Finite Group Databasebeta

← #33968398

Subgroups — #33968398

Order 18688.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623914C211yesmaximal, characteristic, complemented
2#22623871C211yesmaximal, characteristic, complemented
3#22622930C211yesmaximal, characteristic, complemented
4#22622801C211yesmaximal, characteristic, complemented
5#22622762C211yesmaximal, characteristic, complemented
6#22622697C211yesmaximal, characteristic, complemented
7#22622317C211yesmaximal, characteristic, complemented
8#22622314C211yesmaximal, characteristic, complemented
9#22622281C211yesmaximal, characteristic, complemented
10#22622191C211yesmaximal, characteristic, complemented
11#22622144C211yesmaximal, characteristic, complemented
12#22622076C211yesmaximal, characteristic, complemented
13#22622016C211yesmaximal, characteristic, complemented
14#22621980C211yesmaximal, characteristic, complemented
15#22621920C211yesmaximal, characteristic, complemented
16#22621644C211yesmaximal, characteristic, complemented
17#22621642C211yesmaximal, characteristic, complemented
18#22621625C211yesmaximal, characteristic, complemented
19#22620557C211yesmaximal, characteristic, complemented
20#22620546C211yesmaximal, characteristic, complemented
21#22620495C211yesmaximal, characteristic, complemented
22#22620158C211yesmaximal, characteristic, complemented
23#22620149C211yesmaximal, characteristic, complemented
24#22620134C211yesmaximal, characteristic, complemented
25#22620113C211yesmaximal, characteristic, complemented
26#22620104C211yesmaximal, characteristic, complemented
27#22618900C211yesmaximal, characteristic, complemented
28#22618813C211yesmaximal, characteristic, complemented
29#22618787C211yesmaximal, characteristic, complemented
30C2×C4×#11924016C211yesmaximal, characteristic, complemented
31C73×#3114C211yesmaximal, characteristic, complemented
32C2×#14556610C2211yescharacteristic
33C22×#11924016C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989314C2211yescharacteristic, complemented
37#17989306C2211yescharacteristic, complemented
38#17989305—21no—
39#17989296—21no—
40#17989296C2211yescharacteristic
41#17989295C2211yescharacteristic, complemented
42#17989289C2211yescharacteristic
43#17989287C2211yescharacteristic
44#17989286—21no—
45#17989286—21no—
46#17989275C2211yescharacteristic, complemented
47#17989272C2211yescharacteristic
48#17989270—21no—
49#17989266—21no—
50#17989263—21no—
51#17989250C2211yescharacteristic
52#17989245C2211yescharacteristic, complemented
53#17989243C2211yescharacteristic, complemented
54#17989238C2211yescharacteristic
55#17989232C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989227—21no—
58D4×C22⋊D73C2211yescharacteristic
59#17989203—21no—
60#17989202C2211yescharacteristic
61#17989202C2211yescharacteristic, complemented
62#17989195C2211yescharacteristic, complemented
63#17989194—21no—
64#17989188C2211yescharacteristic
65#17989179—21no—
66#17989170—21no—
67#17989121C2211yescharacteristic
68#17989121C2211yescharacteristic
69#17989114—21no—
70#17989114—21no—
71#17989098—21no—
72C2×#14556574—21no—
73#17989066C2211yescharacteristic
74#17989066C2211yescharacteristic, complemented
75#17989063C2211yescharacteristic, complemented
76#17989059C2211yescharacteristic
77C2×C4×Dic146C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988970C2211yescharacteristic, complemented
82#17988969C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988954C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic
86#17988945C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988944C2211yescharacteristic, complemented
89#17988941C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988930C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic
96#17988909C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic
99#17988899C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988895C2211yescharacteristic, complemented
103#17988893C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic
105#17988885C2211yescharacteristic, complemented
106#17988881C2211yescharacteristic, complemented
107#17988876C2211yescharacteristic, complemented
108#17988870C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic
110#17988846C2211yescharacteristic, complemented
111#17988837C2211yescharacteristic
112#17988834C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic
116#17988819C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic
118#17988815C2211yescharacteristic
119#17988815C2211yescharacteristic, complemented
120#17988815C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988810C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic
128#17988796C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic
130#17988786C2211yescharacteristic
131#17988780C2211yescharacteristic
132#17988750C2211yescharacteristic
133#17988746C2211yescharacteristic
134#17988745C2211yescharacteristic, complemented
135#17988744C2211yescharacteristic, complemented
136#17988739C2211yescharacteristic
137#17988733C2211yescharacteristic, complemented
138#17988729C2211yescharacteristic, complemented
139#17988728C2211yescharacteristic
140#17988724C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988714C2211yescharacteristic, complemented
143#17988711C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic
145#17988695C2211yescharacteristic, complemented
146#17988695C2211yescharacteristic, complemented
147#17988693C2211yescharacteristic, complemented
148#17988689C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic, complemented
150#17988688C2211yescharacteristic
151#17988686C2211yescharacteristic, complemented
152C4×#11924018C2211yescharacteristic, complemented
153#17988678C2211yescharacteristic
154#17988678C2211yescharacteristic
155#17988678C2211yescharacteristic, complemented
156C4×#11924015C2211yescharacteristic, complemented
157C4×#11924016C2211yescharacteristic
158C4×#11924016C2211yescharacteristic
159C4×#11924016C2211yescharacteristic
160C4×#11924016C2211yescharacteristic
161C4×#11924016C2211yescharacteristic, complemented
162C4×#11924016C2211yescharacteristic, complemented
163C4×#11924016C2211yescharacteristic, complemented
164C4×#11924016C2211yescharacteristic, complemented
165C4×#11924016C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic
170#17988655C2211yescharacteristic, complemented
171#17988652C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic
173#17988650C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988649C2211yescharacteristic, complemented
176#17988624C2211yescharacteristic, complemented
177C2×#14556522C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic
181#17988585C2211yescharacteristic
182#17988585C2211yescharacteristic, complemented
183C2×#14556514C2211yescharacteristic, complemented
184C2×#14556512C2211yescharacteristic
185#17988544C2211yescharacteristic, complemented
186#17988544C2211yescharacteristic, complemented
187C2×C4×#10596831C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#483×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210#14556610—24no—
211C2×Dic292C2311yescharacteristic
212C2×Dic292C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924016—24no—
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223SD16×D73—24no—
224C2×#11924013C2311yescharacteristic
225C2×#11924011C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C22×#10596831C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556590—21no—
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556587C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556585—21no—
241#14556585—21no—
242#14556585D411yescharacteristic
243#14556585D411yescharacteristic
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556583—21no—
251#14556583D411yescharacteristic
252#14556583C2311yescharacteristic
253#14556582—21no—
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556579D411yescharacteristic
262#14556579C2311yescharacteristic
263#14556578C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556574D411yescharacteristic
283#14556574D411yescharacteristic
284#14556573—21no—
285#14556573—21no—
286#14556572—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556571C2311yescharacteristic
291#14556570—21no—
292#14556570—21no—
293#14556570—21no—
294#14556570D411yescharacteristic
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556567C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556565—21no—
308#14556565—21no—
309#14556565D411yescharacteristic
310#14556565C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556560—21no—
323#14556560—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335#14556556—21no—
336#14556556—21no—
337#14556556C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342D4×Dic73—21no—
343D4×Dic73—21no—
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73C2311yescharacteristic
355C4×C22⋊D73C2311yescharacteristic
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556550—21no—
363#14556549—21no—
364#14556549—21no—
365#14556549C2311yescharacteristic
366#14556549C2311yescharacteristic
367#14556548—21no—
368#14556548—21no—
369#14556548C2311yescharacteristic
370#14556548C2311yescharacteristic
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374C2×C4⋊Dic73C2311yescharacteristic
375C2×#11924007—21no—
376C2×#11924007—21no—
377C2×#11924007—21no—
378C2×#11924007—21no—
379C4⋊C4×D73C2311yescharacteristic
380C4⋊C4×D73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×#11924005—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73—21no—
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73C2311yescharacteristic
446#124×C73C2311yescharacteristic
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—82no—
483#11924027—22no—
484#11924027—22no—
485#11924027—41no—
486#11924027—41no—
487C2×Dic146—22no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—41no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—41no—
499C2×D292—21no—
500C2×D292C2×D411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—82no—
512C2×C22⋊D73C2×D411yescharacteristic
513C2×C22⋊D73C2×D411yescharacteristic
514D4×D73—22no—
515D4×D73—41no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73C2411yescharacteristic
529C2×C4×D73C2411yescharacteristic
530Dic292—22no—
531Dic292—41no—
532#11924018—41no—
533#11924017—22no—
534#11924017—41no—
535#11924016—22no—
536#11924016—22no—
537#11924016—22no—
538#11924016—22no—
539#11924016#4114yescomplemented
540#11924015—22no—
541#11924013—41no—
542#11924011—41no—
543#11924011—41no—
544C2×#10596831—22no—
545C2×#10596831—41no—
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C8×D73—22no—
551C8×D73—22no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640C2×Q8×C73C2411yescharacteristic
641C2×D4×C73—22no—
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73—41no—
645C2×D4×C73C2411yescharacteristic
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—82no—
655C22×C4×C73C2×D411yescharacteristic
656C22×C4×C73C2×D411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658SD16×C73—22no—
659SD16×C73—41no—
660D8×C73—22no—
661D8×C73—41no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C42×C73—21no—
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—21no—
692C23×C73—42no—
693C23×C73—42no—
694C23×C73—81no—
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—42no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73C22×D411yescharacteristic
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704D4×C73—21no—
705D4×C73—21no—
706D4×C73—21no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—42no—
710D4×C73—42no—
711D4×C73C2×#4112yes—
712C2×C4×C73—22no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—41no—
721C2×C4×C73—42no—
722C2×C4×C73—81no—
723C2×C4×C73—81no—
724C2×C4×C73—81no—
725C2×C4×C73—81no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C2511yescharacteristic
733C22⋊D73—22no—
734C22⋊D73—22no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—42no—
752C2×Dic73—42no—
753C2×Dic73—42no—
754C2×Dic73—81no—
755C2×Dic73—81no—
756C2×Dic73—81no—
757C2×Dic73—81no—
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764D292—21no—
765D292—21no—
766D292—41no—
767D292—81no—
768C4×D73—21no—
769C4×D73—21no—
770C4×D73—21no—
771C4×D73—21no—
772C4×D73—42no—
773C4×D73—81no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777Dic146—21no—
778Dic146—21no—
779Dic146—21no—
780Dic146—21no—
781Dic146—21no—
782Dic146—41no—
783Dic146—42no—
784Dic146—42no—
785Dic146—81no—
786Dic146—81no—
787Dic146C2×#4112yes—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73—21no—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831C2×#4112yes—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—22no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—84no—
808C22×C73#57712yes—
809C22×C73C23×D411yescharacteristic
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—21no—
813C2×D73—21no—
814C2×D73—21no—
815C2×D73—21no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73C22×#4111yescharacteristic
831C4×C73#58511yescharacteristic
832Dic73—21no—
833Dic73—21no—
834Dic73—22no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61472—731nomaximal, Sylow
846C2×C73—22no—
847C2×C73—42no—
848C2×C73—81no—
849C2×C73—81no—
850C2×C73D4×#4111yescharacteristic
851C2×C73C2×#57711yescharacteristic
852C2×C73#358411yescharacteristic
853D73—41no—
854D73—41no—
855D73—81no—
856#3516—731no—
857#3513—731no—
858#3394—731no—
859#3381—731no—
860#3376—731no—
861#3371—731no—
862#3337—731no—
863#3337—731no—
864#3335—731no—
865#3326—731no—
866#3323—731no—
867#3318—731no—
868#3314—731no—
869#3312—731no—
870#3308—731no—
871#3282—731no—
872#3282—731no—
873D4×SD16—731no—
874#3174—731no—
875#3173—731no—
876#3168—731no—
877#3121—731no—
878#3120—731no—
879#3119—731no—
880#3118—731no—
881#3117—731no—
882#3114D7311yescharacteristic, complemented
883#2966—731no—
884#2952—731no—
885#2949—731no—
886C2×C4×SD16—731no—
887C73#6147211yescharacteristic, complemented, Sylow
888C2×#135—731no—
889C22×SD16—731no—
890C22×SD16—731no—
891#559—731no—
892#557—731no—
893#556—731no—
894#556—1461no—
895#554—731no—
896#554—731no—
897#554—1461no—
898#553—731no—
899#553—731no—
900#553—1461no—
901#553—1461no—
902#552—731no—
903#552—731no—
904#552—1461no—
905#551—1461no—
906#551—1461no—
907D4×Q8—731no—
908#548—731no—
909#548—731no—
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#542—1461no—
918#541—731no—
919#541—1461no—
920#540—731no—
921#539—1461no—
922#538—1461no—
923#529—731no—
924#529—731no—
925#529—1461no—
926#529—1461no—
927#529C2×D7311yescharacteristic, complemented
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#520—731no—
932#519—731no—
933#518—731no—
934C2×C4×Q8—731no—
935C2×C4×D4C2×D7311yescharacteristic
936#499—731no—
937#499—731no—
938#498—731no—
939#495—731no—
940#495—731no—
941#492—731no—
942#491—731no—
943#490—731no—
944#489—731no—
945#489—731no—
946#488—731no—
947#488—731no—
948#485—731no—
949#485—731no—
950#484—731no—
951#484—731no—
952#483—731no—
953#483C2×D7311yescharacteristic, complemented
954#482—731no—
955#482—731no—
956#481—731no—
957#481—731no—
958#480—731no—
959#480C2×D7311yescharacteristic, complemented
960#479—731no—
961#479—731no—
962#479—731no—
963#479—731no—
964#478—731no—
965#478—731no—
966#478C2×D7311yescharacteristic
967#478C2×D7311yescharacteristic, complemented
968#477—731no—
969#476—731no—
970#475—731no—
971#474—731no—
972#470—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#467—731no—
977#466—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#465—731no—
984#464—731no—
985#464—731no—
986#464—731no—
987#464—731no—
988#463—731no—
989#463—731no—
990#463C2×D7311yescharacteristic
991#463C2×D7311yescharacteristic, complemented
992#462—731no—
993#461—731no—
994#460—731no—
995#459—731no—
996#452—731no—
997#452—731no—
998#451—731no—
999#451—731no—
1000#450—731no—
1001#450C2×D7311yescharacteristic
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448—731no—
1006#447—731no—
1007#447C2×D7311yescharacteristic
1008#446—731no—
1009C8×Q8—731no—
1010#442—731no—
1011#442C2×D7311yescharacteristic
1012#442C2×D7311yescharacteristic, complemented
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440C2×D7311yescharacteristic
1021#440C2×D7311yescharacteristic, complemented
1022C4×Q16—731no—
1023C4×SD16—731no—
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×SD16—731no—
1037C4×D8—731no—
1038#436—731no—
1039#435—731no—
1040#435—731no—
1041C8×D4—731no—
1042C8×D4—731no—
1043C8×D4—731no—
1044#433—731no—
1045#433—731no—
1046#432C2×D7311yescharacteristic, complemented
1047#427—731no—
1048C2×#106—731no—
1049C2×#106—731no—
1050#419—731no—
1051#418—731no—
1052#417—731no—
1053#417—731no—
1054C2×#103—731no—
1055C2×#102—731no—
1056#405—731no—
1057#405—731no—
1058C2×C4×C8—731no—
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—1461no—
1062C22×Q8—731no—
1063C22×Q8—731no—
1064C22×D4—731no—
1065C22×D4—1461no—
1066C22×D4C22×D7311yescharacteristic
1067C23×C4—21no—
1068#135—1464no—
1069C2×Q16—731no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—1464no—
1081C2×SD16—1464no—
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8C22×D7311yescharacteristic
1086C2×D8C22×D7311yescharacteristic
1087C2×M16—731no—
1088C2×M16—731no—
1089C22×C8—731no—
1090C22×C8—731no—
1091C22×C8—731no—
1092C22×C8—731no—
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—1461no—
1097C4⋊Q8—1461no—
1098#127—731no—
1099#126—21no—
1100#126—731no—
1101#126—731no—
1102#126—1461no—
1103#126—1461no—
1104#126—1461no—
1105#126—1461no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#125—731no—
1114#125—731no—
1115#125—731no—
1116#125—731no—
1117#125—1461no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125C22×D7311yescharacteristic
1125#124—731no—
1126#124—731no—
1127#124—731no—
1128#124—731no—
1129#124—1461no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124C22×D7311yescharacteristic
1135#123—21no—
1136#123—731no—
1137#123—731no—
1138#123—1461no—
1139#123—1461no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153C22⋊Q8—731no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8C22×D7311yescharacteristic
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4C22×D7311yescharacteristic
1235C4×D4C22×D7311yescharacteristic
1236C4×D4C22×D7311yescharacteristic
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—731no—
1254C2×C4⋊C4—731no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4C22×D7311yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—1461no—
1266C2×C42C22×D7311yescharacteristic
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107C22×D7311yescharacteristic
1272#107C22×D7311yescharacteristic
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8C22×D7311yescharacteristic
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102C22×D7311yescharacteristic
1316#102C22×D7311yescharacteristic
1317#102C22×D7311yescharacteristic
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8C22×D7311yescharacteristic
1326C22⋊C8C22×D7311yescharacteristic
1327#97—731no—
1328#97—731no—
1329#97C22×D7311yescharacteristic
1330#97C22×D7311yescharacteristic
1331C4×C8—731no—
1332C4×C8—731no—
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8—731no—
1337C24—21no—
1338C24—1461no—
1339#41—2921no—
1340#41—2921no—
1341#41—5842no—
1342#41—1462no—
1343#41—1462no—
1344C2×Q8—2921no—
1345C2×Q8—2921no—
1346C2×Q8—731no—
1347C2×Q8—731no—
1348C2×Q8—731no—
1349C2×Q8—731no—
1350C2×Q8—1462no—
1351C2×Q8—1461no—
1352C2×Q8—1461no—
1353C2×Q8—1461no—
1354C2×Q8—1462no—
1355C2×Q8—1461no—
1356C2×Q8C23×D7311yescharacteristic
1357C2×D4—22no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—41no—
1361C2×D4—2921no—
1362C2×D4—5842no—
1363C2×D4—731no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—1461no—
1368C2×D4—1461no—
1369C2×D4—1461no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1462no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4C23×D7311yescharacteristic
1379C2×D4C23×D7311yescharacteristic
1380C2×D4C23×D7311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—82no—
1388C22×C4—731no—
1389C22×C4—731no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4D4×D7311yescharacteristic
1403C22×C4D4×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—2921no—
1406Q16—2921no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—41no—
1410SD16—2921no—
1411SD16—734no—
1412SD16—1462no—
1413SD16—1462no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—22no—
1419D8—41no—
1420D8—2921no—
1421M16—2921no—
1422M16—2921no—
1423C2×C8—2921no—
1424C2×C8—731no—
1425C2×C8—731no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—1462no—
1429C2×C8—1462no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4C23×D7311yescharacteristic
1482C4⋊C4C23×D7311yescharacteristic
1483C4⋊C4C23×D7311yescharacteristic
1484C4⋊C4C23×D7311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
1497C22⋊C4—731no—
1498C22⋊C4—731no—
1499C22⋊C4—731no—
1500C22⋊C4—731no—
1501C22⋊C4—731no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C42—21no—
1528C42—731no—
1529C42—731no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42D4×D7311yescharacteristic
1542C42D4×D7311yescharacteristic
1543C42C23×D7311yescharacteristic
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—2922no—
1552C23—5841no—
1553C23—5841no—
1554C23—731no—
1555C23—731no—
1556C23—1461no—
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—2922no—
1561Q8—2921no—
1562Q8—2922no—
1563Q8—5841no—
1564Q8—5841no—
1565Q8—732no—
1566Q8—1461no—
1567Q8—1461no—
1568Q8—1461no—
1569Q8—1461no—
1570Q8—1461no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—42no—
1577D4—42no—
1578D4—2921no—
1579D4—2922no—
1580D4—2922no—
1581D4—2922no—
1582D4—2922no—
1583D4—5841no—
1584D4—5841no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—5841no—
1589D4—1462no—
1590D4—1462no—
1591D4—1461no—
1592D4—1461no—
1593D4#41×D7312yes—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—41no—
1603C2×C4—42no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—2922no—
1610C2×C4—2922no—
1611C2×C4—2922no—
1612C2×C4—2922no—
1613C2×C4—5841no—
1614C2×C4—5841no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—731no—
1622C2×C4—731no—
1623C2×C4—731no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—1461no—
1628C2×C4—1461no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4C2×D4×D7311yescharacteristic
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—732no—
1649C8—1461no—
1650C8—1461no—
1651C8—1461no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—84no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—11682no—
1668C22—1461no—
1669C22—1461no—
1670C22—1461no—
1671C22—1461no—
1672C22—1461no—
1673C22—1461no—
1674C22#1798939712yes—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—2921no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—1461no—
1693C4—1461no—
1694C4—1461no—
1695C4—1462no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942311yescharacteristic
1701C2—22no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—2921no—
1706C2—2921no—
1707C2—5841no—
1708C2#2262341411yescharacteristic
1709C2C2×#1798939711yescharacteristic
1710C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3114C2
socleC22×C73C23×D4
hypercenter#3114D73
hypocenterC73#61472
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #22623914C2semidirect
2. #22623871C2semidirect
3. #22622930C2semidirect
4. #22622801C2semidirect
5. #22622762C2semidirect
6. #22622697C2semidirect
7. #22622317C2semidirect
8. #22622314C2semidirect
9. #22622281C2semidirect
10. #22622191C2semidirect
11. #22622144C2semidirect
12. #22622076C2semidirect
13. #22622016C2semidirect
14. #22621980C2semidirect
15. #22621920C2semidirect
16. #22621644C2semidirect
17. #22621642C2semidirect
18. #22621625C2semidirect
19. #22620557C2semidirect
20. #22620546C2semidirect
21. #22620495C2semidirect
22. #22620158C2semidirect
23. #22620149C2semidirect
24. #22620134C2semidirect
25. #22620113C2semidirect
26. #22620104C2semidirect
27. #22618900C2semidirect
28. #22618813C2semidirect
29. #22618787C2semidirect
30. C2×C4×#11924016C2semidirect
31. C73×#3114C2semidirect
36. #17989314C22semidirect
37. #17989306C22semidirect
41. #17989295C22semidirect
46. #17989275C22semidirect
52. #17989245C22semidirect
53. #17989243C22semidirect
61. #17989202C22semidirect
62. #17989195C22semidirect
74. #17989066C22semidirect
75. #17989063C22semidirect
77. C2×C4×Dic146C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
81. #17988970C22semidirect
82. #17988969C22semidirect
84. #17988954C22semidirect
86. #17988945C22semidirect
87. #17988945C22semidirect
88. #17988944C22semidirect
89. #17988941C22semidirect
90. #17988931C22semidirect
91. #17988930C22semidirect
92. #17988924C22semidirect
93. #17988923C22semidirect
94. #17988916C22semidirect
96. #17988909C22semidirect
97. #17988907C22semidirect
99. #17988899C22semidirect
100. #17988897C22semidirect
101. #17988895C22semidirect
102. #17988895C22semidirect
103. #17988893C22semidirect
105. #17988885C22semidirect
106. #17988881C22semidirect
107. #17988876C22semidirect
108. #17988870C22semidirect
110. #17988846C22semidirect
112. #17988834C22semidirect
113. #17988830C22semidirect
114. #17988826C22semidirect
116. #17988819C22semidirect
119. #17988815C22semidirect
120. #17988815C22semidirect
121. #17988814C22semidirect
122. #17988810C22semidirect
123. #17988810C22semidirect
124. #17988808C22semidirect
125. #17988807C22semidirect
126. #17988801C22semidirect
128. #17988796C22semidirect
134. #17988745C22semidirect
135. #17988744C22semidirect
137. #17988733C22semidirect
138. #17988729C22semidirect
142. #17988714C22semidirect
143. #17988711C22semidirect
145. #17988695C22semidirect
146. #17988695C22semidirect
147. #17988693C22semidirect
148. #17988689C22semidirect
149. #17988689C22semidirect
151. #17988686C22semidirect
152. C4×#11924018C22semidirect
155. #17988678C22semidirect
156. C4×#11924015C22semidirect
161. C4×#11924016C22semidirect
162. C4×#11924016C22semidirect
163. C4×#11924016C22semidirect
164. C4×#11924016C22semidirect
165. C4×#11924016C22semidirect
166. #17988672C22semidirect
167. C4×#11924013C22semidirect
168. #17988664C22semidirect
170. #17988655C22semidirect
171. #17988652C22semidirect
173. #17988650C22semidirect
174. #17988649C22semidirect
175. #17988649C22semidirect
176. #17988624C22semidirect
177. C2×#14556522C22semidirect
178. #106×D73C22semidirect
179. #17988594C22semidirect
182. #17988585C22semidirect
183. C2×#14556514C22semidirect
185. #17988544C22semidirect
186. #17988544C22semidirect
187. C2×C4×#10596831C22semidirect
188. #529×C73C22semidirect
190. #483×C73C22semidirect
191. #480×C73C22semidirect
193. #478×C73C22semidirect
195. #463×C73C22semidirect
199. #442×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
539. #11924016#41semidirect
882. #3114D73semidirect
887. C73#61472semidirect
927. #529C2×D73semidirect
953. #483C2×D73semidirect
959. #480C2×D73semidirect
967. #478C2×D73semidirect
991. #463C2×D73semidirect
1012. #442C2×D73semidirect
1021. #440C2×D73semidirect
1046. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239142
#226238712
#226229302
#226228012
#226227622
#226226972
#226223172
#226223142
#226222812
#226221912
#226221442
#226220762
#226220162
#226219802
#226219202
#226216442
#226216422
#226216252
#226205572
#226205462
#226204952
#226201582
#226201492
#226201342
#226201132
#226201042
#226189002
#226188132
#226187872
C2×C4×#119240162
C73×#31142
#6147273