Finite Group Databasebeta

← #33993652

Subgroups — #33993652

Order 18688.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2462 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624517C212yesmaximal, complemented
2#22624509C212yesmaximal, complemented
3#22624503C211yesmaximal, characteristic, complemented
4#22624501C211yesmaximal, characteristic, complemented
5#22624476C214yesmaximal, complemented
6#22624459C212yesmaximal, complemented
7#22624454C211yesmaximal, characteristic, complemented
8#22624444C212yesmaximal, complemented
9#22624399C212yesmaximal, complemented
10#22624362C212yesmaximal, complemented
11#22624292C212yesmaximal, complemented
12#22624256C212yesmaximal, complemented
13#22624168C212yesmaximal, complemented
14#22624152C212yesmaximal, complemented
15#22624113C214yesmaximal, complemented
16#22624071C212yesmaximal, complemented
17#22624068C212yesmaximal, complemented
18#22623536C214yesmaximal, complemented
19#22623527C212yesmaximal, complemented
20#22623420C212yesmaximal, complemented
21#22623415C212yesmaximal, complemented
22D4×#11924027C212yesmaximal, complemented
23#22623350C214yesmaximal, complemented
24#22623342C212yesmaximal, complemented
25#22623337C212yesmaximal, complemented
26#22623318C212yesmaximal, complemented
27#22623262C212yesmaximal, complemented
28#22623226C211yesmaximal, characteristic, complemented
29C2×#17989136C211yesmaximal, characteristic, complemented
30#529×D73C211yesmaximal, characteristic, complemented
31C73×#3558C211yesmaximal, characteristic, complemented
32C22×#11924029C2211yescharacteristic, complemented
33C22×#11924027C2212yescomplemented
34C22×#11924027C2211yescharacteristic, complemented
35C2×#41×D73C2212yescomplemented
36#17989341C2212yescomplemented
37#17989338C2214yescomplemented
38#17989337C2214yescomplemented
39#17989337C2212yescomplemented
40#17989334C2214yescomplemented
41#17989333C2214yescomplemented
42#17989331C2214yescomplemented
43#17989331C2212yescomplemented
44#17989331C2214yescomplemented
45#17989331C2212yescomplemented
46#17989331C2212yescomplemented
47#17989329C2212yescomplemented
48#17989327C2214yescomplemented
49#17989326C2214yescomplemented
50#17989326C2214yescomplemented
51#17989326C2214yescomplemented
52#17989325C2214yescomplemented
53#17989325C2214yescomplemented
54#17989320C2212yescomplemented
55#17989320C2212yescomplemented
56#17989319C2214yescomplemented
57#17989315C2212yescomplemented
58#17989310C2212yescomplemented
59#17989306C2212yescomplemented
60#17989306C2212yescomplemented
61#17989296C2214yescomplemented
62#17989295C2214yescomplemented
63#17989287C2214yescomplemented
64#17989284C2214yescomplemented
65#17989283C2214yescomplemented
66#17989282C2214yescomplemented
67#17989282C2214yescomplemented
68#17989280C2214yescomplemented
69#17989280C2214yescomplemented
70#17989263C2214yescomplemented
71#17989263C2214yescomplemented
72#17989260C2214yescomplemented
73#17989260C2214yescomplemented
74#17989257C2212yescomplemented
75#17989257C2212yescomplemented
76#17989256C2212yescomplemented
77#17989255C2212yescomplemented
78D4×Dic146C2212yescomplemented
79Q8×C22⋊D73C2212yescomplemented
80#17989250C2212yescomplemented
81#17989249C2212yescomplemented
82#17989246C2212yescomplemented
83#17989245C2212yescomplemented
84#17989245C2214yescomplemented
85#17989243C2212yescomplemented
86#17989243C2212yescomplemented
87#17989241C2212yescomplemented
88#17989239C2212yescomplemented
89#17989239C2214yescomplemented
90#17989237C2214yescomplemented
91#17989236C2212yescomplemented
92#17989235C2214yescomplemented
93#17989233C2212yescomplemented
94#17989233C2214yescomplemented
95#17989232C2212yescomplemented
96#17989231C2212yescomplemented
97#17989231C2212yescomplemented
98#17989230C2212yescomplemented
99#17989230C2214yescomplemented
100#17989227C2214yescomplemented
101#17989226C2214yescomplemented
102#17989225C2214yescomplemented
103#17989224C2214yescomplemented
104#17989224C2214yescomplemented
105#17989224C2214yescomplemented
106#17989224C2214yescomplemented
107#17989221C2212yescomplemented
108#17989221C2214yescomplemented
109D4×C22⋊D73C2212yescomplemented
110D4×C22⋊D73C2214yescomplemented
111D4×C22⋊D73C2214yescomplemented
112#17989219C2214yescomplemented
113#17989216C2214yescomplemented
114#17989213C2212yescomplemented
115#17989212C2212yescomplemented
116#17989211C2212yescomplemented
117#17989208C2212yescomplemented
118#17989206C2212yescomplemented
119#17989203C2214yescomplemented
120#17989203C2214yescomplemented
121#17989201C2214yescomplemented
122#17989201C2214yescomplemented
123#17989197C2212yescomplemented
124#17989195C2212yescomplemented
125#17989190C2212yescomplemented
126#17989189C2214yescomplemented
127#17989189C2214yescomplemented
128#17989188C2212yescomplemented
129#17989187C2214yescomplemented
130#17989187C2214yescomplemented
131#17989183C2214yescomplemented
132#17989182C2214yescomplemented
133#17989181C2214yescomplemented
134#17989181C2214yescomplemented
135#17989180C2214yescomplemented
136#17989179C2214yescomplemented
137#17989178C2214yescomplemented
138#17989178C2214yescomplemented
139#17989175C2212yescomplemented
140#17989175C2214yescomplemented
141#17989174C2212yescomplemented
142#17989174C2212yescomplemented
143#17989173C2214yescomplemented
144#17989172C2214yescomplemented
145#17989172C2214yescomplemented
146#17989171C2214yescomplemented
147#17989171C2214yescomplemented
148#17989170C2214yescomplemented
149#17989170C2214yescomplemented
150#17989169C2214yescomplemented
151#17989166C2214yescomplemented
152#17989166C2214yescomplemented
153#17989164C2214yescomplemented
154#17989163C2212yescomplemented
155#17989158C2212yescomplemented
156#17989157C2212yescomplemented
157#17989157C2212yescomplemented
158#17989154C2212yescomplemented
159#17989152C2214yescomplemented
160#17989152C2214yescomplemented
161#17989150C2212yescomplemented
162#17989150C2212yescomplemented
163#17989147C2214yescomplemented
164#17989147C2214yescomplemented
165#17989147C2214yescomplemented
166#17989146C2214yescomplemented
167#17989145C2212yescomplemented
168#17989144C2211yescharacteristic, complemented
169#17989142C2211yescharacteristic, complemented
170#17989142C2211yescharacteristic, complemented
171#17989136C2212yescomplemented
172#17989136C2212yescomplemented
173#17989136C2212yescomplemented
174#17989136C2212yescomplemented
175#17989136C2212yescomplemented
176#17989136C2212yescomplemented
177#17989136C2214yescomplemented
178#17989136C2212yescomplemented
179#17989136C2212yescomplemented
180#17989136C2212yescomplemented
181#17989135C2211yescharacteristic, complemented
182#17989135C2212yescomplemented
183#17989135C2211yescharacteristic, complemented
184#17989132C2214yescomplemented
185#17989132C2214yescomplemented
186C2×#14556589C2211yescharacteristic, complemented
187C2×#14556587C2211yescharacteristic, complemented
188#17989124C2211yescharacteristic, complemented
189#17989123C2214yescomplemented
190#17989123C2211yescharacteristic, complemented
191#17989122C2211yescharacteristic, complemented
192#17989121C2211yescharacteristic, complemented
193#17989120C2214yescomplemented
194#17989120C2212yescomplemented
195#17989119C2212yescomplemented
196#17989119C2211yescharacteristic, complemented
197#17989119C2212yescomplemented
198#17989118C2212yescomplemented
199#17989118C2211yescharacteristic, complemented
200#17989118C2212yescomplemented
201#17989117C2212yescomplemented
202#17989116C2214yescomplemented
203#17989116C2214yescomplemented
204#17989116C2212yescomplemented
205#17989116C2211yescharacteristic, complemented
206#17989116C2212yescomplemented
207#17989115C2212yescomplemented
208#17989114C2214yescomplemented
209#17989114C2214yescomplemented
210#17989114C2212yescomplemented
211#17989114C2214yescomplemented
212#126×D73C2212yescomplemented
213#125×D73C2211yescharacteristic, complemented
214C2×#14556579C2211yescharacteristic, complemented
215#124×D73C2211yescharacteristic, complemented
216#17989100C2214yescomplemented
217#17989100C2212yescomplemented
218#17989097C2214yescomplemented
219#17989097C2214yescomplemented
220#17989097C2214yescomplemented
221#17989097C2212yescomplemented
222#17989097C2212yescomplemented
223#17989097C2212yescomplemented
224#17989095C2214yescomplemented
225#17989094C2212yescomplemented
226#17989093C2214yescomplemented
227#17989093C2214yescomplemented
228#17989093C2214yescomplemented
229#17989093C2214yescomplemented
230#17989093C2214yescomplemented
231#123×D73C2212yescomplemented
232C22⋊Q8×D73C2211yescharacteristic, complemented
233C2×#14556564C2212yescomplemented
234C2×#14556564C2212yescomplemented
235#121×D73C2211yescharacteristic
236#41×Dic73C2212yescomplemented
237C4×#11924029C2212yescomplemented
238C4×#11924027C2214yescomplemented
239C4×#11924027C2212yescomplemented
240C4×#11924027C2212yescomplemented
241C4×#11924027C2212yescomplemented
242C4×Q8×D73C2211yescharacteristic, complemented
243C2×D4×Dic73C2214yescomplemented
244C2×#14556551C2212yescomplemented
245C2×#14556551C2214yescomplemented
246C2×#14556551C2212yescomplemented
247C4×D4×D73C2214yescomplemented
248C4×D4×D73C2212yescomplemented
249C4×D4×D73C2211yescharacteristic, complemented
250#117×D73C2212yescomplemented
251C2×C42×D73C2211yescharacteristic, complemented
252#562×C73C2212yescomplemented
253H(3,𝔽4)×C73C2212yescomplemented
254#559×C73C2212yescomplemented
255#548×C73C2212yescomplemented
256#546×C73C2214yescomplemented
257#546×C73C2212yescomplemented
258D42×C73C2212yescomplemented
259#542×C73C2212yescomplemented
260#538×C73C2212yescomplemented
261#538×C73C2214yescomplemented
262#535×C73C2212yescomplemented
263#534×C73C2212yescomplemented
264#532×C73C2211yescharacteristic, complemented
265#529×C73C2211yescharacteristic, complemented
266C2×#124×C73C2211yescharacteristic, complemented
267C2×#11924029—44no—
268C2×#11924029C2312yes—
269C2×#11924029C2312yes—
270C2×#11924029C2312yes—
271C2×#11924029C2312yes—
272C2×#11924028C2312yes—
273C2×#11924028C2314yes—
274C2×#11924027—48no—
275C2×#11924027—44no—
276C2×#11924027C2312yes—
277C2×#11924027C2312yes—
278C2×#11924027C2312yes—
279C2×#11924027C2314yes—
280C2×#11924027C2314yes—
281C2×#11924027C2312yes—
282C2×#11924027C2312yes—
283C2×#11924027C2312yes—
284C2×#11924027C2312yes—
285C2×#11924027C2312yes—
286C2×#11924027C2314yes—
287C2×#11924027C2314yes—
288#41×D73—48no—
289C22×Dic146C2311yescharacteristic
290C22×Dic146C2312yes—
291C2×Q8×D73C2312yes—
292C2×Q8×D73C2311yescharacteristic
293C22×D292C2311yescharacteristic
294C22×D292C2312yes—
295C22×C22⋊D73C2312yes—
296C22×C22⋊D73C2312yes—
297C22×C22⋊D73C2314yes—
298C22×C22⋊D73C2314yes—
299C22×C22⋊D73C2312yes—
300C2×D4×D73C2314yes—
301C2×D4×D73C2314yes—
302C2×D4×D73C2312yes—
303C2×D4×D73C2311yescharacteristic
304C2×D4×D73C2312yes—
305C23×Dic73C2312yes—
306C23×Dic73C2314yes—
307C22×C4×D73C2312yes—
308C22×C4×D73C2311yescharacteristic
309C22×C4×D73C2314yes—
310C22×C4×D73C2312yes—
311C22×C4×D73C2311yescharacteristic
312C22×C4×D73C2311yescharacteristic
313#14556591C2311yescharacteristic
314#14556591C2311yescharacteristic
315#14556591C2312yes—
316#14556590C2314yes—
317#14556590C2314yes—
318#14556589C2312yes—
319#14556589C2312yes—
320#14556589C2312yes—
321#14556589C2312yes—
322#14556589C2312yes—
323#14556589C2314yes—
324#14556587C2312yes—
325#14556587C2312yes—
326#14556587C2312yes—
327#14556587C2312yes—
328#14556587C2314yes—
329#14556587C2314yes—
330#14556587C2312yes—
331#14556587C2314yes—
332#14556586C2312yes—
333#14556586C2312yes—
334#14556586C2314yes—
335#14556586C2314yes—
336#14556586C2312yes—
337#14556586C2314yes—
338#14556586C2314yes—
339#14556586C2314yes—
340#14556585C2312yes—
341#14556585C2314yes—
342#14556584C2314yes—
343#14556584C2314yes—
344#14556584C2314yes—
345#14556584C2312yes—
346#14556584C2314yes—
347#14556584C2314yes—
348#14556584C2314yes—
349#14556584C2314yes—
350#14556584C2314yes—
351#14556584C2312yes—
352#14556584C2314yes—
353#14556584C2312yes—
354#14556583C2311yescharacteristic
355#14556583C2312yes—
356#14556583C2314yes—
357#14556583C2314yes—
358#14556582C2314yes—
359#14556582C2311yescharacteristic
360#14556582C2311yescharacteristic
361#14556582C2312yes—
362#14556582C2312yes—
363#14556581C2314yes—
364#14556581C2312yes—
365#14556581C2314yes—
366#14556581C2314yes—
367#14556581C2314yes—
368#14556581C2312yes—
369#14556580C2311yescharacteristic
370#14556580C2314yes—
371#14556579C2311yescharacteristic
372#14556579C2312yes—
373#14556579C2312yes—
374#14556579C2312yes—
375#14556579C2312yes—
376#14556579C2312yes—
377#14556579C2314yes—
378#14556578C2312yes—
379#14556578C2312yes—
380#14556578C2312yes—
381#14556578C2312yes—
382#14556578C2311yescharacteristic
383#14556577C2312yes—
384#14556577C2314yes—
385#14556577C2314yes—
386#14556577C2314yes—
387#14556577C2314yes—
388#14556577C2314yes—
389#14556577C2314yes—
390#14556577C2314yes—
391#14556577C2314yes—
392#14556577C2312yes—
393#14556576C2312yes—
394#14556576C2314yes—
395#14556576C2312yes—
396#14556576C2314yes—
397#14556576C2314yes—
398#14556576C2314yes—
399#14556575C2312yes—
400#14556575C2314yes—
401#14556575C2314yes—
402#14556575C2314yes—
403#14556575C2314yes—
404#14556575C2314yes—
405#14556575C2314yes—
406#14556575C2314yes—
407#14556574C2312yes—
408#14556574C2314yes—
409#14556574C2314yes—
410#14556574C2314yes—
411#14556574C2314yes—
412#14556573C2314yes—
413#14556573C2312yes—
414#14556573C2314yes—
415#14556573C2314yes—
416#14556573C2314yes—
417#14556573C2314yes—
418#14556573C2314yes—
419#14556573C2314yes—
420#14556573C2314yes—
421#14556573C2314yes—
422#14556573C2314yes—
423#14556573C2314yes—
424#14556573C2314yes—
425#14556573C2314yes—
426#14556573C2312yes—
427#14556573C2314yes—
428#14556572C2312yes—
429#14556572C2314yes—
430#14556572C2314yes—
431#14556572C2314yes—
432#14556572C2314yes—
433#14556572C2314yes—
434#14556572C2314yes—
435#14556571C2311yescharacteristic
436#14556571C2312yes—
437#14556571C2312yes—
438#14556571C2314yes—
439#14556571C2314yes—
440#14556571C2314yes—
441#14556571C2312yes—
442#14556570C2311yescharacteristic
443#14556570C2312yes—
444#14556570C2312yes—
445#14556570C2314yes—
446#14556570C2314yes—
447#14556570C2314yes—
448#14556570C2312yes—
449#14556569C2312yes—
450#14556569C2314yes—
451#14556569C2314yes—
452#14556569C2314yes—
453#14556568C2314yes—
454#14556568C2314yes—
455#14556568C2314yes—
456#14556568C2314yes—
457#14556568C2314yes—
458#14556568C2314yes—
459#14556568C2314yes—
460#14556568C2314yes—
461#14556568C2314yes—
462#14556568C2314yes—
463#14556568C2314yes—
464#14556568C2314yes—
465#14556568C2314yes—
466#14556568C2312yes—
467#14556567C2311yescharacteristic
468#14556567C2312yes—
469#14556567C2312yes—
470#14556567C2314yes—
471#14556567C2314yes—
472#14556567C2312yes—
473#14556567C2314yes—
474#14556566C2311yescharacteristic
475#14556566C2312yes—
476#14556566C2314yes—
477#14556565C2311yescharacteristic
478#14556565C2314yes—
479#14556565C2314yes—
480#14556565C2314yes—
481#14556565C2314yes—
482#14556565C2312yes—
483#14556564C2314yes—
484#14556564C2312yes—
485#14556564C2314yes—
486#14556564C2314yes—
487#14556564C2314yes—
488#14556564C2314yes—
489#14556564C2314yes—
490#14556564C2314yes—
491#14556564C2314yes—
492#14556564C2314yes—
493#14556564C2314yes—
494#14556564C2314yes—
495#14556564C2314yes—
496#14556564C2314yes—
497#14556564C2314yes—
498#14556564C2314yes—
499#14556564C2314yes—
500#14556564C2314yes—
501#14556563C2314yes—
502#14556563C2314yes—
503#14556563C2314yes—
504#14556563C2314yes—
505#14556563C2314yes—
506#14556563C2314yes—
507#14556563C2314yes—
508#14556563C2314yes—
509#14556563C2314yes—
510#14556563C2314yes—
511#14556563C2314yes—
512#14556563C2314yes—
513#14556563C2314yes—
514#14556563C2314yes—
515#14556563C2314yes—
516#14556563C2314yes—
517#14556563C2314yes—
518#14556563C2312yes—
519#14556562C2312yes—
520#14556562C2312yes—
521#14556562C2314yes—
522#14556562C2314yes—
523#14556562C2312yes—
524#14556562C2312yes—
525#14556562C2314yes—
526#14556562C2314yes—
527#14556562C2314yes—
528#14556562C2314yes—
529#14556562C2314yes—
530#14556562C2312yes—
531#14556562C2311yescharacteristic
532#14556561C2314yes—
533#14556561C2314yes—
534#14556561C2314yes—
535#14556561C2314yes—
536#14556560C2314yes—
537#14556560C2314yes—
538#14556560C2314yes—
539#14556560C2314yes—
540#14556560C2314yes—
541#14556559C2314yes—
542#14556559C2314yes—
543#14556559C2314yes—
544#14556559C2314yes—
545#14556559C2314yes—
546#14556559C2314yes—
547#14556559C2314yes—
548#14556559C2314yes—
549#14556559C2314yes—
550Q8×Dic73C2312yes—
551Q8×Dic73C2311yescharacteristic
552Q8×Dic73C2312yes—
553Q8×Dic73C2312yes—
554C4×Dic146C2311yescharacteristic
555C4×Dic146C2312yes—
556C4×Dic146C2312yes—
557C4×Dic146C2312yes—
558C4×Dic146C2314yes—
559C4×Dic146C2312yes—
560#14556556C2312yes—
561#14556556C2312yes—
562#14556556C2311yescharacteristic
563#14556556C2312yes—
564#14556556C2312yes—
565C4×D292C2311yescharacteristic
566C4×D292C2312yes—
567C4×D292C2314yes—
568C4×D292C2314yes—
569C4×D292C2312yes—
570D4×Dic73C2314yes—
571D4×Dic73C2314yes—
572D4×Dic73C2312yes—
573D4×Dic73C2312yes—
574D4×Dic73C2314yes—
575D4×Dic73C2312yes—
576D4×Dic73C2312yes—
577D4×Dic73C2314yes—
578D4×Dic73C2314yes—
579D4×Dic73C2314yes—
580D4×Dic73C2314yes—
581D4×Dic73C2312yes—
582D4×Dic73C2314yes—
583D4×Dic73C2312yes—
584D4×Dic73C2314yes—
585D4×Dic73C2311yescharacteristic
586#14556553C2312yes—
587#14556553C2314yes—
588#14556553C2311yescharacteristic
589#14556553C2314yes—
590#14556553C2312yes—
591C4×C22⋊D73C2312yes—
592C4×C22⋊D73C2314yes—
593C4×C22⋊D73C2314yes—
594C4×C22⋊D73C2314yes—
595C4×C22⋊D73C2314yes—
596C4×C22⋊D73C2314yes—
597C4×C22⋊D73C2314yes—
598C4×C22⋊D73C2312yes—
599C4×C22⋊D73C2314yes—
600C4×C22⋊D73C2312yes—
601#14556551C2314yes—
602#14556551C2312yes—
603#14556551C2312yes—
604#14556551C2314yes—
605#14556551C2314yes—
606#14556551C2312yes—
607#14556551C2314yes—
608#14556551C2314yes—
609#14556551C2314yes—
610#14556551C2314yes—
611#14556551C2314yes—
612#14556551C2314yes—
613#14556551C2314yes—
614#14556551C2314yes—
615#14556551C2314yes—
616#14556551C2314yes—
617#14556551C2314yes—
618#14556551C2314yes—
619#14556551C2314yes—
620#14556551C2314yes—
621#14556551C2314yes—
622#14556551C2314yes—
623#14556550C2312yes—
624#14556550C2312yes—
625#14556550C2314yes—
626#14556549C2312yes—
627#14556549C2312yes—
628#14556549C2314yes—
629#14556549C2312yes—
630#14556549C2312yes—
631#14556549C2314yes—
632#14556548C2312yes—
633#14556548C2312yes—
634#14556547C2312yes—
635#14556547C2314yes—
636#14556547C2314yes—
637#14556547C2314yes—
638#14556547C2314yes—
639#14556547C2312yes—
640#14556547C2314yes—
641C2×C4⋊Dic73C2314yes—
642C2×#11924007C2312yes—
643C2×#11924007C2312yes—
644C2×#11924007C2314yes—
645C4⋊C4×D73C2312yes—
646C4⋊C4×D73C2312yes—
647C4⋊C4×D73C2314yes—
648C4⋊C4×D73C2311yescharacteristic
649C4⋊C4×D73C2312yes—
650C4⋊C4×D73C2311yescharacteristic
651C4⋊C4×D73C2312yes—
652C2×C22⋊Dic73C2314yes—
653C2×C22⋊Dic73C2314yes—
654C2×#11924005C2312yes—
655C2×#11924005C2314yes—
656C2×#11924005C2312yes—
657C22⋊C4×D73C2312yes—
658C22⋊C4×D73C2312yes—
659C22⋊C4×D73C2314yes—
660C22⋊C4×D73C2314yes—
661C22⋊C4×D73C2312yes—
662C22⋊C4×D73C2312yes—
663C22⋊C4×D73C2312yes—
664C2×C4×Dic73C2314yes—
665C2×C4×Dic73C2311yescharacteristic
666C2×C4×Dic73C2311yescharacteristic
667C2×C4×Dic73C2314yes—
668C2×C4×Dic73C2311yescharacteristic
669C42×D73C2311yescharacteristic
670C42×D73C2314yes—
671C42×D73C2311yescharacteristic
672C42×D73C2311yescharacteristic
673C42×D73C2311yescharacteristic
674C42×D73C2311yescharacteristic
675C42×D73C2312yes—
676C42×D73C2311yescharacteristic
677C42×D73C2311yescharacteristic
678C42×D73C2311yescharacteristic
679C2×#41×C73C2312yes—
680C2×#41×C73C2312yes—
681C22×Q8×C73C2311yescharacteristic
682C22×D4×C73C2311yescharacteristic
683C22×D4×C73C2314yes—
684C22×D4×C73C2312yes—
685C4⋊Q8×C73C2311yescharacteristic
686#127×C73C2311yescharacteristic
687#127×C73C2312yes—
688#126×C73C2314yes—
689#126×C73C2312yes—
690#125×C73C2311yescharacteristic
691#124×C73C2312yes—
692#124×C73C2312yes—
693#124×C73C2312yes—
694#124×C73C2312yes—
695#124×C73C2312yes—
696#124×C73C2314yes—
697#124×C73C2314yes—
698#124×C73C2314yes—
699#124×C73C2311yescharacteristic
700#124×C73C2312yes—
701#123×C73C2314yes—
702#123×C73C2314yes—
703#123×C73C2314yes—
704#123×C73C2314yes—
705#123×C73C2312yes—
706C22⋊Q8×C73C2314yes—
707C22⋊Q8×C73C2311yescharacteristic
708C22⋊Q8×C73C2312yes—
709C22⋊Q8×C73C2314yes—
710#121×C73C2314yes—
711#121×C73C2314yes—
712#121×C73C2312yes—
713#121×C73C2314yes—
714#121×C73C2314yes—
715#121×C73C2311yescharacteristic
716#121×C73C2314yes—
717#121×C73C2312yes—
718#121×C73C2312yes—
719#120×C73C2314yes—
720#120×C73C2314yes—
721#120×C73C2314yes—
722#120×C73C2314yes—
723#120×C73C2314yes—
724C4×Q8×C73C2311yescharacteristic
725C4×Q8×C73C2312yes—
726C4×D4×C73C2312yes—
727C4×D4×C73C2314yes—
728C4×D4×C73C2314yes—
729C4×D4×C73C2312yes—
730C4×D4×C73C2312yes—
731C4×D4×C73C2312yes—
732C4×D4×C73C2311yescharacteristic
733#117×C73C2312yes—
734C2×C22⋊C4×C73C2312yes—
735C2×C22⋊C4×C73C2314yes—
736C2×C22⋊C4×C73C2312yes—
737C2×C42×C73C2311yescharacteristic
738C23×D73C2411yescharacteristic
739C23×D73C2412yes—
740C23×D73C2412yes—
741C23×D73C2414yes—
742#11924029—28no—
743#11924029—44no—
744#11924029—44no—
745#11924029—44no—
746#11924028—44no—
747#11924028—48no—
748#11924027—28no—
749#11924027—28no—
750#11924027—44no—
751#11924027—44no—
752#11924027—44no—
753#11924027—48no—
754#11924027—48no—
755#11924027—48no—
756#11924027—44no—
757#11924027—44no—
758#11924027—48no—
759#11924027—44no—
760C2×Dic146—44no—
761C2×Dic146—42no—
762C2×Dic146C2412yes—
763C2×Dic146C2412yes—
764C2×Dic146C2412yes—
765C2×Dic146C2411yescharacteristic
766C2×Dic146C2412yes—
767C2×Dic146C2414yes—
768C2×Dic146C2412yes—
769C2×Dic146C2414yes—
770Q8×D73—42no—
771Q8×D73—44no—
772C2×D292—42no—
773C2×D292—44no—
774C2×D292C2414yes—
775C2×D292C2412yes—
776C2×D292C2411yescharacteristic
777C2×D292C2414yes—
778C2×D292C2412yes—
779C2×D292C2412yes—
780C2×D292C2414yes—
781C2×C22⋊D73—44no—
782C2×C22⋊D73—48no—
783C2×C22⋊D73—44no—
784C2×C22⋊D73—48no—
785C2×C22⋊D73—44no—
786C2×C22⋊D73C2412yes—
787C2×C22⋊D73C2414yes—
788C2×C22⋊D73C2412yes—
789C2×C22⋊D73C2414yes—
790C2×C22⋊D73C2414yes—
791C2×C22⋊D73C2414yes—
792C2×C22⋊D73C2414yes—
793C2×C22⋊D73C2414yes—
794C2×C22⋊D73C2414yes—
795C2×C22⋊D73C2414yes—
796C2×C22⋊D73C2414yes—
797C2×C22⋊D73C2414yes—
798C2×C22⋊D73C2414yes—
799C2×C22⋊D73C2412yes—
800C2×C22⋊D73C2414yes—
801C2×C22⋊D73C2414yes—
802C2×C22⋊D73C2414yes—
803C2×C22⋊D73C2414yes—
804C2×C22⋊D73C2414yes—
805D4×D73—44no—
806D4×D73—42no—
807D4×D73—48no—
808D4×D73—44no—
809D4×D73—48no—
810C22×Dic73—44no—
811C22×Dic73—48no—
812C22×Dic73C2411yescharacteristic
813C22×Dic73C2411yescharacteristic
814C22×Dic73C2411yescharacteristic
815C22×Dic73C2414yes—
816C22×Dic73C2414yes—
817C22×Dic73C2414yes—
818C22×Dic73C2412yes—
819C22×Dic73C2414yes—
820C22×Dic73C2412yes—
821C22×Dic73C2414yes—
822C22×Dic73C2414yes—
823C22×Dic73C2414yes—
824C22×Dic73C2414yes—
825C2×C4×D73—28no—
826C2×C4×D73—24no—
827C2×C4×D73—42no—
828C2×C4×D73—48no—
829C2×C4×D73—44no—
830C2×C4×D73—42no—
831C2×C4×D73C2411yescharacteristic
832C2×C4×D73C2411yescharacteristic
833C2×C4×D73C2411yescharacteristic
834C2×C4×D73C2411yescharacteristic
835C2×C4×D73C2411yescharacteristic
836C2×C4×D73C2414yes—
837C2×C4×D73C2412yes—
838C2×C4×D73C2412yes—
839C2×C4×D73C2412yes—
840C2×C4×D73C2411yescharacteristic
841C2×C4×D73C2411yescharacteristic
842C2×C4×D73C2411yescharacteristic
843C2×C4×D73C2411yescharacteristic
844C2×C4×D73C2411yescharacteristic
845C2×C4×D73C2411yescharacteristic
846C2×C4×D73C2412yes—
847C2×C4×D73C2414yes—
848C2×C4×D73C2412yes—
849C2×C4×D73C2414yes—
850C2×C4×D73C2414yes—
851C2×C4×D73C2414yes—
852C2×C4×D73C2414yes—
853C2×C4×D73C2411yescharacteristic
854C4⋊Dic73C2412yes—
855C4⋊Dic73C2414yes—
856C4⋊Dic73C2412yes—
857C4⋊Dic73C2412yes—
858C4⋊Dic73C2411yescharacteristic
859C4⋊Dic73C2412yes—
860C4⋊Dic73C2411yescharacteristic
861C4⋊Dic73C2414yes—
862C4⋊Dic73C2414yes—
863C4⋊Dic73C2412yes—
864C4⋊Dic73C2414yes—
865C4⋊Dic73C2412yes—
866C4⋊Dic73C2414yes—
867C4⋊Dic73C2414yes—
868C4⋊Dic73C2412yes—
869C4⋊Dic73C2412yes—
870#11924007C2412yes—
871#11924007C2412yes—
872#11924007C2412yes—
873#11924007C2412yes—
874#11924007C2412yes—
875#11924007C2412yes—
876#11924007C2412yes—
877#11924007C2412yes—
878#11924007C2412yes—
879#11924007C2414yes—
880#11924007C2412yes—
881#11924007C2414yes—
882#11924007C2414yes—
883#11924007C2414yes—
884#11924007C2414yes—
885#11924007C2414yes—
886#11924007C2414yes—
887#11924007C2414yes—
888#11924007C2414yes—
889#11924007C2414yes—
890#11924007C2414yes—
891#11924007C2414yes—
892#11924007C2414yes—
893#11924007C2414yes—
894C22⋊Dic73C2412yes—
895C22⋊Dic73C2412yes—
896C22⋊Dic73C2414yes—
897C22⋊Dic73C2414yes—
898C22⋊Dic73C2412yes—
899C22⋊Dic73C2412yes—
900C22⋊Dic73C2412yes—
901C22⋊Dic73C2414yes—
902C22⋊Dic73C2414yes—
903C22⋊Dic73C2414yes—
904C22⋊Dic73C2414yes—
905C22⋊Dic73C2414yes—
906C22⋊Dic73C2414yes—
907C22⋊Dic73C2414yes—
908C22⋊Dic73C2414yes—
909C22⋊Dic73C2414yes—
910C22⋊Dic73C2414yes—
911#11924005C2412yes—
912#11924005C2412yes—
913#11924005C2412yes—
914#11924005C2412yes—
915#11924005C2412yes—
916#11924005C2412yes—
917#11924005C2414yes—
918#11924005C2412yes—
919#11924005C2412yes—
920#11924005C2414yes—
921#11924005C2412yes—
922#11924005C2414yes—
923#11924005C2412yes—
924#11924005C2414yes—
925#11924005C2414yes—
926#11924005C2414yes—
927#11924005C2414yes—
928#11924005C2414yes—
929#11924005C2414yes—
930#11924005C2414yes—
931#11924005C2414yes—
932#11924005C2414yes—
933#11924005C2414yes—
934#11924005C2414yes—
935C4×Dic73C2412yes—
936C4×Dic73C2411yescharacteristic
937C4×Dic73C2411yescharacteristic
938C4×Dic73C2411yescharacteristic
939C4×Dic73C2411yescharacteristic
940C4×Dic73C2411yescharacteristic
941C4×Dic73C2411yescharacteristic
942C4×Dic73C2411yescharacteristic
943C4×Dic73C2411yescharacteristic
944C4×Dic73C2411yescharacteristic
945C4×Dic73C2411yescharacteristic
946C4×Dic73C2411yescharacteristic
947C4×Dic73C2411yescharacteristic
948C4×Dic73C2414yes—
949C4×Dic73C2412yes—
950C4×Dic73C2414yes—
951C4×Dic73C2412yes—
952C4×Dic73C2414yes—
953C4×Dic73C2414yes—
954C4×Dic73C2414yes—
955C4×Dic73C2414yes—
956C24×C73C2412yes—
957C24×C73C2414yes—
958#41×C73—44no—
959#41×C73—44no—
960C2×Q8×C73—42no—
961C2×Q8×C73C2412yes—
962C2×Q8×C73C2411yescharacteristic
963C2×Q8×C73C2412yes—
964C2×Q8×C73C2412yes—
965C2×D4×C73—42no—
966C2×D4×C73—44no—
967C2×D4×C73—48no—
968C2×D4×C73C2414yes—
969C2×D4×C73C2412yes—
970C2×D4×C73C2412yes—
971C2×D4×C73C2412yes—
972C2×D4×C73C2411yescharacteristic
973C2×D4×C73C2414yes—
974C2×D4×C73C2412yes—
975C2×D4×C73C2414yes—
976C2×D4×C73C2414yes—
977C2×D4×C73C2412yes—
978C2×D4×C73C2412yes—
979C2×D4×C73C2414yes—
980C2×D4×C73C2414yes—
981C22×C4×C73C2411yescharacteristic
982C22×C4×C73C2411yescharacteristic
983C22×C4×C73C2412yes—
984C22×C4×C73C2411yescharacteristic
985C22×C4×C73C2412yes—
986C22×C4×C73C2414yes—
987C22×C4×C73C2414yes—
988C22×C4×C73C2414yes—
989C4⋊C4×C73C2412yes—
990C4⋊C4×C73C2412yes—
991C4⋊C4×C73C2412yes—
992C4⋊C4×C73C2412yes—
993C4⋊C4×C73C2412yes—
994C4⋊C4×C73C2414yes—
995C4⋊C4×C73C2412yes—
996C4⋊C4×C73C2411yescharacteristic
997C4⋊C4×C73C2414yes—
998C4⋊C4×C73C2411yescharacteristic
999C22⋊C4×C73C2412yes—
1000C22⋊C4×C73C2414yes—
1001C22⋊C4×C73C2414yes—
1002C22⋊C4×C73C2414yes—
1003C22⋊C4×C73C2414yes—
1004C22⋊C4×C73C2414yes—
1005C22⋊C4×C73C2414yes—
1006C22⋊C4×C73C2412yes—
1007C22⋊C4×C73C2412yes—
1008C22⋊C4×C73C2412yes—
1009C22⋊C4×C73C2414yes—
1010C22⋊C4×C73C2412yes—
1011C22⋊C4×C73C2414yes—
1012C22⋊C4×C73C2414yes—
1013C22⋊C4×C73C2414yes—
1014C22⋊C4×C73C2414yes—
1015C42×C73C2411yescharacteristic
1016C42×C73C2411yescharacteristic
1017C42×C73C2411yescharacteristic
1018C42×C73C2411yescharacteristic
1019C42×C73C2412yes—
1020C42×C73C2414yes—
1021C23×C73—24no—
1022C23×C73—44no—
1023C23×C73—42no—
1024C23×C73—44no—
1025C23×C73—42no—
1026C23×C73—44no—
1027C23×C73C2512yes—
1028C23×C73C2514yes—
1029C23×C73C2514yes—
1030C23×C73C2511yescharacteristic
1031C22×D73—22no—
1032C22×D73—24no—
1033C22×D73—22no—
1034C22×D73—24no—
1035C22×D73—41no—
1036C22×D73—44no—
1037C22×D73—42no—
1038C22×D73—42no—
1039C22×D73—42no—
1040C22×D73—44no—
1041C22×D73—42no—
1042C22×D73—44no—
1043C22×D73C2512yes—
1044C22×D73C2514yes—
1045C22×D73C2511yescharacteristic
1046C22×D73C2511yescharacteristic
1047Q8×C73—24no—
1048Q8×C73—42no—
1049Q8×C73—42no—
1050Q8×C73—41no—
1051D4×C73—24no—
1052D4×C73—28no—
1053D4×C73—24no—
1054D4×C73—24no—
1055D4×C73—44no—
1056D4×C73—44no—
1057D4×C73—44no—
1058D4×C73—42no—
1059D4×C73—42no—
1060D4×C73—44no—
1061D4×C73—41no—
1062D4×C73—44no—
1063D4×C73—42no—
1064C2×C4×C73—22no—
1065C2×C4×C73—22no—
1066C2×C4×C73—24no—
1067C2×C4×C73—44no—
1068C2×C4×C73—42no—
1069C2×C4×C73—44no—
1070C2×C4×C73—44no—
1071C2×C4×C73—41no—
1072C2×C4×C73C2512yes—
1073C2×C4×C73C2511yescharacteristic
1074C2×C4×C73C2511yescharacteristic
1075C2×C4×C73C2511yescharacteristic
1076C2×C4×C73C2511yescharacteristic
1077C2×C4×C73C2511yescharacteristic
1078C2×C4×C73C2514yes—
1079C2×C4×C73C2514yes—
1080C2×C4×C73C2512yes—
1081C2×C4×C73C2512yes—
1082C2×C4×C73C2511yescharacteristic
1083C22⋊D73—24no—
1084C22⋊D73—28no—
1085C22⋊D73—28no—
1086C22⋊D73—24no—
1087C22⋊D73—28no—
1088C22⋊D73—42no—
1089C22⋊D73—44no—
1090C22⋊D73—44no—
1091C22⋊D73—44no—
1092C22⋊D73—44no—
1093C22⋊D73—44no—
1094C22⋊D73—44no—
1095C22⋊D73—44no—
1096C22⋊D73—44no—
1097C22⋊D73—44no—
1098C22⋊D73—44no—
1099C22⋊D73—44no—
1100C22⋊D73—44no—
1101C22⋊D73—44no—
1102C2×Dic73—22no—
1103C2×Dic73—22no—
1104C2×Dic73—24no—
1105C2×Dic73—28no—
1106C2×Dic73—28no—
1107C2×Dic73—22no—
1108C2×Dic73—28no—
1109C2×Dic73—44no—
1110C2×Dic73—42no—
1111C2×Dic73—44no—
1112C2×Dic73—44no—
1113C2×Dic73—44no—
1114C2×Dic73—44no—
1115C2×Dic73C2512yes—
1116C2×Dic73C2514yes—
1117C2×Dic73C2511yescharacteristic
1118C2×Dic73C2511yescharacteristic
1119C2×Dic73C2511yescharacteristic
1120C2×Dic73C2511yescharacteristic
1121C2×Dic73C2512yes—
1122C2×Dic73C2514yes—
1123C2×Dic73C2514yes—
1124C2×Dic73C2512yes—
1125C2×Dic73C2511yescharacteristic
1126C2×Dic73C2511yescharacteristic
1127D292—28no—
1128D292—24no—
1129D292—41no—
1130D292—42no—
1131D292—44no—
1132D292—42no—
1133D292—44no—
1134C4×D73—24no—
1135C4×D73—22no—
1136C4×D73—24no—
1137C4×D73—22no—
1138C4×D73—24no—
1139C4×D73—22no—
1140C4×D73—28no—
1141C4×D73—22no—
1142C4×D73—22no—
1143C4×D73—41no—
1144C4×D73—41no—
1145C4×D73—41no—
1146C4×D73—41no—
1147C4×D73—41no—
1148C4×D73—41no—
1149C4×D73—44no—
1150C4×D73—44no—
1151C4×D73—44no—
1152C4×D73—42no—
1153C4×D73—44no—
1154C4×D73—42no—
1155C4×D73—44no—
1156C4×D73H(5,𝔽2)14yes—
1157Dic146—24no—
1158Dic146—24no—
1159Dic146—24no—
1160Dic146—41no—
1161Dic146—44no—
1162Dic146—44no—
1163Dic146—42no—
1164Dic146—42no—
1165C22×C73—21no—
1166C22×C73—21no—
1167C22×C73—24no—
1168C22×C73—22no—
1169C22×C73—24no—
1170C22×C73—24no—
1171C22×C73—24no—
1172C22×C73—22no—
1173C22×C73—24no—
1174C22×C73—24no—
1175C22×C73—22no—
1176C22×C73—84no—
1177C22×C73—88no—
1178C22×C73#58512yes—
1179C22×C73C2611yescharacteristic
1180C2×D73—21no—
1181C2×D73—21no—
1182C2×D73—22no—
1183C2×D73—21no—
1184C2×D73—24no—
1185C2×D73—21no—
1186C2×D73—21no—
1187C2×D73—24no—
1188C2×D73—24no—
1189C2×D73—22no—
1190C2×D73—22no—
1191C2×D73—44no—
1192C2×D73—84no—
1193C2×D73—84no—
1194C2×D73—88no—
1195C2×D73C2×H(5,𝔽2)12yes—
1196C4×C73—22no—
1197C4×C73—21no—
1198C4×C73—24no—
1199C4×C73—22no—
1200C4×C73—21no—
1201C4×C73—21no—
1202C4×C73—21no—
1203C4×C73—21no—
1204C4×C73—22no—
1205C4×C73—24no—
1206C4×C73C2×H(5,𝔽2)12yes—
1207Dic73—24no—
1208Dic73—24no—
1209Dic73—22no—
1210Dic73—21no—
1211Dic73—22no—
1212Dic73—24no—
1213Dic73—22no—
1214Dic73—21no—
1215Dic73—21no—
1216Dic73—21no—
1217Dic73C2×H(5,𝔽2)12yes—
1218Dic73#58512yes—
1219#62748—731nomaximal, Sylow
1220C2×C73—22no—
1221C2×C73—44no—
1222C2×C73—42no—
1223C2×C73—44no—
1224C2×C73C22×H(5,𝔽2)11yescharacteristic
1225C2×C73C2×#58511yescharacteristic
1226C2×C73C2×#58511yescharacteristic
1227D73—22no—
1228D73—41no—
1229D73—44no—
1230D73—42no—
1231#3562—732no—
1232#3562—732no—
1233#3561—731no—
1234#3561—731no—
1235#3560—734no—
1236#3559—732no—
1237#3558—732no—
1238#3558—731no—
1239#3558D7311yescharacteristic, complemented
1240#3554—732no—
1241#3552—732no—
1242#3546—732no—
1243#3543—732no—
1244#3537—732no—
1245#3536—732no—
1246#3534—734no—
1247#3529—732no—
1248#3529—732no—
1249#3481—734no—
1250#3480—732no—
1251D4×#41—732no—
1252D4×#41—732no—
1253D4×#41—732no—
1254#3460—734no—
1255#3459—732no—
1256#3459—732no—
1257#3455—732no—
1258#3449—732no—
1259#3444—731no—
1260C2×#532—731no—
1261C2×#529—731no—
1262C73#6274811yescharacteristic, complemented, Sylow
1263C22×#41—732no—
1264C22×#41—731no—
1265C22×#41—731no—
1266C22×#41—732no—
1267#563—732no—
1268#563—734no—
1269#563—732no—
1270#563—734no—
1271#562—734no—
1272#562—734no—
1273#562—732no—
1274#562—732no—
1275#562—732no—
1276#562—734no—
1277#562—734no—
1278#562C2×D7312yescomplemented
1279H(3,𝔽4)—732no—
1280H(3,𝔽4)C2×D7312yescomplemented
1281#560—734no—
1282#560—734no—
1283#560—734no—
1284#560—734no—
1285#560—734no—
1286#560—734no—
1287#559—734no—
1288#559—732no—
1289#559—732no—
1290#559C2×D7312yescomplemented
1291#557—732no—
1292#556—732no—
1293#556—732no—
1294#556—732no—
1295#554—734no—
1296#554—734no—
1297#553—734no—
1298#553—734no—
1299#553—734no—
1300#553—734no—
1301#553—734no—
1302#553—734no—
1303#553—734no—
1304#551—734no—
1305#551—734no—
1306#551—734no—
1307#551—734no—
1308#550—732no—
1309#550—732no—
1310#550—732no—
1311#550—732no—
1312D4×Q8—732no—
1313D4×Q8—732no—
1314D4×Q8—732no—
1315#548—732no—
1316#548—734no—
1317#548—732no—
1318#548—732no—
1319#548—732no—
1320#548—732no—
1321#548C2×D7312yescomplemented
1322#547—732no—
1323#547—734no—
1324#547—732no—
1325#547—734no—
1326#547—734no—
1327#547—732no—
1328#546—734no—
1329#546—732no—
1330#546—732no—
1331#546—732no—
1332#546—734no—
1333#546—734no—
1334#546—734no—
1335#546—734no—
1336#546—734no—
1337#546—734no—
1338#546—732no—
1339#546—734no—
1340#546—732no—
1341#546—734no—
1342#546C2×D7312yescomplemented
1343#546C2×D7314yescomplemented
1344D42—734no—
1345D42—732no—
1346D42—734no—
1347D42—734no—
1348D42—732no—
1349D42—734no—
1350D42C2×D7312yescomplemented
1351#544—734no—
1352#543—732no—
1353#543—732no—
1354#542—732no—
1355#542—734no—
1356#542—734no—
1357#542—734no—
1358#542—734no—
1359#542—732no—
1360#542—732no—
1361#542C2×D7312yescomplemented
1362#541—732no—
1363#541—732no—
1364#540—734no—
1365#540—734no—
1366#540—734no—
1367#540—734no—
1368#540—732no—
1369#540—732no—
1370#539—734no—
1371#539—734no—
1372#539—734no—
1373#539—734no—
1374#539—734no—
1375#539—734no—
1376#539—734no—
1377#539—734no—
1378#538—734no—
1379#538—734no—
1380#538—734no—
1381#538—734no—
1382#538—732no—
1383#538—732no—
1384#538—734no—
1385#538—734no—
1386#538—734no—
1387#538—734no—
1388#538—732no—
1389#538—734no—
1390#538C2×D7312yescomplemented
1391#538C2×D7314yescomplemented
1392#537—734no—
1393#537—734no—
1394#537—734no—
1395#536—732no—
1396#536—732no—
1397#536—732no—
1398#536—732no—
1399#535—732no—
1400#535—732no—
1401#535—732no—
1402#535—734no—
1403#535—734no—
1404#535C2×D7312yescomplemented
1405#534—734no—
1406#534—732no—
1407#534—734no—
1408#534—734no—
1409#534—734no—
1410#534C2×D7312yescomplemented
1411#533—731no—
1412#533—731no—
1413#533—731no—
1414#532—731no—
1415#532—731no—
1416#532—732no—
1417#532—732no—
1418#532—732no—
1419#532—732no—
1420#532—732no—
1421#532—732no—
1422#532—732no—
1423#532—732no—
1424#532—732no—
1425#532—732no—
1426#532—734no—
1427#532—734no—
1428#532—734no—
1429#532C2×D7311yescharacteristic, complemented
1430C2×C4⋊Q8—731no—
1431C2×#127—731no—
1432#529—732no—
1433#529—734no—
1434#529—731no—
1435#529—731no—
1436#529—732no—
1437#529—732no—
1438#529—734no—
1439#529—734no—
1440#529—732no—
1441#529—734no—
1442#529—734no—
1443#529—734no—
1444#529—731no—
1445#529—734no—
1446#529—731no—
1447#529—732no—
1448#529—732no—
1449#529—731no—
1450#529—732no—
1451#529—731no—
1452#529—732no—
1453#529—732no—
1454#529—732no—
1455#529—731no—
1456#529C2×D7311yescharacteristic, complemented
1457C2×#126—732no—
1458C2×#125—731no—
1459C2×#124—731no—
1460C2×#124—731no—
1461C2×#124C2×D7311yescharacteristic, complemented
1462#525—732no—
1463#525—734no—
1464#525—732no—
1465#525—734no—
1466#525—732no—
1467#525—732no—
1468#525—734no—
1469#525—734no—
1470#525—732no—
1471#525—734no—
1472#525—734no—
1473#525—734no—
1474#525—734no—
1475#525—734no—
1476#525—734no—
1477C2×#123—732no—
1478C2×C22⋊Q8—731no—
1479C2×#121—731no—
1480C2×#121—732no—
1481C2×#121—732no—
1482C4×#41—732no—
1483C4×#41—732no—
1484C4×#41—732no—
1485C4×#41—732no—
1486C4×#41—732no—
1487C4×#41—734no—
1488C2×C4×Q8—731no—
1489C2×C4×D4—734no—
1490C2×C4×D4—732no—
1491C2×C4×D4—731no—
1492C2×C4×D4—734no—
1493C2×C4×D4—732no—
1494C2×C4×D4—732no—
1495C2×C4×D4—734no—
1496C2×#117—732no—
1497C22×C42—731no—
1498C2×#41—2924no—
1499C2×#41—2928no—
1500C2×#41—2924no—
1501C2×#41—2928no—
1502C2×#41—732no—
1503C2×#41—732no—
1504C2×#41—732no—
1505C2×#41—732no—
1506C2×#41—732no—
1507C2×#41—734no—
1508C2×#41—734no—
1509C2×#41—734no—
1510C2×#41—732no—
1511C2×#41—732no—
1512C2×#41—732no—
1513C2×#41—732no—
1514C2×#41—732no—
1515C2×#41—734no—
1516C2×#41—732no—
1517C2×#41—732no—
1518C2×#41—732no—
1519C2×#41—734no—
1520C2×#41C22×D7312yes—
1521C2×#41C22×D7312yes—
1522C22×Q8—731no—
1523C22×Q8—732no—
1524C22×Q8—731no—
1525C22×Q8—732no—
1526C22×Q8C22×D7311yescharacteristic
1527C22×D4—732no—
1528C22×D4—732no—
1529C22×D4—734no—
1530C22×D4—732no—
1531C22×D4—734no—
1532C22×D4—732no—
1533C22×D4—731no—
1534C22×D4—734no—
1535C22×D4—734no—
1536C22×D4—732no—
1537C22×D4—732no—
1538C22×D4—731no—
1539C22×D4C22×D7314yes—
1540C22×D4C22×D7311yescharacteristic
1541C22×D4C22×D7312yes—
1542C23×C4—732no—
1543C23×C4—734no—
1544C23×C4—732no—
1545C23×C4—734no—
1546C23×C4—731no—
1547C23×C4—731no—
1548C23×C4—732no—
1549C23×C4—731no—
1550C4⋊Q8—732no—
1551C4⋊Q8—732no—
1552C4⋊Q8—732no—
1553C4⋊Q8—732no—
1554C4⋊Q8—732no—
1555C4⋊Q8—734no—
1556C4⋊Q8—734no—
1557C4⋊Q8—734no—
1558C4⋊Q8—731no—
1559C4⋊Q8—731no—
1560C4⋊Q8—732no—
1561C4⋊Q8C22×D7311yescharacteristic
1562#127—732no—
1563#127—732no—
1564#127—732no—
1565#127—732no—
1566#127—732no—
1567#127—734no—
1568#127—734no—
1569#127—734no—
1570#127C22×D7311yescharacteristic
1571#127C22×D7312yes—
1572#126—732no—
1573#126—732no—
1574#126—732no—
1575#126—734no—
1576#126—734no—
1577#126—734no—
1578#126—734no—
1579#126—734no—
1580#126—732no—
1581#126—732no—
1582#126—732no—
1583#126—734no—
1584#126—734no—
1585#126—734no—
1586#126—734no—
1587#126—734no—
1588#126—734no—
1589#126—734no—
1590#126—734no—
1591#126—734no—
1592#126—732no—
1593#126—734no—
1594#126C22×D7312yes—
1595#126C22×D7314yes—
1596#125—731no—
1597#125—731no—
1598#125—732no—
1599#125—732no—
1600#125—732no—
1601#125—732no—
1602#125—734no—
1603#125—734no—
1604#125—734no—
1605#125—734no—
1606#125—734no—
1607#125—731no—
1608#125—732no—
1609#125—734no—
1610#125—734no—
1611#125C22×D7311yescharacteristic
1612#124—731no—
1613#124—734no—
1614#124—731no—
1615#124—732no—
1616#124—732no—
1617#124—732no—
1618#124—732no—
1619#124—732no—
1620#124—732no—
1621#124—734no—
1622#124—734no—
1623#124—734no—
1624#124—734no—
1625#124—734no—
1626#124—734no—
1627#124—734no—
1628#124—734no—
1629#124—731no—
1630#124—732no—
1631#124—732no—
1632#124—732no—
1633#124—732no—
1634#124—732no—
1635#124—734no—
1636#124C22×D7311yescharacteristic
1637#124C22×D7312yes—
1638#124C22×D7312yes—
1639#124C22×D7312yes—
1640#124C22×D7312yes—
1641#124C22×D7312yes—
1642#124C22×D7314yes—
1643#124C22×D7314yes—
1644#124C22×D7312yes—
1645#124C22×D7314yes—
1646#123—732no—
1647#123—734no—
1648#123—734no—
1649#123—734no—
1650#123—734no—
1651#123—734no—
1652#123—734no—
1653#123—732no—
1654#123—734no—
1655#123—734no—
1656#123—734no—
1657#123—734no—
1658#123—732no—
1659#123—732no—
1660#123—734no—
1661#123—734no—
1662#123—734no—
1663#123—734no—
1664#123—732no—
1665#123—732no—
1666#123—732no—
1667#123—734no—
1668#123—734no—
1669#123—734no—
1670#123—734no—
1671#123—734no—
1672#123—734no—
1673#123—734no—
1674#123—734no—
1675#123—734no—
1676#123—734no—
1677#123—734no—
1678#123—734no—
1679#123—734no—
1680#123—734no—
1681#123—734no—
1682#123—734no—
1683#123—734no—
1684#123—734no—
1685#123—734no—
1686#123—734no—
1687#123—734no—
1688#123C22×D7312yes—
1689#123C22×D7314yes—
1690#123C22×D7314yes—
1691#123C22×D7314yes—
1692#123C22×D7314yes—
1693C22⋊Q8—731no—
1694C22⋊Q8—732no—
1695C22⋊Q8—732no—
1696C22⋊Q8—732no—
1697C22⋊Q8—734no—
1698C22⋊Q8—734no—
1699C22⋊Q8—734no—
1700C22⋊Q8—731no—
1701C22⋊Q8—732no—
1702C22⋊Q8—732no—
1703C22⋊Q8—734no—
1704C22⋊Q8—734no—
1705C22⋊Q8—734no—
1706C22⋊Q8—732no—
1707C22⋊Q8—732no—
1708C22⋊Q8—731no—
1709C22⋊Q8—732no—
1710C22⋊Q8—732no—
1711C22⋊Q8—734no—
1712C22⋊Q8—734no—
1713C22⋊Q8—734no—
1714C22⋊Q8—734no—
1715C22⋊Q8—734no—
1716C22⋊Q8—732no—
1717C22⋊Q8—734no—
1718C22⋊Q8—732no—
1719C22⋊Q8—734no—
1720C22⋊Q8—734no—
1721C22⋊Q8—734no—
1722C22⋊Q8—734no—
1723C22⋊Q8—734no—
1724C22⋊Q8—734no—
1725C22⋊Q8—734no—
1726C22⋊Q8—734no—
1727C22⋊Q8—734no—
1728C22⋊Q8—734no—
1729C22⋊Q8—734no—
1730C22⋊Q8—734no—
1731C22⋊Q8—734no—
1732C22⋊Q8C22×D7311yescharacteristic
1733C22⋊Q8C22×D7314yes—
1734C22⋊Q8C22×D7312yes—
1735C22⋊Q8C22×D7314yes—
1736#121—732no—
1737#121—731no—
1738#121—732no—
1739#121—732no—
1740#121—732no—
1741#121—732no—
1742#121—734no—
1743#121—734no—
1744#121—734no—
1745#121—734no—
1746#121—734no—
1747#121—734no—
1748#121—734no—
1749#121—734no—
1750#121—734no—
1751#121—734no—
1752#121—734no—
1753#121—734no—
1754#121—734no—
1755#121—732no—
1756#121—734no—
1757#121—734no—
1758#121—734no—
1759#121—734no—
1760#121—734no—
1761#121—734no—
1762#121—734no—
1763#121—734no—
1764#121—734no—
1765#121—734no—
1766#121—734no—
1767#121—731no—
1768#121—734no—
1769#121—732no—
1770#121—734no—
1771#121—734no—
1772#121—734no—
1773#121—731no—
1774#121—734no—
1775#121—732no—
1776#121—732no—
1777#121—734no—
1778#121—734no—
1779#121—734no—
1780#121—734no—
1781#121—734no—
1782#121—734no—
1783#121—734no—
1784#121—734no—
1785#121—734no—
1786#121—734no—
1787#121—734no—
1788#121—734no—
1789#121—734no—
1790#121—734no—
1791#121—734no—
1792#121—734no—
1793#121—734no—
1794#121C22×D7311yescharacteristic
1795#121C22×D7312yes—
1796#121C22×D7312yes—
1797#121C22×D7314yes—
1798#121C22×D7314yes—
1799#121C22×D7314yes—
1800#121C22×D7312yes—
1801#121C22×D7314yes—
1802#121C22×D7314yes—
1803#120—734no—
1804#120—734no—
1805#120—734no—
1806#120—734no—
1807#120—734no—
1808#120—734no—
1809#120—734no—
1810#120—734no—
1811#120—734no—
1812#120—734no—
1813#120—734no—
1814#120—734no—
1815#120—734no—
1816#120—734no—
1817#120—734no—
1818#120—734no—
1819#120—734no—
1820#120—734no—
1821#120C22×D7314yes—
1822#120C22×D7314yes—
1823#120C22×D7314yes—
1824#120C22×D7314yes—
1825#120C22×D7314yes—
1826C4×Q8—731no—
1827C4×Q8—732no—
1828C4×Q8—732no—
1829C4×Q8—732no—
1830C4×Q8—732no—
1831C4×Q8—731no—
1832C4×Q8—732no—
1833C4×Q8—732no—
1834C4×Q8—732no—
1835C4×Q8—732no—
1836C4×Q8—731no—
1837C4×Q8—732no—
1838C4×Q8—732no—
1839C4×Q8—732no—
1840C4×Q8—734no—
1841C4×Q8C22×D7311yescharacteristic
1842C4×Q8C22×D7312yes—
1843C4×D4—732no—
1844C4×D4—734no—
1845C4×D4—731no—
1846C4×D4—734no—
1847C4×D4—734no—
1848C4×D4—734no—
1849C4×D4—734no—
1850C4×D4—734no—
1851C4×D4—734no—
1852C4×D4—732no—
1853C4×D4—732no—
1854C4×D4—734no—
1855C4×D4—734no—
1856C4×D4—732no—
1857C4×D4—732no—
1858C4×D4—732no—
1859C4×D4—732no—
1860C4×D4—732no—
1861C4×D4—732no—
1862C4×D4—734no—
1863C4×D4—734no—
1864C4×D4—734no—
1865C4×D4—734no—
1866C4×D4—734no—
1867C4×D4—734no—
1868C4×D4—734no—
1869C4×D4—731no—
1870C4×D4—734no—
1871C4×D4—732no—
1872C4×D4—734no—
1873C4×D4—732no—
1874C4×D4—732no—
1875C4×D4—732no—
1876C4×D4—734no—
1877C4×D4—734no—
1878C4×D4—734no—
1879C4×D4—734no—
1880C4×D4—734no—
1881C4×D4—734no—
1882C4×D4—734no—
1883C4×D4—732no—
1884C4×D4—734no—
1885C4×D4—734no—
1886C4×D4—734no—
1887C4×D4—734no—
1888C4×D4—734no—
1889C4×D4—734no—
1890C4×D4—734no—
1891C4×D4—734no—
1892C4×D4—734no—
1893C4×D4—734no—
1894C4×D4—734no—
1895C4×D4—734no—
1896C4×D4—731no—
1897C4×D4—732no—
1898C4×D4—734no—
1899C4×D4—734no—
1900C4×D4—732no—
1901C4×D4C22×D7312yes—
1902C4×D4C22×D7311yescharacteristic
1903C4×D4C22×D7314yes—
1904C4×D4C22×D7312yes—
1905C4×D4C22×D7312yes—
1906C4×D4C22×D7314yes—
1907C4×D4C22×D7312yes—
1908#117—732no—
1909#117—732no—
1910#117—734no—
1911#117—732no—
1912#117—732no—
1913#117—732no—
1914#117—734no—
1915#117—732no—
1916#117—734no—
1917#117—732no—
1918#117—732no—
1919#117—734no—
1920#117—734no—
1921#117—734no—
1922#117—734no—
1923#117—734no—
1924#117—732no—
1925#117—732no—
1926#117C22×D7312yes—
1927C2×C4⋊C4—732no—
1928C2×C4⋊C4—732no—
1929C2×C4⋊C4—734no—
1930C2×C4⋊C4—734no—
1931C2×C4⋊C4—732no—
1932C2×C4⋊C4—732no—
1933C2×C4⋊C4—731no—
1934C2×C4⋊C4—732no—
1935C2×C4⋊C4—734no—
1936C2×C4⋊C4—731no—
1937C2×C4⋊C4—732no—
1938C2×C22⋊C4—734no—
1939C2×C22⋊C4—734no—
1940C2×C22⋊C4—732no—
1941C2×C22⋊C4—732no—
1942C2×C22⋊C4—734no—
1943C2×C22⋊C4—732no—
1944C2×C22⋊C4—732no—
1945C2×C22⋊C4—732no—
1946C2×C22⋊C4—732no—
1947C2×C22⋊C4—732no—
1948C2×C22⋊C4—734no—
1949C2×C22⋊C4—734no—
1950C2×C22⋊C4C22×D7312yes—
1951C2×C22⋊C4C22×D7312yes—
1952C2×C22⋊C4C22×D7314yes—
1953C2×C42—731no—
1954C2×C42—731no—
1955C2×C42—734no—
1956C2×C42—734no—
1957C2×C42—731no—
1958C2×C42—731no—
1959C2×C42—732no—
1960C2×C42—731no—
1961C2×C42—734no—
1962C2×C42—731no—
1963C2×C42—731no—
1964C2×C42—731no—
1965C2×C42—731no—
1966C2×C42—731no—
1967C2×C42—731no—
1968C2×C42C22×D7311yescharacteristic
1969C24—734no—
1970C24—732no—
1971C24—732no—
1972C24—731no—
1973C24C23×D7312yes—
1974C24C23×D7314yes—
1975#41—44no—
1976#41—44no—
1977#41—2924no—
1978#41—2928no—
1979#41—2924no—
1980#41—2924no—
1981#41—2924no—
1982#41—2928no—
1983#41—2924no—
1984#41—2928no—
1985#41—2924no—
1986#41—2924no—
1987#41—2928no—
1988#41—2928no—
1989#41—2924no—
1990#41—2924no—
1991#41—2924no—
1992#41—1468no—
1993#41—1468no—
1994#41—1468no—
1995C2×Q8—42no—
1996C2×Q8—2922no—
1997C2×Q8—2924no—
1998C2×Q8—2924no—
1999C2×Q8—2922no—
2000C2×Q8—731no—
2001C2×Q8—732no—
2002C2×Q8—734no—
2003C2×Q8—734no—
2004C2×Q8—732no—
2005C2×Q8—732no—
2006C2×Q8—732no—
2007C2×Q8—732no—
2008C2×Q8C23×D7312yes—
2009C2×Q8C23×D7312yes—
2010C2×Q8C23×D7311yescharacteristic
2011C2×Q8C23×D7312yes—
2012C2×D4—42no—
2013C2×D4—44no—
2014C2×D4—48no—
2015C2×D4—2922no—
2016C2×D4—2924no—
2017C2×D4—2924no—
2018C2×D4—2928no—
2019C2×D4—2928no—
2020C2×D4—2924no—
2021C2×D4—2928no—
2022C2×D4—2924no—
2023C2×D4—2922no—
2024C2×D4—2924no—
2025C2×D4—2924no—
2026C2×D4—2928no—
2027C2×D4—734no—
2028C2×D4—734no—
2029C2×D4—734no—
2030C2×D4—734no—
2031C2×D4—734no—
2032C2×D4—734no—
2033C2×D4—734no—
2034C2×D4—734no—
2035C2×D4—732no—
2036C2×D4—734no—
2037C2×D4—734no—
2038C2×D4—734no—
2039C2×D4—734no—
2040C2×D4—734no—
2041C2×D4—732no—
2042C2×D4—732no—
2043C2×D4—734no—
2044C2×D4—734no—
2045C2×D4—734no—
2046C2×D4—731no—
2047C2×D4—734no—
2048C2×D4—732no—
2049C2×D4—732no—
2050C2×D4—734no—
2051C2×D4—734no—
2052C2×D4—732no—
2053C2×D4C23×D7314yes—
2054C2×D4C23×D7312yes—
2055C2×D4C23×D7312yes—
2056C2×D4C23×D7312yes—
2057C2×D4C23×D7312yes—
2058C2×D4C23×D7314yes—
2059C2×D4C23×D7314yes—
2060C2×D4C23×D7312yes—
2061C2×D4C23×D7314yes—
2062C2×D4C23×D7311yescharacteristic
2063C2×D4C23×D7314yes—
2064C2×D4C23×D7314yes—
2065C2×D4C23×D7312yes—
2066C22×C4—2922no—
2067C22×C4—2922no—
2068C22×C4—2924no—
2069C22×C4—2928no—
2070C22×C4—2924no—
2071C22×C4—2928no—
2072C22×C4—734no—
2073C22×C4—732no—
2074C22×C4—734no—
2075C22×C4—734no—
2076C22×C4—734no—
2077C22×C4—734no—
2078C22×C4—731no—
2079C22×C4—731no—
2080C22×C4—731no—
2081C22×C4—731no—
2082C22×C4—731no—
2083C22×C4—731no—
2084C22×C4—732no—
2085C22×C4—734no—
2086C22×C4—732no—
2087C22×C4—734no—
2088C22×C4—734no—
2089C22×C4—734no—
2090C22×C4—734no—
2091C22×C4—731no—
2092C22×C4—731no—
2093C22×C4—731no—
2094C22×C4—731no—
2095C22×C4—734no—
2096C22×C4—734no—
2097C22×C4—734no—
2098C22×C4—732no—
2099C22×C4—731no—
2100C22×C4—731no—
2101C22×C4—731no—
2102C22×C4—731no—
2103C22×C4—731no—
2104C22×C4—734no—
2105C22×C4—732no—
2106C22×C4—732no—
2107C22×C4—732no—
2108C22×C4—1464no—
2109C22×C4—1468no—
2110C22×C4C23×D7311yescharacteristic
2111C22×C4C23×D7311yescharacteristic
2112C22×C4C23×D7312yes—
2113C22×C4C23×D7311yescharacteristic
2114C22×C4C23×D7314yes—
2115C22×C4C23×D7314yes—
2116C22×C4C23×D7312yes—
2117C22×C4C23×D7314yes—
2118C4⋊C4—732no—
2119C4⋊C4—732no—
2120C4⋊C4—734no—
2121C4⋊C4—732no—
2122C4⋊C4—732no—
2123C4⋊C4—732no—
2124C4⋊C4—732no—
2125C4⋊C4—732no—
2126C4⋊C4—732no—
2127C4⋊C4—734no—
2128C4⋊C4—734no—
2129C4⋊C4—734no—
2130C4⋊C4—734no—
2131C4⋊C4—732no—
2132C4⋊C4—734no—
2133C4⋊C4—734no—
2134C4⋊C4—732no—
2135C4⋊C4—734no—
2136C4⋊C4—734no—
2137C4⋊C4—734no—
2138C4⋊C4—734no—
2139C4⋊C4—734no—
2140C4⋊C4—734no—
2141C4⋊C4—734no—
2142C4⋊C4—732no—
2143C4⋊C4—734no—
2144C4⋊C4—732no—
2145C4⋊C4—732no—
2146C4⋊C4—734no—
2147C4⋊C4—734no—
2148C4⋊C4—731no—
2149C4⋊C4—731no—
2150C4⋊C4—732no—
2151C4⋊C4—732no—
2152C4⋊C4—734no—
2153C4⋊C4—734no—
2154C4⋊C4—732no—
2155C4⋊C4—732no—
2156C4⋊C4—734no—
2157C4⋊C4—732no—
2158C4⋊C4C23×D7312yes—
2159C4⋊C4C23×D7312yes—
2160C4⋊C4C23×D7312yes—
2161C4⋊C4C23×D7312yes—
2162C4⋊C4C23×D7314yes—
2163C4⋊C4C23×D7311yescharacteristic
2164C4⋊C4C23×D7311yescharacteristic
2165C4⋊C4C23×D7312yes—
2166C4⋊C4C23×D7314yes—
2167C4⋊C4C23×D7312yes—
2168C22⋊C4—732no—
2169C22⋊C4—732no—
2170C22⋊C4—734no—
2171C22⋊C4—734no—
2172C22⋊C4—732no—
2173C22⋊C4—732no—
2174C22⋊C4—732no—
2175C22⋊C4—734no—
2176C22⋊C4—734no—
2177C22⋊C4—734no—
2178C22⋊C4—734no—
2179C22⋊C4—734no—
2180C22⋊C4—734no—
2181C22⋊C4—734no—
2182C22⋊C4—734no—
2183C22⋊C4—734no—
2184C22⋊C4—734no—
2185C22⋊C4—732no—
2186C22⋊C4—732no—
2187C22⋊C4—734no—
2188C22⋊C4—732no—
2189C22⋊C4—732no—
2190C22⋊C4—732no—
2191C22⋊C4—732no—
2192C22⋊C4—732no—
2193C22⋊C4—734no—
2194C22⋊C4—734no—
2195C22⋊C4—732no—
2196C22⋊C4—734no—
2197C22⋊C4—734no—
2198C22⋊C4—734no—
2199C22⋊C4—734no—
2200C22⋊C4—734no—
2201C22⋊C4—734no—
2202C22⋊C4—732no—
2203C22⋊C4—732no—
2204C22⋊C4—734no—
2205C22⋊C4—734no—
2206C22⋊C4—734no—
2207C22⋊C4—734no—
2208C22⋊C4—734no—
2209C22⋊C4C23×D7312yes—
2210C22⋊C4C23×D7312yes—
2211C22⋊C4C23×D7312yes—
2212C22⋊C4C23×D7312yes—
2213C22⋊C4C23×D7312yes—
2214C22⋊C4C23×D7314yes—
2215C22⋊C4C23×D7314yes—
2216C22⋊C4C23×D7314yes—
2217C22⋊C4C23×D7314yes—
2218C22⋊C4C23×D7314yes—
2219C22⋊C4C23×D7314yes—
2220C22⋊C4C23×D7314yes—
2221C22⋊C4C23×D7314yes—
2222C22⋊C4C23×D7314yes—
2223C22⋊C4C23×D7314yes—
2224C22⋊C4C23×D7314yes—
2225C42—731no—
2226C42—732no—
2227C42—734no—
2228C42—731no—
2229C42—731no—
2230C42—731no—
2231C42—732no—
2232C42—731no—
2233C42—731no—
2234C42—731no—
2235C42—731no—
2236C42—731no—
2237C42—731no—
2238C42—731no—
2239C42—731no—
2240C42—734no—
2241C42—734no—
2242C42—732no—
2243C42—734no—
2244C42—734no—
2245C42—734no—
2246C42C23×D7311yescharacteristic
2247C42C23×D7311yescharacteristic
2248C42C23×D7311yescharacteristic
2249C42C23×D7311yescharacteristic
2250C42C23×D7312yes—
2251C42C23×D7314yes—
2252C23—24no—
2253C23—42no—
2254C23—44no—
2255C23—44no—
2256C23—42no—
2257C23—44no—
2258C23—2921no—
2259C23—2922no—
2260C23—2924no—
2261C23—2922no—
2262C23—2924no—
2263C23—2922no—
2264C23—2924no—
2265C23—2922no—
2266C23—731no—
2267C23—732no—
2268C23—734no—
2269C23—731no—
2270C23—1462no—
2271C23—1464no—
2272C23—1462no—
2273C23—1464no—
2274C23C24×D7312yes—
2275C23C24×D7314yes—
2276C23C24×D7314yes—
2277C23C24×D7311yescharacteristic
2278Q8—24no—
2279Q8—42no—
2280Q8—41no—
2281Q8—42no—
2282Q8—2924no—
2283Q8—2922no—
2284Q8—2924no—
2285Q8—2921no—
2286Q8—2922no—
2287Q8—1464no—
2288Q8—1464no—
2289Q8—1464no—
2290D4—24no—
2291D4—28no—
2292D4—24no—
2293D4—24no—
2294D4—44no—
2295D4—42no—
2296D4—44no—
2297D4—44no—
2298D4—44no—
2299D4—41no—
2300D4—42no—
2301D4—42no—
2302D4—44no—
2303D4—2922no—
2304D4—2924no—
2305D4—2921no—
2306D4—2922no—
2307D4—2924no—
2308D4—2924no—
2309D4—2924no—
2310D4—2924no—
2311D4—2924no—
2312D4—2924no—
2313D4—2924no—
2314D4—2924no—
2315D4—2924no—
2316D4—2924no—
2317D4—2922no—
2318D4—2924no—
2319D4—2924no—
2320D4—2924no—
2321D4—2924no—
2322D4—1468no—
2323D4—1464no—
2324D4—1468no—
2325D4—1468no—
2326D4—1468no—
2327D4—1464no—
2328D4—1464no—
2329C2×C4—22no—
2330C2×C4—22no—
2331C2×C4—24no—
2332C2×C4—42no—
2333C2×C4—44no—
2334C2×C4—41no—
2335C2×C4—44no—
2336C2×C4—44no—
2337C2×C4—2924no—
2338C2×C4—2924no—
2339C2×C4—2924no—
2340C2×C4—2921no—
2341C2×C4—2921no—
2342C2×C4—2921no—
2343C2×C4—2921no—
2344C2×C4—2921no—
2345C2×C4—2921no—
2346C2×C4—2922no—
2347C2×C4—2924no—
2348C2×C4—2922no—
2349C2×C4—2924no—
2350C2×C4—2922no—
2351C2×C4—2924no—
2352C2×C4—2924no—
2353C2×C4—2924no—
2354C2×C4—2924no—
2355C2×C4—2924no—
2356C2×C4—731no—
2357C2×C4—731no—
2358C2×C4—734no—
2359C2×C4—732no—
2360C2×C4—734no—
2361C2×C4—731no—
2362C2×C4—732no—
2363C2×C4—731no—
2364C2×C4—731no—
2365C2×C4—731no—
2366C2×C4—734no—
2367C2×C4—734no—
2368C2×C4—732no—
2369C2×C4—1464no—
2370C2×C4—1468no—
2371C2×C4—1462no—
2372C2×C4—1462no—
2373C2×C4—1462no—
2374C2×C4—1464no—
2375C2×C4—1462no—
2376C2×C4—1462no—
2377C2×C4—1464no—
2378C2×C4—1468no—
2379C2×C4—1468no—
2380C2×C4—1462no—
2381C2×C4—1468no—
2382C2×C4—1462no—
2383C2×C4—1464no—
2384C2×C4—1462no—
2385C2×C4C24×D7311yescharacteristic
2386C2×C4C24×D7314yes—
2387C2×C4C24×D7312yes—
2388C2×C4C24×D7311yescharacteristic
2389C2×C4C24×D7311yescharacteristic
2390C2×C4C24×D7311yescharacteristic
2391C2×C4C24×D7311yescharacteristic
2392C2×C4C24×D7312yes—
2393C2×C4C24×D7314yes—
2394C2×C4C24×D7312yes—
2395C2×C4C24×D7311yescharacteristic
2396C22—21no—
2397C22—21no—
2398C22—22no—
2399C22—24no—
2400C22—24no—
2401C22—24no—
2402C22—24no—
2403C22—22no—
2404C22—24no—
2405C22—24no—
2406C22—22no—
2407C22—84no—
2408C22—88no—
2409C22—2924no—
2410C22—5844no—
2411C22—5848no—
2412C22—5844no—
2413C22—732no—
2414C22—1462no—
2415C22—1464no—
2416C22—1461no—
2417C22—1461no—
2418C22—1464no—
2419C22—1462no—
2420C22—1461no—
2421C22—1464no—
2422C22—1462no—
2423C22—1461no—
2424C22—1461no—
2425C22#1798942212yes—
2426C22C25×D7311yescharacteristic
2427C4—22no—
2428C4—21no—
2429C4—24no—
2430C4—21no—
2431C4—21no—
2432C4—22no—
2433C4—21no—
2434C4—21no—
2435C4—22no—
2436C4—24no—
2437C4—732no—
2438C4—732no—
2439C4—1461no—
2440C4—1462no—
2441C4—1464no—
2442C4—1464no—
2443C4—1462no—
2444C4—1461no—
2445C4—1464no—
2446C4—1462no—
2447C4—1461no—
2448C4—1461no—
2449C4H(5,𝔽2)×D7312yes—
2450C2—22no—
2451C2—42no—
2452C2—44no—
2453C2—44no—
2454C2—2921no—
2455C2—2922no—
2456C2—2924no—
2457C2—1462no—
2458C2C2×H(5,𝔽2)×D7311yescharacteristic
2459C2#585×D7311yescharacteristic
2460C2C2×#1798942211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3558C2
hypercenter#3558D73
hypocenterC73#62748
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3558

Complements

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

NH ≅ G/Ntype
1. #22624517C2semidirect
2. #22624509C2semidirect
3. #22624503C2semidirect
4. #22624501C2semidirect
5. #22624476C2semidirect
6. #22624459C2semidirect
7. #22624454C2semidirect
8. #22624444C2semidirect
9. #22624399C2semidirect
10. #22624362C2semidirect
11. #22624292C2semidirect
12. #22624256C2semidirect
13. #22624168C2semidirect
14. #22624152C2semidirect
15. #22624113C2semidirect
16. #22624071C2semidirect
17. #22624068C2semidirect
18. #22623536C2semidirect
19. #22623527C2semidirect
20. #22623420C2semidirect
21. #22623415C2semidirect
22. D4×#11924027C2semidirect
23. #22623350C2semidirect
24. #22623342C2semidirect
25. #22623337C2semidirect
26. #22623318C2semidirect
27. #22623262C2semidirect
28. #22623226C2semidirect
29. C2×#17989136C2semidirect
30. #529×D73C2semidirect
31. C73×#3558C2semidirect
32. C22×#11924029C22semidirect
33. C22×#11924027C22semidirect
34. C22×#11924027C22semidirect
35. C2×#41×D73C22semidirect
36. #17989341C22semidirect
37. #17989338C22semidirect
38. #17989337C22semidirect
39. #17989337C22semidirect
40. #17989334C22semidirect
41. #17989333C22semidirect
42. #17989331C22semidirect
43. #17989331C22semidirect
44. #17989331C22semidirect
45. #17989331C22semidirect
46. #17989331C22semidirect
47. #17989329C22semidirect
48. #17989327C22semidirect
49. #17989326C22semidirect
50. #17989326C22semidirect
51. #17989326C22semidirect
52. #17989325C22semidirect
53. #17989325C22semidirect
54. #17989320C22semidirect
55. #17989320C22semidirect
56. #17989319C22semidirect
57. #17989315C22semidirect
58. #17989310C22semidirect
59. #17989306C22semidirect
60. #17989306C22semidirect
61. #17989296C22semidirect
62. #17989295C22semidirect
63. #17989287C22semidirect
64. #17989284C22semidirect
65. #17989283C22semidirect
66. #17989282C22semidirect
67. #17989282C22semidirect
68. #17989280C22semidirect
69. #17989280C22semidirect
70. #17989263C22semidirect
71. #17989263C22semidirect
72. #17989260C22semidirect
73. #17989260C22semidirect
74. #17989257C22semidirect
75. #17989257C22semidirect
76. #17989256C22semidirect
77. #17989255C22semidirect
78. D4×Dic146C22semidirect
79. Q8×C22⋊D73C22semidirect
80. #17989250C22semidirect
81. #17989249C22semidirect
82. #17989246C22semidirect
83. #17989245C22semidirect
84. #17989245C22semidirect
85. #17989243C22semidirect
86. #17989243C22semidirect
87. #17989241C22semidirect
88. #17989239C22semidirect
89. #17989239C22semidirect
90. #17989237C22semidirect
91. #17989236C22semidirect
92. #17989235C22semidirect
93. #17989233C22semidirect
94. #17989233C22semidirect
95. #17989232C22semidirect
96. #17989231C22semidirect
97. #17989231C22semidirect
98. #17989230C22semidirect
99. #17989230C22semidirect
100. #17989227C22semidirect
101. #17989226C22semidirect
102. #17989225C22semidirect
103. #17989224C22semidirect
104. #17989224C22semidirect
105. #17989224C22semidirect
106. #17989224C22semidirect
107. #17989221C22semidirect
108. #17989221C22semidirect
109. D4×C22⋊D73C22semidirect
110. D4×C22⋊D73C22semidirect
111. D4×C22⋊D73C22semidirect
112. #17989219C22semidirect
113. #17989216C22semidirect
114. #17989213C22semidirect
115. #17989212C22semidirect
116. #17989211C22semidirect
117. #17989208C22semidirect
118. #17989206C22semidirect
119. #17989203C22semidirect
120. #17989203C22semidirect
121. #17989201C22semidirect
122. #17989201C22semidirect
123. #17989197C22semidirect
124. #17989195C22semidirect
125. #17989190C22semidirect
126. #17989189C22semidirect
127. #17989189C22semidirect
128. #17989188C22semidirect
129. #17989187C22semidirect
130. #17989187C22semidirect
131. #17989183C22semidirect
132. #17989182C22semidirect
133. #17989181C22semidirect
134. #17989181C22semidirect
135. #17989180C22semidirect
136. #17989179C22semidirect
137. #17989178C22semidirect
138. #17989178C22semidirect
139. #17989175C22semidirect
140. #17989175C22semidirect
141. #17989174C22semidirect
142. #17989174C22semidirect
143. #17989173C22semidirect
144. #17989172C22semidirect
145. #17989172C22semidirect
146. #17989171C22semidirect
147. #17989171C22semidirect
148. #17989170C22semidirect
149. #17989170C22semidirect
150. #17989169C22semidirect
151. #17989166C22semidirect
152. #17989166C22semidirect
153. #17989164C22semidirect
154. #17989163C22semidirect
155. #17989158C22semidirect
156. #17989157C22semidirect
157. #17989157C22semidirect
158. #17989154C22semidirect
159. #17989152C22semidirect
160. #17989152C22semidirect
161. #17989150C22semidirect
162. #17989150C22semidirect
163. #17989147C22semidirect
164. #17989147C22semidirect
165. #17989147C22semidirect
166. #17989146C22semidirect
167. #17989145C22semidirect
168. #17989144C22semidirect
169. #17989142C22semidirect
170. #17989142C22semidirect
171. #17989136C22semidirect
172. #17989136C22semidirect
173. #17989136C22semidirect
174. #17989136C22semidirect
175. #17989136C22semidirect
176. #17989136C22semidirect
177. #17989136C22semidirect
178. #17989136C22semidirect
179. #17989136C22semidirect
180. #17989136C22semidirect
181. #17989135C22semidirect
182. #17989135C22semidirect
183. #17989135C22semidirect
184. #17989132C22semidirect
185. #17989132C22semidirect
186. C2×#14556589C22semidirect
187. C2×#14556587C22semidirect
188. #17989124C22semidirect
189. #17989123C22semidirect
190. #17989123C22semidirect
191. #17989122C22semidirect
192. #17989121C22semidirect
193. #17989120C22semidirect
194. #17989120C22semidirect
195. #17989119C22semidirect
196. #17989119C22semidirect
197. #17989119C22semidirect
198. #17989118C22semidirect
199. #17989118C22semidirect
200. #17989118C22semidirect
201. #17989117C22semidirect
202. #17989116C22semidirect
203. #17989116C22semidirect
204. #17989116C22semidirect
205. #17989116C22semidirect
206. #17989116C22semidirect
207. #17989115C22semidirect
208. #17989114C22semidirect
209. #17989114C22semidirect
210. #17989114C22semidirect
211. #17989114C22semidirect
212. #126×D73C22semidirect
213. #125×D73C22semidirect
214. C2×#14556579C22semidirect
215. #124×D73C22semidirect
216. #17989100C22semidirect
217. #17989100C22semidirect
218. #17989097C22semidirect
219. #17989097C22semidirect
220. #17989097C22semidirect
221. #17989097C22semidirect
222. #17989097C22semidirect
223. #17989097C22semidirect
224. #17989095C22semidirect
225. #17989094C22semidirect
226. #17989093C22semidirect
227. #17989093C22semidirect
228. #17989093C22semidirect
229. #17989093C22semidirect
230. #17989093C22semidirect
231. #123×D73C22semidirect
232. C22⋊Q8×D73C22semidirect
233. C2×#14556564C22semidirect
234. C2×#14556564C22semidirect
236. #41×Dic73C22semidirect
237. C4×#11924029C22semidirect
238. C4×#11924027C22semidirect
239. C4×#11924027C22semidirect
240. C4×#11924027C22semidirect
241. C4×#11924027C22semidirect
242. C4×Q8×D73C22semidirect
243. C2×D4×Dic73C22semidirect
244. C2×#14556551C22semidirect
245. C2×#14556551C22semidirect
246. C2×#14556551C22semidirect
247. C4×D4×D73C22semidirect
248. C4×D4×D73C22semidirect
249. C4×D4×D73C22semidirect
250. #117×D73C22semidirect
251. C2×C42×D73C22semidirect
252. #562×C73C22semidirect
253. H(3,𝔽4)×C73C22semidirect
254. #559×C73C22semidirect
255. #548×C73C22semidirect
256. #546×C73C22semidirect
257. #546×C73C22semidirect
258. D42×C73C22semidirect
259. #542×C73C22semidirect
260. #538×C73C22semidirect
261. #538×C73C22semidirect
262. #535×C73C22semidirect
263. #534×C73C22semidirect
264. #532×C73C22semidirect
265. #529×C73C22semidirect
266. C2×#124×C73C22semidirect
1239. #3558D73semidirect
1262. C73#62748semidirect
1278. #562C2×D73semidirect
1280. H(3,𝔽4)C2×D73semidirect
1290. #559C2×D73semidirect
1321. #548C2×D73semidirect
1342. #546C2×D73semidirect
1343. #546C2×D73semidirect
1350. D42C2×D73semidirect
1361. #542C2×D73semidirect
1390. #538C2×D73semidirect
1391. #538C2×D73semidirect
1404. #535C2×D73semidirect
1410. #534C2×D73semidirect
1429. #532C2×D73semidirect
1456. #529C2×D73semidirect
1461. C2×#124C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245172
#226245092
#226245032
#226245012
#226244762
#226244592
#226244542
#226244442
#226243992
#226243622
#226242922
#226242562
#226241682
#226241522
#226241132
#226240712
#226240682
#226235362
#226235272
#226234202
#226234152
D4×#119240272
#226233502
#226233422
#226233372
#226233182
#226232622
#226232262
C2×#179891362
#529×D732
C73×#35582
#6274873