Finite Group Databasebeta

← #33994213

Subgroups — #33994213

Order 18688.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1506 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624020C214yesmaximal, complemented
2#22624009C214yesmaximal, complemented
3#22623921C214yesmaximal, complemented
4#22623915C214yesmaximal, complemented
5#22623791C214yesmaximal, complemented
6#22623789C212yesmaximal, complemented
7#22623739C211yesmaximal, characteristic, complemented
8#22623700C211yesmaximal, characteristic, complemented
9#22623640C211yesmaximal, characteristic, complemented
10#22623632C214yesmaximal, complemented
11#22623578C212yesmaximal, complemented
12#22623545C214yesmaximal, complemented
13#22623543C214yesmaximal, complemented
14#22623525C214yesmaximal, complemented
15#22623510C214yesmaximal, complemented
16#22623365C211yesmaximal, characteristic, complemented
17#22623361C214yesmaximal, complemented
18#22623359C211yesmaximal, characteristic, complemented
19#22623223C212yesmaximal, complemented
20#22623223C214yesmaximal, complemented
21#22623142C212yesmaximal, complemented
22C22×#14556556C211yesmaximal, characteristic, complemented
23C73×#3492C211yesmaximal, characteristic, complemented
24C2×#14556638C2212yes—
25C23×Dic146C2211yescharacteristic
26#17989321C2218yescomplemented
27#17989320C2214yescomplemented
28#17989317C2214yescomplemented
29#17989315C2214yescomplemented
30#17989314C2218yescomplemented
31#17989314C2214yescomplemented
32#17989314C2214yescomplemented
33#17989312C2214yescomplemented
34#17989309C2214yescomplemented
35#17989308C2218yescomplemented
36#17989307C2214yescomplemented
37#17989305C2214yescomplemented
38#17989304C2218yescomplemented
39#17989304C2218yescomplemented
40#17989296C2218yes—
41#17989292C2214yes—
42#17989292C2214yescomplemented
43#17989291C2218yes—
44#17989291C2218yescomplemented
45#17989286C2218yes—
46#17989285C2214yes—
47#17989280C2218yes—
48#17989276C2214yescomplemented
49#17989274C2218yes—
50#17989274C2218yescomplemented
51#17989272C2214yes—
52#17989272C2214yescomplemented
53#17989270C2218yes—
54#17989269C2218yescomplemented
55#17989255C2214yescomplemented
56D4×Dic146C2214yes—
57D4×Dic146C2214yes—
58#17989250C2214yes—
59#17989250C2214yes—
60#17989250C2214yescomplemented
61#17989247C2214yescomplemented
62#17989246C2214yes—
63#17989246C2214yes—
64#17989243C2214yes—
65#17989243C2214yes—
66#17989243C2214yescomplemented
67#17989238C2214yes—
68#17989236C2218yes—
69#17989235C2218yes—
70#17989218C2211yescharacteristic
71#17989216C2214yes—
72#17989211C2214yescomplemented
73#17989207C2218yescomplemented
74#17989205C2218yescomplemented
75#17989204C2214yescomplemented
76#17989200C2214yescomplemented
77#17989197C2214yescomplemented
78#17989196C2218yescomplemented
79#17989194C2218yescomplemented
80#17989186C2214yes—
81#17989184C2214yes—
82#17989182C2214yes—
83#17989179C2218yes—
84#17989168C2211yescharacteristic
85#17989164C2214yes—
86#17989163C2212yes—
87#17989159C2218yes—
88#17989158C2212yes—
89#17989143C2218yescomplemented
90#17989142C2214yescomplemented
91#17989140C2214yes—
92#17989140C2212yes—
93#17989139C2212yes—
94#17989139C2212yes—
95#17989139C2214yes—
96#17989139C2214yes—
97#17989139C2218yescomplemented
98#17989139C2214yescomplemented
99#17989133C2214yes—
100#17989133C2212yes—
101#17989132C2212yes—
102#17989132C2212yes—
103#17989132C2214yes—
104#17989132C2214yes—
105#17989123C2212yes—
106#17989123C2214yes—
107#17989123C2212yes—
108#17989123C2214yes—
109#17989122C2214yescomplemented
110#17989120C2218yescomplemented
111#17989118C2212yes—
112#17989118C2214yes—
113#17989118C2212yes—
114#17989118C2214yes—
115#17989118C2214yescomplemented
116#17989117C2214yes—
117#17989117C2218yes—
118#17989117C2214yes—
119#17989117C2218yes—
120#17989114C2218yes—
121#17989114C2214yes—
122#17989114C2218yes—
123#17989114C2214yes—
124#17989114C2218yescomplemented
125#17989098C2212yes—
126#17989098C2214yes—
127#17989093C2218yes—
128#17989093C2214yes—
129#17989093C2214yes—
130#17989068C2212yes—
131#17989068C2214yescomplemented
132#17989066C2218yes—
133#17989066C2214yescomplemented
134#17989064C2212yes—
135#17989064C2214yescomplemented
136#17989063C2214yescomplemented
137#41×Dic73C2214yes—
138#41×Dic73C2212yes—
139#17989055C2214yes—
140#17989055C2212yes—
141#17989055C2214yescomplemented
142C4×#11924027C2214yes—
143C4×#11924027C2218yes—
144C4×#11924027C2214yes—
145C4×#11924027C2218yes—
146C4×#11924027C2214yescomplemented
147C2×#14556556C2214yes—
148C2×#14556556C2214yes—
149C2×#14556556C2211yescharacteristic
150C2×#14556556C2212yes—
151C2×#14556556C2214yes—
152C2×#14556556C2211yescharacteristic
153C2×#14556556C2212yes—
154C2×#14556556C2211yescharacteristic
155C2×#14556556C2214yes—
156C2×#14556556C2211yescharacteristic
157C2×#14556556C2214yescomplemented
158C4×Q8×D73C2214yescomplemented
159C22×#11924007C2212yes—
160C22×C4×Dic73C2211yescharacteristic
161C22×C4×Dic73C2212yes—
162#554×C73C2214yes—
163#553×C73C2214yes—
164#552×C73C2214yes—
165#547×C73C2214yes—
166#544×C73C2211yescharacteristic
167#539×C73C2214yes—
168#537×C73C2211yescharacteristic
169#525×C73C2212yes—
170#525×C73C2214yes—
171#520×C73C2212yes—
172C22×C4⋊C4×C73C2211yescharacteristic
173#14556638—216no—
174C2×#11924028C2312yes—
175C2×#11924028C2314yes—
176C2×#11924028C2314yes—
177C2×#11924027C2314yes—
178C2×#11924027C2318yes—
179C2×#11924027C2314yes—
180C2×#11924027C2314yes—
181C22×Dic146—28no—
182C22×Dic146C2311yescharacteristic
183C22×Dic146C2312yes—
184C22×Dic146C2314yes—
185C22×Dic146C2314yes—
186C22×Dic146C2314yes—
187C22×Dic146C2311yescharacteristic
188C2×Q8×D73C2314yes—
189C23×Dic73C2312yes—
190C23×Dic73C2311yescharacteristic
191C23×Dic73C2311yescharacteristic
192#14556591C2314yes—
193#14556590C2314yes—
194#14556590C2312yes—
195#14556590C2314yes—
196#14556590C2312yes—
197#14556590C2318yes—
198#14556590C2314yes—
199#14556590C2318yes—
200#14556590C2318yes—
201#14556589C2312yes—
202#14556589C2314yes—
203#14556589C2314yes—
204#14556589C2318yes—
205#14556587C2312yes—
206#14556587C2314yes—
207#14556586C2318yes—
208#14556586C2314yes—
209#14556586C2318yes—
210#14556586C2314yes—
211#14556586C2318yes—
212#14556586C2318yes—
213#14556585C2318yes—
214#14556584C2318yes—
215#14556584C2318yes—
216#14556584C2314yes—
217#14556584C2318yes—
218#14556584C2314yes—
219#14556584C2318yes—
220#14556583C2318yes—
221#14556582C2314yes—
222#14556582C2314yes—
223#14556582C2312yes—
224#14556582C2312yes—
225#14556582C2318yes—
226#14556582C2314yes—
227#14556581C2318yes—
228#14556581C2314yes—
229#14556581C2318yes—
230#14556581C2314yes—
231#14556581C2318yes—
232#14556581C2318yes—
233#14556581C2318yes—
234#14556581C2318yes—
235#14556581C2318yes—
236#14556580C2314yes—
237#14556580C2312yes—
238#14556579C2314yes—
239#14556578C2314yes—
240#14556578C2312yes—
241#14556578C2314yes—
242#14556577C2318yes—
243#14556577C2314yes—
244#14556577C2318yes—
245#14556577C2314yes—
246#14556577C2318yes—
247#14556577C2318yes—
248#14556576C2318yes—
249#14556576C2318yes—
250#14556575C2314yes—
251#14556575C2318yes—
252#14556575C2314yes—
253#14556574C2314yes—
254#14556574C2318yes—
255#14556574C2318yes—
256#14556573C2318yes—
257#14556572C2318yes—
258#14556572C2318yes—
259#14556572C2314yes—
260#14556572C2314yes—
261#14556571C2314yes—
262#14556571C2314yes—
263#14556571C2314yes—
264#14556570C2314yes—
265#14556570C2312yes—
266#14556570C2312yes—
267#14556570C2314yes—
268#14556570C2314yes—
269#14556570C2318yes—
270#14556570C2314yes—
271#14556569C2318yes—
272#14556569C2318yes—
273#14556569C2318yes—
274#14556569C2318yes—
275#14556569C2318yes—
276#14556568C2314yes—
277#14556568C2314yes—
278#14556568C2318yes—
279#14556568C2314yes—
280#14556568C2318yes—
281#14556568C2318yes—
282#14556568C2318yes—
283#14556568C2314yes—
284#14556568C2318yes—
285#14556568C2318yes—
286#14556567C2318yes—
287#14556566C2314yes—
288#14556565C2314yes—
289#14556565C2312yes—
290#14556565C2312yes—
291#14556565C2314yes—
292#14556564C2318yes—
293#14556563C2314yes—
294#14556563C2314yes—
295#14556563C2318yes—
296#14556563C2314yes—
297#14556563C2314yes—
298#14556563C2318yes—
299#14556563C2318yes—
300#14556560C2314yes—
301Q8×Dic73C2314yes—
302Q8×Dic73C2312yes—
303Q8×Dic73C2312yes—
304Q8×Dic73C2314yes—
305C4×Dic146C2318yes—
306C4×Dic146C2318yes—
307C4×Dic146C2314yes—
308C4×Dic146C2314yes—
309C4×Dic146C2314yes—
310C4×Dic146C2314yes—
311C4×Dic146C2318yes—
312#14556556C2318yes—
313#14556556C2314yes—
314#14556556C2314yes—
315#14556556C2314yes—
316#14556556C2318yes—
317#14556556C2312yes—
318#14556556C2312yes—
319#14556556C2314yes—
320#14556556C2314yes—
321#14556556C2318yes—
322#14556556C2318yes—
323#14556556C2314yes—
324#14556556C2314yes—
325#14556556C2314yes—
326#14556556C2314yes—
327#14556556C2314yes—
328#14556556C2318yes—
329#14556556C2314yes—
330#14556556C2314yes—
331#14556556C2318yes—
332#14556556C2318yes—
333#14556556C2314yes—
334#14556556C2314yes—
335#14556556C2314yes—
336D4×Dic73C2312yes—
337D4×Dic73C2314yes—
338D4×Dic73C2312yes—
339D4×Dic73C2314yes—
340D4×Dic73C2314yes—
341D4×Dic73C2318yes—
342D4×Dic73C2318yes—
343D4×Dic73C2314yes—
344D4×Dic73C2314yes—
345D4×Dic73C2314yes—
346#14556553C2314yes—
347#14556553C2312yes—
348#14556553C2312yes—
349#14556553C2314yes—
350#14556553C2314yes—
351C4×C22⋊D73C2318yes—
352C4×C22⋊D73C2314yes—
353C4×C22⋊D73C2314yes—
354C4×C22⋊D73C2318yes—
355C4×C22⋊D73C2318yes—
356C4×C22⋊D73C2318yes—
357C4×C22⋊D73C2314yes—
358C4×C22⋊D73C2314yes—
359C4×C22⋊D73C2318yes—
360#14556551C2314yes—
361#14556551C2318yes—
362#14556551C2314yes—
363#14556551C2318yes—
364#14556551C2314yes—
365#14556551C2314yes—
366#14556551C2318yes—
367#14556551C2314yes—
368#14556551C2314yes—
369#14556551C2318yes—
370#14556551C2318yes—
371#14556550C2312yes—
372#14556550C2314yes—
373#14556550C2314yes—
374#14556550C2318yes—
375#14556549C2314yes—
376#14556549C2318yes—
377#14556549C2318yes—
378#14556549C2314yes—
379#14556549C2314yes—
380#14556548C2314yes—
381#14556548C2318yes—
382#14556548C2318yes—
383#14556547C2318yes—
384#14556547C2314yes—
385#14556547C2318yes—
386#14556547C2314yes—
387#14556547C2314yes—
388#14556547C2318yes—
389#14556547C2318yes—
390#14556547C2314yes—
391C2×#11924007C2312yes—
392C2×#11924007C2312yes—
393C2×#11924007C2312yes—
394C2×#11924007C2318yes—
395C2×#11924007C2318yes—
396C2×#11924007C2318yes—
397C2×#11924007C2312yes—
398C4⋊C4×D73C2318yes—
399C4⋊C4×D73C2314yes—
400C2×C4×Dic73C2312yes—
401C2×C4×Dic73C2312yes—
402C2×C4×Dic73C2312yes—
403C2×C4×Dic73C2314yes—
404C2×C4×Dic73C2312yes—
405C2×C4×Dic73C2312yes—
406C2×C4×Dic73C2314yes—
407C2×C4×Dic73C2312yes—
408C2×C4×Dic73C2311yescharacteristic
409C2×C4×Dic73C2314yes—
410C2×C4×Dic73C2318yes—
411C2×C4×Dic73C2314yes—
412C2×C4×Dic73C2312yes—
413C2×C4×Dic73C2311yescharacteristic
414C2×C4×Dic73C2314yes—
415C2×C4×Dic73C2311yescharacteristic
416C2×C4×Dic73C2311yescharacteristic
417C2×C4×Dic73C2312yes—
418C42×D73C2318yes—
419C42×D73C2314yes—
420C2×#41×C73C2312yes—
421C2×#41×C73C2314yes—
422C23×C4×C73C2311yescharacteristic
423C23×C4×C73C2312yes—
424C4⋊Q8×C73C2314yes—
425#126×C73C2318yes—
426#125×C73C2314yes—
427#125×C73C2318yes—
428#123×C73C2314yes—
429#123×C73C2318yes—
430#123×C73C2318yes—
431C22⋊Q8×C73C2314yes—
432C22⋊Q8×C73C2312yes—
433C22⋊Q8×C73C2312yes—
434C22⋊Q8×C73C2314yes—
435C22⋊Q8×C73C2314yes—
436C22⋊Q8×C73C2318yes—
437#121×C73C2314yes—
438#121×C73C2312yes—
439#121×C73C2312yes—
440#121×C73C2314yes—
441#121×C73C2314yes—
442#120×C73C2314yes—
443C4×Q8×C73C2314yes—
444C4×D4×C73C2318yes—
445C4×D4×C73C2314yes—
446C4×D4×C73C2314yes—
447C4×D4×C73C2314yes—
448C4×D4×C73C2318yes—
449#117×C73C2312yes—
450#117×C73C2314yes—
451#117×C73C2314yes—
452C2×C4⋊C4×C73C2311yescharacteristic
453C2×C4⋊C4×C73C2312yes—
454C2×C4⋊C4×C73C2314yes—
455C2×C4⋊C4×C73C2311yescharacteristic
456C2×C4⋊C4×C73C2314yes—
457C2×C4⋊C4×C73C2314yes—
458#11924028—28no—
459#11924028—216no—
460#11924028—48no—
461#11924027—232no—
462#11924027—216no—
463#11924027—216no—
464#11924027—48no—
465C2×Dic146—24no—
466C2×Dic146—28no—
467C2×Dic146—216no—
468C2×Dic146—216no—
469C2×Dic146—216no—
470C2×Dic146#4118yescomplemented
471C2×Dic146C2418yes—
472C2×Dic146C2414yes—
473C2×Dic146C2412yes—
474C2×Dic146C2414yes—
475C2×Dic146C2418yes—
476C2×Dic146C2414yes—
477C2×Dic146C2414yes—
478C2×Dic146C2414yes—
479Q8×D73—216no—
480C2×D292C2412yes—
481C2×D292C2414yes—
482C2×C22⋊D73C2414yes—
483C2×C22⋊D73C2414yes—
484C2×C22⋊D73C2414yes—
485C2×C22⋊D73C2414yes—
486C2×C22⋊D73C2418yes—
487C2×C22⋊D73C2414yes—
488C22×Dic73—28no—
489C22×Dic73—24no—
490C22×Dic73—42no—
491C22×Dic73C2411yescharacteristic
492C22×Dic73C2411yescharacteristic
493C22×Dic73C2411yescharacteristic
494C22×Dic73C2411yescharacteristic
495C22×Dic73C2411yescharacteristic
496C22×Dic73C2414yes—
497C22×Dic73C2412yes—
498C22×Dic73C2414yes—
499C22×Dic73C2414yes—
500C22×Dic73C2412yes—
501C22×Dic73C2418yes—
502C22×Dic73C2411yescharacteristic
503C22×Dic73C2412yes—
504C22×Dic73C2411yescharacteristic
505C22×Dic73C2414yes—
506C22×Dic73C2412yes—
507C22×Dic73C2411yescharacteristic
508C2×C4×D73C2414yes—
509C2×C4×D73C2418yes—
510C2×C4×D73C2414yes—
511C2×C4×D73C2418yes—
512C2×C4×D73C2414yes—
513C4⋊Dic73C2412yes—
514C4⋊Dic73C2414yes—
515C4⋊Dic73C2412yes—
516C4⋊Dic73C2414yes—
517C4⋊Dic73C2414yes—
518C4⋊Dic73C2418yes—
519C4⋊Dic73C2414yes—
520C4⋊Dic73C2414yes—
521C4⋊Dic73C2414yes—
522C4⋊Dic73C2418yes—
523#11924007C2418yes—
524#11924007C2418yes—
525#11924007C2418yes—
526#11924007C2418yes—
527#11924007C2418yes—
528#11924007C2418yes—
529#11924007C2414yes—
530#11924007C2418yes—
531#11924007C2414yes—
532#11924007C2414yes—
533#11924007C2414yes—
534#11924007C2414yes—
535#11924007C2414yes—
536#11924007C2418yes—
537#11924007C2414yes—
538#11924007C2414yes—
539#11924007C2414yes—
540#11924007C2414yes—
541#11924007C2418yes—
542#11924007C2418yes—
543C22⋊Dic73C2414yes—
544C22⋊Dic73C2414yes—
545C22⋊Dic73C2414yes—
546C22⋊Dic73C2414yes—
547C22⋊Dic73C2414yes—
548C22⋊Dic73C2414yes—
549C22⋊Dic73C2414yes—
550C22⋊Dic73C2418yes—
551C22⋊Dic73C2418yes—
552#11924005C2414yes—
553#11924005C2414yes—
554#11924005C2414yes—
555#11924005C2418yes—
556#11924005C2418yes—
557#11924005C2414yes—
558#11924005C2418yes—
559#11924005C2418yes—
560#11924005C2414yes—
561#11924005C2414yes—
562C4×Dic73C2414yes—
563C4×Dic73C2412yes—
564C4×Dic73C2414yes—
565C4×Dic73C2414yes—
566C4×Dic73C2414yes—
567C4×Dic73C2418yes—
568C4×Dic73C2412yes—
569C4×Dic73C2414yes—
570C4×Dic73C2414yes—
571C4×Dic73C2412yes—
572C4×Dic73C2412yes—
573C4×Dic73C2414yes—
574C4×Dic73C2412yes—
575C4×Dic73C2414yes—
576C4×Dic73C2414yes—
577C4×Dic73C2412yes—
578C4×Dic73C2412yes—
579C4×Dic73C2414yes—
580C4×Dic73C2412yes—
581C4×Dic73C2414yes—
582C4×Dic73C2414yes—
583C4×Dic73C2418yes—
584C4×Dic73C2418yes—
585C4×Dic73C2414yes—
586C24×C73C2411yescharacteristic
587#41×C73—28no—
588#41×C73—48no—
589C2×Q8×C73C2412yes—
590C2×Q8×C73C2414yes—
591C2×D4×C73C2414yes—
592C2×D4×C73C2414yes—
593C2×D4×C73C2412yes—
594C2×D4×C73C2414yes—
595C2×D4×C73C2414yes—
596C22×C4×C73—24no—
597C22×C4×C73—44no—
598C22×C4×C73C2414yes—
599C22×C4×C73C2412yes—
600C22×C4×C73C2412yes—
601C22×C4×C73C2411yescharacteristic
602C22×C4×C73C2414yes—
603C22×C4×C73C2412yes—
604C22×C4×C73C2414yes—
605C22×C4×C73C2412yes—
606C22×C4×C73C2418yes—
607C22×C4×C73C2411yescharacteristic
608C4⋊C4×C73C2414yes—
609C4⋊C4×C73C2414yes—
610C4⋊C4×C73C2418yes—
611C4⋊C4×C73C2412yes—
612C4⋊C4×C73C2418yes—
613C4⋊C4×C73C2412yes—
614C4⋊C4×C73C2414yes—
615C4⋊C4×C73C2414yes—
616C4⋊C4×C73C2414yes—
617C4⋊C4×C73C2418yes—
618C4⋊C4×C73C2414yes—
619C22⋊C4×C73C2414yes—
620C22⋊C4×C73C2414yes—
621C22⋊C4×C73C2418yes—
622C22⋊C4×C73C2414yes—
623C22⋊C4×C73C2418yes—
624C22⋊C4×C73C2414yes—
625C22⋊C4×C73C2414yes—
626C42×C73C2418yes—
627C42×C73C2414yes—
628C23×C73—22no—
629C23×C73—22no—
630C23×C73—22no—
631C23×C73C2514yes—
632C23×C73C2511yescharacteristic
633C23×C73C2511yescharacteristic
634C23×C73C2511yescharacteristic
635C22×D73C2514yes—
636Q8×C73—24no—
637Q8×C73—44no—
638D4×C73—28no—
639D4×C73—28no—
640D4×C73—28no—
641D4×C73—24no—
642D4×C73—44no—
643C2×C4×C73—22no—
644C2×C4×C73—28no—
645C2×C4×C73—24no—
646C2×C4×C73—24no—
647C2×C4×C73—28no—
648C2×C4×C73—42no—
649C2×C4×C73—44no—
650C2×C4×C73—42no—
651C2×C4×C73—48no—
652C2×C4×C73C2×#4114yes—
653C2×C4×C73C2514yes—
654C2×C4×C73C2514yes—
655C2×C4×C73C2514yes—
656C2×C4×C73C2514yes—
657C2×C4×C73C2512yes—
658C2×C4×C73C2514yes—
659C2×C4×C73C2512yes—
660C22⋊D73—28no—
661C22⋊D73—28no—
662C22⋊D73—28no—
663C22⋊D73—216no—
664C22⋊D73—28no—
665C22⋊D73—44no—
666C2×Dic73—24no—
667C2×Dic73—22no—
668C2×Dic73—24no—
669C2×Dic73—28no—
670C2×Dic73—28no—
671C2×Dic73—216no—
672C2×Dic73—22no—
673C2×Dic73—22no—
674C2×Dic73—22no—
675C2×Dic73—22no—
676C2×Dic73—28no—
677C2×Dic73—41no—
678C2×Dic73—42no—
679C2×Dic73—41no—
680C2×Dic73—44no—
681C2×Dic73C2×#4118yes—
682C2×Dic732−1+414yescomplemented
683C2×Dic73C2511yescharacteristic
684C2×Dic73C2511yescharacteristic
685C2×Dic73C2512yes—
686C2×Dic73C2514yes—
687C2×Dic73C2514yes—
688C2×Dic73C2514yes—
689C2×Dic73C2512yes—
690C2×Dic73C2514yes—
691C2×Dic73C2514yes—
692C2×Dic73C2511yescharacteristic
693C2×Dic73C2511yescharacteristic
694D292—24no—
695D292—44no—
696C4×D73—28no—
697C4×D73—216no—
698C4×D73—28no—
699C4×D73—44no—
700C4×D73—48no—
701Dic146—28no—
702Dic146—24no—
703Dic146—216no—
704Dic146—216no—
705Dic146—28no—
706Dic146—44no—
707Dic146—44no—
708Dic146C2×#41116yes—
709C22×C73—28no—
710C22×C73—21no—
711C22×C73—21no—
712C22×C73—21no—
713C22×C73—21no—
714C22×C73—21no—
715C22×C73—21no—
716C22×C73—24no—
717C22×C73—24no—
718C22×C73—24no—
719C22×C73C22×#4112yes—
720C22×C73C2×2−1+412yes—
721C22×C73#58512yes—
722C22×C73C2611yescharacteristic
723C2×D73—24no—
724C2×D73—24no—
725C2×D73—24no—
726C4×C73—22no—
727C4×C73—24no—
728C4×C73—24no—
729C4×C73—24no—
730C4×C73—24no—
731C4×C73—24no—
732C4×C73C22×#4114yes—
733Dic73—24no—
734Dic73—24no—
735Dic73—24no—
736Dic73—21no—
737Dic73—21no—
738Dic73—24no—
739Dic73—22no—
740Dic73—22no—
741Dic73C22×#4118yes—
742Dic73C2×2−1+412yes—
743Dic73C2×2−1+412yes—
744#62788—731nomaximal, Sylow
745C2×C73—22no—
746C2×C73—22no—
747C2×C73—22no—
748C2×C73—44no—
749C2×C73C23×#4111yescharacteristic
750C2×C73C22×2−1+411yescharacteristic
751C2×C73C2×#58511yescharacteristic
752D73—44no—
753#3523—734no—
754#3522—734no—
755#3516—734no—
756#3516—734no—
757#3507—734no—
758#3507—732no—
759#3502—731no—
760#3497—731no—
761#3492—734no—
762#3492—731no—
763#3492D7311yescharacteristic, complemented
764#3486—732no—
765#3482—734no—
766#3482—734no—
767#3480—734no—
768Q8×#41—734no—
769#3461—731no—
770#3461—734no—
771#3461—731no—
772#3444—732no—
773#3444—734no—
774C4×2−1+4—732no—
775C22×C4×Q8—731no—
776C73#6278811yescharacteristic, complemented, Sylow
777C2×2−1+4—732no—
778C23×Q8—731no—
779#559—738no—
780#559—734no—
781Q82—734no—
782#557—734no—
783#557—738no—
784#557—734no—
785#557—734no—
786#557—734no—
787#556—738no—
788#556—738no—
789#556—738no—
790#556—734no—
791#556—734no—
792#556—734no—
793#554—738no—
794#554—738no—
795#554—738no—
796#554—734no—
797#554—734no—
798#554C2×D7314yes—
799#553—738no—
800#553—738no—
801#553—734no—
802#553C2×D7314yes—
803#552—738no—
804#552—738no—
805#552—738no—
806#552—738no—
807#552—734no—
808#552—734no—
809#552—734no—
810#552C2×D7314yes—
811#550—734no—
812D4×Q8—734no—
813D4×Q8—734no—
814D4×Q8—734no—
815D4×Q8—734no—
816D4×Q8—734no—
817#548—734no—
818#548—734no—
819#548—734no—
820#548—734no—
821#548—734no—
822#548—734no—
823#547—738no—
824#547—738no—
825#547—734no—
826#547C2×D7314yes—
827#544—734no—
828#544—731no—
829#544C2×D7311yescharacteristic
830#542—734no—
831#542—738no—
832#542—738no—
833#542—734no—
834#541—738no—
835#541—738no—
836#541—734no—
837#541—734no—
838#539—734no—
839#539—734no—
840#539—738no—
841#539—734no—
842#539C2×D7314yes—
843#537—734no—
844#537—731no—
845#537C2×D7311yescharacteristic
846#536—732no—
847#536—738no—
848#536—732no—
849#533—734no—
850#533—738no—
851#533—732no—
852#533—734no—
853#533—734no—
854#533—732no—
855#533—734no—
856#533—738no—
857#533—732no—
858#533—734no—
859#532—732no—
860#532—734no—
861#532—732no—
862#532—734no—
863#532—734no—
864#532—732no—
865#529—738no—
866#529—734no—
867#529—734no—
868#529—738no—
869#529—734no—
870#529—738no—
871#529—738no—
872#529—734no—
873#529—732no—
874#529—734no—
875#529—732no—
876#529—734no—
877#529—732no—
878#529—734no—
879#529—732no—
880#529—734no—
881#529—738no—
882#529—734no—
883#529—738no—
884#529—734no—
885#525—732no—
886#525—734no—
887#525—734no—
888#525—738no—
889#525—734no—
890#525C2×D7312yes—
891#525C2×D7314yes—
892#520—738no—
893#520—734no—
894#520—732no—
895#520—734no—
896#520C2×D7312yes—
897#519—734no—
898#519—732no—
899#519—734no—
900C4×#41—732no—
901C4×#41—734no—
902C4×#41—738no—
903C4×#41—734no—
904C4×#41—738no—
905C4×#41—734no—
906C4×#41—734no—
907C4×#41—732no—
908C4×#41—734no—
909C4×#41—734no—
910C2×C4×Q8—734no—
911C2×C4×Q8—731no—
912C2×C4×Q8—732no—
913C2×C4×Q8—731no—
914C2×C4×Q8—734no—
915C2×C4×Q8—734no—
916C2×C4×Q8—731no—
917C2×C4×Q8—732no—
918C2×C4×Q8—731no—
919C2×C4×Q8—734no—
920C2×C4×Q8—734no—
921C2×C4×Q8—734no—
922C22×C4⋊C4—732no—
923C22×C4⋊C4C2×D7311yescharacteristic
924C22×C42—731no—
925C22×C42—732no—
9262−1+4—14616no—
927C2×#41—734no—
928C2×#41—734no—
929C2×#41—738no—
930C2×#41—734no—
931C2×#41—734no—
932C2×#41—732no—
933C2×#41—734no—
934C2×#41C22×D7312yes—
935C2×#41C22×D7314yes—
936C22×Q8—734no—
937C22×Q8—731no—
938C22×Q8—732no—
939C22×Q8—731no—
940C22×Q8—734no—
941C22×Q8—734no—
942C22×Q8—734no—
943C22×Q8—1468no—
944C23×C4—731no—
945C23×C4—732no—
946C23×C4—731no—
947C23×C4C22×D7311yescharacteristic
948C23×C4C22×D7312yes—
949C4⋊Q8—732no—
950C4⋊Q8—734no—
951C4⋊Q8—734no—
952C4⋊Q8—738no—
953C4⋊Q8—734no—
954C4⋊Q8—732no—
955C4⋊Q8—734no—
956C4⋊Q8—732no—
957C4⋊Q8—738no—
958C4⋊Q8—738no—
959C4⋊Q8—738no—
960C4⋊Q8—734no—
961C4⋊Q8—734no—
962C4⋊Q8C22×D7314yes—
963#127—732no—
964#127—734no—
965#126—738no—
966#126—734no—
967#126—734no—
968#126—738no—
969#126—738no—
970#126—738no—
971#126—734no—
972#126—738no—
973#126—734no—
974#126—738no—
975#126—738no—
976#126—738no—
977#126—738no—
978#126C22×D7318yes—
979#125—734no—
980#125—734no—
981#125—734no—
982#125—738no—
983#125—732no—
984#125—732no—
985#125—734no—
986#125—738no—
987#125—738no—
988#125—738no—
989#125—734no—
990#125—738no—
991#125—738no—
992#125—738no—
993#125—738no—
994#125—738no—
995#125C22×D7314yes—
996#125C22×D7318yes—
997#124—734no—
998#124—732no—
999#124—734no—
1000#124—732no—
1001#124—734no—
1002#124—734no—
1003#124—738no—
1004#124—734no—
1005#124—738no—
1006#124—738no—
1007#124—738no—
1008#124—734no—
1009#123—734no—
1010#123—738no—
1011#123—734no—
1012#123—738no—
1013#123—734no—
1014#123—738no—
1015#123—738no—
1016#123—738no—
1017#123—738no—
1018#123—734no—
1019#123—738no—
1020#123—734no—
1021#123—738no—
1022#123C22×D7314yes—
1023#123C22×D7318yes—
1024#123C22×D7318yes—
1025C22⋊Q8—738no—
1026C22⋊Q8—734no—
1027C22⋊Q8—732no—
1028C22⋊Q8—732no—
1029C22⋊Q8—734no—
1030C22⋊Q8—734no—
1031C22⋊Q8—734no—
1032C22⋊Q8—738no—
1033C22⋊Q8—738no—
1034C22⋊Q8—734no—
1035C22⋊Q8—738no—
1036C22⋊Q8—734no—
1037C22⋊Q8—738no—
1038C22⋊Q8—734no—
1039C22⋊Q8—738no—
1040C22⋊Q8—738no—
1041C22⋊Q8—734no—
1042C22⋊Q8—734no—
1043C22⋊Q8—734no—
1044C22⋊Q8—738no—
1045C22⋊Q8—738no—
1046C22⋊Q8—734no—
1047C22⋊Q8—738no—
1048C22⋊Q8—738no—
1049C22⋊Q8—738no—
1050C22⋊Q8—738no—
1051C22⋊Q8C22×D7314yes—
1052C22⋊Q8C22×D7312yes—
1053C22⋊Q8C22×D7312yes—
1054C22⋊Q8C22×D7314yes—
1055C22⋊Q8C22×D7314yes—
1056C22⋊Q8C22×D7318yes—
1057#121—734no—
1058#121—734no—
1059#121—734no—
1060#121—738no—
1061#121—738no—
1062#121—734no—
1063#121—738no—
1064#121—734no—
1065#121—732no—
1066#121—732no—
1067#121—734no—
1068#121—734no—
1069#121—738no—
1070#121C22×D7314yes—
1071#121C22×D7312yes—
1072#121C22×D7312yes—
1073#121C22×D7314yes—
1074#121C22×D7314yes—
1075#120—734no—
1076#120C22×D7314yes—
1077C4×Q8—732no—
1078C4×Q8—732no—
1079C4×Q8—734no—
1080C4×Q8—734no—
1081C4×Q8—734no—
1082C4×Q8—734no—
1083C4×Q8—738no—
1084C4×Q8—734no—
1085C4×Q8—738no—
1086C4×Q8—734no—
1087C4×Q8—734no—
1088C4×Q8—734no—
1089C4×Q8—738no—
1090C4×Q8—734no—
1091C4×Q8—738no—
1092C4×Q8—734no—
1093C4×Q8—738no—
1094C4×Q8—732no—
1095C4×Q8—734no—
1096C4×Q8—738no—
1097C4×Q8—734no—
1098C4×Q8—732no—
1099C4×Q8—734no—
1100C4×Q8—734no—
1101C4×Q8—734no—
1102C4×Q8—734no—
1103C4×Q8—734no—
1104C4×Q8—738no—
1105C4×Q8—734no—
1106C4×Q8—738no—
1107C4×Q8—738no—
1108C4×Q8—734no—
1109C4×Q8—738no—
1110C4×Q8—734no—
1111C4×Q8—734no—
1112C4×Q8C22×D7314yes—
1113C4×D4—734no—
1114C4×D4—734no—
1115C4×D4—732no—
1116C4×D4—734no—
1117C4×D4—732no—
1118C4×D4—738no—
1119C4×D4—738no—
1120C4×D4—734no—
1121C4×D4—734no—
1122C4×D4—734no—
1123C4×D4—738no—
1124C4×D4—738no—
1125C4×D4—738no—
1126C4×D4—734no—
1127C4×D4—734no—
1128C4×D4—738no—
1129C4×D4—734no—
1130C4×D4—734no—
1131C4×D4—738no—
1132C4×D4—732no—
1133C4×D4—732no—
1134C4×D4—734no—
1135C4×D4—734no—
1136C4×D4—734no—
1137C4×D4—734no—
1138C4×D4—734no—
1139C4×D4—738no—
1140C4×D4—734no—
1141C4×D4—738no—
1142C4×D4—738no—
1143C4×D4—738no—
1144C4×D4—734no—
1145C4×D4—734no—
1146C4×D4—738no—
1147C4×D4—734no—
1148C4×D4C22×D7318yes—
1149C4×D4C22×D7314yes—
1150C4×D4C22×D7314yes—
1151C4×D4C22×D7314yes—
1152C4×D4C22×D7318yes—
1153#117—732no—
1154#117—734no—
1155#117—734no—
1156#117—738no—
1157#117—738no—
1158#117—734no—
1159#117—738no—
1160#117—734no—
1161#117—734no—
1162#117—734no—
1163#117—738no—
1164#117—738no—
1165#117—738no—
1166#117—734no—
1167#117—734no—
1168#117—738no—
1169#117—734no—
1170#117—734no—
1171#117—738no—
1172#117—738no—
1173#117C22×D7312yes—
1174#117C22×D7314yes—
1175#117C22×D7314yes—
1176C2×C4⋊C4—732no—
1177C2×C4⋊C4—732no—
1178C2×C4⋊C4—732no—
1179C2×C4⋊C4—732no—
1180C2×C4⋊C4—738no—
1181C2×C4⋊C4—738no—
1182C2×C4⋊C4—738no—
1183C2×C4⋊C4—738no—
1184C2×C4⋊C4—734no—
1185C2×C4⋊C4C22×D7311yescharacteristic
1186C2×C4⋊C4C22×D7311yescharacteristic
1187C2×C4⋊C4C22×D7312yes—
1188C2×C4⋊C4C22×D7314yes—
1189C2×C4⋊C4C22×D7314yes—
1190C2×C4⋊C4C22×D7314yes—
1191C2×C42—731no—
1192C2×C42—732no—
1193C2×C42—732no—
1194C2×C42—734no—
1195C2×C42—732no—
1196C2×C42—734no—
1197C2×C42—731no—
1198C2×C42—732no—
1199C2×C42—732no—
1200C2×C42—734no—
1201C2×C42—731no—
1202C2×C42—732no—
1203C2×C42—732no—
1204C2×C42—734no—
1205C2×C42—731no—
1206C2×C42—732no—
1207C2×C42—734no—
1208C2×C42—738no—
1209C2×C42—734no—
1210C2×C42—738no—
1211C24C23×D7311yescharacteristic
1212#41—28no—
1213#41—48no—
1214#41—2928no—
1215#41—2928no—
1216#41—14616no—
1217#41—14616no—
1218#41—14632no—
1219#41—14616no—
1220#41—1468no—
1221C2×Q8—738no—
1222C2×Q8—734no—
1223C2×Q8—734no—
1224C2×Q8—734no—
1225C2×Q8—734no—
1226C2×Q8—738no—
1227C2×Q8—734no—
1228C2×Q8—738no—
1229C2×Q8—732no—
1230C2×Q8—1468no—
1231C2×Q8—14616no—
1232C2×Q8—14616no—
1233C2×Q8—14616no—
1234C2×Q8—14616no—
1235C2×Q8—1464no—
1236C2×Q8C23×D7312yes—
1237C2×Q8C23×D7314yes—
1238C2×D4—734no—
1239C2×D4—734no—
1240C2×D4—734no—
1241C2×D4—734no—
1242C2×D4—734no—
1243C2×D4—738no—
1244C2×D4—734no—
1245C2×D4—732no—
1246C2×D4C23×D7314yes—
1247C2×D4C23×D7314yes—
1248C2×D4C23×D7314yes—
1249C2×D4C23×D7312yes—
1250C2×D4C23×D7314yes—
1251C22×C4—24no—
1252C22×C4—44no—
1253C22×C4—2922no—
1254C22×C4—731no—
1255C22×C4—732no—
1256C22×C4—731no—
1257C22×C4—734no—
1258C22×C4—734no—
1259C22×C4—738no—
1260C22×C4—731no—
1261C22×C4—732no—
1262C22×C4—731no—
1263C22×C4—731no—
1264C22×C4—731no—
1265C22×C4—731no—
1266C22×C4—731no—
1267C22×C4—734no—
1268C22×C4—732no—
1269C22×C4—734no—
1270C22×C4—734no—
1271C22×C4—732no—
1272C22×C4—738no—
1273C22×C4—734no—
1274C22×C4—738no—
1275C22×C4—734no—
1276C22×C4—1464no—
1277C22×C4—1468no—
1278C22×C4C23×D7314yes—
1279C22×C4C23×D7312yes—
1280C22×C4C23×D7312yes—
1281C22×C4C23×D7311yescharacteristic
1282C22×C4C23×D7314yes—
1283C22×C4C23×D7312yes—
1284C22×C4C23×D7314yes—
1285C22×C4C23×D7312yes—
1286C22×C4C23×D7318yes—
1287C22×C4C23×D7311yescharacteristic
1288C4⋊C4—738no—
1289C4⋊C4—738no—
1290C4⋊C4—738no—
1291C4⋊C4—738no—
1292C4⋊C4—738no—
1293C4⋊C4—734no—
1294C4⋊C4—738no—
1295C4⋊C4—738no—
1296C4⋊C4—734no—
1297C4⋊C4—734no—
1298C4⋊C4—734no—
1299C4⋊C4—734no—
1300C4⋊C4—734no—
1301C4⋊C4—734no—
1302C4⋊C4—738no—
1303C4⋊C4—734no—
1304C4⋊C4—738no—
1305C4⋊C4—734no—
1306C4⋊C4—738no—
1307C4⋊C4—734no—
1308C4⋊C4—732no—
1309C4⋊C4—734no—
1310C4⋊C4—732no—
1311C4⋊C4—734no—
1312C4⋊C4—734no—
1313C4⋊C4—734no—
1314C4⋊C4—734no—
1315C4⋊C4—738no—
1316C4⋊C4—738no—
1317C4⋊C4—734no—
1318C4⋊C4C23×D7314yes—
1319C4⋊C4C23×D7318yes—
1320C4⋊C4C23×D7314yes—
1321C4⋊C4C23×D7318yes—
1322C4⋊C4C23×D7312yes—
1323C4⋊C4C23×D7314yes—
1324C4⋊C4C23×D7314yes—
1325C4⋊C4C23×D7318yes—
1326C4⋊C4C23×D7312yes—
1327C4⋊C4C23×D7314yes—
1328C4⋊C4C23×D7314yes—
1329C22⋊C4—734no—
1330C22⋊C4—734no—
1331C22⋊C4—734no—
1332C22⋊C4—734no—
1333C22⋊C4—734no—
1334C22⋊C4—734no—
1335C22⋊C4—734no—
1336C22⋊C4—738no—
1337C22⋊C4—738no—
1338C22⋊C4—734no—
1339C22⋊C4—738no—
1340C22⋊C4—734no—
1341C22⋊C4—734no—
1342C22⋊C4—738no—
1343C22⋊C4—734no—
1344C22⋊C4—738no—
1345C22⋊C4—734no—
1346C22⋊C4—734no—
1347C22⋊C4—738no—
1348C22⋊C4C23×D7314yes—
1349C22⋊C4C23×D7318yes—
1350C22⋊C4C23×D7314yes—
1351C22⋊C4C23×D7314yes—
1352C22⋊C4C23×D7318yes—
1353C22⋊C4C23×D7314yes—
1354C22⋊C4C23×D7314yes—
1355C42—734no—
1356C42—732no—
1357C42—734no—
1358C42—734no—
1359C42—734no—
1360C42—732no—
1361C42—734no—
1362C42—732no—
1363C42—732no—
1364C42—734no—
1365C42—732no—
1366C42—734no—
1367C42—734no—
1368C42—732no—
1369C42—734no—
1370C42—732no—
1371C42—734no—
1372C42—732no—
1373C42—734no—
1374C42—734no—
1375C42—738no—
1376C42—738no—
1377C42—738no—
1378C42—734no—
1379C42C23×D7318yes—
1380C42C23×D7314yes—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—734no—
1385C23C24×D7314yes—
1386C23C24×D7311yescharacteristic
1387C23C24×D7311yescharacteristic
1388C23C24×D7311yescharacteristic
1389Q8—24no—
1390Q8—44no—
1391Q8—2924no—
1392Q8—2924no—
1393Q8—7316no—
1394Q8—14616no—
1395Q8—14616no—
1396Q8—1468no—
1397Q8—1468no—
1398Q8—1464no—
1399D4—28no—
1400D4—28no—
1401D4—28no—
1402D4—24no—
1403D4—44no—
1404D4—2924no—
1405D4—2924no—
1406D4—14616no—
1407D4—1468no—
1408D4—1468no—
1409D4—1468no—
1410D4—1468no—
1411D4—1464no—
1412C2×C4—22no—
1413C2×C4—28no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—28no—
1417C2×C4—42no—
1418C2×C4—44no—
1419C2×C4—42no—
1420C2×C4—48no—
1421C2×C4—2928no—
1422C2×C4—2924no—
1423C2×C4—2921no—
1424C2×C4—2922no—
1425C2×C4—2921no—
1426C2×C4—2924no—
1427C2×C4—738no—
1428C2×C4—734no—
1429C2×C4—731no—
1430C2×C4—731no—
1431C2×C4—734no—
1432C2×C4—731no—
1433C2×C4—731no—
1434C2×C4—732no—
1435C2×C4—734no—
1436C2×C4—734no—
1437C2×C4—734no—
1438C2×C4—734no—
1439C2×C4—732no—
1440C2×C4—14616no—
1441C2×C4—1468no—
1442C2×C4—1468no—
1443C2×C4—1468no—
1444C2×C4—1462no—
1445C2×C4—1462no—
1446C2×C4—1462no—
1447C2×C4—1462no—
1448C2×C4—14616no—
1449C2×C4—1468no—
1450C2×C4—1464no—
1451C2×C4—1462no—
1452C2×C4—1464no—
1453C2×C4—1468no—
1454C2×C4#41×D7314yes—
1455C2×C4C24×D7314yes—
1456C2×C4C24×D7312yes—
1457C2×C4C24×D7314yes—
1458C2×C4C24×D7314yes—
1459C2×C4C24×D7314yes—
1460C2×C4C24×D7314yes—
1461C2×C4C24×D7312yes—
1462C22—28no—
1463C22—21no—
1464C22—21no—
1465C22—21no—
1466C22—21no—
1467C22—21no—
1468C22—21no—
1469C22—24no—
1470C22—24no—
1471C22—24no—
1472C22—1464no—
1473C22—1464no—
1474C22—1464no—
1475C22C2×#41×D7312yes—
1476C222−1+4×D7312yes—
1477C22#1798942212yes—
1478C22C25×D7311yescharacteristic
1479C4—22no—
1480C4—24no—
1481C4—24no—
1482C4—24no—
1483C4—24no—
1484C4—24no—
1485C4—738no—
1486C4—732no—
1487C4—732no—
1488C4—1464no—
1489C4—1464no—
1490C4—1461no—
1491C4—1461no—
1492C4—1464no—
1493C4—1462no—
1494C4—1464no—
1495C4—1462no—
1496C4C2×#41×D7314yes—
1497C2—22no—
1498C2—22no—
1499C2—22no—
1500C2—44no—
1501C2—2924no—
1502C2C22×#41×D7311yescharacteristic
1503C2C2×2−1+4×D7311yescharacteristic
1504C2C2×#1798942211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3492C2
hypercenter#3492D73
hypocenterC73#62788
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #22624020C2semidirect
2. #22624009C2semidirect
3. #22623921C2semidirect
4. #22623915C2semidirect
5. #22623791C2semidirect
6. #22623789C2semidirect
7. #22623739C2semidirect
8. #22623700C2semidirect
9. #22623640C2semidirect
10. #22623632C2semidirect
11. #22623578C2semidirect
12. #22623545C2semidirect
13. #22623543C2semidirect
14. #22623525C2semidirect
15. #22623510C2semidirect
16. #22623365C2semidirect
17. #22623361C2semidirect
18. #22623359C2semidirect
19. #22623223C2semidirect
20. #22623223C2semidirect
21. #22623142C2semidirect
22. C22×#14556556C2semidirect
23. C73×#3492C2semidirect
26. #17989321C22semidirect
27. #17989320C22semidirect
28. #17989317C22semidirect
29. #17989315C22semidirect
30. #17989314C22semidirect
31. #17989314C22semidirect
32. #17989314C22semidirect
33. #17989312C22semidirect
34. #17989309C22semidirect
35. #17989308C22semidirect
36. #17989307C22semidirect
37. #17989305C22semidirect
38. #17989304C22semidirect
39. #17989304C22semidirect
42. #17989292C22semidirect
44. #17989291C22semidirect
48. #17989276C22semidirect
50. #17989274C22semidirect
52. #17989272C22semidirect
54. #17989269C22semidirect
55. #17989255C22semidirect
60. #17989250C22semidirect
61. #17989247C22semidirect
66. #17989243C22semidirect
72. #17989211C22semidirect
73. #17989207C22semidirect
74. #17989205C22semidirect
75. #17989204C22semidirect
76. #17989200C22semidirect
77. #17989197C22semidirect
78. #17989196C22semidirect
79. #17989194C22semidirect
89. #17989143C22semidirect
90. #17989142C22semidirect
97. #17989139C22semidirect
98. #17989139C22semidirect
109. #17989122C22semidirect
110. #17989120C22semidirect
115. #17989118C22semidirect
124. #17989114C22semidirect
131. #17989068C22semidirect
133. #17989066C22semidirect
135. #17989064C22semidirect
136. #17989063C22semidirect
141. #17989055C22semidirect
146. C4×#11924027C22semidirect
157. C2×#14556556C22semidirect
158. C4×Q8×D73C22semidirect
470. C2×Dic146#41semidirect
682. C2×Dic732−1+4semidirect
763. #3492D73semidirect
776. C73#62788semidirect

Maximal subgroups

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

subgroupindex
#226240202
#226240092
#226239212
#226239152
#226237912
#226237892
#226237392
#226237002
#226236402
#226236322
#226235782
#226235452
#226235432
#226235252
#226235102
#226233652
#226233612
#226233592
#226232232
#226231422
C22×#145565562
C73×#34922
#6278873