Finite Group Databasebeta

← #33994211

Subgroups — #33994211

Order 18688.

7094 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624023C213yesmaximal, complemented
2#22624021C211yesmaximal, characteristic, complemented
3#22624012C213yesmaximal, complemented
4#22624010C211yesmaximal, characteristic, complemented
5#22623924C211yesmaximal, characteristic, complemented
6#22623920C213yesmaximal, complemented
7#22623914C213yesmaximal, complemented
8#22623792C213yesmaximal, complemented
9#22623790C213yesmaximal, complemented
10#22623738C211yesmaximal, characteristic, complemented
11#22623699C211yesmaximal, characteristic, complemented
12#22623639C213yesmaximal, complemented
13#22623635C213yesmaximal, complemented
14#22623581C211yesmaximal, characteristic, complemented
15#22623577C211yesmaximal, characteristic, complemented
16#22623551C211yesmaximal, characteristic, complemented
17#22623550C213yesmaximal, complemented
18#22623547C211yesmaximal, characteristic, complemented
19#22623545C213yesmaximal, complemented
20#22623525C213yesmaximal, complemented
21#22623521C211yesmaximal, characteristic, complemented
22#22623510C213yesmaximal, complemented
23Q8×#11924027C211yesmaximal, characteristic, complemented
24#22623363C213yesmaximal, complemented
25#22623357C213yesmaximal, complemented
26#22623225C213yesmaximal, complemented
27#22623225C213yesmaximal, complemented
28#22623142C211yesmaximal, characteristic, complemented
29#22623140C211yesmaximal, characteristic, complemented
30C2×C4×Q8×D73C211yesmaximal, characteristic, complemented
31C73×#3516C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic
33C2×#14556638C2211yescharacteristic
34C22×Q8×D73C2211yescharacteristic
35#17989321C2216yescomplemented
36#17989320C2213yescomplemented
37#17989319C2213yescomplemented
38Q8×Dic146C2211yescharacteristic, complemented
39#17989317C2213yescomplemented
40#17989315C2213yescomplemented
41#17989315C2213yescomplemented
42#17989314C2216yescomplemented
43#17989314C2213yescomplemented
44#17989314C2213yescomplemented
45#17989313C2211yescharacteristic, complemented
46#17989313C2211yescharacteristic, complemented
47#17989312C2213yescomplemented
48#17989310C2213yescomplemented
49#17989309C2213yescomplemented
50#17989308C2213yescomplemented
51#17989306C2213yescomplemented
52#17989305C2213yescomplemented
53#17989305C2216yescomplemented
54#17989304C2216yescomplemented
55#17989304C2216yescomplemented
56#17989296C2216yes—
57#17989295C2213yes—
58#17989295C2213yescomplemented
59#17989294C2213yes—
60#17989292C2213yes—
61#17989292C2213yescomplemented
62#17989291C2216yes—
63#17989291C2216yescomplemented
64#17989289C2213yes—
65#17989286C2216yes—
66#17989285C2213yes—
67#17989283C2213yes—
68#17989280C2216yes—
69#17989278C2213yes—
70#17989278C2213yescomplemented
71#17989277C2213yescomplemented
72#17989276C2213yes—
73#17989275C2213yes—
74#17989275C2213yescomplemented
75#17989273C2216yes—
76#17989273C2216yescomplemented
77#17989271C2213yes—
78#17989270C2216yescomplemented
79#17989269C2216yes—
80#17989256C2211yescharacteristic, complemented
81#17989255C2213yescomplemented
82Q8×D292C2211yescharacteristic
83D4×Dic146C2213yes—
84#17989252C2213yes—
85Q8×C22⋊D73C2211yescharacteristic
86Q8×C22⋊D73C2211yescharacteristic
87Q8×C22⋊D73C2211yescharacteristic, complemented
88#17989250C2213yes—
89#17989250C2213yes—
90#17989250C2213yescomplemented
91#17989249C2211yescharacteristic
92#17989249C2211yescharacteristic, complemented
93#17989248C2211yescharacteristic
94#17989247C2213yes—
95#17989246C2213yes—
96#17989246C2213yescomplemented
97#17989245C2213yes—
98#17989245C2213yescomplemented
99#17989244C2211yescharacteristic
100#17989243C2213yes—
101#17989242C2213yes—
102#17989240C2213yes—
103#17989239C2216yes—
104#17989238C2213yes—
105#17989237C2213yes—
106#17989235C2216yes—
107#17989217C2213yes—
108#17989214C2213yes—
109#17989209C2213yescomplemented
110#17989208C2213yescomplemented
111#17989203C2216yescomplemented
112#17989202C2213yescomplemented
113#17989201C2216yescomplemented
114#17989199C2213yescomplemented
115#17989196C2216yescomplemented
116#17989195C2213yescomplemented
117#17989195C2213yescomplemented
118#17989194C2216yescomplemented
119#17989185C2216yes—
120#17989183C2216yes—
121#17989180C2216yes—
122#17989178C2216yes—
123#17989167C2213yes—
124#17989166C2213yes—
125#17989162C2213yes—
126#17989160C2213yes—
127#17989160C2213yes—
128#17989157C2213yes—
129#17989143C2213yes—
130#17989143C2213yes—
131#17989143C2216yescomplemented
132#17989142C2213yescomplemented
133#17989142C2213yescomplemented
134#17989141C2213yes—
135#17989141C2213yes—
136#17989139C2213yes—
137#17989139C2213yes—
138#17989139C2213yescomplemented
139#17989139C2213yescomplemented
140#17989139C2216yescomplemented
141#17989136C2213yes—
142#17989136C2213yes—
143#17989134C2213yes—
144#17989134C2213yes—
145#17989132C2213yes—
146#17989132C2213yes—
147#17989123C2213yescomplemented
148#17989122C2213yes—
149#17989122C2213yes—
150#17989122C2213yescomplemented
151#17989121C2213yes—
152#17989121C2213yes—
153#17989120C2216yes—
154#17989120C2213yes—
155#17989120C2213yes—
156#17989120C2213yes—
157#17989120C2213yes—
158#17989120C2216yes—
159#17989120C2216yescomplemented
160#17989118C2213yescomplemented
161#17989116C2213yes—
162#17989116C2213yes—
163#17989116C2213yescomplemented
164#17989115C2213yes—
165#17989115C2213yes—
166#17989115C2216yes—
167#17989114C2213yes—
168#17989114C2216yes—
169#17989114C2213yes—
170#17989114C2216yescomplemented
171#17989100C2213yes—
172#17989100C2213yes—
173#17989097C2213yes—
174#17989097C2213yes—
175#17989096C2213yes—
176#17989096C2213yes—
177#17989096C2216yes—
178#17989095C2211yescharacteristic
179#17989095C2213yes—
180#17989069C2213yes—
181#17989069C2211yescharacteristic, complemented
182#17989068C2213yes—
183#17989067C2213yes—
184#17989067C2213yescomplemented
185#17989066C2213yes—
186#17989066C2213yescomplemented
187#17989064C2213yescomplemented
188#17989063C2211yescharacteristic
189#17989063C2211yescharacteristic
190#17989063C2211yescharacteristic, complemented
191#17989063C2213yescomplemented
192#41×Dic73C2211yescharacteristic, complemented
193C4×#11924029C2213yes—
194C4×#11924029C2213yes—
195C4×#11924029C2211yescharacteristic, complemented
196#17989055C2216yes—
197#17989055C2213yes—
198#17989055C2213yes—
199#17989055C2213yescomplemented
200C4×#11924027C2213yes—
201C4×#11924027C2213yes—
202C4×#11924027C2216yes—
203C4×#11924027C2213yes—
204C4×#11924027C2213yes—
205C4×#11924027C2213yescomplemented
206C2×Q8×Dic73C2211yescharacteristic
207C2×Q8×Dic73C2211yescharacteristic, complemented
208C2×C4×Dic146C2213yes—
209C2×#14556556C2213yes—
210C2×#14556556C2213yescomplemented
211C4×Q8×D73C2211yescharacteristic
212C4×Q8×D73C2213yes—
213C4×Q8×D73C2213yes—
214C4×Q8×D73C2213yes—
215C4×Q8×D73C2211yescharacteristic
216C4×Q8×D73C2213yes—
217C4×Q8×D73C2211yescharacteristic
218C4×Q8×D73C2211yescharacteristic
219C4×Q8×D73C2211yescharacteristic, complemented
220C4×Q8×D73C2213yescomplemented
221C2×C4⋊C4×D73C2213yes—
222C2×C42×D73C2213yes—
223#557×C73C2211yescharacteristic, complemented
224#556×C73C2213yescomplemented
225#554×C73C2213yes—
226#553×C73C2213yes—
227#552×C73C2213yescomplemented
228D4×Q8×C73C2211yescharacteristic
229#548×C73C2211yescharacteristic
230#548×C73C2211yescharacteristic, complemented
231#542×C73C2213yescomplemented
232#541×C73C2213yescomplemented
233#529×C73C2213yes—
234#529×C73C2213yes—
235#520×C73C2211yescharacteristic, complemented
236#519×C73C2211yescharacteristic, complemented
237C2×C4×Q8×C73C2211yescharacteristic
238#14556639—28no—
239#14556638—28no—
240C2×#11924029C2313yes—
241C2×#11924029C2311yescharacteristic
242C2×#11924029C2313yes—
243C2×#11924028C2313yes—
244C2×#11924028C2313yes—
245C2×#11924028C2313yes—
246C2×#11924028C2316yes—
247C2×#11924027C2313yes—
248C2×#11924027C2311yescharacteristic
249C2×#11924027C2313yes—
250C2×#11924027C2313yes—
251C2×#11924027C2313yes—
252C22×Dic146C2313yes—
253C22×Dic146C2313yes—
254C2×Q8×D73—28no—
255C2×Q8×D73C2313yes—
256C2×Q8×D73C2311yescharacteristic
257C2×Q8×D73C2313yes—
258C2×Q8×D73C2311yescharacteristic
259C2×Q8×D73C2313yes—
260C2×Q8×D73C2311yescharacteristic
261C22×C4×D73C2313yes—
262C22×C4×D73C2311yescharacteristic
263C22×C4×D73C2313yes—
264#14556591C2313yes—
265#14556591C2313yes—
266#14556590C2313yes—
267#14556590C2313yes—
268#14556590C2313yes—
269#14556590C2313yes—
270#14556590C2316yes—
271#14556590C2313yes—
272#14556590C2313yes—
273#14556590C2316yes—
274#14556590C2316yes—
275#14556589C2313yes—
276#14556589C2313yes—
277#14556589C2313yes—
278#14556589C2313yes—
279#14556589C2316yes—
280#14556587C2313yes—
281#14556587C2313yes—
282#14556586C2313yes—
283#14556586C2313yes—
284#14556586C2316yes—
285#14556586C2316yes—
286#14556586C2316yes—
287#14556586C2316yes—
288#14556585C2316yes—
289#14556585C2313yes—
290#14556585C2313yes—
291#14556585C2316yes—
292#14556584C2316yes—
293#14556584C2316yes—
294#14556584C2316yes—
295#14556584C2313yes—
296#14556584C2313yes—
297#14556584C2316yes—
298#14556583C2313yes—
299#14556583C2313yes—
300#14556583C2316yes—
301#14556583C2313yes—
302#14556582C2313yes—
303#14556582C2316yes—
304#14556582C2316yes—
305#14556582C2313yes—
306#14556581C2313yes—
307#14556581C2316yes—
308#14556581C2313yes—
309#14556581C2316yes—
310#14556581C2313yes—
311#14556581C2313yes—
312#14556581C2316yes—
313#14556581C2316yes—
314#14556581C2316yes—
315#14556581C2316yes—
316#14556581C2316yes—
317#14556581C2316yes—
318#14556580C2313yes—
319#14556579C2313yes—
320#14556579C2313yes—
321#14556579C2313yes—
322#14556578C2313yes—
323#14556577C2313yes—
324#14556577C2316yes—
325#14556577C2313yes—
326#14556577C2316yes—
327#14556577C2313yes—
328#14556577C2313yes—
329#14556577C2316yes—
330#14556577C2316yes—
331#14556576C2313yes—
332#14556576C2313yes—
333#14556576C2316yes—
334#14556576C2316yes—
335#14556576C2313yes—
336#14556576C2313yes—
337#14556576C2316yes—
338#14556576C2316yes—
339#14556575C2316yes—
340#14556574C2311yescharacteristic
341#14556574C2313yes—
342#14556574C2316yes—
343#14556573C2313yes—
344#14556573C2316yes—
345#14556573C2313yes—
346#14556573C2313yes—
347#14556573C2316yes—
348#14556573C2313yes—
349#14556573C2316yes—
350#14556573C2316yes—
351#14556572C2316yes—
352#14556571C2313yes—
353#14556571C2313yes—
354#14556571C2313yes—
355#14556571C2313yes—
356#14556571C2313yes—
357#14556571C2316yes—
358#14556570C2313yes—
359#14556570C2313yes—
360#14556570C2313yes—
361#14556570C2313yes—
362#14556570C2316yes—
363#14556570C2313yes—
364#14556569C2311yescharacteristic
365#14556569C2313yes—
366#14556569C2313yes—
367#14556569C2316yes—
368#14556569C2313yes—
369#14556569C2313yes—
370#14556569C2316yes—
371#14556569C2311yescharacteristic
372#14556569C2316yes—
373#14556569C2316yes—
374#14556569C2316yes—
375#14556569C2316yes—
376#14556568C2313yes—
377#14556568C2313yes—
378#14556568C2316yes—
379#14556568C2316yes—
380#14556568C2316yes—
381#14556568C2316yes—
382#14556568C2316yes—
383#14556568C2316yes—
384#14556567C2313yes—
385#14556567C2313yes—
386#14556567C2313yes—
387#14556567C2313yes—
388#14556567C2316yes—
389#14556567C2313yes—
390#14556566C2313yes—
391#14556566C2313yes—
392#14556566C2313yes—
393#14556565C2313yes—
394#14556565C2313yes—
395#14556565C2313yes—
396#14556564C2311yescharacteristic
397#14556564C2313yes—
398#14556564C2313yes—
399#14556564C2316yes—
400#14556564C2313yes—
401#14556564C2313yes—
402#14556564C2316yes—
403#14556564C2311yescharacteristic
404#14556563C2313yes—
405#14556563C2313yes—
406#14556563C2316yes—
407#14556563C2316yes—
408#14556562C2313yes—
409#14556562C2313yes—
410#14556562C2313yes—
411#14556561C2311yescharacteristic
412#14556561C2313yes—
413#14556559C2311yescharacteristic
414#14556559C2313yes—
415Q8×Dic73C2313yes—
416Q8×Dic73C2313yes—
417Q8×Dic73C2313yes—
418Q8×Dic73C2311yescharacteristic
419Q8×Dic73C2311yescharacteristic
420Q8×Dic73C2311yescharacteristic
421Q8×Dic73C2313yes—
422Q8×Dic73C2313yes—
423Q8×Dic73C2311yescharacteristic
424C4×Dic146C2313yes—
425C4×Dic146C2313yes—
426C4×Dic146C2316yes—
427C4×Dic146C2313yes—
428C4×Dic146C2313yes—
429C4×Dic146C2316yes—
430C4×Dic146C2313yes—
431C4×Dic146C2313yes—
432C4×Dic146C2313yes—
433C4×Dic146C2313yes—
434C4×Dic146C2316yes—
435C4×Dic146C2316yes—
436C4×Dic146C2313yes—
437C4×Dic146C2313yes—
438C4×Dic146C2313yes—
439#14556556C2316yes—
440#14556556C2313yes—
441#14556556C2313yes—
442#14556556C2313yes—
443#14556556C2313yes—
444#14556556C2316yes—
445#14556556C2316yes—
446#14556556C2313yes—
447#14556556C2313yes—
448#14556556C2313yes—
449#14556556C2313yes—
450#14556556C2313yes—
451#14556556C2316yes—
452#14556556C2313yes—
453#14556556C2313yes—
454#14556556C2313yes—
455#14556556C2316yes—
456#14556556C2313yes—
457#14556556C2316yes—
458#14556556C2313yes—
459#14556556C2313yes—
460C4×D292C2313yes—
461C4×D292C2313yes—
462C4×D292C2316yes—
463C4×D292C2313yes—
464C4×D292C2313yes—
465C4×D292C2313yes—
466D4×Dic73C2313yes—
467D4×Dic73C2313yes—
468D4×Dic73C2313yes—
469D4×Dic73C2316yes—
470D4×Dic73C2313yes—
471D4×Dic73C2313yes—
472#14556553C2311yescharacteristic
473#14556553C2313yes—
474#14556553C2313yes—
475#14556553C2313yes—
476#14556553C2313yes—
477#14556553C2316yes—
478#14556553C2313yes—
479#14556553C2311yescharacteristic
480#14556553C2313yes—
481#14556553C2313yes—
482C4×C22⋊D73C2313yes—
483C4×C22⋊D73C2313yes—
484C4×C22⋊D73C2316yes—
485C4×C22⋊D73C2313yes—
486C4×C22⋊D73C2313yes—
487C4×C22⋊D73C2316yes—
488C4×C22⋊D73C2316yes—
489C4×C22⋊D73C2313yes—
490C4×C22⋊D73C2313yes—
491C4×C22⋊D73C2316yes—
492#14556551C2311yescharacteristic
493#14556551C2313yes—
494#14556551C2313yes—
495#14556551C2316yes—
496#14556551C2313yes—
497#14556551C2316yes—
498#14556551C2313yes—
499#14556551C2313yes—
500#14556551C2313yes—
501#14556551C2313yes—
502#14556551C2316yes—
503#14556551C2313yes—
504#14556551C2313yes—
505#14556551C2313yes—
506#14556551C2316yes—
507#14556551C2316yes—
508#14556551C2316yes—
509#14556551C2313yes—
510#14556551C2313yes—
511#14556551C2311yescharacteristic
512#14556550C2313yes—
513#14556549C2313yes—
514#14556549C2316yes—
515#14556549C2313yes—
516#14556549C2316yes—
517#14556549C2313yes—
518#14556549C2313yes—
519#14556549C2313yes—
520#14556549C2313yes—
521#14556549C2313yes—
522#14556549C2313yes—
523#14556549C2313yes—
524#14556549C2313yes—
525#14556548C2313yes—
526#14556548C2313yes—
527#14556548C2316yes—
528#14556548C2313yes—
529#14556548C2313yes—
530#14556548C2316yes—
531#14556548C2316yes—
532#14556547C2316yes—
533#14556547C2313yes—
534#14556547C2313yes—
535#14556547C2316yes—
536#14556547C2313yes—
537#14556547C2313yes—
538#14556547C2311yescharacteristic
539#14556547C2313yes—
540#14556547C2316yes—
541C2×C4⋊Dic73C2313yes—
542C2×C4⋊Dic73C2313yes—
543C2×#11924007C2316yes—
544C2×#11924007C2316yes—
545C4⋊C4×D73C2313yes—
546C4⋊C4×D73C2316yes—
547C4⋊C4×D73C2316yes—
548C4⋊C4×D73C2313yes—
549C4⋊C4×D73C2313yes—
550C4⋊C4×D73C2316yes—
551C4⋊C4×D73C2313yes—
552C4⋊C4×D73C2313yes—
553C4⋊C4×D73C2313yes—
554C2×C4×Dic73C2313yes—
555C2×C4×Dic73C2313yes—
556C2×C4×Dic73C2313yes—
557C2×C4×Dic73C2316yes—
558C2×C4×Dic73C2313yes—
559C2×C4×Dic73C2313yes—
560C42×D73C2313yes—
561C42×D73C2313yes—
562C42×D73C2313yes—
563C42×D73C2313yes—
564C42×D73C2316yes—
565C42×D73C2313yes—
566C42×D73C2313yes—
567C42×D73C2313yes—
568C42×D73C2313yes—
569C42×D73C2313yes—
570C42×D73C2313yes—
571C2×#41×C73C2311yescharacteristic
572C22×Q8×C73C2311yescharacteristic
573C22×Q8×C73C2311yescharacteristic
574C4⋊Q8×C73C2313yes—
575C4⋊Q8×C73C2313yes—
576#126×C73C2316yes—
577#126×C73C2313yes—
578#126×C73C2313yes—
579#126×C73C2316yes—
580#125×C73C2313yes—
581#125×C73C2313yes—
582#125×C73C2313yes—
583#125×C73C2316yes—
584#124×C73C2313yes—
585#124×C73C2313yes—
586#124×C73C2313yes—
587#123×C73C2316yes—
588#123×C73C2311yescharacteristic
589#123×C73C2313yes—
590C22⋊Q8×C73C2313yes—
591C22⋊Q8×C73C2313yes—
592C22⋊Q8×C73C2313yes—
593C22⋊Q8×C73C2313yes—
594C22⋊Q8×C73C2313yes—
595C22⋊Q8×C73C2316yes—
596#121×C73C2313yes—
597#121×C73C2313yes—
598#121×C73C2313yes—
599C4×Q8×C73C2313yes—
600C4×Q8×C73C2313yes—
601C4×Q8×C73C2313yes—
602C4×Q8×C73C2311yescharacteristic
603C4×Q8×C73C2311yescharacteristic
604C4×Q8×C73C2311yescharacteristic
605C4×Q8×C73C2311yescharacteristic
606C4×Q8×C73C2313yes—
607C4×Q8×C73C2313yes—
608C4×D4×C73C2313yes—
609C4×D4×C73C2313yes—
610C4×D4×C73C2313yes—
611C4×D4×C73C2313yes—
612C4×D4×C73C2313yes—
613C4×D4×C73C2316yes—
614#117×C73C2313yes—
615#117×C73C2313yes—
616#117×C73C2313yes—
617#117×C73C2316yes—
618C2×C4⋊C4×C73C2313yes—
619C2×C4⋊C4×C73C2313yes—
620C2×C42×C73C2313yes—
621C23×D73C2411yescharacteristic
622#11924029—24no—
623#11924029—212no—
624#11924029—46no—
625#11924028—212no—
626#11924028—212no—
627#11924028—212no—
628#11924028—412no—
629#11924027—212no—
630#11924027—24no—
631#11924027—212no—
632#11924027—212no—
633#11924027—46no—
634C2×Dic146—212no—
635C2×Dic146—212no—
636C2×Dic146C2413yes—
637C2×Dic146C2411yescharacteristic
638C2×Dic146C2413yes—
639C2×Dic146C2413yes—
640C2×Dic146C2416yes—
641C2×Dic146C2413yes—
642C2×Dic146C2413yes—
643C2×Dic146C2416yes—
644C2×Dic146C2413yes—
645C2×Dic146C2413yes—
646Q8×D73—24no—
647Q8×D73—24no—
648Q8×D73—212no—
649Q8×D73—212no—
650Q8×D73—212no—
651Q8×D73#4118yescomplemented
652C2×D292C2411yescharacteristic
653C2×D292C2413yes—
654C2×D292C2413yes—
655C2×D292C2413yes—
656C2×D292C2411yescharacteristic
657C2×D292C2413yes—
658C2×C22⋊D73C2411yescharacteristic
659C2×C22⋊D73C2413yes—
660C2×C22⋊D73C2413yes—
661C2×C22⋊D73C2411yescharacteristic
662C2×C22⋊D73C2413yes—
663C2×C22⋊D73C2411yescharacteristic
664C2×C22⋊D73C2413yes—
665C2×C22⋊D73C2413yes—
666C2×C22⋊D73C2413yes—
667C2×C22⋊D73C2411yescharacteristic
668C2×C22⋊D73C2416yes—
669C22×Dic73C2413yes—
670C22×Dic73C2411yescharacteristic
671C22×Dic73C2413yes—
672C22×Dic73C2416yes—
673C22×Dic73C2413yes—
674C22×Dic73C2413yes—
675C22×Dic73C2413yes—
676C22×Dic73C2411yescharacteristic
677C2×C4×D73—24no—
678C2×C4×D73—212no—
679C2×C4×D73—46no—
680C2×C4×D73C2411yescharacteristic
681C2×C4×D73C2411yescharacteristic
682C2×C4×D73C2411yescharacteristic
683C2×C4×D73C2411yescharacteristic
684C2×C4×D73C2413yes—
685C2×C4×D73C2411yescharacteristic
686C2×C4×D73C2413yes—
687C2×C4×D73C2413yes—
688C2×C4×D73C2413yes—
689C2×C4×D73C2413yes—
690C2×C4×D73C2413yes—
691C2×C4×D73C2416yes—
692C2×C4×D73C2413yes—
693C2×C4×D73C2413yes—
694C2×C4×D73C2413yes—
695C2×C4×D73C2413yes—
696C2×C4×D73C2416yes—
697C2×C4×D73C2413yes—
698C2×C4×D73C2413yes—
699C2×C4×D73C2413yes—
700C4⋊Dic73C2413yes—
701C4⋊Dic73C2413yes—
702C4⋊Dic73C2416yes—
703C4⋊Dic73C2413yes—
704C4⋊Dic73C2416yes—
705C4⋊Dic73C2413yes—
706C4⋊Dic73C2413yes—
707C4⋊Dic73C2416yes—
708C4⋊Dic73C2413yes—
709C4⋊Dic73C2413yes—
710C4⋊Dic73C2413yes—
711C4⋊Dic73C2413yes—
712C4⋊Dic73C2413yes—
713#11924007C2416yes—
714#11924007C2416yes—
715#11924007C2416yes—
716#11924007C2416yes—
717#11924007C2413yes—
718#11924007C2413yes—
719#11924007C2416yes—
720#11924007C2413yes—
721#11924007C2413yes—
722#11924007C2411yescharacteristic
723#11924007C2413yes—
724#11924007C2413yes—
725#11924007C2413yes—
726#11924007C2411yescharacteristic
727#11924007C2413yes—
728#11924007C2413yes—
729#11924007C2416yes—
730#11924007C2413yes—
731#11924007C2413yes—
732#11924007C2411yescharacteristic
733#11924007C2413yes—
734#11924007C2413yes—
735#11924007C2413yes—
736#11924007C2413yes—
737#11924007C2416yes—
738#11924007C2413yes—
739#11924007C2411yescharacteristic
740#11924007C2416yes—
741#11924007C2416yes—
742#11924007C2416yes—
743C22⋊Dic73C2416yes—
744C22⋊Dic73C2411yescharacteristic
745C22⋊Dic73C2413yes—
746C22⋊Dic73C2413yes—
747C22⋊Dic73C2413yes—
748C22⋊Dic73C2416yes—
749C22⋊Dic73C2413yes—
750C22⋊Dic73C2413yes—
751#11924005C2411yescharacteristic
752#11924005C2411yescharacteristic
753#11924005C2411yescharacteristic
754#11924005C2413yes—
755#11924005C2413yes—
756#11924005C2413yes—
757#11924005C2413yes—
758#11924005C2413yes—
759#11924005C2413yes—
760#11924005C2413yes—
761#11924005C2416yes—
762#11924005C2413yes—
763#11924005C2416yes—
764#11924005C2411yescharacteristic
765#11924005C2411yescharacteristic
766#11924005C2411yescharacteristic
767#11924005C2416yes—
768#11924005C2413yes—
769#11924005C2413yes—
770#11924005C2413yes—
771#11924005C2413yes—
772#11924005C2416yes—
773#11924005C2413yes—
774#11924005C2413yes—
775C4×Dic73C2413yes—
776C4×Dic73C2413yes—
777C4×Dic73C2411yescharacteristic
778C4×Dic73C2413yes—
779C4×Dic73C2413yes—
780C4×Dic73C2413yes—
781C4×Dic73C2413yes—
782C4×Dic73C2413yes—
783C4×Dic73C2413yes—
784C4×Dic73C2413yes—
785C4×Dic73C2413yes—
786C4×Dic73C2413yes—
787C4×Dic73C2413yes—
788C4×Dic73C2413yes—
789C4×Dic73C2413yes—
790C4×Dic73C2413yes—
791C4×Dic73C2413yes—
792C4×Dic73C2416yes—
793C4×Dic73C2411yescharacteristic
794C4×Dic73C2413yes—
795C4×Dic73C2416yes—
796C4×Dic73C2413yes—
797C4×Dic73C2416yes—
798C4×Dic73C2413yes—
799C4×Dic73C2413yes—
800#41×C73—24no—
801C2×Q8×C73—24no—
802C2×Q8×C73—24no—
803C2×Q8×C73C2413yes—
804C2×Q8×C73C2413yes—
805C2×Q8×C73C2413yes—
806C2×Q8×C73C2411yescharacteristic
807C2×D4×C73C2411yescharacteristic
808C2×D4×C73C2413yes—
809C2×D4×C73C2413yes—
810C2×D4×C73C2413yes—
811C22×C4×C73C2411yescharacteristic
812C22×C4×C73C2413yes—
813C22×C4×C73C2413yes—
814C22×C4×C73C2413yes—
815C22×C4×C73C2413yes—
816C22×C4×C73C2416yes—
817C4⋊C4×C73C2413yes—
818C4⋊C4×C73C2413yes—
819C4⋊C4×C73C2413yes—
820C4⋊C4×C73C2413yes—
821C4⋊C4×C73C2416yes—
822C4⋊C4×C73C2411yescharacteristic
823C4⋊C4×C73C2413yes—
824C4⋊C4×C73C2413yes—
825C4⋊C4×C73C2413yes—
826C4⋊C4×C73C2413yes—
827C4⋊C4×C73C2416yes—
828C4⋊C4×C73C2413yes—
829C4⋊C4×C73C2413yes—
830C4⋊C4×C73C2416yes—
831C4⋊C4×C73C2413yes—
832C4⋊C4×C73C2411yescharacteristic
833C4⋊C4×C73C2413yes—
834C22⋊C4×C73C2413yes—
835C22⋊C4×C73C2411yescharacteristic
836C22⋊C4×C73C2413yes—
837C22⋊C4×C73C2413yes—
838C22⋊C4×C73C2413yes—
839C22⋊C4×C73C2416yes—
840C22⋊C4×C73C2411yescharacteristic
841C22⋊C4×C73C2413yes—
842C22⋊C4×C73C2411yescharacteristic
843C22⋊C4×C73C2416yes—
844C22⋊C4×C73C2413yes—
845C22⋊C4×C73C2413yes—
846C42×C73C2413yes—
847C42×C73C2413yes—
848C42×C73C2413yes—
849C42×C73C2413yes—
850C42×C73C2416yes—
851C42×C73C2413yes—
852C42×C73C2413yes—
853C23×C73C2513yes—
854C23×C73C2511yescharacteristic
855C23×C73C2511yescharacteristic
856C22×D73—22no—
857C22×D73—22no—
858C22×D73—22no—
859C22×D73C2513yes—
860C22×D73C2511yescharacteristic
861C22×D73C2511yescharacteristic
862C22×D73C2511yescharacteristic
863Q8×C73—26no—
864Q8×C73—26no—
865Q8×C73—43no—
866Q8×C73C2×#4114yes—
867D4×C73—22no—
868D4×C73—26no—
869D4×C73—26no—
870D4×C73—43no—
871C2×C4×C73—22no—
872C2×C4×C73—26no—
873C2×C4×C73—26no—
874C2×C4×C73—26no—
875C2×C4×C73—43no—
876C2×C4×C73—46no—
877C2×C4×C73C2511yescharacteristic
878C2×C4×C73C2511yescharacteristic
879C2×C4×C73C2513yes—
880C2×C4×C73C2511yescharacteristic
881C2×C4×C73C2513yes—
882C2×C4×C73C2511yescharacteristic
883C2×C4×C73C2513yes—
884C2×C4×C73C2513yes—
885C2×C4×C73C2513yes—
886C2×C4×C73C2513yes—
887C2×C4×C73C2511yescharacteristic
888C2×C4×C73C2513yes—
889C22⋊D73—26no—
890C22⋊D73—22no—
891C22⋊D73—26no—
892C22⋊D73—22no—
893C22⋊D73—22no—
894C22⋊D73—26no—
895C22⋊D73—26no—
896C22⋊D73—26no—
897C22⋊D73—26no—
898C22⋊D73—22no—
899C22⋊D73—46no—
900C2×Dic73—26no—
901C2×Dic73—212no—
902C2×Dic73—26no—
903C2×Dic73—22no—
904C2×Dic73—43no—
905C2×Dic73—43no—
906C2×Dic73—43no—
907C2×Dic732−1+414yescomplemented
908C2×Dic73C2513yes—
909C2×Dic73C2511yescharacteristic
910C2×Dic73C2513yes—
911C2×Dic73C2511yescharacteristic
912C2×Dic73C2513yes—
913C2×Dic73C2513yes—
914C2×Dic73C2513yes—
915C2×Dic73C2511yescharacteristic
916C2×Dic73C2513yes—
917C2×Dic73C2513yes—
918C2×Dic73C2511yescharacteristic
919C2×Dic73C2511yescharacteristic
920D292—22no—
921D292—26no—
922D292—26no—
923D292—22no—
924D292—26no—
925D292—43no—
926C4×D73—26no—
927C4×D73—26no—
928C4×D73—26no—
929C4×D73—26no—
930C4×D73—26no—
931C4×D73—26no—
932C4×D73—26no—
933C4×D73—212no—
934C4×D73—22no—
935C4×D73—22no—
936C4×D73—22no—
937C4×D73—22no—
938C4×D73—26no—
939C4×D73—22no—
940C4×D73—43no—
941C4×D73—43no—
942C4×D73—46no—
943C4×D73—43no—
944C4×D73—43no—
945C4×D73C2×#41112yes—
946Dic146—26no—
947Dic146—26no—
948Dic146—212no—
949Dic146—26no—
950Dic146—26no—
951Dic146—22no—
952Dic146—26no—
953Dic146—43no—
954Dic146—46no—
955Dic146C2×#41112yes—
956C22×C73—21no—
957C22×C73—21no—
958C22×C73—23no—
959C22×C73—21no—
960C22×C73—23no—
961C22×C73—21no—
962C22×C73—21no—
963C22×C73—23no—
964C22×C73C2×2−1+412yes—
965C22×C73C2611yescharacteristic
966C2×D73—28no—
967C2×D73—21no—
968C2×D73—21no—
969C2×D73—21no—
970C2×D73—21no—
971C2×D73—23no—
972C2×D73—21no—
973C2×D73—23no—
974C2×D73—21no—
975C2×D73—21no—
976C2×D73—23no—
977C2×D73C22×#4112yes—
978C2×D73#58512yes—
979C4×C73—21no—
980C4×C73—23no—
981C4×C73—23no—
982C4×C73—23no—
983C4×C73—21no—
984C4×C73—21no—
985C4×C73—21no—
986C4×C73—23no—
987C4×C73—23no—
988C4×C73—23no—
989C4×C73—21no—
990C4×C73C22×#4116yes—
991Dic73—23no—
992Dic73—21no—
993Dic73—23no—
994Dic73—21no—
995Dic73—23no—
996Dic73—23no—
997Dic73—21no—
998Dic73—23no—
999Dic73—23no—
1000Dic73C22×#4116yes—
1001Dic73C2×2−1+412yes—
1002Dic73C2×2−1+412yes—
1003#62788—731nomaximal, Sylow
1004C2×C73—22no—
1005C2×C73—43no—
1006C2×C73—41no—
1007C2×C73C23×#4111yescharacteristic
1008C2×C73C22×2−1+411yescharacteristic
1009C2×C73C2×#58511yescharacteristic
1010D73—22no—
1011D73—22no—
1012D73—43no—
1013D73—41no—
1014#3523—733no—
1015#3523—731no—
1016#3522—733no—
1017#3522—731no—
1018#3516—733no—
1019#3516—733no—
1020#3516—731no—
1021#3516D7311yescharacteristic, complemented
1022#3507—733no—
1023#3507—733no—
1024#3502—731no—
1025#3497—731no—
1026#3492—733no—
1027#3492—733no—
1028#3486—731no—
1029#3486—731no—
1030#3482—731no—
1031#3482—733no—
1032#3482—733no—
1033#3482—731no—
1034#3480—733no—
1035#3480—731no—
1036Q8×#41—733no—
1037Q8×#41—731no—
1038#3461—733no—
1039#3461—733no—
1040#3444—733no—
1041#3444—733no—
1042C4×2−1+4—731no—
1043C4×2−1+4—731no—
1044C22×C4×Q8—731no—
1045C73#6278811yescharacteristic, complemented, Sylow
1046C2×2−1+4—731no—
1047C2×2−1+4—731no—
1048C23×Q8—731no—
1049#559—733no—
1050#559—736no—
1051#559—733no—
1052Q82—733no—
1053Q82—731no—
1054#557—733no—
1055#557—736no—
1056#557—733no—
1057#557—733no—
1058#557—733no—
1059#557—731no—
1060#557—731no—
1061#557—733no—
1062#557C2×D7311yescharacteristic, complemented
1063#556—736no—
1064#556—736no—
1065#556—733no—
1066#556—733no—
1067#556—733no—
1068#556—733no—
1069#556—733no—
1070#556—736no—
1071#556C2×D7313yescomplemented
1072#554—736no—
1073#554—733no—
1074#554—736no—
1075#554—733no—
1076#554—733no—
1077#554—736no—
1078#554—733no—
1079#554—733no—
1080#554C2×D7313yes—
1081#553—736no—
1082#553—733no—
1083#553—733no—
1084#553—736no—
1085#553—733no—
1086#553C2×D7313yes—
1087#552—736no—
1088#552—736no—
1089#552—736no—
1090#552—733no—
1091#552—733no—
1092#552—733no—
1093#552—733no—
1094#552—733no—
1095#552—733no—
1096#552—736no—
1097#552—733no—
1098#552C2×D7313yescomplemented
1099#550—731no—
1100#550—733no—
1101D4×Q8—731no—
1102D4×Q8—731no—
1103D4×Q8—731no—
1104D4×Q8—733no—
1105D4×Q8—733no—
1106D4×Q8—733no—
1107D4×Q8—733no—
1108D4×Q8—731no—
1109D4×Q8—733no—
1110D4×Q8C2×D7311yescharacteristic
1111#548—731no—
1112#548—731no—
1113#548—733no—
1114#548—733no—
1115#548—733no—
1116#548—733no—
1117#548—731no—
1118#548—731no—
1119#548—733no—
1120#548—733no—
1121#548C2×D7311yescharacteristic
1122#548C2×D7311yescharacteristic, complemented
1123#547—733no—
1124#547—736no—
1125#547—736no—
1126#547—733no—
1127#547—733no—
1128#547—733no—
1129#544—733no—
1130#544—733no—
1131#542—736no—
1132#542—736no—
1133#542—733no—
1134#542—733no—
1135#542—733no—
1136#542C2×D7313yescomplemented
1137#541—736no—
1138#541—736no—
1139#541—733no—
1140#541—733no—
1141#541—733no—
1142#541C2×D7313yescomplemented
1143#539—736no—
1144#539—736no—
1145#539—736no—
1146#539—736no—
1147#537—733no—
1148#537—733no—
1149#536—733no—
1150#536—733no—
1151#536—733no—
1152#536—733no—
1153#533—733no—
1154#533—733no—
1155#533—733no—
1156#533—733no—
1157#533—736no—
1158#533—733no—
1159#533—733no—
1160#533—733no—
1161#533—733no—
1162#533—736no—
1163#533—733no—
1164#533—733no—
1165#532—733no—
1166#532—733no—
1167#532—733no—
1168#532—733no—
1169#532—733no—
1170#532—733no—
1171#529—736no—
1172#529—733no—
1173#529—733no—
1174#529—733no—
1175#529—733no—
1176#529—736no—
1177#529—736no—
1178#529—733no—
1179#529—733no—
1180#529—733no—
1181#529—733no—
1182#529—733no—
1183#529—733no—
1184#529—736no—
1185#529—733no—
1186#529—733no—
1187#529—736no—
1188#529—733no—
1189#529—733no—
1190#529—736no—
1191#529—733no—
1192#529—733no—
1193#529—733no—
1194#529—733no—
1195#529C2×D7313yes—
1196#529C2×D7313yes—
1197#525—731no—
1198#525—733no—
1199#525—733no—
1200#525—733no—
1201#525—733no—
1202#525—733no—
1203#525—733no—
1204#525—733no—
1205#525—736no—
1206#520—733no—
1207#520—731no—
1208#520—733no—
1209#520—733no—
1210#520—733no—
1211#520—733no—
1212#520—733no—
1213#520C2×D7311yescharacteristic, complemented
1214#519—731no—
1215#519—731no—
1216#519—733no—
1217#519—731no—
1218#519—733no—
1219#519C2×D7311yescharacteristic, complemented
1220C4×#41—731no—
1221C4×#41—733no—
1222C4×#41—731no—
1223C4×#41—733no—
1224C4×#41—733no—
1225C4×#41—733no—
1226C4×#41—736no—
1227C4×#41—733no—
1228C4×#41—733no—
1229C4×#41—733no—
1230C4×#41—733no—
1231C4×#41—733no—
1232C4×#41—733no—
1233C4×#41—736no—
1234C2×C4×Q8—731no—
1235C2×C4×Q8—731no—
1236C2×C4×Q8—731no—
1237C2×C4×Q8—733no—
1238C2×C4×Q8—731no—
1239C2×C4×Q8—733no—
1240C2×C4×Q8—731no—
1241C2×C4×Q8—733no—
1242C2×C4×Q8—731no—
1243C2×C4×Q8—733no—
1244C2×C4×Q8—731no—
1245C2×C4×Q8—733no—
1246C2×C4×Q8—733no—
1247C2×C4×Q8—733no—
1248C2×C4×Q8—733no—
1249C2×C4×Q8C2×D7311yescharacteristic
1250C22×C4⋊C4—733no—
1251C22×C42—733no—
12522−1+4—1468no—
12532−1+4—1468no—
1254C2×#41—733no—
1255C2×#41—733no—
1256C2×#41—731no—
1257C2×#41—733no—
1258C2×#41—733no—
1259C2×#41—731no—
1260C2×#41—733no—
1261C2×#41—733no—
1262C2×#41—736no—
1263C2×#41—733no—
1264C2×#41—733no—
1265C2×#41—733no—
1266C2×#41C22×D7311yescharacteristic
1267C22×Q8—731no—
1268C22×Q8—733no—
1269C22×Q8—733no—
1270C22×Q8—731no—
1271C22×Q8—733no—
1272C22×Q8—731no—
1273C22×Q8—733no—
1274C22×Q8—733no—
1275C22×Q8—1468no—
1276C22×Q8C22×D7311yescharacteristic
1277C22×Q8C22×D7311yescharacteristic
1278C23×C4—733no—
1279C23×C4—733no—
1280C23×C4—731no—
1281C4⋊Q8—733no—
1282C4⋊Q8—733no—
1283C4⋊Q8—733no—
1284C4⋊Q8—733no—
1285C4⋊Q8—736no—
1286C4⋊Q8—733no—
1287C4⋊Q8—733no—
1288C4⋊Q8—733no—
1289C4⋊Q8—733no—
1290C4⋊Q8—736no—
1291C4⋊Q8—736no—
1292C4⋊Q8—736no—
1293C4⋊Q8—733no—
1294C4⋊Q8—733no—
1295C4⋊Q8—733no—
1296C4⋊Q8—733no—
1297C4⋊Q8C22×D7313yes—
1298C4⋊Q8C22×D7313yes—
1299#127—733no—
1300#127—733no—
1301#126—733no—
1302#126—733no—
1303#126—736no—
1304#126—736no—
1305#126—736no—
1306#126—736no—
1307#126—733no—
1308#126—733no—
1309#126—736no—
1310#126—736no—
1311#126—736no—
1312#126—736no—
1313#126—736no—
1314#126—733no—
1315#126—733no—
1316#126—736no—
1317#126C22×D7316yes—
1318#126C22×D7313yes—
1319#126C22×D7313yes—
1320#126C22×D7316yes—
1321#125—736no—
1322#125—733no—
1323#125—733no—
1324#125—736no—
1325#125—733no—
1326#125—733no—
1327#125—736no—
1328#125—736no—
1329#125—733no—
1330#125—733no—
1331#125—736no—
1332#125—736no—
1333#125—736no—
1334#125—736no—
1335#125—736no—
1336#125—736no—
1337#125—733no—
1338#125—733no—
1339#125—733no—
1340#125—736no—
1341#125C22×D7313yes—
1342#125C22×D7313yes—
1343#125C22×D7313yes—
1344#125C22×D7316yes—
1345#124—733no—
1346#124—733no—
1347#124—736no—
1348#124—733no—
1349#124—733no—
1350#124—736no—
1351#124—733no—
1352#124—733no—
1353#124—736no—
1354#124—736no—
1355#124—733no—
1356#124—733no—
1357#124—733no—
1358#124C22×D7313yes—
1359#124C22×D7313yes—
1360#124C22×D7313yes—
1361#123—736no—
1362#123—733no—
1363#123—731no—
1364#123—736no—
1365#123—733no—
1366#123—733no—
1367#123—736no—
1368#123—736no—
1369#123—733no—
1370#123—733no—
1371#123—736no—
1372#123—736no—
1373#123—736no—
1374#123—733no—
1375#123—733no—
1376#123—736no—
1377#123—733no—
1378#123—733no—
1379#123—736no—
1380#123—736no—
1381#123—736no—
1382#123C22×D7311yescharacteristic
1383#123C22×D7313yes—
1384#123C22×D7316yes—
1385C22⋊Q8—733no—
1386C22⋊Q8—733no—
1387C22⋊Q8—733no—
1388C22⋊Q8—733no—
1389C22⋊Q8—733no—
1390C22⋊Q8—736no—
1391C22⋊Q8—733no—
1392C22⋊Q8—733no—
1393C22⋊Q8—733no—
1394C22⋊Q8—733no—
1395C22⋊Q8—733no—
1396C22⋊Q8—736no—
1397C22⋊Q8—731no—
1398C22⋊Q8—733no—
1399C22⋊Q8—733no—
1400C22⋊Q8—731no—
1401C22⋊Q8—736no—
1402C22⋊Q8—733no—
1403C22⋊Q8—733no—
1404C22⋊Q8—733no—
1405C22⋊Q8—733no—
1406C22⋊Q8—736no—
1407C22⋊Q8—733no—
1408C22⋊Q8—736no—
1409C22⋊Q8—733no—
1410C22⋊Q8—736no—
1411C22⋊Q8—733no—
1412C22⋊Q8—736no—
1413C22⋊Q8—736no—
1414C22⋊Q8—736no—
1415C22⋊Q8—733no—
1416C22⋊Q8—733no—
1417C22⋊Q8—736no—
1418C22⋊Q8—736no—
1419C22⋊Q8—736no—
1420C22⋊Q8—736no—
1421C22⋊Q8—736no—
1422C22⋊Q8—736no—
1423C22⋊Q8C22×D7313yes—
1424C22⋊Q8C22×D7313yes—
1425C22⋊Q8C22×D7313yes—
1426C22⋊Q8C22×D7313yes—
1427C22⋊Q8C22×D7313yes—
1428C22⋊Q8C22×D7316yes—
1429#121—733no—
1430#121—733no—
1431#121—733no—
1432#121—733no—
1433#121—736no—
1434#121—733no—
1435#121—736no—
1436#121—733no—
1437#121—733no—
1438#121—733no—
1439#121—733no—
1440#121—733no—
1441#121—733no—
1442#121—731no—
1443#121—733no—
1444#121—733no—
1445#121—731no—
1446#121—736no—
1447#121—733no—
1448#121—733no—
1449#121—736no—
1450#121C22×D7313yes—
1451#121C22×D7313yes—
1452#121C22×D7313yes—
1453#120—733no—
1454#120—731no—
1455#120—733no—
1456#120—731no—
1457C4×Q8—731no—
1458C4×Q8—733no—
1459C4×Q8—731no—
1460C4×Q8—733no—
1461C4×Q8—733no—
1462C4×Q8—731no—
1463C4×Q8—733no—
1464C4×Q8—731no—
1465C4×Q8—733no—
1466C4×Q8—733no—
1467C4×Q8—736no—
1468C4×Q8—733no—
1469C4×Q8—733no—
1470C4×Q8—736no—
1471C4×Q8—733no—
1472C4×Q8—733no—
1473C4×Q8—733no—
1474C4×Q8—733no—
1475C4×Q8—733no—
1476C4×Q8—736no—
1477C4×Q8—733no—
1478C4×Q8—733no—
1479C4×Q8—733no—
1480C4×Q8—733no—
1481C4×Q8—736no—
1482C4×Q8—733no—
1483C4×Q8—733no—
1484C4×Q8—733no—
1485C4×Q8—736no—
1486C4×Q8—736no—
1487C4×Q8—733no—
1488C4×Q8—736no—
1489C4×Q8—733no—
1490C4×Q8—733no—
1491C4×Q8—733no—
1492C4×Q8—736no—
1493C4×Q8—733no—
1494C4×Q8—733no—
1495C4×Q8—736no—
1496C4×Q8—733no—
1497C4×Q8—733no—
1498C4×Q8—736no—
1499C4×Q8—733no—
1500C4×Q8—733no—
1501C4×Q8—733no—
1502C4×Q8C22×D7311yescharacteristic
1503C4×Q8C22×D7313yes—
1504C4×Q8C22×D7311yescharacteristic
1505C4×Q8C22×D7313yes—
1506C4×Q8C22×D7311yescharacteristic
1507C4×Q8C22×D7313yes—
1508C4×Q8C22×D7313yes—
1509C4×Q8C22×D7311yescharacteristic
1510C4×Q8C22×D7313yes—
1511C4×D4—733no—
1512C4×D4—733no—
1513C4×D4—736no—
1514C4×D4—733no—
1515C4×D4—733no—
1516C4×D4—733no—
1517C4×D4—736no—
1518C4×D4—736no—
1519C4×D4—733no—
1520C4×D4—733no—
1521C4×D4—733no—
1522C4×D4—733no—
1523C4×D4—736no—
1524C4×D4—733no—
1525C4×D4—733no—
1526C4×D4—736no—
1527C4×D4—731no—
1528C4×D4—733no—
1529C4×D4—733no—
1530C4×D4—731no—
1531C4×D4—733no—
1532C4×D4—733no—
1533C4×D4—733no—
1534C4×D4—733no—
1535C4×D4—736no—
1536C4×D4—733no—
1537C4×D4—731no—
1538C4×D4—733no—
1539C4×D4—733no—
1540C4×D4—731no—
1541C4×D4—733no—
1542C4×D4—733no—
1543C4×D4—733no—
1544C4×D4—733no—
1545C4×D4—733no—
1546C4×D4—733no—
1547C4×D4—736no—
1548C4×D4—736no—
1549C4×D4—736no—
1550C4×D4—733no—
1551C4×D4—733no—
1552C4×D4—736no—
1553C4×D4—736no—
1554C4×D4—736no—
1555C4×D4—733no—
1556C4×D4—733no—
1557C4×D4—736no—
1558C4×D4—733no—
1559C4×D4—733no—
1560C4×D4—733no—
1561C4×D4—733no—
1562C4×D4—733no—
1563C4×D4C22×D7313yes—
1564C4×D4C22×D7313yes—
1565C4×D4C22×D7313yes—
1566C4×D4C22×D7313yes—
1567C4×D4C22×D7316yes—
1568C4×D4C22×D7313yes—
1569#117—733no—
1570#117—733no—
1571#117—733no—
1572#117—736no—
1573#117—733no—
1574#117—733no—
1575#117—733no—
1576#117—733no—
1577#117—736no—
1578#117—733no—
1579#117—733no—
1580#117—733no—
1581#117—733no—
1582#117—731no—
1583#117—733no—
1584#117—736no—
1585#117—736no—
1586#117—733no—
1587#117—733no—
1588#117—736no—
1589#117—733no—
1590#117—733no—
1591#117—733no—
1592#117—733no—
1593#117—733no—
1594#117—733no—
1595#117—736no—
1596#117—736no—
1597#117—736no—
1598#117C22×D7313yes—
1599#117C22×D7313yes—
1600#117C22×D7313yes—
1601#117C22×D7316yes—
1602C2×C4⋊C4—736no—
1603C2×C4⋊C4—733no—
1604C2×C4⋊C4—736no—
1605C2×C4⋊C4—733no—
1606C2×C4⋊C4—733no—
1607C2×C4⋊C4—733no—
1608C2×C4⋊C4—736no—
1609C2×C4⋊C4—736no—
1610C2×C4⋊C4—733no—
1611C2×C4⋊C4—733no—
1612C2×C4⋊C4—736no—
1613C2×C4⋊C4—733no—
1614C2×C4⋊C4—733no—
1615C2×C4⋊C4C22×D7313yes—
1616C2×C4⋊C4C22×D7313yes—
1617C2×C42—733no—
1618C2×C42—733no—
1619C2×C42—733no—
1620C2×C42—733no—
1621C2×C42—733no—
1622C2×C42—736no—
1623C2×C42—733no—
1624C2×C42—733no—
1625C2×C42—733no—
1626C2×C42—733no—
1627C2×C42—733no—
1628C2×C42—733no—
1629C2×C42—733no—
1630C2×C42—733no—
1631C2×C42—733no—
1632C2×C42—733no—
1633C2×C42—736no—
1634C2×C42C22×D7313yes—
1635C24—731no—
1636#41—24no—
1637#41—29212no—
1638#41—2926no—
1639#41—2926no—
1640#41—14612no—
1641#41—14612no—
1642#41—14612no—
1643#41—14612no—
1644#41—1464no—
1645#41—14612no—
1646#41—14612no—
1647#41—14612no—
1648#41—1464no—
1649C2×Q8—24no—
1650C2×Q8—24no—
1651C2×Q8—738no—
1652C2×Q8—733no—
1653C2×Q8—736no—
1654C2×Q8—733no—
1655C2×Q8—731no—
1656C2×Q8—733no—
1657C2×Q8—736no—
1658C2×Q8—733no—
1659C2×Q8—733no—
1660C2×Q8—733no—
1661C2×Q8—733no—
1662C2×Q8—14612no—
1663C2×Q8—14612no—
1664C2×Q8—14612no—
1665C2×Q8—14612no—
1666C2×Q8—14612no—
1667C2×Q8—1464no—
1668C2×Q8—1464no—
1669C2×Q8C23×D7313yes—
1670C2×Q8C23×D7313yes—
1671C2×Q8C23×D7313yes—
1672C2×Q8C23×D7311yescharacteristic
1673C2×D4—736no—
1674C2×D4—731no—
1675C2×D4—733no—
1676C2×D4—731no—
1677C2×D4—733no—
1678C2×D4—733no—
1679C2×D4—731no—
1680C2×D4—731no—
1681C2×D4—733no—
1682C2×D4—733no—
1683C2×D4—733no—
1684C2×D4—733no—
1685C2×D4—731no—
1686C2×D4—733no—
1687C2×D4—733no—
1688C2×D4—731no—
1689C2×D4—733no—
1690C2×D4C23×D7313yes—
1691C2×D4C23×D7311yescharacteristic
1692C2×D4C23×D7313yes—
1693C2×D4C23×D7313yes—
1694C22×C4—2926no—
1695C22×C4—733no—
1696C22×C4—733no—
1697C22×C4—733no—
1698C22×C4—733no—
1699C22×C4—733no—
1700C22×C4—733no—
1701C22×C4—733no—
1702C22×C4—736no—
1703C22×C4—731no—
1704C22×C4—733no—
1705C22×C4—733no—
1706C22×C4—731no—
1707C22×C4—733no—
1708C22×C4—736no—
1709C22×C4—731no—
1710C22×C4—731no—
1711C22×C4—731no—
1712C22×C4—731no—
1713C22×C4—733no—
1714C22×C4—731no—
1715C22×C4—733no—
1716C22×C4—733no—
1717C22×C4—733no—
1718C22×C4—733no—
1719C22×C4—733no—
1720C22×C4—736no—
1721C22×C4—733no—
1722C22×C4—733no—
1723C22×C4—1464no—
1724C22×C4—14612no—
1725C22×C4C23×D7311yescharacteristic
1726C22×C4C23×D7313yes—
1727C22×C4C23×D7313yes—
1728C22×C4C23×D7313yes—
1729C22×C4C23×D7313yes—
1730C22×C4C23×D7316yes—
1731C4⋊C4—736no—
1732C4⋊C4—736no—
1733C4⋊C4—736no—
1734C4⋊C4—736no—
1735C4⋊C4—733no—
1736C4⋊C4—733no—
1737C4⋊C4—736no—
1738C4⋊C4—733no—
1739C4⋊C4—733no—
1740C4⋊C4—733no—
1741C4⋊C4—733no—
1742C4⋊C4—731no—
1743C4⋊C4—733no—
1744C4⋊C4—733no—
1745C4⋊C4—731no—
1746C4⋊C4—731no—
1747C4⋊C4—733no—
1748C4⋊C4—733no—
1749C4⋊C4—731no—
1750C4⋊C4—736no—
1751C4⋊C4—736no—
1752C4⋊C4—733no—
1753C4⋊C4—733no—
1754C4⋊C4—736no—
1755C4⋊C4—736no—
1756C4⋊C4—733no—
1757C4⋊C4—733no—
1758C4⋊C4—736no—
1759C4⋊C4—733no—
1760C4⋊C4—733no—
1761C4⋊C4—733no—
1762C4⋊C4—733no—
1763C4⋊C4—736no—
1764C4⋊C4—733no—
1765C4⋊C4—736no—
1766C4⋊C4—733no—
1767C4⋊C4—733no—
1768C4⋊C4—733no—
1769C4⋊C4—733no—
1770C4⋊C4—733no—
1771C4⋊C4—736no—
1772C4⋊C4—733no—
1773C4⋊C4—733no—
1774C4⋊C4C23×D7313yes—
1775C4⋊C4C23×D7313yes—
1776C4⋊C4C23×D7316yes—
1777C4⋊C4C23×D7313yes—
1778C4⋊C4C23×D7313yes—
1779C4⋊C4C23×D7313yes—
1780C4⋊C4C23×D7311yescharacteristic
1781C4⋊C4C23×D7313yes—
1782C4⋊C4C23×D7313yes—
1783C4⋊C4C23×D7313yes—
1784C4⋊C4C23×D7313yes—
1785C4⋊C4C23×D7313yes—
1786C4⋊C4C23×D7313yes—
1787C4⋊C4C23×D7313yes—
1788C4⋊C4C23×D7316yes—
1789C4⋊C4C23×D7311yescharacteristic
1790C4⋊C4C23×D7316yes—
1791C22⋊C4—736no—
1792C22⋊C4—733no—
1793C22⋊C4—731no—
1794C22⋊C4—733no—
1795C22⋊C4—733no—
1796C22⋊C4—736no—
1797C22⋊C4—733no—
1798C22⋊C4—733no—
1799C22⋊C4—731no—
1800C22⋊C4—733no—
1801C22⋊C4—733no—
1802C22⋊C4—731no—
1803C22⋊C4—731no—
1804C22⋊C4—733no—
1805C22⋊C4—733no—
1806C22⋊C4—731no—
1807C22⋊C4—736no—
1808C22⋊C4—733no—
1809C22⋊C4—733no—
1810C22⋊C4—731no—
1811C22⋊C4—733no—
1812C22⋊C4—733no—
1813C22⋊C4—731no—
1814C22⋊C4—736no—
1815C22⋊C4—733no—
1816C22⋊C4—733no—
1817C22⋊C4—736no—
1818C22⋊C4—733no—
1819C22⋊C4—733no—
1820C22⋊C4—736no—
1821C22⋊C4—733no—
1822C22⋊C4—733no—
1823C22⋊C4C23×D7311yescharacteristic
1824C22⋊C4C23×D7313yes—
1825C22⋊C4C23×D7313yes—
1826C22⋊C4C23×D7313yes—
1827C22⋊C4C23×D7311yescharacteristic
1828C22⋊C4C23×D7313yes—
1829C22⋊C4C23×D7316yes—
1830C22⋊C4C23×D7313yes—
1831C22⋊C4C23×D7313yes—
1832C22⋊C4C23×D7311yescharacteristic
1833C22⋊C4C23×D7313yes—
1834C22⋊C4C23×D7316yes—
1835C42—733no—
1836C42—733no—
1837C42—733no—
1838C42—731no—
1839C42—733no—
1840C42—733no—
1841C42—731no—
1842C42—733no—
1843C42—733no—
1844C42—733no—
1845C42—733no—
1846C42—733no—
1847C42—733no—
1848C42—733no—
1849C42—733no—
1850C42—733no—
1851C42—733no—
1852C42—733no—
1853C42—733no—
1854C42—733no—
1855C42—736no—
1856C42—736no—
1857C42—736no—
1858C42—733no—
1859C42—733no—
1860C42C23×D7313yes—
1861C42C23×D7313yes—
1862C42C23×D7313yes—
1863C42C23×D7313yes—
1864C42C23×D7316yes—
1865C42C23×D7313yes—
1866C42C23×D7313yes—
1867C23—731no—
1868C23—731no—
1869C23—733no—
1870C23—731no—
1871C23—1462no—
1872C23—1462no—
1873C23—1462no—
1874C23C24×D7311yescharacteristic
1875C23C24×D7313yes—
1876C23C24×D7311yescharacteristic
1877Q8—26no—
1878Q8—26no—
1879Q8—43no—
1880Q8—2926no—
1881Q8—2923no—
1882Q8—7312no—
1883Q8—14612no—
1884Q8—1466no—
1885Q8—1466no—
1886Q8—1462no—
1887Q8—1466no—
1888Q8—1466no—
1889Q8—1466no—
1890Q8#41×D7314yes—
1891D4—26no—
1892D4—22no—
1893D4—26no—
1894D4—43no—
1895D4—2923no—
1896D4—2926no—
1897D4—1466no—
1898D4—1462no—
1899D4—1462no—
1900D4—1466no—
1901D4—1466no—
1902D4—1466no—
1903D4—1462no—
1904D4—1466no—
1905D4—1466no—
1906D4—1462no—
1907D4—1462no—
1908D4—1466no—
1909D4—1462no—
1910D4—1466no—
1911D4—1466no—
1912C2×C4—22no—
1913C2×C4—26no—
1914C2×C4—26no—
1915C2×C4—26no—
1916C2×C4—43no—
1917C2×C4—46no—
1918C2×C4—2923no—
1919C2×C4—2923no—
1920C2×C4—2926no—
1921C2×C4—2923no—
1922C2×C4—2923no—
1923C2×C4—2923no—
1924C2×C4—2923no—
1925C2×C4—2923no—
1926C2×C4—734no—
1927C2×C4—731no—
1928C2×C4—731no—
1929C2×C4—733no—
1930C2×C4—7312no—
1931C2×C4—733no—
1932C2×C4—733no—
1933C2×C4—731no—
1934C2×C4—733no—
1935C2×C4—731no—
1936C2×C4—733no—
1937C2×C4—733no—
1938C2×C4—731no—
1939C2×C4—733no—
1940C2×C4—1466no—
1941C2×C4—1462no—
1942C2×C4—1462no—
1943C2×C4—1462no—
1944C2×C4—1462no—
1945C2×C4—14612no—
1946C2×C4—1466no—
1947C2×C4—1462no—
1948C2×C4—1466no—
1949C2×C4—1466no—
1950C2×C4—1466no—
1951C2×C4—1466no—
1952C2×C4—14612no—
1953C2×C4—1466no—
1954C2×C4—1462no—
1955C2×C4—1466no—
1956C2×C4—1466no—
1957C2×C4—1466no—
1958C2×C4C24×D7311yescharacteristic
1959C2×C4C24×D7311yescharacteristic
1960C2×C4C24×D7313yes—
1961C2×C4C24×D7311yescharacteristic
1962C2×C4C24×D7311yescharacteristic
1963C2×C4C24×D7313yes—
1964C2×C4C24×D7313yes—
1965C2×C4C24×D7313yes—
1966C2×C4C24×D7313yes—
1967C2×C4C24×D7313yes—
1968C2×C4C24×D7311yescharacteristic
1969C2×C4C24×D7313yes—
1970C22—21no—
1971C22—21no—
1972C22—21no—
1973C22—23no—
1974C22—21no—
1975C22—23no—
1976C22—23no—
1977C22—21no—
1978C22—732no—
1979C22—732no—
1980C22—1468no—
1981C22—1463no—
1982C22—1461no—
1983C22—1463no—
1984C22—1461no—
1985C22—1461no—
1986C22—1463no—
1987C22—1461no—
1988C22—1461no—
1989C22—1461no—
1990C22—1461no—
1991C222−1+4×D7312yes—
1992C22C25×D7311yescharacteristic
1993C4—21no—
1994C4—23no—
1995C4—23no—
1996C4—21no—
1997C4—21no—
1998C4—21no—
1999C4—23no—
2000C4—23no—
2001C4—23no—
2002C4—23no—
2003C4—21no—
2004C4—736no—
2005C4—732no—
2006C4—732no—
2007C4—1463no—
2008C4—1461no—
2009C4—1463no—
2010C4—1463no—
2011C4—1461no—
2012C4—1463no—
2013C4—1463no—
2014C4—1461no—
2015C4—1463no—
2016C4C2×#41×D7316yes—
2017C2—22no—
2018C2—41no—
2019C2—43no—
2020C2—2923no—
2021C2—2921no—
2022C2—1462no—
2023C2—1462no—
2024C2C22×#41×D7311yescharacteristic
2025C2C2×2−1+4×D7311yescharacteristic
2026C2#585×D7311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3516C2
hypercenter#3516D73
hypocenterC73#62788
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #22624023C2semidirect
2. #22624021C2semidirect
3. #22624012C2semidirect
4. #22624010C2semidirect
5. #22623924C2semidirect
6. #22623920C2semidirect
7. #22623914C2semidirect
8. #22623792C2semidirect
9. #22623790C2semidirect
10. #22623738C2semidirect
11. #22623699C2semidirect
12. #22623639C2semidirect
13. #22623635C2semidirect
14. #22623581C2semidirect
15. #22623577C2semidirect
16. #22623551C2semidirect
17. #22623550C2semidirect
18. #22623547C2semidirect
19. #22623545C2semidirect
20. #22623525C2semidirect
21. #22623521C2semidirect
22. #22623510C2semidirect
23. Q8×#11924027C2semidirect
24. #22623363C2semidirect
25. #22623357C2semidirect
26. #22623225C2semidirect
27. #22623225C2semidirect
28. #22623142C2semidirect
29. #22623140C2semidirect
30. C2×C4×Q8×D73C2semidirect
31. C73×#3516C2semidirect
35. #17989321C22semidirect
36. #17989320C22semidirect
37. #17989319C22semidirect
38. Q8×Dic146C22semidirect
39. #17989317C22semidirect
40. #17989315C22semidirect
41. #17989315C22semidirect
42. #17989314C22semidirect
43. #17989314C22semidirect
44. #17989314C22semidirect
45. #17989313C22semidirect
46. #17989313C22semidirect
47. #17989312C22semidirect
48. #17989310C22semidirect
49. #17989309C22semidirect
50. #17989308C22semidirect
51. #17989306C22semidirect
52. #17989305C22semidirect
53. #17989305C22semidirect
54. #17989304C22semidirect
55. #17989304C22semidirect
58. #17989295C22semidirect
61. #17989292C22semidirect
63. #17989291C22semidirect
70. #17989278C22semidirect
71. #17989277C22semidirect
74. #17989275C22semidirect
76. #17989273C22semidirect
78. #17989270C22semidirect
80. #17989256C22semidirect
81. #17989255C22semidirect
87. Q8×C22⋊D73C22semidirect
90. #17989250C22semidirect
92. #17989249C22semidirect
96. #17989246C22semidirect
98. #17989245C22semidirect
109. #17989209C22semidirect
110. #17989208C22semidirect
111. #17989203C22semidirect
112. #17989202C22semidirect
113. #17989201C22semidirect
114. #17989199C22semidirect
115. #17989196C22semidirect
116. #17989195C22semidirect
117. #17989195C22semidirect
118. #17989194C22semidirect
131. #17989143C22semidirect
132. #17989142C22semidirect
133. #17989142C22semidirect
138. #17989139C22semidirect
139. #17989139C22semidirect
140. #17989139C22semidirect
147. #17989123C22semidirect
150. #17989122C22semidirect
159. #17989120C22semidirect
160. #17989118C22semidirect
163. #17989116C22semidirect
170. #17989114C22semidirect
181. #17989069C22semidirect
184. #17989067C22semidirect
186. #17989066C22semidirect
187. #17989064C22semidirect
190. #17989063C22semidirect
191. #17989063C22semidirect
192. #41×Dic73C22semidirect
195. C4×#11924029C22semidirect
199. #17989055C22semidirect
205. C4×#11924027C22semidirect
207. C2×Q8×Dic73C22semidirect
210. C2×#14556556C22semidirect
219. C4×Q8×D73C22semidirect
220. C4×Q8×D73C22semidirect
223. #557×C73C22semidirect
224. #556×C73C22semidirect
227. #552×C73C22semidirect
230. #548×C73C22semidirect
231. #542×C73C22semidirect
232. #541×C73C22semidirect
235. #520×C73C22semidirect
236. #519×C73C22semidirect
651. Q8×D73#41semidirect
907. C2×Dic732−1+4semidirect
1021. #3516D73semidirect
1045. C73#62788semidirect
1062. #557C2×D73semidirect
1071. #556C2×D73semidirect
1098. #552C2×D73semidirect
1122. #548C2×D73semidirect
1136. #542C2×D73semidirect
1142. #541C2×D73semidirect
1213. #520C2×D73semidirect
1219. #519C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240232
#226240212
#226240122
#226240102
#226239242
#226239202
#226239142
#226237922
#226237902
#226237382
#226236992
#226236392
#226236352
#226235812
#226235772
#226235512
#226235502
#226235472
#226235452
#226235252
#226235212
#226235102
Q8×#119240272
#226233632
#226233572
#226232252
#226231422
#226231402
C2×C4×Q8×D732
C73×#35162
#6278873