Finite Group Databasebeta

← #33993655

Subgroups — #33993655

Order 18688.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624514C214yesmaximal, complemented
2#22624499C212yesmaximal, complemented
3#22624479C214yesmaximal, complemented
4#22624465C211yesmaximal, characteristic, complemented
5#22624454C211yesmaximal, characteristic, complemented
6#22624453C212yesmaximal, complemented
7#22624447C211yesmaximal, characteristic, complemented
8#22624394C212yesmaximal, complemented
9#22624371C212yesmaximal, complemented
10#22624302C212yesmaximal, complemented
11#22624260C212yesmaximal, complemented
12#22624167C212yesmaximal, complemented
13#22624154C212yesmaximal, complemented
14#22624126C212yesmaximal, complemented
15#22624110C212yesmaximal, complemented
16#22624072C212yesmaximal, complemented
17#22624068C212yesmaximal, complemented
18#22623542C212yesmaximal, complemented
19#22623538C212yesmaximal, complemented
20#22623525C212yesmaximal, complemented
21#22623418C214yesmaximal, complemented
22#22623418C212yesmaximal, complemented
23#22623354C212yesmaximal, complemented
24#22623346C212yesmaximal, complemented
25#22623339C214yesmaximal, complemented
26#22623317C212yesmaximal, complemented
27#22623259C212yesmaximal, complemented
28#22623225C211yesmaximal, characteristic, complemented
29#532×D73C211yesmaximal, characteristic, complemented
30C2×#17989122C211yesmaximal, characteristic, complemented
31C73×#3559C211yesmaximal, characteristic, complemented
32C2×#41×D73C2214yescomplemented
33C2×#41×D73C2212yescomplemented
34#17989341C2212yescomplemented
35#17989338C2214yescomplemented
36#17989336C2214yescomplemented
37#17989335C2212yescomplemented
38#17989335C2212yescomplemented
39#17989334C2214yescomplemented
40#17989333C2214yescomplemented
41#17989333C2214yescomplemented
42#17989333C2214yescomplemented
43#17989331C2212yescomplemented
44#17989329C2212yescomplemented
45#17989329C2212yescomplemented
46#17989328C2214yescomplemented
47#17989328C2214yescomplemented
48#17989327C2214yescomplemented
49#17989327C2214yescomplemented
50#17989325C2214yescomplemented
51#17989325C2214yescomplemented
52#17989322C2212yescomplemented
53#17989321C2214yescomplemented
54#17989320C2212yescomplemented
55#17989320C2212yescomplemented
56#17989314C2212yescomplemented
57#17989305C2212yescomplemented
58#17989304C2214yescomplemented
59#17989298C2212yescomplemented
60#17989293C2212yescomplemented
61#17989292C2212yescomplemented
62#17989290C2212yescomplemented
63#17989290C2212yescomplemented
64#17989286C2214yescomplemented
65#17989285C2214yescomplemented
66#17989285C2212yescomplemented
67#17989282C2214yescomplemented
68#17989281C2212yescomplemented
69#17989280C2214yescomplemented
70#17989266C2214yescomplemented
71#17989264C2214yescomplemented
72#17989264C2214yescomplemented
73#17989262C2214yescomplemented
74#17989258C2214yescomplemented
75#17989258C2212yescomplemented
76#17989255C2212yescomplemented
77#17989252C2212yescomplemented
78#17989252C2214yescomplemented
79#17989247C2214yescomplemented
80#17989247C2214yescomplemented
81#17989247C2214yescomplemented
82#17989246C2212yescomplemented
83#17989243C2212yescomplemented
84#17989238C2214yescomplemented
85#17989238C2212yescomplemented
86#17989238C2212yescomplemented
87#17989238C2214yescomplemented
88#17989234C2212yescomplemented
89#17989233C2212yescomplemented
90#17989232C2212yescomplemented
91#17989232C2212yescomplemented
92#17989229C2214yescomplemented
93#17989229C2214yescomplemented
94#17989229C2214yescomplemented
95#17989229C2214yescomplemented
96#17989229C2214yescomplemented
97#17989229C2214yescomplemented
98#17989228C2214yescomplemented
99#17989226C2214yescomplemented
100#17989225C2214yescomplemented
101#17989225C2214yescomplemented
102#17989225C2214yescomplemented
103D4×D292C2212yescomplemented
104D4×D292C2214yescomplemented
105D4×D292C2212yescomplemented
106#17989221C2212yescomplemented
107#17989221C2212yescomplemented
108#17989221C2214yescomplemented
109#17989221C2214yescomplemented
110#17989221C2212yescomplemented
111#17989217C2212yescomplemented
112#17989212C2214yescomplemented
113#17989211C2212yescomplemented
114#17989211C2212yescomplemented
115#17989211C2214yescomplemented
116#17989208C2212yescomplemented
117#17989207C2214yescomplemented
118#17989205C2214yescomplemented
119#17989203C2214yescomplemented
120#17989202C2212yescomplemented
121#17989196C2214yescomplemented
122#17989193C2214yescomplemented
123#17989193C2212yescomplemented
124#17989193C2212yescomplemented
125#17989189C2214yescomplemented
126#17989188C2212yescomplemented
127#17989187C2214yescomplemented
128#17989185C2214yescomplemented
129#17989185C2214yescomplemented
130#17989184C2212yescomplemented
131#17989184C2214yescomplemented
132#17989183C2214yescomplemented
133#17989183C2214yescomplemented
134#17989181C2214yescomplemented
135#17989177C2214yescomplemented
136#17989177C2212yescomplemented
137#17989177C2214yescomplemented
138#17989176C2214yescomplemented
139#17989176C2214yescomplemented
140#17989174C2212yescomplemented
141#17989173C2214yescomplemented
142#17989173C2214yescomplemented
143#17989173C2214yescomplemented
144#17989170C2214yescomplemented
145#17989170C2214yescomplemented
146#17989170C2214yescomplemented
147#17989169C2214yescomplemented
148#17989168C2212yescomplemented
149#17989168C2212yescomplemented
150#17989166C2212yescomplemented
151#17989165C2214yescomplemented
152#17989160C2214yescomplemented
153#17989160C2214yescomplemented
154#17989156C2212yescomplemented
155#17989156C2212yescomplemented
156#17989153C2214yescomplemented
157#17989153C2214yescomplemented
158#17989153C2212yescomplemented
159#17989150C2212yescomplemented
160#17989148C2214yescomplemented
161#17989148C2214yescomplemented
162#17989145C2214yescomplemented
163#17989145C2212yescomplemented
164#17989145C2212yescomplemented
165#17989145C2214yescomplemented
166#17989143C2211yescharacteristic, complemented
167#17989141C2211yescharacteristic, complemented
168#17989139C2211yescharacteristic, complemented
169#17989138C2212yescomplemented
170#17989138C2214yescomplemented
171#17989138C2211yescharacteristic, complemented
172#17989137C2211yescharacteristic, complemented
173#17989136C2212yescomplemented
174#17989136C2211yescharacteristic, complemented
175#17989135C2211yescharacteristic, complemented
176#17989134C2212yescomplemented
177#17989134C2211yescharacteristic, complemented
178#17989134C2212yescomplemented
179#17989133C2212yescomplemented
180#17989132C2211yescharacteristic, complemented
181#17989132C2214yescomplemented
182#17989132C2212yescomplemented
183#17989132C2212yescomplemented
184#17989132C2212yescomplemented
185#17989132C2214yescomplemented
186C4⋊Q8×D73C2211yescharacteristic, complemented
187#127×D73C2211yescharacteristic, complemented
188#17989123C2214yescomplemented
189#17989122C2212yescomplemented
190#17989122C2212yescomplemented
191#17989122C2212yescomplemented
192#17989122C2212yescomplemented
193#17989122C2212yescomplemented
194#17989122C2212yescomplemented
195#17989122C2211yescharacteristic, complemented
196#17989122C2214yescomplemented
197#17989122C2212yescomplemented
198#17989122C2212yescomplemented
199#17989122C2212yescomplemented
200#17989121C2211yescharacteristic, complemented
201#17989120C2212yescomplemented
202#17989120C2214yescomplemented
203#17989120C2214yescomplemented
204#17989120C2212yescomplemented
205#17989118C2212yescomplemented
206#17989116C2211yescharacteristic, complemented
207#17989115C2212yescomplemented
208#17989114C2214yescomplemented
209#17989114C2214yescomplemented
210#17989114C2212yescomplemented
211C2×#14556586C2212yescomplemented
212C2×#14556579C2211yescharacteristic, complemented
213#124×D73C2212yescomplemented
214#17989100C2214yescomplemented
215#17989100C2214yescomplemented
216#17989100C2214yescomplemented
217#17989100C2214yescomplemented
218#17989100C2214yescomplemented
219#17989100C2211yescharacteristic, complemented
220#17989097C2214yescomplemented
221#17989097C2214yescomplemented
222#17989097C2211yescharacteristic, complemented
223#17989096C2212yescomplemented
224#17989095C2214yescomplemented
225#17989095C2214yescomplemented
226#17989095C2214yescomplemented
227#17989095C2214yescomplemented
228#17989095C2212yescomplemented
229C2×#14556576C2212yescomplemented
230C2×#14556571C2211yescharacteristic, complemented
231C2×#14556566C2211yescharacteristic
232#121×D73C2212yescomplemented
233#121×D73C2212yescomplemented
234C4×#11924029C2211yescharacteristic, complemented
235#17989055C2212yescomplemented
236#17989055C2212yescomplemented
237C4×#11924027C2212yescomplemented
238C4×#11924027C2214yescomplemented
239C4×#11924027C2212yescomplemented
240C4×#11924027C2211yescharacteristic, complemented
241C2×#14556556C2211yescharacteristic, complemented
242C2×#14556553C2212yescomplemented
243C2×#14556553C2214yescomplemented
244C2×#14556553C2211yescharacteristic, complemented
245C2×#14556553C2212yescomplemented
246C4×D4×D73C2212yescomplemented
247C4×D4×D73C2214yescomplemented
248C4×D4×D73C2212yescomplemented
249C4×D4×D73C2212yescomplemented
250C2×#14556549C2212yescomplemented
251C2×C42×D73C2211yescharacteristic, complemented
252#563×C73C2212yescomplemented
253#562×C73C2212yescomplemented
254#554×C73C2212yescomplemented
255#553×C73C2212yescomplemented
256#553×C73C2212yescomplemented
257#547×C73C2212yescomplemented
258#547×C73C2214yescomplemented
259#544×C73C2212yescomplemented
260#540×C73C2212yescomplemented
261#539×C73C2214yescomplemented
262#539×C73C2212yescomplemented
263#537×C73C2212yescomplemented
264#532×C73C2211yescharacteristic, complemented
265#529×C73C2211yescharacteristic, complemented
266C2×#125×C73C2211yescharacteristic, complemented
267C2×#11924029C2312yes—
268C2×#11924029C2311yescharacteristic
269C2×#11924029C2314yes—
270C2×#11924028C2312yes—
271C2×#11924028C2314yes—
272C2×#11924028C2312yes—
273C2×#11924028C2314yes—
274C2×#11924028C2314yes—
275C2×#11924028C2312yes—
276C2×#11924028C2314yes—
277C2×#11924027C2312yes—
278C2×#11924027C2314yes—
279C2×#11924027C2312yes—
280C2×#11924027C2314yes—
281C2×#11924027C2311yescharacteristic
282C2×#11924027C2312yes—
283#41×D73—416no—
284#41×D73—48no—
285C22×Dic146C2311yescharacteristic
286C2×Q8×D73C2312yes—
287C2×Q8×D73C2314yes—
288C22×D292C2314yes—
289C22×D292C2312yes—
290C22×D292C2312yes—
291C22×D292C2311yescharacteristic
292C2×D4×D73C2312yes—
293C2×D4×D73C2312yes—
294C2×D4×D73C2312yes—
295C2×D4×D73C2314yes—
296C2×D4×D73C2314yes—
297C2×D4×D73C2314yes—
298C2×D4×D73C2312yes—
299C2×D4×D73C2314yes—
300C2×D4×D73C2314yes—
301C22×C4×D73C2311yescharacteristic
302C22×C4×D73C2312yes—
303C22×C4×D73C2314yes—
304C22×C4×D73C2314yes—
305C22×C4×D73C2314yes—
306C22×C4×D73C2311yescharacteristic
307C22×C4×D73C2311yescharacteristic
308#14556591C2311yescharacteristic
309#14556590C2312yes—
310#14556590C2312yes—
311#14556590C2311yescharacteristic
312#14556590C2314yes—
313#14556590C2312yes—
314#14556590C2314yes—
315#14556590C2311yescharacteristic
316#14556589C2312yes—
317#14556589C2311yescharacteristic
318#14556588C2311yescharacteristic
319#14556588C2312yes—
320#14556588C2314yes—
321#14556587C2312yes—
322#14556587C2312yes—
323#14556587C2312yes—
324#14556587C2311yescharacteristic
325#14556587C2312yes—
326#14556587C2314yes—
327#14556587C2314yes—
328#14556586C2314yes—
329#14556586C2314yes—
330#14556586C2314yes—
331#14556586C2314yes—
332#14556586C2314yes—
333#14556586C2314yes—
334#14556586C2314yes—
335#14556586C2312yes—
336#14556586C2314yes—
337#14556586C2314yes—
338#14556586C2314yes—
339#14556586C2314yes—
340#14556585C2312yes—
341#14556585C2314yes—
342#14556585C2314yes—
343#14556584C2314yes—
344#14556584C2314yes—
345#14556584C2314yes—
346#14556584C2312yes—
347#14556583C2311yescharacteristic
348#14556582C2314yes—
349#14556582C2312yes—
350#14556581C2312yes—
351#14556581C2312yes—
352#14556581C2314yes—
353#14556581C2314yes—
354#14556581C2314yes—
355#14556581C2314yes—
356#14556580C2314yes—
357#14556580C2312yes—
358#14556580C2314yes—
359#14556580C2314yes—
360#14556580C2314yes—
361#14556579C2311yescharacteristic
362#14556579C2312yes—
363#14556579C2312yes—
364#14556579C2312yes—
365#14556579C2312yes—
366#14556579C2314yes—
367#14556579C2312yes—
368#14556579C2312yes—
369#14556578C2312yes—
370#14556578C2312yes—
371#14556577C2312yes—
372#14556577C2312yes—
373#14556577C2314yes—
374#14556577C2314yes—
375#14556577C2314yes—
376#14556577C2314yes—
377#14556577C2314yes—
378#14556577C2314yes—
379#14556577C2314yes—
380#14556577C2314yes—
381#14556577C2314yes—
382#14556577C2314yes—
383#14556577C2314yes—
384#14556576C2312yes—
385#14556576C2312yes—
386#14556576C2314yes—
387#14556576C2314yes—
388#14556576C2314yes—
389#14556576C2314yes—
390#14556576C2314yes—
391#14556576C2314yes—
392#14556576C2314yes—
393#14556576C2314yes—
394#14556576C2314yes—
395#14556576C2314yes—
396#14556576C2314yes—
397#14556576C2314yes—
398#14556576C2314yes—
399#14556576C2314yes—
400#14556576C2314yes—
401#14556576C2314yes—
402#14556576C2314yes—
403#14556576C2314yes—
404#14556576C2314yes—
405#14556575C2314yes—
406#14556575C2314yes—
407#14556574C2312yes—
408#14556574C2314yes—
409#14556574C2314yes—
410#14556574C2314yes—
411#14556574C2314yes—
412#14556574C2314yes—
413#14556574C2314yes—
414#14556573C2312yes—
415#14556573C2314yes—
416#14556573C2314yes—
417#14556573C2312yes—
418#14556573C2314yes—
419#14556573C2314yes—
420#14556573C2314yes—
421#14556573C2314yes—
422#14556572C2314yes—
423#14556571C2312yes—
424#14556571C2312yes—
425#14556571C2312yes—
426#14556571C2312yes—
427#14556571C2311yescharacteristic
428#14556571C2314yes—
429#14556571C2312yes—
430#14556571C2314yes—
431#14556571C2314yes—
432#14556570C2311yescharacteristic
433#14556570C2314yes—
434#14556570C2314yes—
435#14556570C2312yes—
436#14556569C2312yes—
437#14556569C2312yes—
438#14556569C2314yes—
439#14556569C2314yes—
440#14556569C2312yes—
441#14556569C2314yes—
442#14556569C2314yes—
443#14556569C2314yes—
444#14556569C2314yes—
445#14556569C2314yes—
446#14556569C2314yes—
447#14556569C2314yes—
448#14556569C2314yes—
449#14556568C2312yes—
450#14556568C2314yes—
451#14556568C2314yes—
452#14556567C2311yescharacteristic
453#14556567C2314yes—
454#14556567C2314yes—
455#14556567C2314yes—
456#14556567C2314yes—
457#14556567C2314yes—
458#14556566C2312yes—
459#14556566C2312yes—
460#14556566C2312yes—
461#14556566C2312yes—
462#14556566C2311yescharacteristic
463#14556566C2314yes—
464#14556566C2312yes—
465#14556566C2312yes—
466#14556566C2312yes—
467#14556566C2312yes—
468#14556566C2314yes—
469#14556566C2312yes—
470#14556566C2314yes—
471#14556566C2314yes—
472#14556566C2314yes—
473#14556566C2314yes—
474#14556566C2314yes—
475#14556566C2314yes—
476#14556566C2314yes—
477#14556566C2314yes—
478#14556566C2314yes—
479#14556565C2311yescharacteristic
480#14556565C2314yes—
481#14556565C2312yes—
482#14556565C2312yes—
483#14556565C2314yes—
484#14556565C2312yes—
485#14556565C2314yes—
486#14556565C2314yes—
487#14556565C2314yes—
488#14556565C2314yes—
489#14556565C2314yes—
490#14556565C2314yes—
491#14556564C2312yes—
492#14556564C2312yes—
493#14556564C2314yes—
494#14556564C2314yes—
495#14556564C2314yes—
496#14556564C2314yes—
497#14556564C2312yes—
498#14556564C2314yes—
499#14556564C2314yes—
500#14556564C2314yes—
501#14556564C2314yes—
502#14556564C2314yes—
503#14556564C2314yes—
504#14556564C2314yes—
505#14556564C2314yes—
506#14556563C2314yes—
507#14556563C2314yes—
508#14556563C2312yes—
509#14556563C2314yes—
510#14556563C2314yes—
511#14556563C2314yes—
512#14556563C2314yes—
513#14556563C2314yes—
514#14556563C2314yes—
515#14556563C2314yes—
516#14556562C2312yes—
517#14556562C2312yes—
518#14556562C2311yescharacteristic
519#14556562C2314yes—
520#14556562C2314yes—
521#14556561C2314yes—
522#14556561C2314yes—
523#14556561C2314yes—
524#14556561C2314yes—
525#14556561C2314yes—
526#14556561C2314yes—
527#14556561C2314yes—
528#14556561C2314yes—
529#14556561C2314yes—
530#14556561C2314yes—
531#14556561C2314yes—
532#14556561C2314yes—
533#14556561C2314yes—
534#14556561C2314yes—
535#14556561C2312yes—
536#14556559C2314yes—
537#14556559C2314yes—
538#14556559C2314yes—
539#14556559C2314yes—
540#14556559C2314yes—
541#14556559C2314yes—
542#14556559C2314yes—
543#14556559C2314yes—
544#14556559C2312yes—
545Q8×Dic73C2311yescharacteristic
546C4×Dic146C2311yescharacteristic
547C4×Dic146C2312yes—
548C4×Dic146C2314yes—
549C4×Dic146C2312yes—
550#14556556C2311yescharacteristic
551#14556556C2312yes—
552#14556556C2312yes—
553#14556556C2312yes—
554#14556556C2312yes—
555#14556556C2312yes—
556#14556556C2312yes—
557#14556556C2312yes—
558#14556556C2314yes—
559#14556556C2312yes—
560C4×D292C2311yescharacteristic
561C4×D292C2312yes—
562C4×D292C2312yes—
563C4×D292C2314yes—
564C4×D292C2312yes—
565C4×D292C2312yes—
566D4×Dic73C2312yes—
567D4×Dic73C2314yes—
568D4×Dic73C2312yes—
569D4×Dic73C2311yescharacteristic
570D4×Dic73C2314yes—
571D4×Dic73C2312yes—
572#14556553C2314yes—
573#14556553C2314yes—
574#14556553C2312yes—
575#14556553C2312yes—
576#14556553C2312yes—
577#14556553C2312yes—
578#14556553C2314yes—
579#14556553C2314yes—
580#14556553C2312yes—
581#14556553C2312yes—
582#14556553C2314yes—
583#14556553C2314yes—
584#14556553C2312yes—
585#14556553C2314yes—
586#14556553C2312yes—
587#14556553C2311yescharacteristic
588#14556553C2312yes—
589#14556553C2314yes—
590#14556553C2314yes—
591#14556553C2314yes—
592#14556553C2314yes—
593#14556553C2312yes—
594#14556553C2312yes—
595#14556553C2314yes—
596#14556553C2312yes—
597C4×C22⋊D73C2312yes—
598C4×C22⋊D73C2314yes—
599C4×C22⋊D73C2314yes—
600C4×C22⋊D73C2312yes—
601C4×C22⋊D73C2314yes—
602C4×C22⋊D73C2314yes—
603C4×C22⋊D73C2314yes—
604C4×C22⋊D73C2314yes—
605C4×C22⋊D73C2314yes—
606C4×C22⋊D73C2314yes—
607C4×C22⋊D73C2312yes—
608#14556551C2314yes—
609#14556551C2314yes—
610#14556551C2314yes—
611#14556551C2314yes—
612#14556551C2312yes—
613#14556551C2312yes—
614#14556551C2312yes—
615#14556551C2312yes—
616#14556551C2314yes—
617#14556551C2312yes—
618#14556551C2314yes—
619#14556551C2312yes—
620#14556551C2314yes—
621#14556551C2314yes—
622#14556551C2314yes—
623#14556551C2312yes—
624#14556549C2312yes—
625#14556549C2314yes—
626#14556549C2312yes—
627#14556549C2314yes—
628#14556549C2314yes—
629#14556549C2314yes—
630#14556549C2314yes—
631#14556549C2311yescharacteristic
632#14556549C2311yescharacteristic
633#14556549C2312yes—
634#14556548C2312yes—
635#14556548C2312yes—
636#14556548C2314yes—
637#14556547C2314yes—
638#14556547C2312yes—
639#14556547C2312yes—
640#14556547C2312yes—
641#14556547C2314yes—
642C2×C4⋊Dic73C2312yes—
643C2×#11924007C2312yes—
644C4⋊C4×D73C2312yes—
645C4⋊C4×D73C2312yes—
646C4⋊C4×D73C2312yes—
647C4⋊C4×D73C2314yes—
648C2×#11924005C2312yes—
649C2×#11924005C2312yes—
650C2×#11924005C2314yes—
651C2×#11924005C2314yes—
652C2×#11924005C2314yes—
653C2×#11924005C2312yes—
654C2×#11924005C2312yes—
655C2×#11924005C2312yes—
656C22⋊C4×D73C2314yes—
657C22⋊C4×D73C2314yes—
658C22⋊C4×D73C2314yes—
659C22⋊C4×D73C2314yes—
660C22⋊C4×D73C2314yes—
661C2×C4×Dic73C2314yes—
662C2×C4×Dic73C2311yescharacteristic
663C2×C4×Dic73C2311yescharacteristic
664C2×C4×Dic73C2312yes—
665C2×C4×Dic73C2312yes—
666C2×C4×Dic73C2311yescharacteristic
667C42×D73C2311yescharacteristic
668C42×D73C2311yescharacteristic
669C42×D73C2314yes—
670C42×D73C2311yescharacteristic
671C42×D73C2311yescharacteristic
672C42×D73C2311yescharacteristic
673C42×D73C2311yescharacteristic
674C42×D73C2311yescharacteristic
675C42×D73C2311yescharacteristic
676C42×D73C2312yes—
677C2×#41×C73C2312yes—
678C2×#41×C73C2314yes—
679C4⋊Q8×C73C2311yescharacteristic
680C4⋊Q8×C73C2312yes—
681C4⋊Q8×C73C2314yes—
682#127×C73C2311yescharacteristic
683#126×C73C2312yes—
684#126×C73C2314yes—
685#126×C73C2314yes—
686#125×C73C2312yes—
687#125×C73C2312yes—
688#125×C73C2312yes—
689#125×C73C2312yes—
690#125×C73C2311yescharacteristic
691#125×C73C2314yes—
692#125×C73C2312yes—
693#124×C73C2311yescharacteristic
694#124×C73C2312yes—
695#123×C73C2314yes—
696#123×C73C2314yes—
697#123×C73C2314yes—
698#123×C73C2314yes—
699#123×C73C2314yes—
700#123×C73C2314yes—
701#123×C73C2312yes—
702C22⋊Q8×C73C2314yes—
703C22⋊Q8×C73C2311yescharacteristic
704C22⋊Q8×C73C2314yes—
705C22⋊Q8×C73C2314yes—
706C22⋊Q8×C73C2314yes—
707C22⋊Q8×C73C2314yes—
708C22⋊Q8×C73C2314yes—
709#121×C73C2311yescharacteristic
710#121×C73C2312yes—
711#121×C73C2314yes—
712#121×C73C2312yes—
713#121×C73C2314yes—
714#121×C73C2312yes—
715#121×C73C2314yes—
716#121×C73C2312yes—
717#121×C73C2314yes—
718C4×Q8×C73C2311yescharacteristic
719C4×D4×C73C2312yes—
720C4×D4×C73C2312yes—
721C4×D4×C73C2311yescharacteristic
722C4×D4×C73C2314yes—
723C4×D4×C73C2314yes—
724C4×D4×C73C2312yes—
725C4×D4×C73C2312yes—
726C4×D4×C73C2312yes—
727#117×C73C2312yes—
728#117×C73C2312yes—
729C2×C4⋊C4×C73C2312yes—
730C2×C4⋊C4×C73C2312yes—
731C2×C4⋊C4×C73C2314yes—
732C2×C4⋊C4×C73C2311yescharacteristic
733C2×C4⋊C4×C73C2312yes—
734C2×C4⋊C4×C73C2311yescharacteristic
735C2×C42×C73C2311yescharacteristic
736C23×D73C2411yescharacteristic
737C23×D73C2414yes—
738C23×D73C2412yes—
739C23×D73C2414yes—
740C23×D73C2414yes—
741#11924029—48no—
742#11924029—44no—
743#11924029—42no—
744#11924028—48no—
745#11924028—48no—
746#11924028—48no—
747#11924028—44no—
748#11924028—44no—
749#11924028—44no—
750#11924028—48no—
751#11924027—28no—
752#11924027—216no—
753#11924027—44no—
754#11924027—48no—
755#11924027—44no—
756#11924027—42no—
757C2×Dic146—42no—
758C2×Dic146C2412yes—
759C2×Dic146C2412yes—
760C2×Dic146C2414yes—
761C2×Dic146C2412yes—
762C2×Dic146C2412yes—
763C2×Dic146C2411yescharacteristic
764C2×Dic146C2414yes—
765C2×Dic146C2412yes—
766Q8×D73—44no—
767Q8×D73—48no—
768C2×D292—42no—
769C2×D292—44no—
770C2×D292—44no—
771C2×D292—48no—
772C2×D292C2412yes—
773C2×D292C2414yes—
774C2×D292C2412yes—
775C2×D292C2412yes—
776C2×D292C2412yes—
777C2×D292C2414yes—
778C2×D292C2412yes—
779C2×D292C2414yes—
780C2×D292C2414yes—
781C2×D292C2414yes—
782C2×D292C2411yescharacteristic
783C2×D292C2412yes—
784C2×D292C2414yes—
785C2×D292C2414yes—
786C2×D292C2414yes—
787C2×D292C2412yes—
788C2×D292C2414yes—
789C2×C22⋊D73C2412yes—
790C2×C22⋊D73C2414yes—
791C2×C22⋊D73C2412yes—
792C2×C22⋊D73C2412yes—
793C2×C22⋊D73C2414yes—
794C2×C22⋊D73C2412yes—
795C2×C22⋊D73C2414yes—
796C2×C22⋊D73C2412yes—
797C2×C22⋊D73C2414yes—
798C2×C22⋊D73C2414yes—
799C2×C22⋊D73C2414yes—
800C2×C22⋊D73C2414yes—
801C2×C22⋊D73C2414yes—
802C2×C22⋊D73C2414yes—
803C2×C22⋊D73C2414yes—
804C2×C22⋊D73C2414yes—
805D4×D73—44no—
806D4×D73—44no—
807D4×D73—44no—
808D4×D73—48no—
809D4×D73—44no—
810D4×D73—48no—
811D4×D73—48no—
812D4×D73—48no—
813D4×D73—48no—
814C22×Dic73C2414yes—
815C22×Dic73C2412yes—
816C22×Dic73C2411yescharacteristic
817C22×Dic73C2411yescharacteristic
818C22×Dic73C2412yes—
819C22×Dic73C2412yes—
820C22×Dic73C2414yes—
821C22×Dic73C2411yescharacteristic
822C2×C4×D73—24no—
823C2×C4×D73—28no—
824C2×C4×D73—48no—
825C2×C4×D73—48no—
826C2×C4×D73—48no—
827C2×C4×D73—42no—
828C2×C4×D73—42no—
829C2×C4×D73C2411yescharacteristic
830C2×C4×D73C2411yescharacteristic
831C2×C4×D73C2411yescharacteristic
832C2×C4×D73C2411yescharacteristic
833C2×C4×D73C2411yescharacteristic
834C2×C4×D73C2411yescharacteristic
835C2×C4×D73C2411yescharacteristic
836C2×C4×D73C2411yescharacteristic
837C2×C4×D73C2412yes—
838C2×C4×D73C2414yes—
839C2×C4×D73C2412yes—
840C2×C4×D73C2414yes—
841C2×C4×D73C2414yes—
842C2×C4×D73C2411yescharacteristic
843C2×C4×D73C2411yescharacteristic
844C2×C4×D73C2411yescharacteristic
845C2×C4×D73C2411yescharacteristic
846C2×C4×D73C2414yes—
847C2×C4×D73C2412yes—
848C2×C4×D73C2414yes—
849C2×C4×D73C2414yes—
850C2×C4×D73C2414yes—
851C2×C4×D73C2414yes—
852C2×C4×D73C2414yes—
853C2×C4×D73C2414yes—
854C2×C4×D73C2414yes—
855C4⋊Dic73C2412yes—
856C4⋊Dic73C2412yes—
857C4⋊Dic73C2414yes—
858C4⋊Dic73C2414yes—
859C4⋊Dic73C2414yes—
860C4⋊Dic73C2414yes—
861C4⋊Dic73C2412yes—
862C4⋊Dic73C2411yescharacteristic
863C4⋊Dic73C2411yescharacteristic
864C4⋊Dic73C2412yes—
865#11924007C2412yes—
866#11924007C2414yes—
867#11924007C2414yes—
868#11924007C2414yes—
869#11924007C2414yes—
870#11924007C2414yes—
871#11924007C2414yes—
872#11924007C2412yes—
873#11924007C2412yes—
874#11924007C2414yes—
875#11924007C2412yes—
876#11924007C2414yes—
877#11924007C2412yes—
878#11924007C2412yes—
879#11924007C2414yes—
880#11924007C2412yes—
881#11924007C2412yes—
882#11924007C2414yes—
883#11924007C2412yes—
884#11924007C2412yes—
885C22⋊Dic73C2414yes—
886C22⋊Dic73C2414yes—
887C22⋊Dic73C2414yes—
888C22⋊Dic73C2414yes—
889C22⋊Dic73C2412yes—
890C22⋊Dic73C2412yes—
891C22⋊Dic73C2412yes—
892C22⋊Dic73C2414yes—
893#11924005C2412yes—
894#11924005C2414yes—
895#11924005C2414yes—
896#11924005C2414yes—
897#11924005C2414yes—
898#11924005C2414yes—
899#11924005C2414yes—
900#11924005C2414yes—
901#11924005C2414yes—
902#11924005C2414yes—
903#11924005C2412yes—
904#11924005C2412yes—
905#11924005C2414yes—
906#11924005C2414yes—
907#11924005C2414yes—
908#11924005C2414yes—
909#11924005C2414yes—
910#11924005C2414yes—
911#11924005C2414yes—
912#11924005C2414yes—
913#11924005C2414yes—
914#11924005C2414yes—
915#11924005C2414yes—
916#11924005C2414yes—
917#11924005C2414yes—
918#11924005C2412yes—
919#11924005C2412yes—
920#11924005C2414yes—
921#11924005C2412yes—
922#11924005C2412yes—
923#11924005C2414yes—
924#11924005C2414yes—
925#11924005C2412yes—
926#11924005C2412yes—
927#11924005C2414yes—
928#11924005C2412yes—
929C4×Dic73C2411yescharacteristic
930C4×Dic73C2412yes—
931C4×Dic73C2411yescharacteristic
932C4×Dic73C2411yescharacteristic
933C4×Dic73C2411yescharacteristic
934C4×Dic73C2411yescharacteristic
935C4×Dic73C2411yescharacteristic
936C4×Dic73C2411yescharacteristic
937C4×Dic73C2411yescharacteristic
938C4×Dic73C2411yescharacteristic
939C4×Dic73C2411yescharacteristic
940C4×Dic73C2411yescharacteristic
941C4×Dic73C2411yescharacteristic
942C4×Dic73C2412yes—
943C4×Dic73C2414yes—
944C4×Dic73C2412yes—
945C4×Dic73C2414yes—
946C4×Dic73C2412yes—
947C4×Dic73C2414yes—
948C4×Dic73C2412yes—
949C4×Dic73C2414yes—
950C4×Dic73C2414yes—
951#41×C73—44no—
952#41×C73—48no—
953C2×Q8×C73C2411yescharacteristic
954C2×Q8×C73C2414yes—
955C2×Q8×C73C2412yes—
956C2×D4×C73C2412yes—
957C2×D4×C73C2414yes—
958C2×D4×C73C2412yes—
959C2×D4×C73C2414yes—
960C2×D4×C73C2411yescharacteristic
961C2×D4×C73C2412yes—
962C2×D4×C73C2414yes—
963C2×D4×C73C2412yes—
964C22×C4×C73C2411yescharacteristic
965C22×C4×C73C2411yescharacteristic
966C22×C4×C73C2412yes—
967C22×C4×C73C2412yes—
968C22×C4×C73C2411yescharacteristic
969C22×C4×C73C2412yes—
970C22×C4×C73C2414yes—
971C22×C4×C73C2414yes—
972C22×C4×C73C2414yes—
973C22×C4×C73C2414yes—
974C4⋊C4×C73C2412yes—
975C4⋊C4×C73C2414yes—
976C4⋊C4×C73C2412yes—
977C4⋊C4×C73C2412yes—
978C4⋊C4×C73C2412yes—
979C4⋊C4×C73C2414yes—
980C4⋊C4×C73C2414yes—
981C4⋊C4×C73C2414yes—
982C4⋊C4×C73C2414yes—
983C4⋊C4×C73C2412yes—
984C4⋊C4×C73C2414yes—
985C4⋊C4×C73C2414yes—
986C4⋊C4×C73C2412yes—
987C4⋊C4×C73C2412yes—
988C4⋊C4×C73C2412yes—
989C4⋊C4×C73C2412yes—
990C4⋊C4×C73C2414yes—
991C4⋊C4×C73C2412yes—
992C4⋊C4×C73C2411yescharacteristic
993C4⋊C4×C73C2411yescharacteristic
994C22⋊C4×C73C2412yes—
995C22⋊C4×C73C2414yes—
996C22⋊C4×C73C2412yes—
997C22⋊C4×C73C2412yes—
998C22⋊C4×C73C2412yes—
999C22⋊C4×C73C2414yes—
1000C22⋊C4×C73C2414yes—
1001C22⋊C4×C73C2414yes—
1002C22⋊C4×C73C2414yes—
1003C22⋊C4×C73C2414yes—
1004C22⋊C4×C73C2414yes—
1005C22⋊C4×C73C2412yes—
1006C42×C73C2411yescharacteristic
1007C42×C73C2411yescharacteristic
1008C42×C73C2411yescharacteristic
1009C42×C73C2411yescharacteristic
1010C42×C73C2412yes—
1011C42×C73C2414yes—
1012C23×C73C2512yes—
1013C23×C73C2514yes—
1014C23×C73C2511yescharacteristic
1015C22×D73—22no—
1016C22×D73—24no—
1017C22×D73—22no—
1018C22×D73—28no—
1019C22×D73—41no—
1020C22×D73—44no—
1021C22×D73—44no—
1022C22×D73—44no—
1023C22×D73—44no—
1024C22×D73—44no—
1025C22×D73—44no—
1026C22×D73—44no—
1027C22×D73—44no—
1028C22×D73—42no—
1029C22×D73—42no—
1030C22×D73C2514yes—
1031C22×D73C2512yes—
1032C22×D73C2514yes—
1033C22×D73C2511yescharacteristic
1034C22×D73C2511yescharacteristic
1035Q8×C73—42no—
1036Q8×C73—44no—
1037Q8×C73—41no—
1038D4×C73—28no—
1039D4×C73—24no—
1040D4×C73—24no—
1041D4×C73—42no—
1042D4×C73—44no—
1043D4×C73—42no—
1044D4×C73—44no—
1045D4×C73—41no—
1046C2×C4×C73—22no—
1047C2×C4×C73—24no—
1048C2×C4×C73—22no—
1049C2×C4×C73—24no—
1050C2×C4×C73—44no—
1051C2×C4×C73—44no—
1052C2×C4×C73—44no—
1053C2×C4×C73—41no—
1054C2×C4×C73—42no—
1055C2×C4×C73—44no—
1056C2×C4×C73C2511yescharacteristic
1057C2×C4×C73C2512yes—
1058C2×C4×C73C2511yescharacteristic
1059C2×C4×C73C2511yescharacteristic
1060C2×C4×C73C2511yescharacteristic
1061C2×C4×C73C2511yescharacteristic
1062C2×C4×C73C2512yes—
1063C2×C4×C73C2514yes—
1064C2×C4×C73C2512yes—
1065C2×C4×C73C2514yes—
1066C2×C4×C73C2514yes—
1067C2×C4×C73C2511yescharacteristic
1068C22⋊D73—28no—
1069C22⋊D73—24no—
1070C22⋊D73—24no—
1071C22⋊D73—28no—
1072C22⋊D73—24no—
1073C22⋊D73—44no—
1074C22⋊D73—44no—
1075C22⋊D73—44no—
1076C22⋊D73—44no—
1077C22⋊D73—44no—
1078C22⋊D73—44no—
1079C22⋊D73—44no—
1080C22⋊D73—44no—
1081C22⋊D73—44no—
1082C22⋊D73—42no—
1083C22⋊D73—42no—
1084C2×Dic73—28no—
1085C2×Dic73—24no—
1086C2×Dic73—41no—
1087C2×Dic73—41no—
1088C2×Dic73—42no—
1089C2×Dic73—44no—
1090C2×Dic73—42no—
1091C2×Dic73H(5,𝔽2)14yes—
1092C2×Dic73C2511yescharacteristic
1093C2×Dic73C2514yes—
1094C2×Dic73C2511yescharacteristic
1095C2×Dic73C2512yes—
1096C2×Dic73C2512yes—
1097C2×Dic73C2511yescharacteristic
1098C2×Dic73C2511yescharacteristic
1099C2×Dic73C2512yes—
1100C2×Dic73C2514yes—
1101C2×Dic73C2511yescharacteristic
1102C2×Dic73C2511yescharacteristic
1103D292—28no—
1104D292—24no—
1105D292—24no—
1106D292—24no—
1107D292—42no—
1108D292—44no—
1109D292—44no—
1110D292—44no—
1111D292—42no—
1112D292—44no—
1113D292—42no—
1114D292—44no—
1115D292—44no—
1116D292—44no—
1117D292—44no—
1118D292—42no—
1119D292—41no—
1120C4×D73—22no—
1121C4×D73—22no—
1122C4×D73—22no—
1123C4×D73—22no—
1124C4×D73—24no—
1125C4×D73—22no—
1126C4×D73—28no—
1127C4×D73—22no—
1128C4×D73—28no—
1129C4×D73—22no—
1130C4×D73—22no—
1131C4×D73—28no—
1132C4×D73—24no—
1133C4×D73—41no—
1134C4×D73—41no—
1135C4×D73—41no—
1136C4×D73—41no—
1137C4×D73—44no—
1138C4×D73—44no—
1139C4×D73—44no—
1140C4×D73—44no—
1141C4×D73—44no—
1142C4×D73—44no—
1143C4×D73—44no—
1144C4×D73—44no—
1145C4×D73—42no—
1146Dic146—24no—
1147Dic146—28no—
1148Dic146—24no—
1149Dic146—42no—
1150Dic146—44no—
1151Dic146—42no—
1152Dic146—41no—
1153Dic146—42no—
1154C22×C73—21no—
1155C22×C73—21no—
1156C22×C73—24no—
1157C22×C73—22no—
1158C22×C73—22no—
1159C22×C73—24no—
1160C22×C73—22no—
1161C22×C73—24no—
1162C22×C73C2×H(5,𝔽2)12yes—
1163C22×C73C2611yescharacteristic
1164C2×D73—21no—
1165C2×D73—21no—
1166C2×D73—24no—
1167C2×D73—21no—
1168C2×D73—22no—
1169C2×D73—24no—
1170C2×D73—21no—
1171C2×D73—22no—
1172C2×D73—21no—
1173C2×D73—22no—
1174C2×D73—24no—
1175C2×D73—24no—
1176C2×D73—24no—
1177C2×D73—24no—
1178C2×D73—44no—
1179C2×D73—88no—
1180C2×D73—84no—
1181C2×D73—88no—
1182C2×D73—88no—
1183C2×D73#58512yes—
1184C4×C73—24no—
1185C4×C73—22no—
1186C4×C73—21no—
1187C4×C73—24no—
1188C4×C73—21no—
1189C4×C73—21no—
1190C4×C73—21no—
1191C4×C73—22no—
1192C4×C73—21no—
1193C4×C73—24no—
1194C4×C73—22no—
1195C4×C73#58512yes—
1196Dic73—24no—
1197Dic73—22no—
1198Dic73—24no—
1199Dic73—21no—
1200Dic73—22no—
1201Dic73—22no—
1202Dic73—21no—
1203Dic73—21no—
1204Dic73—21no—
1205Dic73C2×H(5,𝔽2)12yes—
1206Dic73C2×H(5,𝔽2)12yes—
1207#62748—731nomaximal, Sylow
1208C2×C73—22no—
1209C2×C73—44no—
1210C2×C73—42no—
1211C2×C73C22×H(5,𝔽2)11yescharacteristic
1212C2×C73C2×#58511yescharacteristic
1213C2×C73C2×#58511yescharacteristic
1214D73—22no—
1215D73—41no—
1216D73—42no—
1217D73—44no—
1218D73—44no—
1219#3562—734no—
1220#3561—732no—
1221#3560—734no—
1222#3559—731no—
1223#3559D7311yescharacteristic, complemented
1224#3558—732no—
1225#3558—731no—
1226#3558—731no—
1227#3554—732no—
1228#3552—732no—
1229#3546—732no—
1230#3543—732no—
1231#3537—732no—
1232#3536—732no—
1233#3534—732no—
1234#3534—732no—
1235#3529—732no—
1236#3529—732no—
1237#3481—732no—
1238#3481—732no—
1239#3480—732no—
1240D4×#41—734no—
1241D4×#41—732no—
1242#3460—732no—
1243#3460—732no—
1244#3459—734no—
1245#3455—732no—
1246#3449—732no—
1247#3444—731no—
1248C2×#532—731no—
1249C2×#529—731no—
1250C73#6274811yescharacteristic, complemented, Sylow
1251C22×#41—732no—
1252C22×#41—734no—
1253#563—734no—
1254#563—732no—
1255#563—734no—
1256#563C2×D7312yescomplemented
1257#562—732no—
1258#562—732no—
1259#562—732no—
1260#562—734no—
1261#562—734no—
1262#562—734no—
1263#562—734no—
1264#562C2×D7312yescomplemented
1265H(3,𝔽4)—732no—
1266H(3,𝔽4)—732no—
1267#560—734no—
1268#560—734no—
1269#560—734no—
1270#560—734no—
1271#560—734no—
1272#560—734no—
1273#559—734no—
1274#559—732no—
1275#559—732no—
1276#559—732no—
1277#557—732no—
1278#556—734no—
1279#556—732no—
1280#554—732no—
1281#554—732no—
1282#554—732no—
1283#554C2×D7312yescomplemented
1284#553—732no—
1285#553—732no—
1286#553—734no—
1287#553—734no—
1288#553—734no—
1289#553—732no—
1290#553—732no—
1291#553—734no—
1292#553C2×D7312yescomplemented
1293#553C2×D7312yescomplemented
1294#551—734no—
1295#551—734no—
1296#551—734no—
1297#551—734no—
1298#550—732no—
1299#550—732no—
1300#550—734no—
1301D4×Q8—732no—
1302D4×Q8—734no—
1303#548—734no—
1304#548—734no—
1305#548—734no—
1306#548—732no—
1307#548—732no—
1308#547—732no—
1309#547—732no—
1310#547—734no—
1311#547—734no—
1312#547C2×D7312yescomplemented
1313#547C2×D7314yescomplemented
1314#546—734no—
1315#546—734no—
1316#546—734no—
1317#546—734no—
1318#546—734no—
1319#546—734no—
1320#546—734no—
1321#546—734no—
1322#546—734no—
1323#546—734no—
1324#546—734no—
1325#546—732no—
1326#546—732no—
1327#546—732no—
1328#546—732no—
1329D42—734no—
1330D42—732no—
1331D42—732no—
1332D42—734no—
1333D42—732no—
1334D42—734no—
1335D42—732no—
1336D42—732no—
1337#544—732no—
1338#544C2×D7312yescomplemented
1339#543—734no—
1340#542—732no—
1341#542—732no—
1342#542—734no—
1343#542—734no—
1344#542—734no—
1345#542—734no—
1346#542—732no—
1347#542—732no—
1348#541—734no—
1349#540—734no—
1350#540—732no—
1351#540—732no—
1352#540—734no—
1353#540—734no—
1354#540—732no—
1355#540C2×D7312yescomplemented
1356#539—734no—
1357#539—734no—
1358#539—734no—
1359#539—734no—
1360#539—734no—
1361#539—732no—
1362#539—734no—
1363#539C2×D7312yescomplemented
1364#539C2×D7314yescomplemented
1365#538—734no—
1366#538—734no—
1367#538—734no—
1368#538—734no—
1369#538—734no—
1370#538—732no—
1371#538—734no—
1372#538—734no—
1373#538—734no—
1374#538—732no—
1375#538—734no—
1376#538—734no—
1377#538—734no—
1378#537—734no—
1379#537—732no—
1380#537—732no—
1381#537—732no—
1382#537C2×D7312yescomplemented
1383#536—734no—
1384#536—734no—
1385#535—732no—
1386#535—734no—
1387#535—734no—
1388#535—732no—
1389#535—732no—
1390#535—732no—
1391#534—734no—
1392#534—734no—
1393#534—732no—
1394#534—732no—
1395#534—734no—
1396#534—734no—
1397#533—731no—
1398#533—731no—
1399#533—731no—
1400#532—732no—
1401#532—731no—
1402#532—732no—
1403#532—734no—
1404#532—731no—
1405#532—732no—
1406#532—731no—
1407#532—732no—
1408#532—732no—
1409#532—731no—
1410#532—734no—
1411#532—732no—
1412#532—734no—
1413#532—732no—
1414#532—732no—
1415#532—731no—
1416#532—731no—
1417#532C2×D7311yescharacteristic, complemented
1418C2×C4⋊Q8—731no—
1419C2×#127—731no—
1420#529—732no—
1421#529—732no—
1422#529—734no—
1423#529—734no—
1424#529—732no—
1425#529—732no—
1426#529—732no—
1427#529—732no—
1428#529—732no—
1429#529—732no—
1430#529—732no—
1431#529—732no—
1432#529—731no—
1433#529—734no—
1434#529—732no—
1435#529—731no—
1436#529—732no—
1437#529—734no—
1438#529—734no—
1439#529—734no—
1440#529—732no—
1441#529—732no—
1442#529—731no—
1443#529C2×D7311yescharacteristic, complemented
1444C2×#126—732no—
1445C2×#125C2×D7311yescharacteristic, complemented
1446C2×#124—732no—
1447C2×#124—731no—
1448#525—732no—
1449#525—734no—
1450#525—734no—
1451#525—734no—
1452#525—734no—
1453#525—731no—
1454#525—734no—
1455#525—734no—
1456#525—734no—
1457#525—734no—
1458#525—734no—
1459#525—731no—
1460#525—734no—
1461#525—734no—
1462#525—732no—
1463C2×#123—732no—
1464C2×C22⋊Q8—731no—
1465C2×#121—732no—
1466C2×#121—732no—
1467C2×#121—731no—
1468C4×#41—731no—
1469C4×#41—732no—
1470C4×#41—731no—
1471C4×#41—734no—
1472C4×#41—732no—
1473C4×#41—732no—
1474C4×#41—732no—
1475C2×C4×Q8—731no—
1476C2×C4×D4—732no—
1477C2×C4×D4—732no—
1478C2×C4×D4—734no—
1479C2×C4×D4—732no—
1480C2×C4×D4—732no—
1481C2×C4×D4—731no—
1482C2×C4×D4—734no—
1483C2×C4×D4—732no—
1484C2×#117—732no—
1485C22×C42—731no—
1486C2×#41—2928no—
1487C2×#41—29216no—
1488C2×#41—731no—
1489C2×#41—734no—
1490C2×#41—732no—
1491C2×#41—731no—
1492C2×#41—732no—
1493C2×#41—734no—
1494C2×#41—732no—
1495C2×#41—732no—
1496C2×#41—734no—
1497C2×#41—732no—
1498C2×#41—732no—
1499C2×#41—732no—
1500C2×#41—734no—
1501C2×#41—734no—
1502C2×#41—734no—
1503C2×#41—734no—
1504C2×#41C22×D7312yes—
1505C2×#41C22×D7314yes—
1506C22×Q8—732no—
1507C22×Q8—734no—
1508C22×Q8—731no—
1509C22×D4—732no—
1510C22×D4—732no—
1511C22×D4—734no—
1512C22×D4—732no—
1513C22×D4—734no—
1514C22×D4—732no—
1515C22×D4—734no—
1516C22×D4—734no—
1517C22×D4—734no—
1518C22×D4—732no—
1519C22×D4—731no—
1520C22×D4—734no—
1521C22×D4—732no—
1522C23×C4—734no—
1523C23×C4—734no—
1524C23×C4—734no—
1525C23×C4—731no—
1526C23×C4—731no—
1527C23×C4—732no—
1528C23×C4—731no—
1529C4⋊Q8—732no—
1530C4⋊Q8—731no—
1531C4⋊Q8—732no—
1532C4⋊Q8—732no—
1533C4⋊Q8—731no—
1534C4⋊Q8—731no—
1535C4⋊Q8—734no—
1536C4⋊Q8—732no—
1537C4⋊Q8—734no—
1538C4⋊Q8—731no—
1539C4⋊Q8C22×D7311yescharacteristic
1540C4⋊Q8C22×D7312yes—
1541C4⋊Q8C22×D7314yes—
1542#127—732no—
1543#127—732no—
1544#127—732no—
1545#127—731no—
1546#127—734no—
1547#127—732no—
1548#127—734no—
1549#127—731no—
1550#127—732no—
1551#127—734no—
1552#127C22×D7311yescharacteristic
1553#126—734no—
1554#126—734no—
1555#126—734no—
1556#126—734no—
1557#126—732no—
1558#126—734no—
1559#126—734no—
1560#126—734no—
1561#126—734no—
1562#126—734no—
1563#126—734no—
1564#126—734no—
1565#126—732no—
1566#126—734no—
1567#126—734no—
1568#126—734no—
1569#126—732no—
1570#126—734no—
1571#126—734no—
1572#126C22×D7312yes—
1573#126C22×D7314yes—
1574#126C22×D7314yes—
1575#125—732no—
1576#125—732no—
1577#125—734no—
1578#125—734no—
1579#125—734no—
1580#125—734no—
1581#125—734no—
1582#125—732no—
1583#125—731no—
1584#125C22×D7312yes—
1585#125C22×D7312yes—
1586#125C22×D7312yes—
1587#125C22×D7312yes—
1588#125C22×D7311yescharacteristic
1589#125C22×D7314yes—
1590#125C22×D7312yes—
1591#124—732no—
1592#124—734no—
1593#124—734no—
1594#124—734no—
1595#124—734no—
1596#124—732no—
1597#124—732no—
1598#124—734no—
1599#124—734no—
1600#124—732no—
1601#124—732no—
1602#124—734no—
1603#124—734no—
1604#124—734no—
1605#124—734no—
1606#124—734no—
1607#124—734no—
1608#124—734no—
1609#124—734no—
1610#124—734no—
1611#124—732no—
1612#124—732no—
1613#124—732no—
1614#124—732no—
1615#124—732no—
1616#124—731no—
1617#124—734no—
1618#124—732no—
1619#124C22×D7312yes—
1620#124C22×D7311yescharacteristic
1621#123—734no—
1622#123—732no—
1623#123—734no—
1624#123—734no—
1625#123—734no—
1626#123—734no—
1627#123—734no—
1628#123—734no—
1629#123—734no—
1630#123—734no—
1631#123—734no—
1632#123—734no—
1633#123—732no—
1634#123—732no—
1635#123—734no—
1636#123—734no—
1637#123—734no—
1638#123—734no—
1639#123—734no—
1640#123—734no—
1641#123—734no—
1642#123—734no—
1643#123—734no—
1644#123—734no—
1645#123—734no—
1646#123—734no—
1647#123—734no—
1648#123—734no—
1649#123—734no—
1650#123—732no—
1651#123—732no—
1652#123—734no—
1653#123—734no—
1654#123—734no—
1655#123—734no—
1656#123—734no—
1657#123—734no—
1658#123—734no—
1659#123—734no—
1660#123C22×D7312yes—
1661#123C22×D7314yes—
1662#123C22×D7314yes—
1663#123C22×D7314yes—
1664#123C22×D7314yes—
1665#123C22×D7314yes—
1666#123C22×D7314yes—
1667C22⋊Q8—731no—
1668C22⋊Q8—734no—
1669C22⋊Q8—734no—
1670C22⋊Q8—734no—
1671C22⋊Q8—734no—
1672C22⋊Q8—734no—
1673C22⋊Q8—731no—
1674C22⋊Q8—734no—
1675C22⋊Q8—734no—
1676C22⋊Q8—732no—
1677C22⋊Q8—732no—
1678C22⋊Q8—732no—
1679C22⋊Q8—732no—
1680C22⋊Q8—732no—
1681C22⋊Q8—732no—
1682C22⋊Q8—732no—
1683C22⋊Q8—732no—
1684C22⋊Q8—731no—
1685C22⋊Q8—734no—
1686C22⋊Q8—734no—
1687C22⋊Q8—734no—
1688C22⋊Q8—734no—
1689C22⋊Q8—734no—
1690C22⋊Q8—734no—
1691C22⋊Q8—734no—
1692C22⋊Q8—734no—
1693C22⋊Q8—734no—
1694C22⋊Q8—734no—
1695C22⋊Q8—734no—
1696C22⋊Q8—732no—
1697C22⋊Q8—734no—
1698C22⋊Q8—734no—
1699C22⋊Q8—732no—
1700C22⋊Q8—734no—
1701C22⋊Q8—734no—
1702C22⋊Q8C22×D7311yescharacteristic
1703C22⋊Q8C22×D7314yes—
1704C22⋊Q8C22×D7314yes—
1705C22⋊Q8C22×D7314yes—
1706C22⋊Q8C22×D7314yes—
1707C22⋊Q8C22×D7314yes—
1708C22⋊Q8C22×D7314yes—
1709#121—734no—
1710#121—732no—
1711#121—732no—
1712#121—734no—
1713#121—732no—
1714#121—731no—
1715#121—734no—
1716#121—734no—
1717#121—734no—
1718#121—734no—
1719#121—734no—
1720#121—734no—
1721#121—734no—
1722#121—734no—
1723#121—734no—
1724#121—732no—
1725#121—732no—
1726#121—731no—
1727#121—734no—
1728#121—734no—
1729#121—734no—
1730#121—734no—
1731#121—734no—
1732#121—734no—
1733#121—734no—
1734#121—732no—
1735#121—734no—
1736#121—732no—
1737#121—732no—
1738#121—732no—
1739#121—732no—
1740#121—732no—
1741#121—732no—
1742#121—731no—
1743#121—734no—
1744#121—734no—
1745#121—734no—
1746#121—734no—
1747#121—734no—
1748#121—734no—
1749#121—732no—
1750#121—732no—
1751#121—734no—
1752#121—732no—
1753#121—734no—
1754#121—734no—
1755#121—734no—
1756#121—734no—
1757#121—734no—
1758#121—734no—
1759#121—732no—
1760#121—732no—
1761#121—732no—
1762#121—734no—
1763#121—734no—
1764#121—734no—
1765#121—734no—
1766#121—734no—
1767#121—734no—
1768#121—734no—
1769#121—734no—
1770#121—734no—
1771#121—734no—
1772#121C22×D7312yes—
1773#121C22×D7312yes—
1774#121C22×D7311yescharacteristic
1775#121C22×D7314yes—
1776#121C22×D7314yes—
1777#121C22×D7312yes—
1778#121C22×D7314yes—
1779#121C22×D7312yes—
1780#121C22×D7314yes—
1781#120—732no—
1782#120—734no—
1783#120—734no—
1784#120—734no—
1785#120—734no—
1786#120—734no—
1787#120—734no—
1788#120—734no—
1789#120—734no—
1790#120—732no—
1791#120—734no—
1792#120—734no—
1793#120—734no—
1794#120—734no—
1795#120—734no—
1796#120—734no—
1797#120—734no—
1798#120—734no—
1799#120—734no—
1800#120—734no—
1801#120—734no—
1802#120—734no—
1803#120—734no—
1804#120—734no—
1805C4×Q8—731no—
1806C4×Q8—732no—
1807C4×Q8—732no—
1808C4×Q8—732no—
1809C4×Q8—732no—
1810C4×Q8—731no—
1811C4×Q8—732no—
1812C4×Q8—732no—
1813C4×Q8—732no—
1814C4×Q8—734no—
1815C4×Q8—732no—
1816C4×Q8—732no—
1817C4×Q8—731no—
1818C4×Q8—734no—
1819C4×Q8—732no—
1820C4×Q8C22×D7311yescharacteristic
1821C4×D4—732no—
1822C4×D4—732no—
1823C4×D4—734no—
1824C4×D4—731no—
1825C4×D4—732no—
1826C4×D4—734no—
1827C4×D4—734no—
1828C4×D4—734no—
1829C4×D4—734no—
1830C4×D4—734no—
1831C4×D4—734no—
1832C4×D4—732no—
1833C4×D4—732no—
1834C4×D4—732no—
1835C4×D4—734no—
1836C4×D4—734no—
1837C4×D4—734no—
1838C4×D4—734no—
1839C4×D4—732no—
1840C4×D4—732no—
1841C4×D4—732no—
1842C4×D4—732no—
1843C4×D4—734no—
1844C4×D4—734no—
1845C4×D4—734no—
1846C4×D4—732no—
1847C4×D4—734no—
1848C4×D4—734no—
1849C4×D4—732no—
1850C4×D4—732no—
1851C4×D4—734no—
1852C4×D4—734no—
1853C4×D4—734no—
1854C4×D4—734no—
1855C4×D4—734no—
1856C4×D4—732no—
1857C4×D4—732no—
1858C4×D4—734no—
1859C4×D4—731no—
1860C4×D4—732no—
1861C4×D4—732no—
1862C4×D4—732no—
1863C4×D4—732no—
1864C4×D4—734no—
1865C4×D4—734no—
1866C4×D4—734no—
1867C4×D4—734no—
1868C4×D4—734no—
1869C4×D4—734no—
1870C4×D4—732no—
1871C4×D4—732no—
1872C4×D4—732no—
1873C4×D4—732no—
1874C4×D4—732no—
1875C4×D4—732no—
1876C4×D4—734no—
1877C4×D4—734no—
1878C4×D4—734no—
1879C4×D4—732no—
1880C4×D4—732no—
1881C4×D4—734no—
1882C4×D4—732no—
1883C4×D4—732no—
1884C4×D4—731no—
1885C4×D4C22×D7312yes—
1886C4×D4C22×D7312yes—
1887C4×D4C22×D7314yes—
1888C4×D4C22×D7312yes—
1889C4×D4C22×D7312yes—
1890C4×D4C22×D7311yescharacteristic
1891C4×D4C22×D7314yes—
1892C4×D4C22×D7312yes—
1893#117—734no—
1894#117—734no—
1895#117—734no—
1896#117—734no—
1897#117—734no—
1898#117—732no—
1899#117—731no—
1900#117—731no—
1901#117—732no—
1902#117—732no—
1903#117—732no—
1904#117—732no—
1905#117—734no—
1906#117—732no—
1907#117—734no—
1908#117—732no—
1909#117—732no—
1910#117—734no—
1911#117C22×D7312yes—
1912#117C22×D7312yes—
1913C2×C4⋊C4—732no—
1914C2×C4⋊C4—732no—
1915C2×C4⋊C4—732no—
1916C2×C4⋊C4—732no—
1917C2×C4⋊C4—732no—
1918C2×C4⋊C4—734no—
1919C2×C4⋊C4C22×D7312yes—
1920C2×C4⋊C4C22×D7311yescharacteristic
1921C2×C4⋊C4C22×D7312yes—
1922C2×C4⋊C4C22×D7312yes—
1923C2×C4⋊C4C22×D7314yes—
1924C2×C4⋊C4C22×D7311yescharacteristic
1925C2×C22⋊C4—732no—
1926C2×C22⋊C4—732no—
1927C2×C22⋊C4—732no—
1928C2×C22⋊C4—732no—
1929C2×C22⋊C4—732no—
1930C2×C22⋊C4—734no—
1931C2×C22⋊C4—734no—
1932C2×C22⋊C4—734no—
1933C2×C22⋊C4—734no—
1934C2×C22⋊C4—734no—
1935C2×C22⋊C4—734no—
1936C2×C22⋊C4—734no—
1937C2×C22⋊C4—734no—
1938C2×C42—731no—
1939C2×C42—732no—
1940C2×C42—731no—
1941C2×C42—732no—
1942C2×C42—734no—
1943C2×C42—731no—
1944C2×C42—731no—
1945C2×C42—731no—
1946C2×C42—732no—
1947C2×C42—734no—
1948C2×C42—731no—
1949C2×C42—731no—
1950C2×C42—731no—
1951C2×C42—731no—
1952C2×C42—731no—
1953C2×C42—731no—
1954C2×C42C22×D7311yescharacteristic
1955C24—734no—
1956C24—734no—
1957C24—734no—
1958C24—732no—
1959C24—731no—
1960#41—44no—
1961#41—48no—
1962#41—2924no—
1963#41—2924no—
1964#41—2928no—
1965#41—2924no—
1966#41—2928no—
1967#41—2928no—
1968#41—2928no—
1969#41—2924no—
1970#41—2922no—
1971#41—2922no—
1972#41—2928no—
1973#41—2924no—
1974#41—2928no—
1975#41—2924no—
1976#41—14616no—
1977#41—1468no—
1978C2×Q8—2922no—
1979C2×Q8—2924no—
1980C2×Q8—2928no—
1981C2×Q8—732no—
1982C2×Q8—732no—
1983C2×Q8—731no—
1984C2×Q8—734no—
1985C2×Q8—732no—
1986C2×Q8—732no—
1987C2×Q8—732no—
1988C2×Q8—734no—
1989C2×Q8C23×D7311yescharacteristic
1990C2×Q8C23×D7314yes—
1991C2×Q8C23×D7312yes—
1992C2×D4—2922no—
1993C2×D4—2924no—
1994C2×D4—2924no—
1995C2×D4—2928no—
1996C2×D4—2928no—
1997C2×D4—2928no—
1998C2×D4—2928no—
1999C2×D4—2928no—
2000C2×D4—2924no—
2001C2×D4—2924no—
2002C2×D4—2924no—
2003C2×D4—2924no—
2004C2×D4—2928no—
2005C2×D4—732no—
2006C2×D4—734no—
2007C2×D4—734no—
2008C2×D4—734no—
2009C2×D4—734no—
2010C2×D4—732no—
2011C2×D4—734no—
2012C2×D4—734no—
2013C2×D4—734no—
2014C2×D4—734no—
2015C2×D4—734no—
2016C2×D4—732no—
2017C2×D4—732no—
2018C2×D4—734no—
2019C2×D4—732no—
2020C2×D4—734no—
2021C2×D4—732no—
2022C2×D4—731no—
2023C2×D4—734no—
2024C2×D4—734no—
2025C2×D4—732no—
2026C2×D4—734no—
2027C2×D4—734no—
2028C2×D4—732no—
2029C2×D4—734no—
2030C2×D4—734no—
2031C2×D4—734no—
2032C2×D4—732no—
2033C2×D4—734no—
2034C2×D4—732no—
2035C2×D4—734no—
2036C2×D4—732no—
2037C2×D4—732no—
2038C2×D4C23×D7312yes—
2039C2×D4C23×D7312yes—
2040C2×D4C23×D7314yes—
2041C2×D4C23×D7311yescharacteristic
2042C2×D4C23×D7312yes—
2043C2×D4C23×D7314yes—
2044C2×D4C23×D7314yes—
2045C2×D4C23×D7312yes—
2046C22×C4—2922no—
2047C22×C4—2922no—
2048C22×C4—2928no—
2049C22×C4—2928no—
2050C22×C4—2928no—
2051C22×C4—731no—
2052C22×C4—731no—
2053C22×C4—732no—
2054C22×C4—732no—
2055C22×C4—734no—
2056C22×C4—731no—
2057C22×C4—731no—
2058C22×C4—731no—
2059C22×C4—731no—
2060C22×C4—732no—
2061C22×C4—734no—
2062C22×C4—734no—
2063C22×C4—734no—
2064C22×C4—734no—
2065C22×C4—734no—
2066C22×C4—734no—
2067C22×C4—734no—
2068C22×C4—734no—
2069C22×C4—731no—
2070C22×C4—732no—
2071C22×C4—734no—
2072C22×C4—731no—
2073C22×C4—731no—
2074C22×C4—731no—
2075C22×C4—731no—
2076C22×C4—731no—
2077C22×C4—731no—
2078C22×C4—731no—
2079C22×C4—731no—
2080C22×C4—732no—
2081C22×C4—732no—
2082C22×C4—734no—
2083C22×C4—734no—
2084C22×C4—734no—
2085C22×C4—1464no—
2086C22×C4—1468no—
2087C22×C4C23×D7311yescharacteristic
2088C22×C4C23×D7311yescharacteristic
2089C22×C4C23×D7312yes—
2090C22×C4C23×D7312yes—
2091C22×C4C23×D7311yescharacteristic
2092C22×C4C23×D7312yes—
2093C22×C4C23×D7314yes—
2094C22×C4C23×D7314yes—
2095C22×C4C23×D7314yes—
2096C22×C4C23×D7314yes—
2097C4⋊C4—732no—
2098C4⋊C4—734no—
2099C4⋊C4—734no—
2100C4⋊C4—734no—
2101C4⋊C4—734no—
2102C4⋊C4—734no—
2103C4⋊C4—734no—
2104C4⋊C4—732no—
2105C4⋊C4—732no—
2106C4⋊C4—734no—
2107C4⋊C4—732no—
2108C4⋊C4—734no—
2109C4⋊C4—732no—
2110C4⋊C4—732no—
2111C4⋊C4—732no—
2112C4⋊C4—732no—
2113C4⋊C4—734no—
2114C4⋊C4—734no—
2115C4⋊C4—732no—
2116C4⋊C4—732no—
2117C4⋊C4—732no—
2118C4⋊C4—734no—
2119C4⋊C4—734no—
2120C4⋊C4—734no—
2121C4⋊C4—732no—
2122C4⋊C4—734no—
2123C4⋊C4—732no—
2124C4⋊C4—732no—
2125C4⋊C4—731no—
2126C4⋊C4—731no—
2127C4⋊C4C23×D7312yes—
2128C4⋊C4C23×D7314yes—
2129C4⋊C4C23×D7312yes—
2130C4⋊C4C23×D7312yes—
2131C4⋊C4C23×D7312yes—
2132C4⋊C4C23×D7314yes—
2133C4⋊C4C23×D7314yes—
2134C4⋊C4C23×D7312yes—
2135C4⋊C4C23×D7314yes—
2136C4⋊C4C23×D7314yes—
2137C4⋊C4C23×D7314yes—
2138C4⋊C4C23×D7314yes—
2139C4⋊C4C23×D7312yes—
2140C4⋊C4C23×D7312yes—
2141C4⋊C4C23×D7311yescharacteristic
2142C4⋊C4C23×D7312yes—
2143C4⋊C4C23×D7314yes—
2144C4⋊C4C23×D7311yescharacteristic
2145C4⋊C4C23×D7312yes—
2146C4⋊C4C23×D7312yes—
2147C22⋊C4—734no—
2148C22⋊C4—734no—
2149C22⋊C4—734no—
2150C22⋊C4—734no—
2151C22⋊C4—732no—
2152C22⋊C4—732no—
2153C22⋊C4—732no—
2154C22⋊C4—734no—
2155C22⋊C4—734no—
2156C22⋊C4—734no—
2157C22⋊C4—734no—
2158C22⋊C4—732no—
2159C22⋊C4—732no—
2160C22⋊C4—732no—
2161C22⋊C4—734no—
2162C22⋊C4—734no—
2163C22⋊C4—734no—
2164C22⋊C4—734no—
2165C22⋊C4—734no—
2166C22⋊C4—734no—
2167C22⋊C4—734no—
2168C22⋊C4—734no—
2169C22⋊C4—734no—
2170C22⋊C4—734no—
2171C22⋊C4—734no—
2172C22⋊C4—734no—
2173C22⋊C4—734no—
2174C22⋊C4—734no—
2175C22⋊C4—734no—
2176C22⋊C4—734no—
2177C22⋊C4—734no—
2178C22⋊C4—734no—
2179C22⋊C4—734no—
2180C22⋊C4—732no—
2181C22⋊C4—734no—
2182C22⋊C4—734no—
2183C22⋊C4—732no—
2184C22⋊C4—732no—
2185C22⋊C4—734no—
2186C22⋊C4—732no—
2187C22⋊C4—734no—
2188C22⋊C4—732no—
2189C22⋊C4—732no—
2190C22⋊C4—732no—
2191C22⋊C4C23×D7312yes—
2192C22⋊C4C23×D7314yes—
2193C22⋊C4C23×D7314yes—
2194C22⋊C4C23×D7314yes—
2195C22⋊C4C23×D7314yes—
2196C22⋊C4C23×D7312yes—
2197C22⋊C4C23×D7314yes—
2198C22⋊C4C23×D7314yes—
2199C22⋊C4C23×D7312yes—
2200C22⋊C4C23×D7314yes—
2201C22⋊C4C23×D7312yes—
2202C22⋊C4C23×D7312yes—
2203C42—731no—
2204C42—734no—
2205C42—731no—
2206C42—732no—
2207C42—732no—
2208C42—731no—
2209C42—731no—
2210C42—731no—
2211C42—731no—
2212C42—731no—
2213C42—731no—
2214C42—731no—
2215C42—731no—
2216C42—731no—
2217C42—731no—
2218C42—732no—
2219C42—732no—
2220C42—732no—
2221C42—734no—
2222C42—734no—
2223C42—734no—
2224C42—734no—
2225C42C23×D7311yescharacteristic
2226C42C23×D7311yescharacteristic
2227C42C23×D7311yescharacteristic
2228C42C23×D7311yescharacteristic
2229C42C23×D7312yes—
2230C42C23×D7314yes—
2231C23—2921no—
2232C23—2924no—
2233C23—2924no—
2234C23—2924no—
2235C23—2922no—
2236C23—2922no—
2237C23—2924no—
2238C23—2924no—
2239C23—2924no—
2240C23—2924no—
2241C23—2924no—
2242C23—731no—
2243C23—734no—
2244C23—734no—
2245C23—732no—
2246C23—731no—
2247C23—1462no—
2248C23—1468no—
2249C23—1462no—
2250C23—1464no—
2251C23C24×D7314yes—
2252C23C24×D7312yes—
2253C23C24×D7311yescharacteristic
2254Q8—44no—
2255Q8—42no—
2256Q8—41no—
2257Q8—2924no—
2258Q8—2922no—
2259Q8—2922no—
2260Q8—2921no—
2261Q8—2922no—
2262Q8—1468no—
2263Q8—1464no—
2264Q8—1464no—
2265D4—28no—
2266D4—24no—
2267D4—24no—
2268D4—44no—
2269D4—42no—
2270D4—44no—
2271D4—42no—
2272D4—41no—
2273D4—2924no—
2274D4—2922no—
2275D4—2924no—
2276D4—2924no—
2277D4—2924no—
2278D4—2924no—
2279D4—2924no—
2280D4—2924no—
2281D4—2922no—
2282D4—2924no—
2283D4—2922no—
2284D4—2921no—
2285D4—2922no—
2286D4—2924no—
2287D4—2924no—
2288D4—2924no—
2289D4—2924no—
2290D4—2924no—
2291D4—2924no—
2292D4—2924no—
2293D4—2924no—
2294D4—2924no—
2295D4—2922no—
2296D4—2922no—
2297D4—1468no—
2298D4—1464no—
2299D4—1468no—
2300D4—1464no—
2301D4—1464no—
2302D4—1468no—
2303D4—1464no—
2304D4—1464no—
2305D4—1464no—
2306C2×C4—22no—
2307C2×C4—24no—
2308C2×C4—22no—
2309C2×C4—24no—
2310C2×C4—44no—
2311C2×C4—44no—
2312C2×C4—44no—
2313C2×C4—41no—
2314C2×C4—42no—
2315C2×C4—44no—
2316C2×C4—2924no—
2317C2×C4—2924no—
2318C2×C4—2924no—
2319C2×C4—2924no—
2320C2×C4—2924no—
2321C2×C4—2924no—
2322C2×C4—2921no—
2323C2×C4—2921no—
2324C2×C4—2921no—
2325C2×C4—2921no—
2326C2×C4—2924no—
2327C2×C4—2922no—
2328C2×C4—2924no—
2329C2×C4—2921no—
2330C2×C4—2921no—
2331C2×C4—2922no—
2332C2×C4—2922no—
2333C2×C4—2924no—
2334C2×C4—734no—
2335C2×C4—731no—
2336C2×C4—731no—
2337C2×C4—731no—
2338C2×C4—734no—
2339C2×C4—731no—
2340C2×C4—732no—
2341C2×C4—732no—
2342C2×C4—731no—
2343C2×C4—731no—
2344C2×C4—732no—
2345C2×C4—734no—
2346C2×C4—1462no—
2347C2×C4—1468no—
2348C2×C4—1468no—
2349C2×C4—1464no—
2350C2×C4—1462no—
2351C2×C4—1468no—
2352C2×C4—1462no—
2353C2×C4—1462no—
2354C2×C4—1462no—
2355C2×C4—1462no—
2356C2×C4—1468no—
2357C2×C4—1464no—
2358C2×C4—1462no—
2359C2×C4—1462no—
2360C2×C4—1464no—
2361C2×C4C24×D7312yes—
2362C2×C4C24×D7314yes—
2363C2×C4C24×D7311yescharacteristic
2364C2×C4C24×D7311yescharacteristic
2365C2×C4C24×D7311yescharacteristic
2366C2×C4C24×D7311yescharacteristic
2367C2×C4C24×D7311yescharacteristic
2368C2×C4C24×D7312yes—
2369C2×C4C24×D7312yes—
2370C2×C4C24×D7314yes—
2371C2×C4C24×D7314yes—
2372C2×C4C24×D7311yescharacteristic
2373C22—21no—
2374C22—21no—
2375C22—24no—
2376C22—22no—
2377C22—24no—
2378C22—22no—
2379C22—22no—
2380C22—24no—
2381C22—2924no—
2382C22—5844no—
2383C22—5848no—
2384C22—5848no—
2385C22—5848no—
2386C22—732no—
2387C22—1464no—
2388C22—1462no—
2389C22—1464no—
2390C22—1461no—
2391C22—1461no—
2392C22—1464no—
2393C22—1462no—
2394C22—1464no—
2395C22—1461no—
2396C22—1464no—
2397C22—1462no—
2398C22—1464no—
2399C22—1461no—
2400C22—1461no—
2401C22H(5,𝔽2)×D7312yes—
2402C22C25×D7311yescharacteristic
2403C4—21no—
2404C4—24no—
2405C4—21no—
2406C4—24no—
2407C4—22no—
2408C4—24no—
2409C4—22no—
2410C4—21no—
2411C4—21no—
2412C4—22no—
2413C4—21no—
2414C4—732no—
2415C4—732no—
2416C4—1462no—
2417C4—1464no—
2418C4—1461no—
2419C4—1462no—
2420C4—1461no—
2421C4—1464no—
2422C4—1461no—
2423C4—1462no—
2424C4—1461no—
2425C4#1798942412yes—
2426C2—22no—
2427C2—44no—
2428C2—42no—
2429C2—2921no—
2430C2—2924no—
2431C2—2922no—
2432C2—2924no—
2433C2—1462no—
2434C2C2×H(5,𝔽2)×D7311yescharacteristic
2435C2#585×D7311yescharacteristic
2436C2C2×#1798942411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3559C2
hypercenter#3559D73
hypocenterC73#62748
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3559

Complements

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

NH ≅ G/Ntype
1. #22624514C2semidirect
2. #22624499C2semidirect
3. #22624479C2semidirect
4. #22624465C2semidirect
5. #22624454C2semidirect
6. #22624453C2semidirect
7. #22624447C2semidirect
8. #22624394C2semidirect
9. #22624371C2semidirect
10. #22624302C2semidirect
11. #22624260C2semidirect
12. #22624167C2semidirect
13. #22624154C2semidirect
14. #22624126C2semidirect
15. #22624110C2semidirect
16. #22624072C2semidirect
17. #22624068C2semidirect
18. #22623542C2semidirect
19. #22623538C2semidirect
20. #22623525C2semidirect
21. #22623418C2semidirect
22. #22623418C2semidirect
23. #22623354C2semidirect
24. #22623346C2semidirect
25. #22623339C2semidirect
26. #22623317C2semidirect
27. #22623259C2semidirect
28. #22623225C2semidirect
29. #532×D73C2semidirect
30. C2×#17989122C2semidirect
31. C73×#3559C2semidirect
32. C2×#41×D73C22semidirect
33. C2×#41×D73C22semidirect
34. #17989341C22semidirect
35. #17989338C22semidirect
36. #17989336C22semidirect
37. #17989335C22semidirect
38. #17989335C22semidirect
39. #17989334C22semidirect
40. #17989333C22semidirect
41. #17989333C22semidirect
42. #17989333C22semidirect
43. #17989331C22semidirect
44. #17989329C22semidirect
45. #17989329C22semidirect
46. #17989328C22semidirect
47. #17989328C22semidirect
48. #17989327C22semidirect
49. #17989327C22semidirect
50. #17989325C22semidirect
51. #17989325C22semidirect
52. #17989322C22semidirect
53. #17989321C22semidirect
54. #17989320C22semidirect
55. #17989320C22semidirect
56. #17989314C22semidirect
57. #17989305C22semidirect
58. #17989304C22semidirect
59. #17989298C22semidirect
60. #17989293C22semidirect
61. #17989292C22semidirect
62. #17989290C22semidirect
63. #17989290C22semidirect
64. #17989286C22semidirect
65. #17989285C22semidirect
66. #17989285C22semidirect
67. #17989282C22semidirect
68. #17989281C22semidirect
69. #17989280C22semidirect
70. #17989266C22semidirect
71. #17989264C22semidirect
72. #17989264C22semidirect
73. #17989262C22semidirect
74. #17989258C22semidirect
75. #17989258C22semidirect
76. #17989255C22semidirect
77. #17989252C22semidirect
78. #17989252C22semidirect
79. #17989247C22semidirect
80. #17989247C22semidirect
81. #17989247C22semidirect
82. #17989246C22semidirect
83. #17989243C22semidirect
84. #17989238C22semidirect
85. #17989238C22semidirect
86. #17989238C22semidirect
87. #17989238C22semidirect
88. #17989234C22semidirect
89. #17989233C22semidirect
90. #17989232C22semidirect
91. #17989232C22semidirect
92. #17989229C22semidirect
93. #17989229C22semidirect
94. #17989229C22semidirect
95. #17989229C22semidirect
96. #17989229C22semidirect
97. #17989229C22semidirect
98. #17989228C22semidirect
99. #17989226C22semidirect
100. #17989225C22semidirect
101. #17989225C22semidirect
102. #17989225C22semidirect
103. D4×D292C22semidirect
104. D4×D292C22semidirect
105. D4×D292C22semidirect
106. #17989221C22semidirect
107. #17989221C22semidirect
108. #17989221C22semidirect
109. #17989221C22semidirect
110. #17989221C22semidirect
111. #17989217C22semidirect
112. #17989212C22semidirect
113. #17989211C22semidirect
114. #17989211C22semidirect
115. #17989211C22semidirect
116. #17989208C22semidirect
117. #17989207C22semidirect
118. #17989205C22semidirect
119. #17989203C22semidirect
120. #17989202C22semidirect
121. #17989196C22semidirect
122. #17989193C22semidirect
123. #17989193C22semidirect
124. #17989193C22semidirect
125. #17989189C22semidirect
126. #17989188C22semidirect
127. #17989187C22semidirect
128. #17989185C22semidirect
129. #17989185C22semidirect
130. #17989184C22semidirect
131. #17989184C22semidirect
132. #17989183C22semidirect
133. #17989183C22semidirect
134. #17989181C22semidirect
135. #17989177C22semidirect
136. #17989177C22semidirect
137. #17989177C22semidirect
138. #17989176C22semidirect
139. #17989176C22semidirect
140. #17989174C22semidirect
141. #17989173C22semidirect
142. #17989173C22semidirect
143. #17989173C22semidirect
144. #17989170C22semidirect
145. #17989170C22semidirect
146. #17989170C22semidirect
147. #17989169C22semidirect
148. #17989168C22semidirect
149. #17989168C22semidirect
150. #17989166C22semidirect
151. #17989165C22semidirect
152. #17989160C22semidirect
153. #17989160C22semidirect
154. #17989156C22semidirect
155. #17989156C22semidirect
156. #17989153C22semidirect
157. #17989153C22semidirect
158. #17989153C22semidirect
159. #17989150C22semidirect
160. #17989148C22semidirect
161. #17989148C22semidirect
162. #17989145C22semidirect
163. #17989145C22semidirect
164. #17989145C22semidirect
165. #17989145C22semidirect
166. #17989143C22semidirect
167. #17989141C22semidirect
168. #17989139C22semidirect
169. #17989138C22semidirect
170. #17989138C22semidirect
171. #17989138C22semidirect
172. #17989137C22semidirect
173. #17989136C22semidirect
174. #17989136C22semidirect
175. #17989135C22semidirect
176. #17989134C22semidirect
177. #17989134C22semidirect
178. #17989134C22semidirect
179. #17989133C22semidirect
180. #17989132C22semidirect
181. #17989132C22semidirect
182. #17989132C22semidirect
183. #17989132C22semidirect
184. #17989132C22semidirect
185. #17989132C22semidirect
186. C4⋊Q8×D73C22semidirect
187. #127×D73C22semidirect
188. #17989123C22semidirect
189. #17989122C22semidirect
190. #17989122C22semidirect
191. #17989122C22semidirect
192. #17989122C22semidirect
193. #17989122C22semidirect
194. #17989122C22semidirect
195. #17989122C22semidirect
196. #17989122C22semidirect
197. #17989122C22semidirect
198. #17989122C22semidirect
199. #17989122C22semidirect
200. #17989121C22semidirect
201. #17989120C22semidirect
202. #17989120C22semidirect
203. #17989120C22semidirect
204. #17989120C22semidirect
205. #17989118C22semidirect
206. #17989116C22semidirect
207. #17989115C22semidirect
208. #17989114C22semidirect
209. #17989114C22semidirect
210. #17989114C22semidirect
211. C2×#14556586C22semidirect
212. C2×#14556579C22semidirect
213. #124×D73C22semidirect
214. #17989100C22semidirect
215. #17989100C22semidirect
216. #17989100C22semidirect
217. #17989100C22semidirect
218. #17989100C22semidirect
219. #17989100C22semidirect
220. #17989097C22semidirect
221. #17989097C22semidirect
222. #17989097C22semidirect
223. #17989096C22semidirect
224. #17989095C22semidirect
225. #17989095C22semidirect
226. #17989095C22semidirect
227. #17989095C22semidirect
228. #17989095C22semidirect
229. C2×#14556576C22semidirect
230. C2×#14556571C22semidirect
232. #121×D73C22semidirect
233. #121×D73C22semidirect
234. C4×#11924029C22semidirect
235. #17989055C22semidirect
236. #17989055C22semidirect
237. C4×#11924027C22semidirect
238. C4×#11924027C22semidirect
239. C4×#11924027C22semidirect
240. C4×#11924027C22semidirect
241. C2×#14556556C22semidirect
242. C2×#14556553C22semidirect
243. C2×#14556553C22semidirect
244. C2×#14556553C22semidirect
245. C2×#14556553C22semidirect
246. C4×D4×D73C22semidirect
247. C4×D4×D73C22semidirect
248. C4×D4×D73C22semidirect
249. C4×D4×D73C22semidirect
250. C2×#14556549C22semidirect
251. C2×C42×D73C22semidirect
252. #563×C73C22semidirect
253. #562×C73C22semidirect
254. #554×C73C22semidirect
255. #553×C73C22semidirect
256. #553×C73C22semidirect
257. #547×C73C22semidirect
258. #547×C73C22semidirect
259. #544×C73C22semidirect
260. #540×C73C22semidirect
261. #539×C73C22semidirect
262. #539×C73C22semidirect
263. #537×C73C22semidirect
264. #532×C73C22semidirect
265. #529×C73C22semidirect
266. C2×#125×C73C22semidirect
1223. #3559D73semidirect
1250. C73#62748semidirect
1256. #563C2×D73semidirect
1264. #562C2×D73semidirect
1283. #554C2×D73semidirect
1292. #553C2×D73semidirect
1293. #553C2×D73semidirect
1312. #547C2×D73semidirect
1313. #547C2×D73semidirect
1338. #544C2×D73semidirect
1355. #540C2×D73semidirect
1363. #539C2×D73semidirect
1364. #539C2×D73semidirect
1382. #537C2×D73semidirect
1417. #532C2×D73semidirect
1443. #529C2×D73semidirect
1445. C2×#125C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245142
#226244992
#226244792
#226244652
#226244542
#226244532
#226244472
#226243942
#226243712
#226243022
#226242602
#226241672
#226241542
#226241262
#226241102
#226240722
#226240682
#226235422
#226235382
#226235252
#226234182
#226233542
#226233462
#226233392
#226233172
#226232592
#226232252
#532×D732
C2×#179891222
C73×#35592
#6274873