
1408C23×C4—732no—
1409C23×C4—734no—
1410C23×C4—732no—
1411C23×C4—732no—
1412C23×C4—732no—
1413C23×C4—731no—
1414C23×C4—732no—
1415C23×C4C22×D7311yescharacteristic
1416C23×C4C22×D7311yescharacteristic
1417C4⋊Q8—734no—
1418C4⋊Q8—734no—
1419#127—734no—
1420#127—734no—
1421#127—734no—
1422#127—734no—
1423#127—734no—
1424#127—734no—
1425#126—734no—
1426#126—734no—
1427#126—734no—
1428#126—734no—
1429#126—734no—
1430#126—734no—
1431#126—734no—
1432#126—734no—
1433#126—734no—
1434#126—734no—
1435#126C22×D7314yescomplemented
1436#126C22×D7314yescomplemented
1437#125—734no—
1438#125—734no—
1439#125—734no—
1440#125—734no—
1441#125—734no—
1442#125—734no—
1443#124—734no—
1444#124—734no—
1445#124—734no—
1446#124—734no—
1447#124—734no—
1448#124—734no—
1449#124—734no—
1450#124—734no—
1451#124—734no—
1452#124—734no—
1453#124—734no—
1454#124—734no—
1455#124C22×D7314yescomplemented
1456#124C22×D7314yescomplemented
1457#123—734no—
1458#123—734no—
1459#123—734no—
1460#123—734no—
1461#123—734no—
1462#123—734no—
1463#123—734no—
1464#123—734no—
1465#123—734no—
1466#123—734no—
1467#123—734no—
1468#123—734no—
1469#123—734no—
1470#123—734no—
1471#123—734no—
1472#123—734no—
1473#123—734no—
1474#123—734no—
1475#123—734no—
1476#123—734no—
1477#123—734no—
1478#123—734no—
1479#123—734no—
1480#123—734no—
1481#123—734no—
1482#123—734no—
1483#123—734no—
1484#123—734no—
1485#123—734no—
1486#123—734no—
1487#123—734no—
1488#123—734no—
1489#123—734no—
1490#123—734no—
1491#123—734no—
1492#123C22×D7314yes—
1493#123C22×D7314yes—
1494#123C22×D7314yescomplemented
1495#123C22×D7314yescomplemented
1496#123C22×D7314yescomplemented
1497C22⋊Q8—732no—
1498C22⋊Q8—732no—
1499C22⋊Q8—734no—
1500C22⋊Q8—734no—
1501C22⋊Q8—732no—
1502C22⋊Q8—732no—
1503C22⋊Q8—732no—
1504C22⋊Q8—732no—
1505C22⋊Q8—734no—
1506C22⋊Q8—734no—
1507C22⋊Q8—734no—
1508C22⋊Q8—732no—
1509C22⋊Q8—732no—
1510C22⋊Q8—734no—
1511C22⋊Q8—734no—
1512C22⋊Q8—734no—
1513C22⋊Q8—734no—
1514C22⋊Q8—734no—
1515C22⋊Q8—734no—
1516C22⋊Q8—734no—
1517C22⋊Q8—734no—
1518C22⋊Q8—734no—
1519C22⋊Q8—734no—
1520C22⋊Q8—734no—
1521C22⋊Q8—734no—
1522C22⋊Q8—734no—
1523C22⋊Q8C22×D7312yes—
1524C22⋊Q8C22×D7312yes—
1525C22⋊Q8C22×D7312yes—
1526C22⋊Q8C22×D7312yes—
1527C22⋊Q8C22×D7314yescomplemented
1528C22⋊Q8C22×D7314yescomplemented
1529#121—732no—
1530#121—734no—
1531#121—734no—
1532#121—732no—
1533#121—734no—
1534#121—734no—
1535#121—734no—
1536#121—734no—
1537#121—734no—
1538#121—734no—
1539#121—734no—
1540#121—734no—
1541#121—734no—
1542#121—734no—
1543#121—734no—
1544#121—734no—
1545#121—734no—
1546#121—734no—
1547#121—734no—
1548#121—734no—
1549#121—732no—
1550#121—732no—
1551#121—734no—
1552#121—732no—
1553#121—732no—
1554#121—734no—
1555#121—734no—
1556#121—734no—
1557#121—734no—
1558#121—734no—
1559#121—734no—
1560#121—732no—
1561#121—732no—
1562#121—734no—
1563#121—734no—
1564#121—734no—
1565#121—734no—
1566#121—734no—
1567#121—734no—
1568#121—734no—
1569#121—734no—
1570#121—734no—
1571#121—734no—
1572#121—734no—
1573#121—734no—
1574#121—734no—
1575#121—734no—
1576#121—734no—
1577#121—734no—
1578#121—734no—
1579#121—734no—
1580#121—734no—
1581#121—734no—
1582#121—734no—
1583#121—734no—
1584#121—734no—
1585#121—734no—
1586#121—734no—
1587#121—734no—
1588#121—734no—
1589#121—734no—
1590#121—734no—
1591#121—734no—
1592#121—734no—
1593#121—734no—
1594#121—734no—
1595#121—734no—
1596#121—734no—
1597#121—734no—
1598#121—734no—
1599#121—734no—
1600#121—734no—
1601#121—734no—
1602#121—734no—
1603#121C22×D7312yes—
1604#121C22×D7312yes—
1605#121C22×D7312yes—
1606#121C22×D7312yes—
1607#121C22×D7314yescomplemented
1608#121C22×D7314yescomplemented
1609#120—734no—
1610#120—734no—
1611#120—734no—
1612#120—734no—
1613#120—734no—
1614#120—734no—
1615#120—734no—
1616#120—734no—
1617#120—734no—
1618#120—734no—
1619#120—734no—
1620#120—734no—
1621#120—734no—
1622#120—734no—
1623#120—734no—
1624#120—734no—
1625#120—734no—
1626#120—734no—
1627#120—734no—
1628#120—734no—
1629#120—734no—
1630#120—734no—
1631#120—734no—
1632#120—734no—
1633#120—734no—
1634#120—734no—
1635#120—734no—
1636#120—734no—
1637#120—734no—
1638#120—734no—
1639#120—734no—
1640#120C22×D7314yes—
1641#120C22×D7314yes—
1642#120C22×D7314yes—
1643#120C22×D7314yes—
1644#120C22×D7314yescomplemented
1645C4×Q8—734no—
1646C4×Q8—734no—
1647C4×D4—734no—
1648C4×D4—734no—
1649C4×D4—734no—
1650C4×D4—734no—
1651C4×D4—734no—
1652C4×D4—734no—
1653C4×D4—734no—
1654C4×D4—734no—
1655C4×D4—734no—
1656C4×D4—734no—
1657C4×D4—734no—
1658C4×D4—734no—
1659C4×D4—734no—
1660C4×D4—734no—
1661C4×D4—734no—
1662C4×D4—734no—
1663C4×D4—734no—
1664C4×D4—734no—
1665C4×D4—734no—
1666C4×D4—734no—
1667C4×D4—734no—
1668C4×D4—734no—
1669C4×D4—734no—
1670C4×D4—734no—
1671C4×D4—734no—
1672C4×D4—734no—
1673C4×D4—734no—
1674C4×D4—734no—
1675C4×D4—734no—
1676C4×D4—734no—
1677C4×D4—734no—
1678C4×D4—734no—
1679C4×D4—734no—
1680C4×D4—734no—
1681C4×D4—734no—
1682C4×D4—734no—
1683C4×D4—734no—
1684C4×D4—734no—
1685C4×D4—734no—
1686C4×D4—734no—
1687C4×D4C22×D7314yes—
1688C4×D4C22×D7314yes—
1689C4×D4C22×D7314yes—
1690C4×D4C22×D7314yes—
1691C4×D4C22×D7314yescomplemented
1692C4×D4C22×D7314yescomplemented
1693#117—732no—
1694#117—732no—
1695#117—732no—
1696#117—732no—
1697#117—734no—
1698#117—734no—
1699#117—734no—
1700#117—734no—
1701#117—734no—
1702#117—734no—
1703#117—734no—
1704#117—734no—
1705#117C22×D7312yes—
1706#117C22×D7312yes—
1707#117C22×D7314yescomplemented
1708C2×C4⋊C4—732no—
1709C2×C4⋊C4—732no—
1710C2×C4⋊C4—734no—
1711C2×C4⋊C4—732no—
1712C2×C4⋊C4—732no—
1713C2×C4⋊C4—734no—
1714C2×C4⋊C4—732no—
1715C2×C4⋊C4—732no—
1716C2×C4⋊C4—734no—
1717C2×C4⋊C4—734no—
1718C2×C4⋊C4—734no—
1719C2×C22⋊C4—732no—
1720C2×C22⋊C4—732no—
1721C2×C22⋊C4—732no—
1722C2×C22⋊C4—732no—
1723C2×C22⋊C4—732no—
1724C2×C22⋊C4—734no—
1725C2×C22⋊C4—734no—
1726C2×C22⋊C4—734no—
1727C2×C22⋊C4—734no—
1728C2×C22⋊C4—734no—
1729C2×C22⋊C4—734no—
1730C2×C22⋊C4—734no—
1731C2×C22⋊C4—734no—
1732C2×C22⋊C4—734no—
1733C2×C22⋊C4—734no—
1734C2×C22⋊C4—734no—
1735C2×C22⋊C4—734no—
1736C2×C22⋊C4—734no—
1737C2×C22⋊C4C22×D7311yescharacteristic
1738C2×C22⋊C4C22×D7311yescharacteristic
1739C2×C22⋊C4C22×D7311yescharacteristic
1740C2×C22⋊C4C22×D7311yescharacteristic
1741C2×C22⋊C4C22×D7314yes—
1742C2×C22⋊C4C22×D7314yes—
1743C2×C22⋊C4C22×D7312yes—
1744C2×C22⋊C4C22×D7312yes—
1745C2×C22⋊C4C22×D7312yes—
1746C2×C22⋊C4C22×D7314yescomplemented
1747C2×C42—734no—
1748C24—42no—
1749C24—42no—
1750C24—42no—
1751C24—2922no—
1752C24—2922no—
1753C24—2922no—
1754C24—2922no—
1755C24—2922no—
1756C24—734no—
1757C24—732no—
1758C24—731no—
1759C24—732no—
1760C24—732no—
1761C24—732no—
1762C24—734no—
1763C24—731no—
1764C24—732no—
1765C24—732no—
1766C24—1464no—
1767C24C23×D7311yescharacteristic
1768C24C23×D7311yescharacteristic
1769C24C23×D7312yes—
1770C24C23×D7312yes—
1771C24C23×D7311yescharacteristic
1772C24C23×D7312yes—
1773#41—44no—
1774#41—44no—
1775#41—2924no—
1776#41—2924no—
1777#41—2928no—
1778#41—2928no—
1779#41—2928no—
1780#41—2928no—
1781#41—2928no—
1782#41—2928no—
1783#41—2928no—
1784#41—2928no—
1785#41—2924no—
1786#41—2924no—
1787#41—14616no—
1788C2×Q8—2924no—
1789C2×Q8—732no—
1790C2×Q8—732no—
1791C2×Q8—734no—
1792C2×Q8—734no—
1793C2×Q8C23×D7312yes—
1794C2×Q8C23×D7312yes—
1795C2×D4—44no—
1796C2×D4—44no—
1797C2×D4—44no—
1798C2×D4—2924no—
1799C2×D4—2924no—
1800C2×D4—2928no—
1801C2×D4—2924no—
1802C2×D4—2928no—
1803C2×D4—2928no—
1804C2×D4—2928no—
1805C2×D4—2928no—
1806C2×D4—2928no—
1807C2×D4—2928no—
1808C2×D4—2928no—
1809C2×D4—2928no—
1810C2×D4—2924no—
1811C2×D4—2924no—
1812C2×D4—2924no—
1813C2×D4—2924no—
1814C2×D4—2928no—
1815C2×D4—2924no—
1816C2×D4—2928no—
1817C2×D4—2924no—
1818C2×D4—2928no—
1819C2×D4—2924no—
1820C2×D4—2924no—
1821C2×D4—2924no—
1822C2×D4—2928no—
1823C2×D4—2924no—
1824C2×D4—2928no—
1825C2×D4—734no—
1826C2×D4—734no—
1827C2×D4—734no—
1828C2×D4—734no—
1829C2×D4—734no—
1830C2×D4—734no—
1831C2×D4—734no—
1832C2×D4—734no—
1833C2×D4—734no—
1834C2×D4—734no—
1835C2×D4—734no—
1836C2×D4—734no—
1837C2×D4—734no—
1838C2×D4—734no—
1839C2×D4—734no—
1840C2×D4—734no—
1841C2×D4—734no—
1842C2×D4—734no—
1843C2×D4—734no—
1844C2×D4—734no—
1845C2×D4—734no—
1846C2×D4—734no—
1847C2×D4—734no—
1848C2×D4—734no—
1849C2×D4—732no—
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—734no—
1859C2×D4—1468no—
1860C2×D4—1468no—
1861C2×D4—14616no—
1862C2×D4—1468no—
1863C2×D4C23×D7314yes—
1864C2×D4C23×D7314yes—
1865C2×D4C23×D7314yes—
1866C2×D4C23×D7314yes—
1867C2×D4C23×D7312yes—
1868C2×D4C23×D7314yes—
1869C2×D4C23×D7314yes—
1870C2×D4C23×D7312yes—
1871C22×C4—42no—
1872C22×C4—42no—
1873C22×C4—2924no—
1874C22×C4—2924no—
1875C22×C4—2924no—
1876C22×C4—2924no—
1877C22×C4—2924no—
1878C22×C4—2928no—
1879C22×C4—2922no—
1880C22×C4—732no—
1881C22×C4—732no—
1882C22×C4—732no—
1883C22×C4—732no—
1884C22×C4—732no—
1885C22×C4—734no—
1886C22×C4—734no—
1887C22×C4—732no—
1888C22×C4—734no—
1889C22×C4—732no—
1890C22×C4—734no—
1891C22×C4—734no—
1892C22×C4—734no—
1893C22×C4—734no—
1894C22×C4—734no—
1895C22×C4—734no—
1896C22×C4—732no—
1897C22×C4—732no—
1898C22×C4—731no—
1899C22×C4—732no—
1900C22×C4—732no—
1901C22×C4—732no—
1902C22×C4—731no—
1903C22×C4—734no—
1904C22×C4—732no—
1905C22×C4—734no—
1906C22×C4—732no—
1907C22×C4—734no—
1908C22×C4—732no—
1909C22×C4—732no—
1910C22×C4—1468no—
1911C22×C4—1464no—
1912C22×C4C23×D7312yes—
1913C22×C4C23×D7312yes—
1914C22×C4C23×D7311yescharacteristic
1915C22×C4C23×D7312yes—
1916C22×C4C23×D7311yescharacteristic
1917C22×C4C23×D7314yes—
1918C22×C4C23×D7311yescharacteristic
1919C22×C4C23×D7312yes—
1920C22×C4C23×D7311yescharacteristic
1921C22×C4C23×D7312yes—
1922C22×C4C23×D7312yes—
1923C22×C4C23×D7312yes—
1924C22×C4C23×D7314yes—
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—732no—
1942C4⋊C4—732no—
1943C4⋊C4—734no—
1944C4⋊C4—734no—
1945C4⋊C4—734no—
1946C4⋊C4—732no—
1947C4⋊C4—732no—
1948C4⋊C4—734no—
1949C4⋊C4C23×D7312yes—
1950C4⋊C4C23×D7312yes—
1951C4⋊C4C23×D7314yes—
1952C4⋊C4C23×D7314yes—
1953C4⋊C4C23×D7314yes—
1954C4⋊C4C23×D7312yes—
1955C4⋊C4C23×D7312yes—
1956C4⋊C4C23×D7314yes—
1957C22⋊C4—734no—
1958C22⋊C4—734no—
1959C22⋊C4—734no—
1960C22⋊C4—734no—
1961C22⋊C4—734no—
1962C22⋊C4—734no—
1963C22⋊C4—734no—
1964C22⋊C4—734no—
1965C22⋊C4—734no—
1966C22⋊C4—734no—
1967C22⋊C4—734no—
1968C22⋊C4—734no—
1969C22⋊C4—734no—
1970C22⋊C4—734no—
1971C22⋊C4—734no—
1972C22⋊C4—734no—
1973C22⋊C4—734no—
1974C22⋊C4—734no—
1975C22⋊C4—734no—
1976C22⋊C4—734no—
1977C22⋊C4—734no—
1978C22⋊C4—734no—
1979C22⋊C4—734no—
1980C22⋊C4—734no—
1981C22⋊C4—734no—
1982C22⋊C4—734no—
1983C22⋊C4—734no—
1984C22⋊C4—734no—
1985C22⋊C4—734no—
1986C22⋊C4—734no—
1987C22⋊C4—734no—
1988C22⋊C4—734no—
1989C22⋊C4—734no—
1990C22⋊C4—734no—
1991C22⋊C4C23×D7314yes—
1992C22⋊C4C23×D7314yes—
1993C22⋊C4C23×D7314yes—
1994C22⋊C4C23×D7314yes—
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—
2005C42—734no—
2006C42—734no—
2007C42—734no—
2008C42—734no—
2009C42—734no—
2010C42—734no—
2011C42C23×D7314yes—
2012C42C23×D7314yes—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—24no—
2017C23—24no—
2018C23—22no—
2019C23—22no—
2020C23—41no—
2021C23—42no—
2022C23—41no—
2023C23—41no—
2024C23—42no—
2025C23—41no—
2026C23—42no—
2027C23—42no—
2028C23—42no—
2029C23—42no—
2030C23—42no—
2031C23—88no—
2032C23—29216no—
2033C23—2921no—
2034C23—2922no—
2035C23—2921no—
2036C23—2921no—
2037C23—2922no—
2038C23—2921no—
2039C23—2924no—
2040C23—2922no—
2041C23—2922no—
2042C23—2922no—
2043C23—2922no—
2044C23—2924no—
2045C23—2922no—
2046C23—2922no—
2047C23—2924no—
2048C23—2924no—
2049C23—2922no—
2050C23—2922no—
2051C23—2922no—
2052C23—2924no—
2053C23—5848no—
2054C23—734no—
2055C23—732no—
2056C23—734no—
2057C23—732no—
2058C23—734no—
2059C23—1464no—
2060C23—1464no—
2061C23—1468no—
2062C23—1464no—
2063C23—1462no—
2064C23—1464no—
2065C23—1464no—
2066C23—1464no—
2067C23—1464no—
2068C23C24×D7312yes—
2069C23C24×D7314yes—
2070C23C24×D7312yes—
2071C23C24×D7311yescharacteristic
2072C23C24×D7311yescharacteristic
2073C23C24×D7311yescharacteristic
2074Q8—42no—
2075Q8—42no—
2076Q8—2922no—
2077Q8—2922no—
2078Q8—2924no—
2079Q8—1468no—
2080D4—28no—
2081D4—28no—
2082D4—28no—
2083D4—44no—
2084D4—44no—
2085D4—44no—
2086D4—42no—
2087D4—42no—
2088D4—2924no—
2089D4—2924no—
2090D4—2922no—
2091D4—2924no—
2092D4—2924no—
2093D4—2922no—
2094D4—2924no—
2095D4—2924no—
2096D4—2924no—
2097D4—2924no—
2098D4—2924no—
2099D4—2924no—
2100D4—2924no—
2101D4—2924no—
2102D4—2924no—
2103D4—2924no—
2104D4—2924no—
2105D4—2924no—
2106D4—2924no—
2107D4—2924no—
2108D4—2924no—
2109D4—2924no—
2110D4—1468no—
2111D4—1468no—
2112D4—1468no—
2113D4—1468no—
2114D4—1468no—
2115D4—1468no—
2116D4—1468no—
2117D4—1468no—
2118D4—1468no—
2119D4—1468no—
2120D4—1468no—
2121D4—1468no—
2122C2×C4—24no—
2123C2×C4—24no—
2124C2×C4—41no—
2125C2×C4—42no—
2126C2×C4—41no—
2127C2×C4—41no—
2128C2×C4—42no—
2129C2×C4—41no—
2130C2×C4—44no—
2131C2×C4—42no—
2132C2×C4—42no—
2133C2×C4—42no—
2134C2×C4—44no—
2135C2×C4—2922no—
2136C2×C4—2922no—
2137C2×C4—2922no—
2138C2×C4—2922no—
2139C2×C4—2924no—
2140C2×C4—2924no—
2141C2×C4—2924no—
2142C2×C4—2924no—
2143C2×C4—2924no—
2144C2×C4—2924no—
2145C2×C4—2924no—
2146C2×C4—2924no—
2147C2×C4—2922no—
2148C2×C4—2922no—
2149C2×C4—2924no—
2150C2×C4—2922no—
2151C2×C4—2922no—
2152C2×C4—2922no—
2153C2×C4—734no—
2154C2×C4—732no—
2155C2×C4—734no—
2156C2×C4—734no—
2157C2×C4—734no—
2158C2×C4—734no—
2159C2×C4—732no—
2160C2×C4—1464no—
2161C2×C4—1464no—
2162C2×C4—1464no—
2163C2×C4—1464no—
2164C2×C4—1468no—
2165C2×C4—1468no—
2166C2×C4—1464no—
2167C2×C4—1464no—
2168C2×C4—1468no—
2169C2×C4—1462no—
2170C2×C4—1464no—
2171C2×C4C24×D7314yes—
2172C2×C4C24×D7312yes—
2173C2×C4C24×D7312yes—
2174C2×C4C24×D7314yes—
2175C2×C4C24×D7314yes—
2176C2×C4C24×D7312yes—
2177C2×C4C24×D7312yes—
2178C22—28no—
2179C22—21no—
2180C22—21no—
2181C22—21no—
2182C22—21no—
2183C22—21no—
2184C22—21no—
2185C22—24no—
2186C22—24no—
2187C22—22no—
2188C22—22no—
2189C22—22no—
2190C22—22no—
2191C22—22no—
2192C22—22no—
2193C22—24no—
2194C22—84no—
2195C22—84no—
2196C22—82no—
2197C22—82no—
2198C22—162no—
2199C22—2924no—
2200C22—2928no—
2201C22—2928no—
2202C22—2924no—
2203C22—5844no—
2204C22—5844no—
2205C22—5844no—
2206C22—5848no—
2207C22—734no—
2208C22—11682no—
2209C22—11684no—
2210C22—1462no—
2211C22—1464no—
2212C22—1464no—
2213C22—1464no—
2214C22—1464no—
2215C22—1462no—
2216C22—1464no—
2217C22—1462no—
2218C22—1464no—
2219C22—1462no—
2220C22—1462no—
2221C22H(5,𝔽2)×D7312yes—
2222C22H(5,𝔽2)×D7312yes—
2223C22#1798942312yes—
2224C22C25×D7311yescharacteristic
2225C4—22no—
2226C4—22no—
2227C4—22no—
2228C4—22no—
2229C4—24no—
2230C4—24no—
2231C4—24no—
2232C4—734no—
2233C4—1462no—
2234C4—1464no—
2235C4—1464no—
2236C4—1464no—
2237C4—1464no—
2238C2—22no—
2239C2—22no—
2240C2—22no—
2241C2—42no—
2242C2—42no—
2243C2—44no—
2244C2—2922no—
2245C2—2924no—
2246C2—2924no—
2247C2—1464no—
2248C2C2×H(5,𝔽2)×D7311yescharacteristic
2249C2C2×H(5,𝔽2)×D7311yescharacteristic
2250C2C2×#1798942311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3490C2
hypercenter#3490D73
hypocenterC73#62818
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #22624240C2semidirect
2. #22624232C2semidirect
3. #22624168C2semidirect
4. #22624163C2semidirect
5. #22624157C2semidirect
6. #22624152C2semidirect
7. #22624124C2semidirect
8. #22624113C2semidirect
9. #22623955C2semidirect
10. #22623953C2semidirect
11. #22623762C2semidirect
12. #22623691C2semidirect
13. #22623657C2semidirect
14. #22623632C2semidirect
15. #22623620C2semidirect
16. #22623614C2semidirect
17. #22623594C2semidirect
18. #22623564C2semidirect
19. #22623560C2semidirect
20. #22623560C2semidirect
21. #525×D73C2semidirect
22. C22×#14556564C2semidirect
23. C73×#3490C2semidirect
24. C2×#14556637C22semidirect
25. C2×#14556636C22semidirect
26. C2×#14556636C22semidirect
27. C2×#41×D73C22semidirect
28. C23×D292C22semidirect
29. C23×C22⋊D73C22semidirect
30. C23×C22⋊D73C22semidirect
31. C23×C4×D73C22semidirect
32. #17989334C22semidirect
33. #17989333C22semidirect
34. #17989333C22semidirect
35. #17989331C22semidirect
36. #17989328C22semidirect
37. #17989327C22semidirect
38. #17989326C22semidirect
39. #17989325C22semidirect
40. #17989300C22semidirect
41. #17989299C22semidirect
42. #17989296C22semidirect
43. #17989291C22semidirect
44. #17989288C22semidirect
45. #17989288C22semidirect
46. #17989288C22semidirect
47. #17989287C22semidirect
48. #17989286C22semidirect
49. #17989286C22semidirect
50. #17989282C22semidirect
51. #17989282C22semidirect
52. #17989281C22semidirect
53. #17989280C22semidirect
54. #17989274C22semidirect
55. #17989270C22semidirect
56. #17989266C22semidirect
57. #17989264C22semidirect
58. #17989263C22semidirect
59. #17989263C22semidirect
60. #17989261C22semidirect
61. #17989260C22semidirect
62. #17989258C22semidirect
63. #17989255C22semidirect
64. #17989247C22semidirect
65. #17989245C22semidirect
66. #17989239C22semidirect
67. #17989236C22semidirect
68. #17989235C22semidirect
69. #17989235C22semidirect
70. #17989233C22semidirect
71. #17989233C22semidirect
72. #17989233C22semidirect
73. #17989232C22semidirect
74. #17989230C22semidirect
75. #17989229C22semidirect
76. #17989229C22semidirect
77. #17989228C22semidirect
78. #17989228C22semidirect
79. #17989227C22semidirect
80. #17989227C22semidirect
81. #17989227C22semidirect
82. #17989227C22semidirect
83. #17989227C22semidirect
84. #17989227C22semidirect
85. #17989227C22semidirect
86. #17989227C22semidirect
87. #17989226C22semidirect
88. #17989226C22semidirect
89. #17989225C22semidirect
90. #17989224C22semidirect
91. #17989224C22semidirect
92. #17989224C22semidirect
93. #17989224C22semidirect
94. D4×D292C22semidirect
95. D4×D292C22semidirect
96. #17989221C22semidirect
97. #17989221C22semidirect
98. #17989221C22semidirect
99. D4×C22⋊D73C22semidirect
100. D4×C22⋊D73C22semidirect
101. D4×C22⋊D73C22semidirect
102. D4×C22⋊D73C22semidirect
103. #17989219C22semidirect
104. #17989219C22semidirect
105. #17989219C22semidirect
106. #17989219C22semidirect
107. #17989219C22semidirect
108. #17989216C22semidirect
109. #17989213C22semidirect
110. #17989212C22semidirect
111. #17989207C22semidirect
112. #17989203C22semidirect
113. #17989192C22semidirect
114. #17989189C22semidirect
115. #17989189C22semidirect
116. #17989189C22semidirect
117. #17989188C22semidirect
118. #17989187C22semidirect
119. #17989186C22semidirect
120. #17989183C22semidirect
121. #17989182C22semidirect
122. #17989179C22semidirect
123. #17989178C22semidirect
124. #17989177C22semidirect
125. #17989176C22semidirect
126. #17989175C22semidirect
127. #17989175C22semidirect
128. #17989175C22semidirect
129. #17989174C22semidirect
130. #17989173C22semidirect
131. #17989171C22semidirect
132. #17989171C22semidirect
133. #17989170C22semidirect
134. #17989170C22semidirect
135. #17989167C22semidirect
136. #17989167C22semidirect
137. #17989166C22semidirect
138. #17989164C22semidirect
139. #17989164C22semidirect
140. #17989156C22semidirect
141. #17989155C22semidirect
142. #17989152C22semidirect
143. #17989152C22semidirect
144. #17989152C22semidirect
145. #17989151C22semidirect
146. #17989149C22semidirect
147. #17989149C22semidirect
148. #17989149C22semidirect
149. #17989148C22semidirect
150. #17989148C22semidirect
151. #17989148C22semidirect
152. #17989147C22semidirect
153. #17989147C22semidirect
154. #17989147C22semidirect
155. #17989146C22semidirect
156. #17989146C22semidirect
157. #17989145C22semidirect
158. #17989136C22semidirect
159. #17989134C22semidirect
160. #17989120C22semidirect
161. #17989115C22semidirect
162. #17989100C22semidirect
163. #17989100C22semidirect
164. #17989099C22semidirect
165. #17989098C22semidirect
166. #17989098C22semidirect
167. #17989097C22semidirect
168. #17989097C22semidirect
169. #17989096C22semidirect
170. #17989096C22semidirect
171. #17989096C22semidirect
172. #17989095C22semidirect
173. #17989095C22semidirect
174. #17989094C22semidirect
175. #17989093C22semidirect
176. #17989093C22semidirect
177. #123×D73C22semidirect
178. C22⋊Q8×D73C22semidirect
179. C22⋊Q8×D73C22semidirect
180. C2×#14556564C22semidirect
181. C2×#14556564C22semidirect
182. C2×#14556564C22semidirect
183. C2×#14556564C22semidirect
184. C2×#14556564C22semidirect
185. C2×#14556564C22semidirect
186. C2×#14556564C22semidirect
187. C2×#14556564C22semidirect
188. C2×#14556564C22semidirect
189. #121×D73C22semidirect
190. #121×D73C22semidirect
191. #121×D73C22semidirect
192. C2×#14556560C22semidirect
193. #120×D73C22semidirect
194. #120×D73C22semidirect
195. #17989066C22semidirect
196. #17989061C22semidirect
197. #17989060C22semidirect
198. #17989060C22semidirect
199. #17989060C22semidirect
200. #17989059C22semidirect
201. C4×D4×D73C22semidirect
202. C4×D4×D73C22semidirect
203. #117×D73C22semidirect
204. C22×#11924007C22semidirect
205. C22×#11924005C22semidirect
206. #551×C73C22semidirect
207. #551×C73C22semidirect
208. #546×C73C22semidirect
209. #546×C73C22semidirect
210. #543×C73C22semidirect
211. #538×C73C22semidirect
212. #538×C73C22semidirect
213. #534×C73C22semidirect
214. #525×C73C22semidirect
215. #525×C73C22semidirect
216. C2×#120×C73C22semidirect
217. #518×C73C22semidirect
218. C22×C22⋊C4×C73C22semidirect
224. C2×#11924029C23semidirect
225. C2×#11924029C23semidirect
228. C2×#11924028C23semidirect
229. C2×#11924028C23semidirect
230. C2×#11924028C23semidirect
231. C2×#11924028C23semidirect
234. C2×#11924027C23semidirect
235. C2×#11924027C23semidirect
236. C2×#11924027C23semidirect
238. C2×Q8×D73C23semidirect
245. C22×D292C23semidirect
261. C22×C22⋊D73C23semidirect
262. C22×C22⋊D73C23semidirect
269. C2×D4×D73C23semidirect
270. C2×D4×D73C23semidirect
271. C2×D4×D73C23semidirect
272. C2×D4×D73C23semidirect
282. C22×C4×D73C23semidirect
283. #14556590C23semidirect
284. #14556589C23semidirect
285. #14556588C23semidirect
286. #14556587C23semidirect
287. #14556587C23semidirect
288. #14556587C23semidirect
289. #14556587C23semidirect
290. #14556587C23semidirect
291. #14556586C23semidirect
292. #14556586C23semidirect
293. #14556586C23semidirect
294. #14556586C23semidirect
295. #14556585C23semidirect
296. #14556585C23semidirect
297. #14556584C23semidirect
298. #14556584C23semidirect
299. #14556584C23semidirect
300. #14556584C23semidirect
301. #14556583C23semidirect
302. #14556582C23semidirect
303. #14556581C23semidirect
304. #14556581C23semidirect
305. #14556581C23semidirect
306. #14556581C23semidirect
307. #14556580C23semidirect
308. #14556580C23semidirect
309. #14556579C23semidirect
310. #14556579C23semidirect
311. #14556577C23semidirect
312. #14556577C23semidirect
313. #14556577C23semidirect
314. #14556577C23semidirect
315. #14556577C23semidirect
316. #14556577C23semidirect
317. #14556577C23semidirect
318. #14556577C23semidirect
319. #14556576C23semidirect
320. #14556576C23semidirect
321. #14556576C23semidirect
322. #14556576C23semidirect
323. #14556576C23semidirect
324. #14556576C23semidirect
325. #14556576C23semidirect
326. #14556576C23semidirect
327. #14556576C23semidirect
328. #14556576C23semidirect
331. #14556575C23semidirect
332. #14556575C23semidirect
333. #14556575C23semidirect
334. #14556575C23semidirect
337. #14556574C23semidirect
338. #14556574C23semidirect
339. #14556574C23semidirect
340. #14556574C23semidirect
341. #14556573C23semidirect
342. #14556573C23semidirect
343. #14556573C23semidirect
344. #14556573C23semidirect
345. #14556573C23semidirect
346. #14556573C23semidirect
347. #14556573C23semidirect
348. #14556573C23semidirect
349. #14556573C23semidirect
350. #14556573C23semidirect
353. #14556572C23semidirect
354. #14556571C23semidirect
355. #14556571C23semidirect
356. #14556571C23semidirect
361. #14556570C23semidirect
362. #14556569C23semidirect
363. #14556569C23semidirect
364. #14556569C23semidirect
365. #14556569C23semidirect
366. #14556569C23semidirect
367. #14556569C23semidirect
372. #14556568C23semidirect
373. #14556568C23semidirect
374. #14556568C23semidirect
375. #14556568C23semidirect
376. #14556567C23semidirect
377. #14556567C23semidirect
378. #14556567C23semidirect
379. #14556567C23semidirect
380. #14556566C23semidirect
381. #14556566C23semidirect
382. #14556566C23semidirect
383. #14556566C23semidirect
384. #14556566C23semidirect
385. #14556566C23semidirect
386. #14556566C23semidirect
387. #14556566C23semidirect
388. #14556566C23semidirect
393. #14556565C23semidirect
394. #14556565C23semidirect
395. #14556565C23semidirect
396. #14556565C23semidirect
397. #14556565C23semidirect
398. #14556565C23semidirect
399. #14556565C23semidirect
416. #14556564C23semidirect
417. #14556564C23semidirect
418. #14556564C23semidirect
419. #14556564C23semidirect
420. #14556564C23semidirect
421. #14556564C23semidirect
422. #14556564C23semidirect
423. #14556564C23semidirect
424. #14556564C23semidirect
425. #14556564C23semidirect
426. #14556564C23semidirect
427. #14556564C23semidirect
428. #14556564C23semidirect
429. #14556564C23semidirect
430. #14556564C23semidirect
431. #14556564C23semidirect
432. #14556564C23semidirect
433. #14556564C23semidirect
438. #14556563C23semidirect
439. #14556563C23semidirect
440. #14556563C23semidirect
441. #14556563C23semidirect
442. #14556563C23semidirect
443. #14556563C23semidirect
444. #14556563C23semidirect
445. #14556563C23semidirect
446. #14556563C23semidirect
447. #14556563C23semidirect
448. #14556562C23semidirect
449. #14556562C23semidirect
450. #14556562C23semidirect
451. #14556562C23semidirect
452. #14556562C23semidirect
453. #14556562C23semidirect
460. #14556561C23semidirect
461. #14556561C23semidirect
462. #14556561C23semidirect
463. #14556561C23semidirect
464. #14556561C23semidirect
465. #14556561C23semidirect
466. #14556561C23semidirect
467. #14556561C23semidirect
472. #14556560C23semidirect
473. #14556560C23semidirect
480. #14556559C23semidirect
481. #14556559C23semidirect
482. #14556559C23semidirect
483. #14556559C23semidirect
484. #14556559C23semidirect
485. C4×Dic146C23semidirect
486. #14556556C23semidirect
487. C4×D292C23semidirect
488. C4×D292C23semidirect
489. C4×D292C23semidirect
490. C4×D292C23semidirect
491. C4×D292C23semidirect
496. #14556553C23semidirect
497. #14556553C23semidirect
498. #14556553C23semidirect
499. #14556553C23semidirect
500. #14556553C23semidirect
505. C4×C22⋊D73C23semidirect
506. C4×C22⋊D73C23semidirect
507. C4×C22⋊D73C23semidirect
508. C4×C22⋊D73C23semidirect
509. C4×C22⋊D73C23semidirect
510. C4×C22⋊D73C23semidirect
511. C4×C22⋊D73C23semidirect
512. C4×C22⋊D73C23semidirect
517. #14556551C23semidirect
518. #14556551C23semidirect
519. #14556551C23semidirect
520. #14556551C23semidirect
521. #14556551C23semidirect
522. #14556551C23semidirect
523. #14556551C23semidirect
524. #14556551C23semidirect
525. #14556551C23semidirect
526. #14556551C23semidirect
529. #14556549C23semidirect
530. #14556549C23semidirect
531. #14556549C23semidirect
532. #14556548C23semidirect
533. #14556548C23semidirect
534. #14556548C23semidirect
537. #14556547C23semidirect
538. #14556547C23semidirect
544. C2×#11924007C23semidirect
545. C4⋊C4×D73C23semidirect
546. C4⋊C4×D73C23semidirect
547. C4⋊C4×D73C23semidirect
548. C4⋊C4×D73C23semidirect
549. C4⋊C4×D73C23semidirect
557. C2×#11924005C23semidirect
564. C22⋊C4×D73C23semidirect
565. C22⋊C4×D73C23semidirect
566. C22⋊C4×D73C23semidirect
567. C22⋊C4×D73C23semidirect
568. C42×D73C23semidirect
577. #126×C73C23semidirect
578. #126×C73C23semidirect
579. #124×C73C23semidirect
580. #124×C73C23semidirect
583. #123×C73C23semidirect
584. #123×C73C23semidirect
585. #123×C73C23semidirect
590. C22⋊Q8×C73C23semidirect
591. C22⋊Q8×C73C23semidirect
596. #121×C73C23semidirect
597. #121×C73C23semidirect
602. #120×C73C23semidirect
607. C4×D4×C73C23semidirect
608. C4×D4×C73C23semidirect
611. #117×C73C23semidirect
621. C2×C22⋊C4×C73C23semidirect
943. C22×D73H(5,𝔽2)semidirect
1011. C2×Dic73H(5,𝔽2)semidirect
1142. #3490D73semidirect
1149. C73#62818semidirect
1188. #551C2×D73semidirect
1189. #551C2×D73semidirect
1222. #546C2×D73semidirect
1223. #546C2×D73semidirect
1241. #543C2×D73semidirect
1266. #538C2×D73semidirect
1267. #538C2×D73semidirect
1291. #534C2×D73semidirect
1311. #525C2×D73semidirect
1312. #525C2×D73semidirect
1331. C2×#120C2×D73semidirect
1338. #518C2×D73semidirect
1344. C22×C22⋊C4C2×D73semidirect
1435. #126C22×D73semidirect
1436. #126C22×D73semidirect
1455. #124C22×D73semidirect
1456. #124C22×D73semidirect
1494. #123C22×D73semidirect
1495. #123C22×D73semidirect
1496. #123C22×D73semidirect
1527. C22⋊Q8C22×D73semidirect
1528. C22⋊Q8C22×D73semidirect
1607. #121C22×D73semidirect
1608. #121C22×D73semidirect
1644. #120C22×D73semidirect
1691. C4×D4C22×D73semidirect
1692. C4×D4C22×D73semidirect
1707. #117C22×D73semidirect
1746. C2×C22⋊C4C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226242402
#226242322
#226241682
#226241632
#226241572
#226241522
#226241242
#226241132
#226239552
#226239532
#226237622
#226236912
#226236572
#226236322
#226236202
#226236142
#226235942
#226235642
#226235602
#525×D732
C22×#145565642
C73×#34902
#6281873