Finite Group Databasebeta

← #33978752

Subgroups — #33978752

Order 18688.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623801C211yesmaximal, characteristic, complemented
2#22623547C211yesmaximal, characteristic, complemented
3#22623000C211yesmaximal, characteristic, complemented
4#22622992C211yesmaximal, characteristic, complemented
5#22622700C211yesmaximal, characteristic, complemented
6#22622692C211yesmaximal, characteristic, complemented
7#22622059C211yesmaximal, characteristic, complemented
8#22622057C211yesmaximal, characteristic, complemented
9#22621887C211yesmaximal, characteristic, complemented
10#22621885C211yesmaximal, characteristic, complemented
11#22621761C211yesmaximal, characteristic, complemented
12#22621759C211yesmaximal, characteristic, complemented
13#22621641C211yesmaximal, characteristic, complemented
14#22621632C211yesmaximal, characteristic, complemented
15#22621517C211yesmaximal, characteristic, complemented
16#22621444C211yesmaximal, characteristic, complemented
17#22621435C211yesmaximal, characteristic, complemented
18#22621286C211yesmaximal, characteristic, complemented
19#22621265C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22620945C211yesmaximal, characteristic, complemented
22#22620939C211yesmaximal, characteristic, complemented
23#22620904C211yesmaximal, characteristic, complemented
24#22620075C211yesmaximal, characteristic, complemented
25#22620059C211yesmaximal, characteristic, complemented
26#22619957C211yesmaximal, characteristic, complemented
27#22619400C211yesmaximal, characteristic, complemented
28#22619382C211yesmaximal, characteristic, complemented
29#460×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3271C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic, complemented
33C2×#14556611C2211yescharacteristic, complemented
34C2×SD16×D73C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36#17989323C2211yescharacteristic
37#17989322C2211yescharacteristic
38#17989320—21no—
39#17989313C2211yescharacteristic, complemented
40#17989306—21no—
41#17989306C2211yescharacteristic, complemented
42#17989277—21no—
43#17989277C2211yescharacteristic, complemented
44#17989271—21no—
45#17989271C2211yescharacteristic
46#17989258C2211yescharacteristic
47#17989257—21no—
48Q8×C22⋊D73C2211yescharacteristic
49#17989244C2211yescharacteristic
50#17989237—21no—
51#17989237C2211yescharacteristic
52#17989234C2211yescharacteristic
53#17989234C2211yescharacteristic
54#17989226—21no—
55#17989226—21no—
56#17989225C2211yescharacteristic
57#17989225C2211yescharacteristic
58#17989187—21no—
59#17989187—21no—
60#17989150—21no—
61#17989141C2211yescharacteristic
62#17989139—21no—
63#17989139C2211yescharacteristic, complemented
64#17989133C2211yescharacteristic
65#17989133C2211yescharacteristic
66#17989132C2211yescharacteristic
67#17989132C2211yescharacteristic
68#127×D73C2211yescharacteristic
69#17989118—21no—
70#17989118C2211yescharacteristic, complemented
71#17989116—21no—
72#17989116C2211yescharacteristic
73#17989059—21no—
74#41×Dic73C2211yescharacteristic, complemented
75C4×#11924027—21no—
76C4×#11924027C2211yescharacteristic
77C2×Q8×Dic73C2211yescharacteristic, complemented
78C4×Q8×D73C2211yescharacteristic
79#17988980C2211yescharacteristic, complemented
80#17988978C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic
82#17988970C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic
85#17988951C2211yescharacteristic
86#17988948C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic
91#17988916C2211yescharacteristic
92#17988912C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988906C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988895C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988833C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic
110#17988825C2211yescharacteristic
111#17988818C2211yescharacteristic, complemented
112#17988816C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic
114#17988814C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic
116#17988811C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988795C2211yescharacteristic, complemented
129#17988795C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988788C2211yescharacteristic
134#17988787C2211yescharacteristic
135#17988786C2211yescharacteristic
136#17988786C2211yescharacteristic
137#17988785C2211yescharacteristic
138#17988785C2211yescharacteristic
139#17988785C2211yescharacteristic
140#17988785C2211yescharacteristic
141#17988784C2211yescharacteristic
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic, complemented
146#17988749C2211yescharacteristic, complemented
147#17988749C2211yescharacteristic, complemented
148#17988747C2211yescharacteristic, complemented
149#17988744C2211yescharacteristic
150#17988741C2211yescharacteristic
151#17988736C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988732C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988726C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic
157#17988719C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic, complemented
162#17988695C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988692C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988672C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic
175#17988650C2211yescharacteristic
176#17988642C2211yescharacteristic
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic
182#17988589C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188C2×#137×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic, complemented
190#550×C73C2211yescharacteristic
191#548×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic
193#469×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic, complemented
201#441×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027D411yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214#14556622—42no—
215#14556611—42no—
216C2×Dic292C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229SD16×D73—42no—
230SD16×D73—42no—
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556590—21no—
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556589—21no—
241#14556589C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556588C2311yescharacteristic
244#14556587—21no—
245#14556587—21no—
246#14556587—21no—
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556583—21no—
256#14556583C2311yescharacteristic
257#14556582—21no—
258#14556582C2311yescharacteristic
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556579—21no—
266#14556578—21no—
267#14556578—21no—
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556576—21no—
274#14556576—21no—
275#14556574—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570—21no—
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318#14556559—21no—
319Q8×Dic73—21no—
320Q8×Dic73—21no—
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556—21no—
334#14556556D411yescharacteristic
335#14556556C2311yescharacteristic
336C4×D292—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73—21no—
341D4×Dic73D411yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346#14556553—21no—
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556550—21no—
363#14556550C2311yescharacteristic
364#14556549—21no—
365#14556549D411yescharacteristic
366#14556548—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547D411yescharacteristic
373#14556547D411yescharacteristic
374C2×C4⋊Dic73—21no—
375C2×C4⋊Dic73C2311yescharacteristic
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443#137×C73—42no—
444#135×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#127×C73C2311yescharacteristic
458#124×C73—21no—
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73—21no—
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468C4×Q8×C73C2311yescharacteristic
469C4×Q8×C73C2311yescharacteristic
470C4×D4×C73—21no—
471C4×D4×C73—21no—
472C4×D4×C73C2311yescharacteristic
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924027—42no—
491#11924027—44no—
492#11924027—82no—
493#11924027—82no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500Q8×D73—22no—
501Q8×D73—41no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—41no—
520D4×D73—41no—
521D4×D73—41no—
522D4×D73—41no—
523D4×D73—44no—
524D4×D73—82no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
532C22×Dic73C2×D411yescharacteristic
533C22×Dic73C2×D411yescharacteristic
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543Dic292—41no—
544#11924018—22no—
545#11924018—41no—
546#11924018—41no—
547#11924017—41no—
548#11924017—41no—
549#11924016—41no—
550#11924016—41no—
551#11924016—41no—
552#11924015—22no—
553#11924015—22no—
554#11924015—41no—
555#11924015—41no—
556#11924013—41no—
557#11924013—41no—
558#11924012—41no—
559C2×#10596831—41no—
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C8×D73—41no—
565C8×D73—41no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
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×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647#41×C73—22no—
648#41×C73—41no—
649#41×C73—41no—
650#41×C73—41no—
651#41×C73—41no—
652#41×C73—41no—
653C2×Q8×C73—21no—
654C2×Q8×C73—22no—
655C2×Q8×C73—41no—
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73C2×D411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73C2411yescharacteristic
676C22×C4×C73C2411yescharacteristic
677Q16×C73—22no—
678Q16×C73—41no—
679SD16×C73—22no—
680SD16×C73—22no—
681SD16×C73—41no—
682SD16×C73—41no—
683SD16×C73—41no—
684D8×C73—41no—
685D8×C73—41no—
686M16×C73—41no—
687C2×C8×C73—41no—
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C2×C8×C73C2411yescharacteristic
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73C2×D411yescharacteristic
705C22⋊C4×C73C2×D411yescharacteristic
706C42×C73—21no—
707C42×C73—21no—
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—42no—
729Q8×C73H(5,𝔽2)12yes—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—41no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—42no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73—81no—
743D4×C73—81no—
744D4×C73—81no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—42no—
755C2×C4×C73—42no—
756C2×C4×C73—81no—
757C2×C4×C73—81no—
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C2511yescharacteristic
763C22⋊D73—22no—
764C22⋊D73—22no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—22no—
777C2×Dic73—22no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—41no—
785C2×Dic73—41no—
786C2×Dic73—42no—
787C2×Dic73—42no—
788C2×Dic73—42no—
789C2×Dic73—81no—
790C2×Dic73—81no—
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—42no—
803D292—81no—
804C4×D73—22no—
805C4×D73—21no—
806C4×D73—21no—
807C4×D73—22no—
808C4×D73—42no—
809C4×D73—42no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—41no—
819Dic146—42no—
820Dic146—42no—
821Dic146—42no—
822C8×C73—21no—
823C8×C73—21no—
824C8×C73—21no—
825C8×C73—21no—
826#10596831—21no—
827#10596831—21no—
828#10596831—21no—
829#10596831—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—21no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73C23×D411yescharacteristic
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—162no—
855C2×D73—162no—
856C2×D73#57512yes—
857C4×C73—22no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C2×H(5,𝔽2)11yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—41no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57712yes—
881#61981—731nomaximal, Sylow
882C2×C73—41no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73C2×#57511yescharacteristic
889C2×C73C2×#57711yescharacteristic
890D73—22no—
891D73—81no—
892D73—81no—
893#3508—731no—
894#3482—731no—
895#3401—731no—
896#3401—731no—
897#3371—731no—
898#3371—731no—
899#3317—731no—
900#3317—731no—
901#3306—731no—
902#3306—731no—
903#3296—731no—
904#3296—731no—
905#3282—731no—
906#3282—731no—
907#3271—731no—
908#3271D7311yescharacteristic, complemented
909#3266—731no—
910#3266—731no—
911#3251—731no—
912#3248—731no—
913#3246—731no—
914#3217—731no—
915#3216—731no—
916#3212—731no—
917#3115—731no—
918#3113—731no—
919#3103—731no—
920#3037—731no—
921#3035—731no—
922C2×#460—731no—
923#2990—731no—
924C73#6198111yescharacteristic, complemented, Sylow
925C2×#137—731no—
926C2×#137C2×D7311yescharacteristic, complemented
927C2×#135—731no—
928C2×#135C2×D7311yescharacteristic, complemented
929C22×SD16—731no—
930C22×SD16—731no—
931#559—731no—
932#559—731no—
933#559—1461no—
934#557—731no—
935#556—731no—
936#556—1461no—
937#552—731no—
938#552—731no—
939#552—1461no—
940#552—1461no—
941#550—731no—
942#550—1461no—
943#550C2×D7311yescharacteristic
944D4×Q8—731no—
945#548—731no—
946#548C2×D7311yescharacteristic, complemented
947#547—731no—
948#547—1461no—
949#546—731no—
950#546—731no—
951#546—731no—
952#546—731no—
953#546—1461no—
954#546—1461no—
955#540—1461no—
956#540—1461no—
957#535—1461no—
958#533—731no—
959#533—731no—
960#533—1461no—
961#532—731no—
962#532—731no—
963#532—731no—
964#532—731no—
965C2×#127—731no—
966#529—731no—
967#529—731no—
968#529—1461no—
969#529—1461no—
970#518—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—1461no—
974C2×C4×Q8—731no—
975C2×C4×Q8—731no—
976#497—731no—
977#497—731no—
978#496—731no—
979#496C2×D7311yescharacteristic
980#495—731no—
981#495—731no—
982#490—731no—
983#490—731no—
984#489—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#483—731no—
989#483—731no—
990#482—731no—
991#482—731no—
992#481—731no—
993#481—731no—
994#479—731no—
995#479—731no—
996#478—731no—
997#478—731no—
998#476—731no—
999#476—731no—
1000#475—731no—
1001#475—731no—
1002#475—731no—
1003#474—731no—
1004#469—731no—
1005#469C2×D7311yescharacteristic, complemented
1006#468—731no—
1007#468—731no—
1008#467—731no—
1009#467—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465C2×D7311yescharacteristic, complemented
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464C2×D7311yescharacteristic, complemented
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#462—731no—
1029#462—731no—
1030#462—731no—
1031#461—731no—
1032#461—731no—
1033#461—731no—
1034#460—731no—
1035#460—731no—
1036#460—731no—
1037#460—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460C2×D7311yescharacteristic
1044#459—731no—
1045#459—731no—
1046#452—731no—
1047#452—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452C2×D7311yescharacteristic, complemented
1052#451—731no—
1053#451—731no—
1054#450—731no—
1055#450—731no—
1056#449—731no—
1057#449—731no—
1058#449C2×D7311yescharacteristic, complemented
1059#449C2×D7311yescharacteristic, complemented
1060#448—731no—
1061#448C2×D7311yescharacteristic, complemented
1062#447—731no—
1063#447—731no—
1064#446—731no—
1065#446—731no—
1066#442—731no—
1067#442—731no—
1068#441—731no—
1069#441—731no—
1070#441—731no—
1071#441C2×D7311yescharacteristic, complemented
1072#440—731no—
1073#440—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078#435—731no—
1079#435—731no—
1080#435—731no—
1081#435C2×D7311yescharacteristic, complemented
1082C8×D4—731no—
1083C8×D4—731no—
1084#432—731no—
1085#432—731no—
1086#431—731no—
1087#423—731no—
1088C2×C4⋊C8—731no—
1089C2×C4⋊C8—731no—
1090#417—731no—
1091#417—731no—
1092#416—731no—
1093#416—731no—
1094C2×#102—731no—
1095C2×#102—731no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—1461no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41C22×D7311yescharacteristic
1103C2×#41C22×D7311yescharacteristic
1104C2×#41C22×D7311yescharacteristic
1105C22×Q8—731no—
1106C22×Q8C22×D7311yescharacteristic
1107C22×D4—731no—
1108C22×D4—731no—
1109C22×D4—1461no—
1110C22×D4—1461no—
1111#137—42no—
1112#137—2922no—
1113#135—42no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×Q16—731no—
1119C2×Q16C22×D7311yescharacteristic
1120C2×Q16C22×D7311yescharacteristic
1121C2×SD16—2922no—
1122C2×SD16—2922no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16C22×D7311yescharacteristic
1133C2×SD16C22×D7311yescharacteristic
1134C2×SD16C22×D7311yescharacteristic
1135C2×SD16C22×D7311yescharacteristic
1136C2×SD16C22×D7311yescharacteristic
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8C22×D7311yescharacteristic
1140C2×D8C22×D7311yescharacteristic
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C22×C8C22×D7311yescharacteristic
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151C4⋊Q8—1461no—
1152C4⋊Q8—1461no—
1153#127—21no—
1154#127—731no—
1155#127—731no—
1156#127—731no—
1157#127—1461no—
1158#127—1461no—
1159#127—1461no—
1160#127C22×D7311yescharacteristic
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#125—731no—
1168#125—731no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#125—1461no—
1174#125—1461no—
1175#124—21no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—731no—
1180#124—731no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124C22×D7311yescharacteristic
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201C22⋊Q8—21no—
1202C22⋊Q8—731no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—731no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8C22×D7311yescharacteristic
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—731no—
1219#121—731no—
1220#121—731no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121C22×D7311yescharacteristic
1235#121C22×D7311yescharacteristic
1236#121C22×D7311yescharacteristic
1237#120—1461no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241C4×Q8—731no—
1242C4×Q8—731no—
1243C4×Q8—731no—
1244C4×Q8—731no—
1245C4×Q8—731no—
1246C4×Q8—731no—
1247C4×Q8—731no—
1248C4×Q8—731no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—1461no—
1252C4×Q8—1461no—
1253C4×Q8—1461no—
1254C4×Q8—1461no—
1255C4×Q8—1461no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8C22×D7311yescharacteristic
1259C4×Q8C22×D7311yescharacteristic
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4C22×D7311yescharacteristic
1289#117—731no—
1290#117—731no—
1291#117—731no—
1292#117—731no—
1293#117—1461no—
1294#117—1461no—
1295#117—1461no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301C2×C4⋊C4—731no—
1302C2×C4⋊C4—731no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C22⋊C4—1461no—
1306C2×C22⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C42—731no—
1310C2×C42—731no—
1311C2×C42—731no—
1312C2×C42—1461no—
1313C2×C42—1461no—
1314C2×C42—1461no—
1315#107—731no—
1316#107—731no—
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106—731no—
1322#106C22×D7311yescharacteristic
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8C22×D7311yescharacteristic
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365C22⋊C8—731no—
1366C22⋊C8—731no—
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8C22×D7311yescharacteristic
1370C22⋊C8C22×D7311yescharacteristic
1371#97—731no—
1372#97—731no—
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C24—1461no—
1378C24—1461no—
1379#41—22no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2924no—
1390#41—2922no—
1391#41—5842no—
1392#41—5842no—
1393C2×Q8—21no—
1394C2×Q8—22no—
1395C2×Q8—41no—
1396C2×Q8—2921no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—1461no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8—1462no—
1404C2×Q8C23×D7311yescharacteristic
1405C2×Q8C23×D7311yescharacteristic
1406C2×Q8C23×D7311yescharacteristic
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—2921no—
1416C2×D4—2921no—
1417C2×D4—2921no—
1418C2×D4—2921no—
1419C2×D4—2924no—
1420C2×D4—5842no—
1421C2×D4—731no—
1422C2×D4—731no—
1423C2×D4—731no—
1424C2×D4—731no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4D4×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—731no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466Q16—22no—
1467Q16—41no—
1468Q16—2921no—
1469Q16—2921no—
1470Q16—2921no—
1471Q16—1462no—
1472SD16—22no—
1473SD16—22no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—2921no—
1481SD16—2921no—
1482SD16—2921no—
1483SD16—2921no—
1484SD16—1462no—
1485SD16—1462no—
1486D8—41no—
1487D8—41no—
1488D8—2921no—
1489D8—2921no—
1490M16—41no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—2921no—
1495C2×C8—2921no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8—731no—
1499C2×C8—731no—
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C2×C8C23×D7311yescharacteristic
1503C2×C8C23×D7311yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4D4×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C4⋊C4C23×D7311yescharacteristic
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4D4×D7311yescharacteristic
1580C22⋊C4D4×D7311yescharacteristic
1581C42—21no—
1582C42—21no—
1583C42—731no—
1584C42—731no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—2922no—
1606C23—2922no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—731no—
1612C23—1461no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—42no—
1622Q8—2922no—
1623Q8—2921no—
1624Q8—2922no—
1625Q8—2922no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8#1455663612yes—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—41no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—2922no—
1647D4—2922no—
1648D4—2922no—
1649D4—2922no—
1650D4—2922no—
1651D4—2922no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—1462no—
1660D4—1462no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2921no—
1684C2×C4—2921no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—1462no—
1699C2×C4—1462no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1462no—
1707C2×C4—1462no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—732no—
1745C22—11682no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—22no—
1753C4—21no—
1754C4—21no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—2921no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—732no—
1766C4—1461no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4C2×#1455663611yescharacteristic
1773C4#1798942211yescharacteristic
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—5841no—
1780C2—5841no—
1781C2—1462no—
1782C2#2262359111yescharacteristic
1783C2#575×D7311yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3271C2
socleC22×C73C23×D4
hypercenter#3271D73
hypocenterC73#61981
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. #22623801C2semidirect
2. #22623547C2semidirect
3. #22623000C2semidirect
4. #22622992C2semidirect
5. #22622700C2semidirect
6. #22622692C2semidirect
7. #22622059C2semidirect
8. #22622057C2semidirect
9. #22621887C2semidirect
10. #22621885C2semidirect
11. #22621761C2semidirect
12. #22621759C2semidirect
13. #22621641C2semidirect
14. #22621632C2semidirect
15. #22621517C2semidirect
16. #22621444C2semidirect
17. #22621435C2semidirect
18. #22621286C2semidirect
19. #22621265C2semidirect
20. #22621242C2semidirect
21. #22620945C2semidirect
22. #22620939C2semidirect
23. #22620904C2semidirect
24. #22620075C2semidirect
25. #22620059C2semidirect
26. #22619957C2semidirect
27. #22619400C2semidirect
28. #22619382C2semidirect
29. #460×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3271C2semidirect
32. C2×#14556622C22semidirect
33. C2×#14556611C22semidirect
39. #17989313C22semidirect
41. #17989306C22semidirect
43. #17989277C22semidirect
63. #17989139C22semidirect
70. #17989118C22semidirect
74. #41×Dic73C22semidirect
77. C2×Q8×Dic73C22semidirect
79. #17988980C22semidirect
80. #17988978C22semidirect
82. #17988970C22semidirect
83. #17988968C22semidirect
86. #17988948C22semidirect
87. #17988945C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
92. #17988912C22semidirect
93. #17988908C22semidirect
94. #17988906C22semidirect
95. #17988903C22semidirect
96. #17988895C22semidirect
97. #17988894C22semidirect
98. #17988886C22semidirect
99. #17988885C22semidirect
100. #17988876C22semidirect
101. #17988875C22semidirect
102. #17988871C22semidirect
103. #17988870C22semidirect
104. #17988870C22semidirect
105. #17988865C22semidirect
106. #17988838C22semidirect
107. #17988833C22semidirect
108. #17988831C22semidirect
111. #17988818C22semidirect
112. #17988816C22semidirect
114. #17988814C22semidirect
116. #17988811C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
119. #17988807C22semidirect
120. #17988807C22semidirect
121. #17988807C22semidirect
122. #17988806C22semidirect
123. #17988804C22semidirect
124. #17988801C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988796C22semidirect
128. #17988795C22semidirect
129. #17988795C22semidirect
130. #17988791C22semidirect
131. #17988790C22semidirect
132. #17988790C22semidirect
144. #17988751C22semidirect
145. #17988751C22semidirect
146. #17988749C22semidirect
147. #17988749C22semidirect
148. #17988747C22semidirect
153. #17988732C22semidirect
154. #17988730C22semidirect
155. #17988726C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988699C22semidirect
161. #17988696C22semidirect
162. #17988695C22semidirect
163. #17988692C22semidirect
164. #17988692C22semidirect
165. #17988690C22semidirect
166. #17988688C22semidirect
167. SD16×Dic73C22semidirect
168. SD16×Dic73C22semidirect
169. #17988672C22semidirect
170. #17988672C22semidirect
172. #17988659C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
182. #17988589C22semidirect
183. #17988588C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
188. C2×#137×C73C22semidirect
189. C2×#135×C73C22semidirect
191. #548×C73C22semidirect
193. #469×C73C22semidirect
194. #465×C73C22semidirect
195. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #449×C73C22semidirect
199. #449×C73C22semidirect
200. #448×C73C22semidirect
201. #441×C73C22semidirect
202. #435×C73C22semidirect
908. #3271D73semidirect
924. C73#61981semidirect
926. C2×#137C2×D73semidirect
928. C2×#135C2×D73semidirect
946. #548C2×D73semidirect
1005. #469C2×D73semidirect
1015. #465C2×D73semidirect
1023. #464C2×D73semidirect
1051. #452C2×D73semidirect
1058. #449C2×D73semidirect
1059. #449C2×D73semidirect
1061. #448C2×D73semidirect
1071. #441C2×D73semidirect
1081. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238012
#226235472
#226230002
#226229922
#226227002
#226226922
#226220592
#226220572
#226218872
#226218852
#226217612
#226217592
#226216412
#226216322
#226215172
#226214442
#226214352
#226212862
#226212652
#226212422
#226209452
#226209392
#226209042
#226200752
#226200592
#226199572
#226194002
#226193822
#460×D732
#226190512
C73×#32712
#6198173